Which could be the first step in solving the equation 0.05x+3−0.02x=4
?

Answers

Answer 1

Answer:

Combine like terms.

Step-by-step explanation:

Subtract 0.02x from 0.05x

Then your equation should look like:

0.03x + 3 = 4

Answer 2
Answer: subtract 3

Step-by-step explanation: Since is 3 is a whole number and there is no variable attached to it. Then that would mean it is best to get rid of the whole number that way you are left with two numbers that have variables attached to them.


Related Questions

based on the results of the simulation, is there convincing statistical evidence at the significance level of 0.05 that the event of audrey selling at least 7 of the 30 selected tickets is unlikely to have occurred by chance alone? responses yes, because the distribution of the trials in the simulation is skewed to the right. yes, because the distribution of the trials in the simulation is skewed to the right. yes, because the number in the histogram with the greatest frequency is 4, not 7. yes, because the number in the histogram with the greatest frequency is 4, not 7. yes, because 7 appears in the right tail of the distribution, indicating that it is more than 2 standard deviations away from the mean. yes, because 7 appears in the right tail of the distribution, indicating that it is more than 2 standard deviations away from the mean. no, because the simulation suggests that it is likely that audrey could sell anywhere from 0 to 11 of the selected tickets. no, because the simulation suggests that it is likely that audrey could sell anywhere from 0 to 11 of the selected tickets. no, because the simulation suggests that audrey selling at least 7 of 30 selected tickets would occur about 13.8% of the time.

Answers

No, there isn't any statistical proof because, according to the simulation, Audrey would sell at least 7 out of the 30 chosen tickets roughly 13.8% of the time.

What exactly is statistical proof?

A type of explanation known as statistical evidence is one that is based on information that has been gathered and then assessed using a mathematical model.

Based on the information provided, the students created the following simulation:

Choose 88 red chips and the rest 600 blue chips.

30 chips are chosen at random, with no replacements.

When choosing the 30 chips, keep track of and record the amount of red chips.

Therefore, we may say that there is no statistical proof that the occurrence happened by chance alone at = 0.05.

Learn more about statistical evidence here:

brainly.com/question/12785170

#SPJ4

100 Points Please help ASAP

Question 1(Multiple Choice Worth 1 points)
(04.07 LC)

Data were collected and showed an increase in ice cream sales as the weather gets warmer.

Which of the following best describes this situation?

Based on the data, this is an example of correlation and causation.
Based on the data, this is an example of correlation.
Based on the data, this is an example of causation.
Based on the data, this is not an example of causation or correlation.

Question 2(Multiple Choice Worth 1 points)
(04.07 MC)

Trey believes there is a correlation between the number of texts sent in class and GPA. He collected data and found that the line of best fit for the data can be modeled by the equation y = 3.9 − 0.3x.

Identify the slope and the type of association.

The slope is −3.9, which indicates a negative correlation.
The slope is 3.9, which indicates a positive correlation.
The slope is 0.3, which indicates a positive correlation.
The slope is −0.3, which indicates a negative correlation.

Question 3(Multiple Choice Worth 1 points)
(04.07 MC)

The average daily profit of an electronics store is $31,435. The company estimates that 15% is lost each day to returns, with a margin of error of ±4%. What is the maximum the company can expect for returned items?

$3457.85
$4621.13
$5972.65
$6638.22

Question 4(Multiple Choice Worth 1 points)
(04.07 MC)

Based on the time recorded for 700 attendees at an amusement park, the average amount of time spent at the park was 7.25 hours with a margin of error of ±1.65 hours. If 3,000 people attended the park on a given day, what is the estimated range of total hours the attendees spent in the park?

