The table below shows the number of correct answers that students gave on a recent 5-question quiz. Which of the following statements is true? Number Correct 1 2 3 4 5 3 46 9 8 Frequency​

Answers

Answer 1

The true statement about the number of correct answers is that the: A. median = mode.

How to calculate the mean?

Mathematically, the mean for the number of correct answers can be calculated by using the following formula:

Mean = [F(x)]/n

Total frequency, n = 3 + 4 + 6 + 9 + 8 = 30.

F(x) = [(1 × 3) + (2 × 4) + (3 × 6) + (4 × 9) + (5 × 8)] = 105.

Mean = 105/30

Mean = 3.5.

For the median, we have:

The median for the number of correct answers is the average of the 15th and 16th number:

Median = (4 + 4)/2

Median = 8/2

Median = 4.

For the mode, we have:

The mode for the number of correct answers is the answer with the highest frequency, which is 4 with a frequency of 9.

Therefore, the true statement about the number of correct answers is that the median is equal to mode.

Read more on mean here: https://brainly.com/question/9550536

#SPJ1

Complete Question:

The table below shows the number of correct answers that students gave on a recent -question quiz. Which of the following statements is true?

A. median = mode

B. mode > median

C. mode < mean

D. mean > median Reset Selection

The Table Below Shows The Number Of Correct Answers That Students Gave On A Recent 5-question Quiz. Which

Related Questions

-76 * a number minus 61 is equal to -89 less than the number

Answers

Answer: -211/76

Step-by-step explanation:

to solve this word problem equation, we need to first convert the words to numbers and variables we can solve for:

we can replace "a number" for a variable such as x

this gives:

-76·x-61=x+89

now all you have to do is solve the equation and you're done!

The diameter of a circle is 48 meters. What is the angle measure of an arc 17​ meters long?

simplest form IXL

Answers

If you are referring to the central angle, it would be 41 degrees.

How many centimeters in 3.7 kilometers? ​

Answers

Answer:

370,000 centimeters

Step-by-step explanation:

1. There are 1000 meters in a kilometer.

2. 3.7 kilometers x 1000 = 3,700 meters

3. There are 100 centimeters in a meter

4. 3,700 x 100 = 370,000 centimeters

MATH: FINDING HALF LIFE PT 1

Answers

Answer:

  15.4 years

Step-by-step explanation:

An investment is doubled when it is twice its initial value. The equation can be solved for the value of t that makes this true.

Setup

In the exponential equation for investment value, the factor y₀ is the initial value of the investment. We want to find t when y = 2y₀.

  2y₀ = y₀·e^(0.045t)

Solution

Dividing by y₀ gives ...

  2 = e^(0.045t)

Taking natural logarithms, we have ...

  ln(2) = 0.045t

Dividing by the coefficient of t gives its value:

  t = ln(2)/0.045 ≈ 15.4

The investment will be doubled after 15.4 years.

__

Additional comment

The continuously compounded interest rate for this investment is 4.5%. The doubling time is 0.693 divided by this: 0.693/0.045 ≈ 15.4. This relationship holds for any sort of continuous compounding.

In the diagram, line I and line m are parallel lines cut by transversal n.
b
a
n
m

Answers

The measure of both the interior angles are 70 and 110 degree.

What are Parallel Lines ?

Lines they never intersect with each other and the distance between them always remains same are called parallel lines.

It is given that

Line l and m are parallel lines and are intersected by a transversal ,n

Interior angles of the same side are (2x−8) degree and (3x−7) degree

Applying the property of interior angles of parallel lines

2x -8 + 3x - 7 = 180 degree

5x -15 = 180

5x = 195

x = 39 degree

Both the angles have measure of

2 * 39 - 8 = 70 degree

3 * 39 -7 = 110 degree

Therefore the measure of both the angles are 70 and 110 degree.

