In a certain​ survey, 521 people chose to respond to this​question: "Should passwords be replaced with biometric security​(fingerprints, etc)?" Among the​ respondents, ​55% said​ "yes." We want to test the claim that more than half of the population believes that passwords should be replaced with biometric security. Complete parts​ (a) through​ (d) below. a. Are any of the three requirements violated? Can a test about a population proportion using the normal approximation method be used? O A. One of the conditions for a binomial distribution are not satisfied, so a test about a population proportion using the normal approximating method cannot be used. O B. The conditions np 25 and nq 25 are not satisfied, so a test about a population proportion using the normal approximation method cannot be used. OC. All of the conditions for testing a claim about a population proportion using the normal approximation method are satisfied, so the method can be used. OD. The sample observations are not a random sample, so a test about a population proportion using the normal approximating method cannot be used. b. It was stated that we can easily remember how to interpret P-values with this: "If the P is low, the null must go "What does this mean? O A. This statement means that if the P-value is not very low, the null hypothesis should be rejected. OB. This statement means that if the P-value is very low, the alternative hypothesis should be rejected. O C. This statement means that if the P-value is very low, the null hypothesis should be rejected. OD. This statement means that if the P-value is very low, the null hypothesis should be accepted. c. Another memory trick commonly used is this: "If the P is high, the null will fly." Given that a hypothesis test never results in a conclusion of proving or supporting a null hypothesis, how is this memory trick misleading? O A. This statement seems to suggest that with a high P-value, the null hypothesis has been proven or is supported, but this conclusion cannot be made. OB. This statement seems to suggest that with a high P-value, the alternative hypothesis has been proven or is supported, but this conclusion cannot be made. OC. This statement seems to suggest that with a low P-value, the null hypothesis has been proven or is supported, but this conclusion cannot be made. OD. This statement seems to suggest that with a high P-value, the alternative hypothesis has been rejected, but this conclusion cannot be made. d. Common significance levels are 0.01 and 0.05. Why would it be unwise to use a significance level with a number like 0.0483? O A. Choosing a more specific significance level will make it more difficult to reject the null hypothesis. O B. Significance levels must always end in a 1 or a 5. OC. Choosing this specific of a significance level could give the impression that the significance level was chosen specifically to reach a desired conclusion. OD. A significance level with more than 2 decimal places has no meaning.

Answers

Answer 1

All three requirements for testing a claim about a population proportion using the normal approximation method are satisfied in this case, so the method can be used. The correct option is (C).

To determine if we can use a test about a population proportion using the normal approximation method, we need to check if any of the three requirements are violated:

1. Random Sample:

The question states that 521 people chose to respond to the survey. If these individuals were randomly selected from the population, then this requirement is satisfied.

2. Independence:

We assume that each respondent's decision to choose "yes" or "no" is independent of other respondents. As long as the survey was conducted in a way that ensures independence, this requirement is satisfied.

3. Sample Size:

The conditions np ≥ 5 and nq ≥ 5 need to be satisfied, where n is the sample size, p is the proportion of interest ("yes" responses), and q is the complement of p ("no" responses). In this case, n = 521 and the proportion of "yes" responses is 55% or 0.55. Calculating np and nq, we get np = 521 * 0.55 = 286.05 and nq = 521 * 0.45 = 234.45. Both np and nq are greater than 5, satisfying this condition.

Therefore, all three requirements for testing a claim about a population proportion using the normal approximation method are satisfied, and we can proceed with the test.

The correct answer is option C: All of the conditions for testing a claim about a population proportion using the normal approximation method are satisfied, so the method can be used.

To know more about population proportion refer here:

https://brainly.com/question/32671742#

#SPJ11


Related Questions

what is 3/4 divided 1/2.​

Answers

Answer:

6/4 or 1 2/4

Step-by-step explanation:

hope this helps

Answer:

1.5

Step-by-step explanation:

3/4 ÷ 1/2

= 3/4 x 2

= 6/4

= 3/2

= 1.5

Triangle

Quadrilateral

Pentagon

Hexagon

Heptagon
1. ________________________

2.______________________

3. ______________________

4. ______________________

5. ______________________
sorry 32 points nalang meron ako​

Answers

Answer:

octagon  enneagon decagon hendeka

Step-by-step explanation:

help me with this plsss

Answers

i’m trying to get points ignore this, sorry i didn’t know how to help :(!

Find the total surface area.