8,375 to 16,800 total hours spent in the park
16,800 to 21,785 total hours spent in the park
16,800 to 26,700 total hours spent in the park
16,800 to 35,885 total hours spent in the park

Question 5(Multiple Choice Worth 1 points)
(04.07 MC)

Data regarding fuel efficiency of an airliner were collected. The graph shows the correlation between the distance traveled (in thousands of miles) and the altitude (in thousands of feet):

image of a scatter plot with Distance Traveled on the x axis and Altitude on the y axis with 2 comma 2, 3 comma 10, 5 comma 15, 10 comma 20, 15 comma 15, 18 comma 10, and 19 comma 2

Estimate the average rate of change from x = 15 to x = 19.

−3.25
4
−4
−0.31

Question 6(Multiple Choice Worth 1 points)
(04.07 MC)

An observational study determined that there is a strong correlation between sitting close to the television and poor eyesight. Can it be determined that sitting too close to the television causes poor eyesight? Explain.

Causation cannot be proven because everyone watches television.
Causation can be proven because it is well known that sitting close to the television causes poor eyesight.
Causation can be proven because an experiment was used to prove this hypothesis.
Causation cannot be proven because poor eyesight can occur for other reasons, such as genetics.

Question 7(Multiple Choice Worth 1 points)
(04.07 LC)

Aretha wanted to gather data about the cost of local bowling leagues in her area. She plotted the data and determined that the average bowling league costs consist of a one-time registration fee and a monthly fee modeled by the equation y = 15x + 20.

Identify and interpret the y-intercept in this model.

The y-intercept is 20. This is the cost per month.
The y-intercept is 20. This is the cost of registration.
The y-intercept is 15. This is the cost of registration.
The y-intercept is 15. This is the cost per month.
Question 8(Multiple Choice Worth 1 points)
(04.07 MC)

Analyze the following statement:

Marcus notices that he runs faster in the mornings rather than the evenings.

Is the statement an example of correlation or causation?

Correlation, because time of day doesn't cause a person to run faster or slower
Causation, because Marcus has noticed this over several trials
No relationship, because time of day has nothing to do with how fast a person runs
There is not enough information to make a conclusion

Question 9(Multiple Choice Worth 1 points)
(04.07 MC)

A new streaming service sent out a survey to 350 households to see who would be interested in its service. The company found that it could charge $55 per month, with a margin of error of ±1.3. If 1,000 people signed up for the service, what is the least amount of monthly revenue the company should expect?

$52,815
$53,700
$54,915
$56,300

Question 10(Multiple Choice Worth 1 points)
(04.07 MC)

The price of milk has been increasing over the last month. Audrey believes there is a positive correlation between the number of predicted storms and the price of milk.


Number of Storms Predicted Milk Price
1 $2.70
3 $2.89
4 $3.50
6 $3.88
7 $3.91


Use the table to determine the average rate of change from 3 to 6 storms.
3
0.98
1.21
0.33

Answers

Answer:

1.Based on the data, this is an example of correlation and causation.

2.The slope is −0.3, which indicates a negative correlation.

3.$5972.65

4.16,800 to 26,700 total hours spent in the park.

5. -3.25

6.Causation cannot be proven because poor eyesight can occur for other reasons, such as genetics.

7.The y-intercept is 20. This is the cost of registration.

8.Correlation, because time of day doesn't cause a person to run faster or slower

9.$53,700

10.0.33

Please mark as brainliest :)))

Comment if u need explanation of any answer

Find the ending balance :
Principal: $600
Interest rate :5%
Time : 6 years

Answers

Answer:

3816

Step-by-step explanation:

These tables represent a quadratic function with a vertex at (0, -1). What is
the average rate of change for the interval from x = 8 to x = 9?
OA. -82
OB. -17
C. -65
D. -2
x y
0
1
23456
125
-10
-17
-26
-37
Interval
0 to 1
1 to 2
2 to 3
3 to 4
4 to 5
5 to 6
Average rate
of change
-1
-3
-5
-7
-9
-11
3-2
1-2
3-2
1-2
3-2

Answers

Answer:

B

Step-by-step explanation:

We can notice that based on the given pattern, the average rate of change from [tex]x=n[/tex] to [tex]x=n+1[/tex], where [tex]n \in \mathbb{Z}[/tex], is [tex]-2n-1[/tex].