The complete question is

Two parallel lines l and m are cut by a transversal  n . If the interior angles of the same side of n are (2x−8) degree and (3x−7) degree  , find the measure of each of these angles.

To know more about Parallel Lines

https://brainly.com/question/16701300

#SPJ1

Renee is correct. The equations are the same when the line goes through the origin. y = mx + b is a more general form of y = mx.

If the line goes through the origin, then b = 0, so y = mx + b is y = mx + 0 or y = mx.

Answers

The equations are the same when the line goes through the origin. y = mx + b is a more general form of y = mx. Therefore, Renee is correct.

The given statement is "The equations are the same when the line goes through the origin. y = mx + b is a more general form of y = mx".

What is the origin?

The point where the reference axes in a coordinate system meet. The values of coordinates are normally defined as zero.

The equation of the line is y = mx + b.

If the line goes through the origin, then b = 0, so y = mx + b is y = mx + 0 or y = mx.

The equations are the same when the line goes through the origin. y = mx + b is a more general form of y = mx. Therefore, Renee is correct.

To learn more about the equation of the line visit:

https://brainly.com/question/21511618.

#SPJ1

What is √200in simplest form?

Answers

Answer:

10√2

Step-by-step explanation:

The square root of 200 in its simplest radical form is 10√2.

If we know the prime factorization of a number, we can write the radical form of the square root of that number. As a result, the prime factorization of 200 is 2 × 2 × 2 × 5 × 5.

As a result, the square root of 200 in the simplest radical form should be 10√2.

Which equation is a function of x? x = 5 x = y squared 9 x squared = y x squared = y squared 16

Answers

The equation which is a function of x is x²=y.

Given an equation that is a function of x.

A function may be a relation between a collection of inputs and a collection of permissible outputs with the property that every input is said to precisely one output.

If we input a value of x then we get the output f(x) = y, which is the function of x.

We are given four options out of which we are to pick the one which may be a function of 'x'.

The first option is x=5 in which no term of y is included and its a constant. So, option 1 is not correct.

The second option is x=y²+9 in which y contains a power 2. So, option 2 is not correct.

The third option is x²=y in which y contains power 1. So, option 3 is correct.

The fourth option is x²=y²+16 in which y contains a power 2. So, option 3 is not correct.

Hence, the equation which is a function of x is x²=y.

Learn about functions from here brainly.com/question/16614909

#SPJ4

The two lines below are parallel. If the slope of the red line is 3, what is the
slope of the green line?

Answers

The slopes of parallel lines are always equal. That means the slope of the green line is also 3.
Hope this helps, please mark brainliest if possible :)

14. Tasha is counting votes from a school election. There were 3 candidates running for treasurer, and students either voted for 1 of those 3 or they didn't vote at all. If there are 420 students in the school and half of them voted for Marcus, one- third of them voted for Mary, and one-seventh voted for Edward, how many students did not vote? (A) 10 (B) 20 (C) 42 (D) 105​

Answers

Answer:

A) 10

Step-by-step explanation:

Votes for Marcus: 420/2 = 210 votes

Votes for Mary: 420/3 = 140 votes

Votes for Edward: 420/7 = 60 votes

Total number of votes: 210+140+60 = 410 votes

people who didn't vote: 420-410 = 10 people

scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 13. use empirical rule to determine the following:
a) what percentage of people has an IQ score between 61 and 139?
b) what percentage of people has IQ score less than 87 or greater than 113?
c) what percentage of people has an IQ score greater than 113?

Answers

Using the Empirical Rule, the percentages are given as follows:

a) 99.7%.

b) 32%.

c) 16%.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of  the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Item a:

61 and 139 is within 3 standard deviations of the mean, hence the percentage is of 99.7%.

Item b:

87 and 113 is within one standard deviation of the mean, hence 68% of the data is within this interval and 100 - 68 = 32% of the data is outside this interval.