Answers

Answer:

42.33+49.8

Step-by-step explanation:

add sides man i think

Answer:

Step-by-step explanation:

A little boy stands on a carousel and rotates AROUND 4 times. If the distance between the little boy and the center of the carousel is 6 feet, then how many feet did the little boy travel? (C = 2πr). Use 3.14 for pi. (Hint: he is going AROUND 4 times not just once). Only put in the number do not put in the unit of measure (ft). *

Answers

Answer:

150.72

Step-by-step explanation:

C = 2*pi * r

C = 2* 3.14 * 6

C = 37.68

1 revolution = 37.68

4 revolutions = 4 * 37.68

4 revolutions = 150.72

The expression 3/6 kids the weight of an object onto the moon in pounds in weight

Answers

29.7 IBS and you would get it by doing 178.2/ 6

I need help, I dont understand

Answers

Answer:

20,19,18

Step-by-step explanation:

because you have to go backwards

WILL MARK BRAINLIEST!!!

Answers

Answer:

a) 1224 in³

b) 3060 in³

Step-by-step explanation:

a) 15x12x17=3060, 3060/2.5=1224 cubic inches

b) 3060; 15x12x17

extra note:

Volume of rectangular prism formula:

V = l·w·h (length times width times height)

I assumed the jewelry in 2.5 cubic inches in volume so i hope its right

hope this helps  :)

If x= 35, then what is the measure of arc EF?

Answers

Arc EF would be 145. arc EFG would equal 180°, so if you do 180-35, you get 145.

Your crazy banker presents another investment opportunity for 2023, where you are told that for the first six months of the year you will have an APR of r_1 compounded monthly, and for the second half of the year the APR will be r_2 compounded daily. Assume that monthly interest compounds on the 28th day of each month, and daily interest compounds at 11:59PM.
1. The banker tells you that for the first six months of the year the effective continuous rate is a_1 = 6%, but they refuse to divulge the value of r_1 directly. You choose to invest $1000 on January 1, 2023, and decide to withdraw all funds from the account on June 30, 2023. What was the value of your account upon withdrawal?
2. The banker then informs you that for the last six months of the year the effective annual rate is c_2 = 10%. You decide that it would be nice to have exactly $4000 in this account at 5PM on December 15, 2023. What amount of money do you need to invest in this account on July 1, 2023, in order to accomplish this goal?

Answers

1. The value of your account upon withdrawal on June 30, 2023, was $1,031.49.

To calculate the value of the account upon withdrawal, we need to use the formula for compound interest. The future value (FV) of the account is given by:

FV = P * (1 + r_1/n)^(n*t)

Where P is the principal amount ($1000), r_1 is the monthly interest rate, n is the number of compounding periods per year (12 for monthly), and t is the time in years (6 months = 0.5 years).

Since the effective continuous rate a_1 is given as 6%, we can determine r_1 using the formula r_1 = ln(1 + a_1). Substituting the value of a_1 = 6% into the equation, we find r_1 = ln(1 + 0.06).

Now we can substitute the values of P, r_1, n, and t into the formula to calculate the future value FV. Plugging in these values, we find that the value of the account upon withdrawal is approximately $1,031.49.

2. To have exactly $4000 in the account on December 15, 2023, you need to invest approximately $3,857.02 on July 1, 2023.

We need to calculate the present value (PV) of the desired future value ($4000) to determine the amount of money to invest. The present value formula is:

PV = FV / (1 + r_2)^n

Where FV is the desired future value, r_2 is the daily interest rate, and n is the number of compounding periods.

Since the effective annual rate c_2 is given as 10%, we can determine r_2 using the formula r_2 = (1 + c_2)^(1/365) - 1. Substituting the value of c_2 = 10% into the equation, we find r_2 = (1 + 0.1)^(1/365) - 1.

Now we can substitute the values of FV, r_2, and n into the present value formula to calculate the required investment. Plugging in these values, we find that you need to invest approximately $3,857.02 on July 1, 2023.

To know more about withdrawal refer here:

https://brainly.com/question/30481846

#SPJ11

A video of Mr. Satyam’s class discussing mathematical strategies won a STEM award. 8% of the videos won awards. There were 24 awards. What is the total number of videos?

Answers

Answer:

There were 300 videos.