So, the average rate of change from [tex]x=8[/tex] to [tex]x=9[/tex] is [tex]-2(8)-1=-17[/tex].

The rate of change for the interval from x = 8 to x = 9 is -17.

What is Rate of change?

The pace at which one quantity changes in relation to another quantity is known as the rate of change function. Simply said, the rate of change is calculated by dividing the amount of change in one item by the equal amount of change in another.

The relationship defining how one quantity changes in relation to the change in another quantity is given by the rate of change formula.

We know the standard form of quadratic function

y = a (x - b)² + c with vertex (b, c)

Since the vertex is (0, -1) then b= 0, c= -1.

Then, the quadratic equation is:

y= ax² - 1 passes through (1, 2), (2, -5),.....

So, the rate of change in interval (8, 9) is

= y(9)- y(8)/ (9-8)

= -9² -1 - 8² - 1/ 1

= -17.

Learn more about Rate of change here:

https://brainly.com/question/29518179

#SPJ5

HELP ASAP PLEASE!!!!

and if you can pls tell the steps on how you get the answer

Answers

The answers on the y side are -1, 4,9,14

Steven's birthday party will cost $168 if he invites 14 guests. If there are 59 guests, how much will Steven's birthday party cost? Solve using unit rates.

Answers

Calculated using unit rates, Steven's birthday party will cost him $ 708 if he were to invite 59 guests.

If the party will cost him $168 for him to invite 14 guests, then we will need to calculate the cost for each guest using unit rates.

if 14 guests = $168,

1 guest = 168/14 = $12

so it will cost him $12 per guest he invites

Knowing that each guest will cost him $12, then if Steven wants to invite 59 guests to his birthday party, he will be spending:

59 × $12 = $708

To learn about unit rates visit: https://brainly.com/question/19493296

#SPJ1

Select the correct answer.
Which graph is the graph of f(x) = x³ - 10x² + 16x?
OA.
B.
-5
4
-3 -2
-3
-2
-3
-4
-5
2
-3
5

Answers

The graph of the cubic equation, f(x) = x³ - 10x² + 16x, is shown below

Graph of Cubic equation

From the question, we are to determine graph of the given cubic equation.

The given cubic function is

f(x) = x³ - 10x² + 16x

To graph the equation, we will determine the value of f(x) for certain values of x

When x = 0

f(x) = x³ - 10x² + 16x

f(x) = (0)³ - 10(0)² + 16(0)

f(x) = 0

When x = 2

f(x) = x³ - 10x² + 16x

f(x) = (2)³ - 10(2)² + 16(2)

f(x) = 0

When x = 5

f(x) = x³ - 10x² + 16x

f(x) = (5)³ - 10(5)² + 16(5)

f(x) = -45

When x = 8

f(x) = x³ - 10x² + 16x

f(x) = (8)³ - 10(8)² + 16(8)

f(x) = 0

When x = 10

f(x) = x³ - 10x² + 16x

f(x) = (10)³ - 10(10)² + 16(10)

f(x) = 160

Using the determined points above, the graph of the cubic equation is shown below

Learn more on Graph of cubic equations here: https://brainly.com/question/19707244

#SPJ1

compare adding and subtracting to multiplying and dividing bases with different exponents.​

Answers

Exponent rules for addition and subtraction are identical to one another. As a reminder, all terms' bases must be the same in order to remove terms with exponents. All terms' exponents must be equal.

Define exponents.

A number written as a superscript over another number is known as an exponent. In other words, it means that the base has been elevated to a particular level of power. Other names for the exponent are index and power. mn indicates that m has been multiplied by itself n times if m is a positive number and n is its exponent.