Item c:

Considering that the normal distribution is symmetric, and item b, this percentage is of 32%/2 = 16%.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

#SPJ1

Graph the function g.
f(x) = -2(x-4)² +4
g(x) = f(x) - 1
O

Answers

Answer:

19

Step-by-step explanation:

fx=16+4

fx=20

gx= 20-1

gx=19

19

I NEED THE ANWERS QUICK PLS THANK YOU

Answers

Answer:

76 sqcm.

Step-by-step explanation:

2(5 x 2) + 2(5 x 4) + 2(4 x 2) = 2(10) + 2(20) + 2(8)
                                             =  20 + 40 + 16
                                             =  76

Trigonometry Maths Question
80 points up for grabs!
Will mark brainliest to whoever answers

Answers

Answer:

x = 35.537677791974°

y = 63.434948822922°

Step-by-step explanation:

let x be the measure of the angle of elevation of the sun.

tan(x) = 10/14

Then

x = tan⁻¹ (10÷14) = 35.537677791974°

………………………………………………

let y be the measure of the angle of elevation of the sun

where the shadow decreases to 5m.

tan(y) = 10/5 = 2

Then

y = tan⁻¹ (2) = 63.434948822922°

Answer:

a) 35.54°

b) 63.43°

Given following:

length of pole: 10 meterits shadow: 14 meter

Determining, the shadow is adjacent side and length of the pole is the opposite side. Hence, use the tan rule. Let the angle be x.

(a)

[tex]\sf tan(x) = \dfrac{opposite}{adjacent}[/tex]

[tex]\sf tan(x) = \dfrac{10}{14}[/tex]

[tex]\sf x = tan^{-1}(\dfrac{10}{14} )[/tex]

[tex]\sf x = 35.54^{\circ \:} \quad (rounded \ to \ nearest \ hundredth )[/tex]

(b) If the shadow decreases to 5 meter.

[tex]\sf tan(x) = \dfrac{opposite}{adjacent}[/tex]

[tex]\sf tan(x) = \dfrac{10}{5}[/tex]

[tex]\sf x = tan^{-1} (\dfrac{10}{5})[/tex]

[tex]\sf x = 63.43 ^\circ \quad (rounded \ to \ nearest \ hundredth)[/tex]

5. Kal Tire installs automobile tires on a first-come first-served basis. A random sample of 50 customers experienced an average wait time of 93.7 minutes. Assume that the standard deviation of total wait time for all customers is 20.6 minutes. Determine the margin of error for a 95% confidence interval for this sample.

Answers

5.7099 is the margin of error.

What is standard deviation ?

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean.

Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

According to the question,

The standard sampling error of the sample mean is σₓ ,

The sampling distribution is: N (u,σₓ/n)

Therefore,

By using the standard deviation formula:

σₓ = √∑(xi -μ)/N

Where,

∑= population standard deviation

N= the size of the population

xi= each value from the population

μ =the population mean

So ,

σₓ = [tex]\frac{20.6}{\sqrt{50} }[/tex] = 2.913

Since, a = 1- 95% = 0.05

therefore [tex]Z\frac{a}{2}[/tex] = (1-0.005 x 2) = 1.959964

Here, the margin of error for a 95% confidence interval for this sample is given by:

[tex]Z\frac{a}{2}[/tex] * σₓ = 1.959964 x 2.913    

           = 5.7099

5.7099 is the margin of error for a 95% confidence interval for this sample.

Learn more about standard deviation here:

https://brainly.com/question/13905583

#SPJ1

If f(x) = x³ - 2, find f(3).

Answers

[tex]f(x) = x {}^{3} - 2 \\ f(3) = 3 {}^{3} - 2 = 27 - 2 = 25[/tex]

[tex]f(3) = 25[/tex]

So if f(x) = x^3 - 2 you would insert three in the function

So instead of x it’s 3.

3^3 - 2 = 9 -2
= 7

So the answer of the function is 7.