Step-by-step explanation:

Since there are 24 videos that got awards, and that's only 8% of the total videos, you put those together. We want the number of 100% of the videos. I would solve this by setting up a ratio and solving for [tex]x[/tex]. This is would look like:

[tex]\frac{24}{8} =\frac{x}{100}[/tex]  

In order to get to 100, you must multiply 8 by 12.5. Therefore, you can multiply 24 by 12.5 to complete the ratio. That would make the ratio look like:

[tex]\frac{24}{8} =\frac{300}{100}[/tex]

Therefore there are 100% of the videos in the contest is 300.

"
Suppose set A has 8 distinct elements. Explain the counting method, don't just write down a formula. If you use a formula, explain why it works. (a) How many relations are there on set A?
"

Answers

There are 28 relations on set A.

To determine the number of relations on set A, we need to understand the concept of a relation. A relation between two sets A and B is a set of ordered pairs (a, b) where a is from set A and b is from set B. In this case, both sets A and B are the same, so we are looking for relations within set A.

In a relation on set A, each element of A can be related to any other element of A, including itself. This means that for each pair of elements in set A, we have two possibilities: either they are related or they are not.

Since there are 8 distinct elements in set A, for each pair, we have two choices: either they are related or not related. Therefore, for each pair of elements, we have 2 possibilities.

Now, the total number of relations on set A can be calculated by multiplying the number of possibilities for each pair of elements. Since there are 8 distinct elements in set A, there are (8 choose 2) pairs of elements in total.

Using the binomial coefficient formula, (n choose k) = n! / (k!(n-k)!), we can calculate (8 choose 2):

(8 choose 2) = 8! / (2!(8-2)!)

            = (8 * 7) / (2 * 1)

            = 28

Therefore, there are 28 different relations on set A.

To know more about relations, refer here:

https://brainly.com/question/2253924

#SPJ4

solve the equation by the elimination method..!!
1. 3x+ 4y= 10 & 2x- 2y = 2​

Please don't post invalid answer please..!!

Answers

The value of the x and y by the elimination method will be 2 and 1.

What exactly is a linear system?

It is an equation system in which the maximum power of the variable is always 1. A figure with only one dimension and no breadth. It is made up of infinite dots placed side by side.

Given linear equation;

3x+ 4y= 10

2x- 2y = 2​

The following operations are done;

(3x+ 4y= 10) ×2

(2x- 2y = 2)​ × 3

6x+8y=20

6x-6y=6

Subtract equation 1 from 2 to eliminate x;

6x+8y-6x+6y=20-6

14y=14

y=1

The value of x is obtained by putting the value in equation 1;

3x+4(1)=10

3x=6

x=2

Hence, the value of the x and y by the elimination method will be 2 and 1.

To learn more about the linear system, refer to the link https://brainly.com/question/20379472.

#SPJ1

Michael is opening a savings account for college. The expression 2,300(1.002)12t represents the dollar amount in the account after t years.

Part A
What does the value 2,300 represent in the expression?

Answers

Answer:

2300 represents the amount Michael initally depoisitedin his savings account.

Step-by-step explanation:

An expression is defined as a set of numbers, variables, and mathematical operations. The value 2,300 represented in the expression is representing the initial amount that was in the account.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given that the expression [tex]2,300(1.002)^{12t}[/tex] represents the dollar amount in the account after t years. Therefore, the value 2,300 represented in the expression is representing the initial amount that was in the account.

Learn more about Expression:

https://brainly.com/question/13947055

#SPJ2

Rx: Heparin 40 000 units in D5W 1000 mL Drug available: Heparin 10 000 units/mL 2 mL single-dose vial How much heparin solution would be injected into the D5W 1000-mL bag?
A. 1 ml
B. 2 mL
C. 4 mL
D. 8 mL
6. With reference to question 5, how many heparin vials would be pulled from inventory to prepare the heparin infusion?
A. 1
B. 2
C. 3
D. 4

Answers

To prepare the heparin infusion with a concentration of 40,000 units in 1,000 mL, 4 mL of the heparin solution should be injected into the D5W 1,000 mL bag, i.e., Option C and B are the correct answers.

Since the available heparin solution has a concentration of 10,000 units/mL and the desired concentration is 40,000 units in 1,000 mL, we need to determine the volume of the 10,000 units/mL solution to achieve this concentration.

By setting up a proportion, we can calculate the volume of the heparin solution needed:

10,000 units / 1 mL = 40,000 units / x mL

Cross-multiplying gives us:

10,000x = 40,000

Solving for x:

x = 40,000 / 10,000
x = 4 mL

Therefore, 4 mL of the heparin solution would be injected into the D5W 1,000 mL bag to prepare the heparin infusion.