Given,

Adding and subtracting to multiplying and dividing bases with different exponents.​

Exponent rules for addition and subtraction are identical to one another. As a reminder, all terms' bases must be the same in order to remove terms with exponents. All terms' exponents must be equal.

The exponents and variables must match in order to add exponents. The exponents are left constant while the variable coefficients are added. The addition only includes terms with the same variables and powers. Exponents can be multiplied and divided according to this rule.

To learn more about exponents, visit:

https://brainly.com/question/5497425

#SPJ1

What is the rectangular form of Theta = StartFraction 3 pi Over 4 EndFraction? x − y = 0 x − y = 1 x + y = 0 x + y = 1

Answers

The rectangular form of Theta = StartFraction 3 pi Over 4 EndFraction is x + y = 0.

What are polar coordinates?

The polar coordinates system is a two-dimensional coordinate system in which each point is determined by distance from the point and an angle from the reference direction.

This is about converting polar coordinate to rectangular form.

Relationship between coordinates is:

x = r cosθ

y = r sinθ

then;

y/x = sinθ/cosθ

y/x = tanθ

We have θ = 5π/6, finding the value of tan:

tan 5π/6 = tan (π - π/6)

= - 1/√3

= - √3/3

Now Substitute tan with its value:

y/x = -√3/√3

√3y = -√3x

y + x = 0

x + y = 0

Learn more about polar coordinate here;

https://brainly.com/question/20408659

#SPJ1

Answer:

c on edge

Step-by-step explanation:

Noah is a high school basketball player. In a particular game, he made some two point shots and some three point shots. Noah made a total of 11 shots altogether and scored a total of 29 points. Write a system of equations that could be used to determine the number of two point shots noah made and the number of three point shots he made. Define the variables that you use to write the system.

Answers

The system of equations is x + y = 11 and 2x + 3y = 29 and variables are x and y.

Let us assume the number of two point shots be x and the number of three point shots be y. Forming the equation now -

x + y = 11 : Equation 1

2x + 3y = 29 : Equation 2

Rewriting the equation 1 as per x.

x = 11 - y : Equation 3

Keep the value of x form equation 3 in equation 2

2(11 - y) + 3y = 29

Performing multiplication on Left Hand Side of the equation

22 - 2y + 3y = 29

y = 29 - 22

y = 7

Keep the value of y in equation 3.

x = 11 - 7

x = 4

So, the two point shots are 4 and three points shots are 7. The variables are x and y and system of equations are equation 1 and equation 2.

Learn more about equations -

https://brainly.com/question/21405634

#SPJ4

Sharifa's white ball rolled 143 centimeters in 4 seconds and her green ball rolled 112 centimeters in 3 seconds. Which ball rolled at a greater rate of speed?
Question 3 options:



A: white ball



B: green ball



C: The white and green ball rolled at the same rate of speed.



D: red ball

Answers

If Sharifa's white ball rolled 143 centimeters in 4 seconds and her green ball rolled 112 centimeters in 3 seconds. The ball that rolled at a greater is: B: green ball.

How to find the speed?

Using this formula to find the fastest and the slowest speed

Speed for white ball :

Speed for white ball = 143 centimeters /4 seconds

Speed for white ball = 34.75

Speed for green ball:

Speed for green ball = 112 centimeters /3 seconds

Speed for green ball= 37.33

37.33 is greater than 34.75 which means that green ball is the fastest.

Therefore the correct option is B.

Learn more about speed here:https://brainly.com/question/14935741

#SPJ1

1. A revenue of $2000 is obtained from the sales of item A at $40 each and item B at $35 each. Write an
equation that shows the relationship between the numbers of items sold.
2. A revenue of $3000 is obtained from the sales of item A at $50 each and item B at $80 each. Write an equation that shows the relationship between the numbers of items sold.

Answers

Answer:

Step-by-step explanation:

Hi vengefull,  :0  like that show on Netflix about revenge, huh  :0 anyway, back to math.

the equation 1):

40*A+ 35*B=2000

the equation 2):

50*A + 80*B=3000

A model train goes 8 inches in 2 seconds.