A sub sandwich shop offers 22 toppings to choose from. How many ways could a person choose a 4-topping sandwich?

a)26
b)88
c)7,315
d) 175,500

pleaseee help, will mark branliest

Answers

There are 7,315 different combinations, thus, the correct option is c

How many combinations are there?

If we have a set of N elements, the number of different combinations of K elements (such that K ≤ N) of these N elements that we can make is:

[tex]C(N, K) = \frac{N!}{(N - K)!K!}[/tex]

In this case we have K = 4 and N = 22, replacing that, we get:

[tex]C(22, 4) = \frac{22!}{(22 - 4)!*4!} = \frac{22*21*20*19}{4*3*2*1} = 7,315[/tex]

So there are 7,315 different combinations, thus, the correct option is c.

If you want to learn more about combinations:

https://brainly.com/question/11732255

#SPJ1

Use the following image to solve the problem

Answers

Answer:

The distance is 17.

Step-by-step explanation:

the step is provided in the image....

I hope it was helpful

evaluate (-1 - 3²) - 4³/2

Answers

Answer:

-42

Step-by-step explanation:

You have to To subtract the fractions, then find the Least common denominator (LCD) and then combine.

pls brainliest Hope this helps have a nice day :>

[tex]\boldsymbol{(-1-3^{2})-\dfrac{4^{3} }{2} }[/tex]

Calculates 3 to the power of 2 and gets 9.

[tex]\boldsymbol{-1-9-\dfrac{4^{3} }{2} }[/tex]

Subtract 9 from −1 to get −10.

[tex]\boldsymbol{-10-\dfrac{4^{3} }{2} }[/tex]

Calculates 4 to the power of 3 and gets 64.

[tex]\boldsymbol{-10-\dfrac{64}{2} }[/tex]

Divide 64 by 2 to get 32.

[tex]\bf{-10-32 }[/tex]

Subtract 32 from −10 to get −42.

[tex]\bf{-42 \ \ \to \ \ \ Answer}[/tex]

{ Pisces04 }

(3-0/4a)-(10-0.8a). Solve for a

Answers

An equation is formed of two equal expressions. The value of 'a' in the given equation is 6.452.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given equation can be solved for 'a' as shown below,

[tex]\dfrac{(3-0)}{4a} = (10-0.8a)\\\\\dfrac{3}{4a} = (10-0.8a)\\\\[/tex]

0.75a = 10 - 0.8a

0.75a + 0.8a = 10

1.55a = 10

a = 6.452

Hence, the value of 'a' in the given equation is 6.452.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ1

Pls help
Volume round to tenth

Answers

The volume of the cone to nearest tenth is 247. 12 cm ^3

How to determine the volume

Note that the shape is a cone

Volume for a cone =

[tex]\pi \: { {r}^{2} \frac{h}{3} } [/tex]

Given that radius = 5.3cm

height = 8.4cm

Substitute into the formula, we have

Volume = 3.142 × 5.3 × 5.3 × (8.4/3)

Volume = 3. 142× 28.09 × 2.8

Volume = 247. 12 cm ^3

Thus, the volume of the cone to nearest tenth is 247. 12 cm ^3

Learn more about volume of a cone here:

https://brainly.com/question/1082469

#SPJ1

there are 32 students in a class and 20 of them own at least one pet
what fraction of class own pets?
give your answer in its simplest form.

Answers

Answer:

there 32 students and 20 have pets so you take 20 over 30 divide by 2 to get 10/16 then divide by 2 to get 5/8and that is the answer

Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 10< x <22

Answers

Using it's concept, the average rate of change of the function over the interval 10 < x < 22 is given by:

[tex]r = \frac{f(22) - f(10)}{12}[/tex]

What is the average rate of change of a function over an interval?

It is given by the change in the output divided by the change in input.