1. Calculate two unit rates for the model train and enter them in the table.



2. Explain the meaning of each of the numbers you found.

Answers

Answer:

16

Step-by-step explanation:

8 x 2 = 16  16 - 8 =2

Answer:

16......................

SOME HELP FAST!! What is the slope of this line?

Answers

Answer:

-2/3

Step-by-step explanation:

Answer = -2/3

Slope of the line = rise/run

On a map with a scale 1: 100,000, the distance between two cities is 12 cm. What would be the distance between these two cities on a different map with a scale 1:300,000?

Answers

The distance between these two cities on a different map with a scale 1:300,000 is 4vm

How to calculate the distance?

From the information, on the map with a scale 1: 100,000, the distance between two cities is 12 cm.

In this case, the distance between these two cities on a different map with a scale 1:300,000 will be:

= (100000 / 300000) × 12

= 1/3 × 12

= 4cm

The distance is 4cm.

Learn more about map on:

brainly.com/question/1425367

#SPJ1

complete the recursive formula of the arithmetic sequence calculator -5,-25,-45,-65

Answers

The recursive formula of the arithmetic sequence calculator -5, -25, -45, and -65 is an = -20n + 15

The arithmetic sequence is

-5,-25,-45,-65

The initial term = -5

The common difference = The second term - The first term

= -25 - (-5)

= -25 + 5

= -20

The nth term of the arithmetic sequence is

an = a+(n- 1)d

When an is the nth term

a is the initial term

d is the common difference

Substitute the values in the equation

an = -5 +(n-1)( -20)

Apply the distributive property

an = -5 -20n + 20

an = -20n + 15

Hence, the recursive formula of the arithmetic sequence calculator -5,-25,-45,-65 is an = -20n + 15

Learn more about arithmetic sequence here

brainly.com/question/12108818

#SPJ9

What is the equation of the line that passes through the point (-1,5) and has a slope of -3

Answers

[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{5})\hspace{10em} \stackrel{slope}{m} ~=~ - 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{- 3}(x-\stackrel{x_1}{(-1)}) \implies y -5= -3 (x +1) \\\\\\ y-5=-3x-3\implies {\Large \begin{array}{llll} y=-3x+2 \end{array}}[/tex]

APProximate the following numbers to The nereast thousand.
1• 6203 ​

Answers

Answer:

the answer should be 6000

HELP!!!!!PLEASE!! ASAPPP

Answers

By calculating the percentage of earnings, we find out that Gary earns more money in one week as compared to Tara. Gary earns $900 and Tara earns $705 in one week. Therefore, the last option is correct.

It is given to us that -

Gary and Tara work as tutors at two different test prep companies

In a week, Gary earns 45% of the $2000 collected from the pupils

In the same week, Tara earns 20% of the $3,525 collected from the pupils

We have to find out who earns more money in a week.

We know that, in a week, Gary earns 45% of the $2000 collected from the pupils. This implies earning of Gary in a week

= 45% of 2000

= $900

Similarly, we know that, in the same week, Tara earns 20% of the $3,525 collected from the pupils. This implies earning of Tara in  the same week

= 20% of 3,525

= $705

Thus, by calculating the percentage of earnings, we can see that Gary earns more money in one week. Gary earns $900 and Tara earns $705 in one week. Therefore, the last option is correct.

To learn more about percentage in mathematics visit https://brainly.com/question/24120406

#SPJ1

2 ( X + 9 ) - 15 = -3

Answers

Answer:

x = -2

Step-by-step explanation:

2(x + 9) - 15 = -3  Distributive property

2(x) + 2(9) -15 = -3

2x +18 - 15 = -3  Combine like terms

3x + 3 = -3   Subtract 3 from both sides

3x = -6  Divide both sides by 3

x = -2

x=-3
The other person did all the steps correctly, they just accidentally wrote 3x instead of 2x in one of the steps

Points located on a function include: (3, 6), (-5, 7), (13, 1), and (7, 14). Which point cannot be included in the function?
A (14, 5)
B (5, 6)
C (7, 2)
D (8, 0)

Answers

The point cannot be included in the function is (7, 2). Therefore, option C is the correct answer.

The given coordinate points are (3, 6), (-5, 7), (13, 1), and (7, 14).

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

A) (14, 5)

Along with the given points (3, 6), (-5, 7), (13, 1), and (7, 14), the point (14, 5) is included in the function.

It is a function as every input has a unique output.

B) (5, 6)

Along with the given points (3, 6), (-5, 7), (13, 1), and (7, 14), the point (5, 6) is included in the function.

It is a function as every input has a unique output.

C) (7, 2)

Along with the given points (3, 6), (-5, 7), (13, 1), and (7, 14), the point (7, 2) is not included in the function.

Since the element 7 corresponds to two different images i.e., 14 and 2.

D) (8, 0)

Along with the given points (3, 6), (-5, 7), (13, 1), and (7, 14), the point (8, 0) is included in the function.

It is a function as every input has a unique output.

The point cannot be included in the function is (7, 2). Therefore, option C is the correct answer.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ1

Express this equation:

Answers

Answer:

(14x +49)^2

Step-by-step explanation:

PLEASE GIVE BRAINLIEST THANK YOU!!!

emma estimated the
first digit in the quotient of 2,183 ÷ 42 as 4. She adjusted the quotient to 3. What did she do wrong? Explain how Emma can avoid her mistake.

Answers

Quotient is 51.97 by dividing 2,183 by 42. A quotient is the amount that results from dividing two numbers.

How to divide a number ?

One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The additional operations are multiplication, addition, and subtraction.

Multiply the first fraction by the reciprocal of the second to divide rational expressions. We factor everything and search for common factors after rewriting the division as multiplication of the first statement by the reciprocal of the second. Separate logical expressions.

The number 2183 is called the numerator or dividend, and the number 42 is called the denominator or divisor.

The quotient of 2183 and 42, the ratio of 2183 and 42, as well as the fraction of 2183 and 42 all mean (almost) the same:

2183 divided by 42, often written as 2183/42.

2183/42 = 51.97

The answer that is quotient is 51.97

To learn more about Division refer :

https://brainly.com/question/25289437

#SPJ1

The mistake she done is that the acutal quotient is 51.97.

How to divide a number ?One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The additional operations are multiplication, addition, and subtraction.Multiply the first fraction by the reciprocal of the second to divide rational expressions. We factor everything and search for common factors after rewriting the division as multiplication of the first statement by the reciprocal of the second. Separate logical expressions.

The number 2183 is called the numerator or dividend, and the number 42 is called the denominator or divisor.

The quotient of 2183 and 42, the ratio of 2183 and 42, as well as the fraction of 2183 and 42 all mean (almost) the same:

2183 divided by 42, often written as 2183/42.

2183/42 = 51.97

The answer that is quotient is 51.97

To learn more about Division refer :

brainly.com/question/25289437

#SPJ1

in september 2011, gallup surveyed 1,004 american adults and asked them whether they blamed barack obama a great deal, a moderate amount, not much, or not at all for u.s. economic problems. the results showed that 53% of respondents blamed barack obama a great deal or a moderate amount. using these data, we calculated a 99% confidence interval of (0.489, 0.571) for the proportion of all american adults who blame barack obama a great deal or a moderate amount. does the confidence interval indicate that a majority of all american adults blame barack obama a great deal or a moderate amount for u.s. economic problems?

Answers

The 99% confidence interval indicate that a majority of all american adults blame barack obama a great deal or a moderate amount for u.s. economic problems is (0.571, 0.489).