Over the interval 10 < x < 22, the outputs are f(10) and f(22), hence the rate of change is given by:

[tex]r = \frac{f(22) - f(10)}{12}[/tex]

More can be learned about the average rate of change of a function at brainly.com/question/24313700

#SPJ1

a2 − 6) and (a2 + 4) are the factors of

Answers

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The polynomial whose factors are (a²-6) and (a²+4) is a⁴ - 2a² - 24.

What is a polynomial?

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Example: x²+3x+5 is a polynomial.

The polynomial whose factors are (a²-6) and (a²+4) is,

P(x) =  (a²-6)(a²+4)

      = a⁴ + 4a² - 6a² - 24

      = a⁴ - 2a² - 24

Hence, The polynomial whose factors are (a²-6) and (a²+4) is a⁴ - 2a² - 24.

Learn more about Polynomials:

https://brainly.com/question/27343162

#SPJ1

What is the length of the track, in miles, around turn A? Round your answer to three decimal places.

Answers

Answer:

?

Step-by-step explanation:

Please explain-WHAT TRACKS?

Answer:

5.275

Step-by-step explanation:

Got the answer from Emma on Gauth Math

Step 6: Patterns can provide a clear understanding of mathematical relationships. This can be seen very clearly in the form of multiplication tables. 3 x 2; 3 x 3; 3 x 4 are clearly examples of the relationship pattern found in multiplication. Provide two more examples of relationship patterns found in mathematics. Describe the pattern in each case. (NB: Do not use the multiplication tables). (8) Step 6 : Patterns can provide a clear understanding of mathematical relationships . This can be seen very clearly in the form of multiplication tables . 3 x 2 ; 3 x 3 ; 3 x 4 are clearly examples of the relationship pattern found in multiplication . Provide two more examples of relationship patterns found in mathematics . Describe the pattern in each case . ( NB : Do not use the multiplication tables ) . ( 8 )​

Answers

Two more examples of relationship patterns found in mathematics are Geometric sequences and Fibonacci numbers.

What are mathematical patterns?

Mathematical patterns are a sequence of repeated arrangements of numbers, shapes, colors, letters, etc.

Mathematical patterns are usually abstract.

What is a geometric sequence?

A geometric sequence is a sequence of non-zero numbers.  The first number is the product of multiplying a previous number by a fixed, non-zero number, called the common ratio.

A Geometric sequence may look like: 2, 4, 8, 16, 32, 64, 128, ..., where the common ratio is 2.

What is a Fibonacci sequence?

A Fibonacci number starts with a zero, followed by a one, then by another one, and then by a series of steadily increasing numbers.

The rule of the Fibonacci sequence is that each number is equal to the sum of the preceding two numbers, for example, 0, 1, 1, 2, 3, 5, 8, 13.

Learn more about mathematical patterns at https://brainly.com/question/854376

#SPJ1

Solve: −(23a−13)+53a=−4

Answers

Answer:

a = -17/30

Step-by-step explanation:

So the first step is to distribute the negative sign, if that's a bit confusing think of the negative sign as a -1 instead of just a negative sign, and then think of distributing that negative 1 to the 23a and -13.

Original Equation:

-(23a - 13) + 53a

Distribute negative sign

-23a + 13 + 53a

Group like terms:

(-23a + 53a) + 13

Simplify

30a + 13 = -4

Subtract 13 from both sides

30a = -17

Divide both sides by 30

a = -17/30

State. Probability sampling vs. non probability sampling​

Answers

Probability sampling simply illustrates a scenario where the subjects of the population have an equal opportunity.

What is probability sampling?

Probability simply means the likelihood of the occurence of an event.

In this case, in probability sampling, the subjects of the population have an equal opportunity.

In non-sampling, an equal opportunity isn't given.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

Solve the inequality.