In the given question we have to find the confidence interval indicate that a majority of all american adults blame barack obama a great deal or a moderate amount for u.s. economic problems.

Gallup surveyed 1,004 american adults.

So n=1004

The results showed that 53% of respondents blamed barack obama a great deal or a moderate amount.

So p=53% = 0.53

The 99% confidence  interval for the proportion of all american adults who blame barack obama a great deal or a moderate amount for u.s. economic problems is

CI=p±z× √{p(1−p)}/n

Now finding the value of z for 99% confidence interval.

The z critical value at 99% confidence interval is 2.575.

Now putting the value

CI=0.53±2.575× √{0.53(1−0.53)}/1004

CI=0.53±2.575× √(0.53*0.47)/1004

CI=0.53±2.575× √0.2491/1004

CI=0.53±2.575× √0.00025

CI=0.53±2.575× 0.0158

CI=0.53±0.0407

CI=(0.53+0.0407, 0.53−0.0407)

CI=(0.571, 0.489)

Hence, the 99% confidence interval indicate that a majority of all american adults blame barack obama a great deal or a moderate amount for u.s. economic problems is (0.571, 0.489).

To learn more about confidence interval link is here

brainly.com/question/27335001

#SPJ4

70% of the class has a pet.
There are 30 kids in the class.
How many kids have a pet?

Answers

Answer: 21

Step-by-step explanation:

70x30/100

= 21

Hope this helps! :)

Which of the following is true of prime numbers?
A.
A prime number may be an even number or an odd number.
B.
A prime number is always an even number.
C.
A prime number is always an odd number.
D.
A composite number may be an even number or an odd number.

Answers

Answer:

C

Step-by-step explanation:

Prime numbers are only divisible by themselves and 1  ....all even numbers are divisible by '2' ,  so all primes are odd numbers

7.34 the gpas of all students enrolled at a large university have an approximate normal distribution with a mean of 3.02 and a standard deviation of .29. find the probability that the mean gpa of a random sample of 20 students selected from this university is

Answers

The probability that the mean GPA of a random sample of 20 students selected from this university  is 3.10 or higher is 10.93%

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score methods.

We know that, in a set with mean and standard deviation , the z-score of a measure X is given by:

                              Z = X - μ/σ

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem:

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean  and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean  and standard deviation .

For a Skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

μ = 3.02 , σ = 0.29 , n = 20 and s = 0.29/√ 20 = 0.0648

Find the probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher.

This is 1 subtracted by the p- value of Z when X = 3.10. So

By the Central Limit Theorem:

             Z = X - μ / s

       ⇒  Z = 3.1 - 3.02/ 0.0648

       ⇒ Z = 1.23

The Z = 1.23 has a P- value of 0.8907

∴ 1 - 0.8907 = 0.1093

Now, for  getting the percentage,

0.1093 × 100% = 10.93%

10.93% probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher.

Learn more about Random sample:

https://brainly.com/question/12719656

#SPJ4

Given: (GH) is a midsegment of ∆DEF. Show all work.
a. Find the value of x and y.
b. What is the length of DF? ​

Answers

Applying the triangle midsegment theorem:

a. x = 17; y = 2

b. Length of DF = 20 units.

What is the Triangle Midsegment Theorem?

The triangle midsegment theorem states that the midsegment of a triangle is always parallel to the third side, and has a length that is half the length of the third side of the triangle.

GH is said to be the midsegment of triangle DEF, therefore:

a. GH = 1/2(EF) [triangle midsegment theorem]

Substitute

x - 3 = 1/2(28)

2(x - 3) = 28

2x - 6 = 28

2x = 28 + 6

2x = 34

2x/2 = 34/2

x = 17

HF = x - 7

Plug in the value of x

HF = 17 - 7

HF = 10

HF = DH = 10

y + 8 = DH

y + 8 = 10

y = 10 - 8

y = 2

b. Length of DF = HF + DH

Length of DF = 10 + 10 = 20 units.