Answers

[tex]5x - 7 \leqslant 13 \\ add \: 7 \: on \: both \: sides \\ 5x - 7 + 7 \leqslant 13 + 7 \\ 5x \leqslant 20 \\ divide \: both \: sides \: by \: 5 \\ \frac{5x}{5} \leqslant \frac{20}{5} \\ x \leqslant 4[/tex]

Interval: (-infinity,4]

31) Alana ordered jeans ($28) and a sweater ($35) from a catalog. The sales tax is 8%. The shipping charges came
to $6.58. What was the total amount she was charged?
O a.) $74.62
Ob.) $77.62
Oc.) $75.62

Answers

Answer:

a) $74.62

Step-by-step explanation:

Cost of both clothes = 28+35 = $63

Tax = 0.08*63 = $5.04

Shipping: $6.54

Add: 63+5.04+6.58 = 74.62

Other Questions
Which two major parts of the Earth system does this photo most clearlyshow?A. BiosphereM B. AtmosphereC. CryosphereD. Geosphere Zahra is writing an essay about the most dangerous game. Which excerpt from the story best supports her idea that rainsford is a rational individual who does not panic under pressure?. Lee y escoge la opcin con el pas correcto para completar la frase. Read and choose the correct country that completes the sentence.Los grupos, como la tribu Kayap en ______, siempre han respetado y honrado el medio ambiente y son conocidos como los guerreros de la selva amaznica.A. BrasilB. IslandiaC. AustraliaD. Portugal Find n in this equation: 308P(n,2)=P(16,4) A cook needs 7 cups of vegetable stock for a soup recipe. How much is this in pints? Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer. 08 Explanation Check fl oz qt X values: One... gal pt S .? 2022 McGraw HilllLS ALL Denise has been retired for 12 years and is 72 years old. She is having a conversation with her daughter, discussing plans to do different things with each of her grandchildren during the summer vacation. She loves spending time with them and values her friendship with them. What style of grandparenting characterizes the type of grandparent Denise must be Determine the point of intersection of the lines x+y=4 and 2x+3y=12 algebraically How to compute the total economic profit or loss in the given table? Select ALL the correct answers.Read the text below."The entire philosophy of those who support this legislation is impregnated [filled up] with the basic idea that white southerners are not just second-class citizens, but apparently, should have no rights whatsoever."The person who made this statement argued that the bill took away the rights of White southerners and bestowed them on Black southerners.Based on your understanding of the era and the realignment of the parties, which politicians were most likely associated with these kinds of statements?1.Richard Daley, who was the Democratic mayor of Chicago in 19682.Ross Robert Barnett, the Governor of Mississippi who was a prominent member of the Dixiecrats3.Hubert Humphrey of Minnesota, who later became the 1968 Democratic nominee for president4.George Wallace, the Democratic governor of Alabama who approved of segregation Algebra 2 - Composition Functions#4-6: let f(x)= 5x^3-2x and g(x)= 3x^3. Perform the indicated operation. You know the area (A = 300 ft^2) and the width (w = 4 ft), but not the length. Rewrite the formula by dividing both sides by the width.length = Answer If a follicle does not reach maturity during one ovarian cycle, it can finish maturing during the next cycle. True False CAN SOMEONE PLEASE HELP m4A=33, a=6, b=11. Find m&B to the nearest degree. Are the expressions 0.5(3x 5) and 1.5x 2.5 equivalent? explain why or why not. What is the formula for Water? What is small business development Whose duty is it to ensure that policies are created to guide employees of an alcohol establishment in the service of alcoholic beverages?. Which of the following examples supports the idea that Platt was unwise to leave Eldret's plantation?O Platt must have a pass to leave the plantation.Platt's friends are waiting for him to visit.If Platt leaves, Eldret cannot protect him from Tibeats.Eldret has promised Platt he can leave. ????????????????????????? When O2 binds to heme in hemoglobin, the ____ ion is drawn into the plane of the ____ causing a conformational change that is transmitted to adjacent subunits enhancing the ____ for additional O2 binding.