Learn more about triangle midsegment theorem on:

https://brainly.com/question/12234706

#SPJ1

Does the equation y+x=45 2y+2x=6 have No solutions or infinite solutions

Answers

The equation,  y + x = 45 and 2y + 2x = 6 has No Solution .

In the question ,

it is given that ,

the equations are y + x = 45 and 2y + 2x = 6 .

y = 45 - x

Substituting the value of y = 45 - x in the equation 2y + 2x = 6

we get ,

2(45 - x) + 2x = 6          ...by using associative property

Simplifying further ,

we get

90 - 2x + 2x = 6

90 = 6                   .....because   -2x+2x = 0

we know that 90 ≠ 6 ,

hence , the equations have No Solution .

Therefore , The equation,  y + x = 45 and 2y + 2x = 6 has No Solution .

Learn more about Solution Of Equation here

https://brainly.com/question/19149009

#SPJ1

A sports ball has a diameter of 10 cm. Find the volume of the ball.
cm.3
Round your answer to the nearest tenth if necessary.

Answers

Answer:

Step-by-step explanation:

take the radius which is 5 square it 5^2 and divide by 3 then round hope it helps

Answer: 8,33333333333333333

Step-by-step explanation: 5^2 =25 divided by 3 is 8,33333333333333333

Other Questions
Which deejay responded to the controversy over rock by playing white artists cover versions of black music?. Helllppp 30 points pleases Question 3Hint: see problem #3 on 3-6Rollie has a credit Card limit of $4,000. He made the following purchases: $425.36, $358.33,$377.11, and $90.20.What is the total amount of purchases?$What is Rollie's available credit?$LAN Clash of Cultures: Indigenous America and the ConquistadoresIn the context of this passage, how do we evaluate a leader's legacy? Consider this question in regards to both Cortes and Montezuma. What were their faults and what were their achievements? How we see them today if the former had lost and the latter had won? Cite evidence from this text, your own experience, and other literature, art, or history in your answer. __________ theory assumes that people are motivated to work toward a goal when they want to achieve the outcome and also think they have the ability and means to achieve it. Part A: The area of a square is (16x2 8x + 1) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)Part B: The area of a rectangle is (81x2 4y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points) Evolutionary theories of motivation suggest that motives result in behaviors that?. research evidence suggests that which of the following bases of power is the most effective in terms of its impact upon follower commitment, motivation, performance, satisfaction, and group effectiveness? describe the steps for maintaining a personal health record? write a 100-word paragraph describing what the edict of Milan is and what it did for the Christians. a firm has a debt-to-equity ratio of .5. its cost of equity is 22%, and its cost of debt is 16%. if the corporate tax rate is .40, what would its cost of equity be if the debt-to-equity ratio were 0? A combination padlock in which a sequence of numbers is used as the "key" to openthe lock. Suppose a combination padlock has 10 digits to choose from for each of thefour sections of the lock.Does the "key" for a combination padlock involve permutations or combinations?A. PermutationB. Combination Hey can someone please help me out and explain the problem? Look below. Thank you! Ill give brainly 9. If XYZ LMN, what is the length of XZ? can someone help me? a nurse is preparing a presentation for a local community group of older adults about colon cancer. what would the nurse include as the primary characteristic associated with this disorder? a _____ attempts to gain access to a system for malicious purposes without the owner's consent. For a ride on a rental scooter, Boris paid a $2 fee to start the scooter plus 12 cents per minute of the ride. The total bill for Boris's ride was $10.52 . For how many minutes did Boris ride the scooter? which immunization protocol would the nurse follow when administering a hepatitis b vaccine to an infant whose mother is diagnosed hbsag postitive during pregnancy the greenwood corporation had a net decrease in cash of $10,000 for the current year. net cash used in investing activities was $52,000 and net cash used in financing activities was $38,000. what amount of cash was provided (used) in operating activities?