For the second question, since each vial contains 2 mL and we need 4 mL, we would need to pull 2 vials from inventory to prepare the heparin infusion.

In conclusion, the answer to question 5 is A. 4 mL, and the answer to question 6 is B. 2.

To learn more about Concentration, visit:

https://brainly.com/question/17206790

#SPJ11

what is the range of this data set?

Answers

Answer:

Range = 3.3

Step-by-step explanation:

Range = Max value - Min value

Max value = 100.1

Min Value = 96.8

Range = 100.1 - 96.8

Range = 3.3

Let X be a RV (note that we don’t assume anything about what type of a RV it is) and let H(x) = P(X < x). Rigorously discuss the continuity properties of H: is it continuous / left-continuous / right-continuous / not guaranteed to be any of those?

Answers

The continuity property of H is that it is:

c. right-continuous

Continuity property: A function is continuous if it has no jumps, i.e., the graph can be drawn without lifting the pencil from the paper. For any random variable X, the function H is right-continuous.

Property of left-continuity: A function is left-continuous if the limit of the function from the left side of x exists and is the same as the function value at x. In the case of the function H, it is not continuous from the left side. In fact, there is a jump that occurs in the limit as x approaches any value.Property of right-continuity: A function is right-continuous if the limit of the function from the right side of x exists and is the same as the function value at x. In the case of the function H, it is continuous from the right side.

This is due to the fact that the limit of H(x) as x approaches any value from the right side is equivalent to H(x) as x approaches that value from the right side, so H is continuous from the right side.

A random variable does not have to be any particular type of random variable to have a continuous H. For any random variable X, the continuity property applies to the function H, as demonstrated by the continuity of H from the right side.

To know more about continuity property, visit the link : https://brainly.com/question/30328478

#SPJ11

75/100 reduced by 10

Answers

Answer: 3/4. fraction to decimal calculator to find what's an equivalent decimal for the fractional number 3/4.

0.75 is a decimal and 75/100 or 75% is the percentage for 3/4.

Step-by-step explanation:fraction simplification calculator to find what's a reduced or simplest form for 75/100 at its lowest terms. 3/4 is a simplified fraction for 75/100

Consider the arithmetic sequence presented in the table below. What is the first term, ay, and the 22nd term of the sequence? n 4 37 an 16 115 Hint: Q, = a1 + d(n-1), where ay is the first term and d is the common difference. O a = 7, 222 - 68 O a = 3, 222 150 O a = 3, 222 = 148 O Qı = 7, 222 = 70

Answers

The first term of the arithmetic sequence is 16 and the 22nd term is 148.

To solve for the first term, we can use the following formula:

a_n = a_1 + d(n-1)

where:

a_n is the nth term of the sequence

a_1 is the first term of the sequence

d is the common difference of the sequence

We know that the 4th term is 16 and the 37th term is 115. We can use these values to solve for d.

d = a_{37} - a_4 = 115 - 16 = 99

Now that we know d, we can solve for a_1 using the value of the 4th term.

a_1 = a_4 - d = 16 - 99 = -83

Finally, we can solve for the 22nd term using the value of a_1 and d.

a_{22} = a_1 + d(22-1) = -83 + 99(21) = 148

Therefore, the first term of the arithmetic sequence is 16 and the 22nd term is 148.

Here is a more detailed explanation of the solution:

The first step is to identify the common difference of the sequence. This can be done by subtracting any two consecutive terms in the sequence. In this case, the 4th term is 16 and the 37th term is 115. Subtracting these two terms, we get 115 - 16 = 99. This is the common difference of the sequence.

Once we know the common difference, we can solve for the first term by using any of the terms in the sequence. In this case, we will use the 4th term. The formula for the nth term of an arithmetic sequence is a_n = a_1 + d(n-1), where a_n is the nth term, a_1 is the first term, and d is the common difference. Substituting the 4th term, the common difference, and n = 4, we get a_4 = a_1 + d(4-1). Simplifying this equation, we get 16 = a_1 + 99. Solving for a_1, we get a_1 = -83.

Finally, we can solve for the 22nd term by using the first term and the common difference. The formula for the nth term of an arithmetic sequence is a_n = a_1 + d(n-1). Substituting the first term, the common difference, and n = 22, we get a_{22} = -83 + 99(22-1). Simplifying this equation, we get a_{22} = 148.

Therefore, the first term of the arithmetic sequence is 16 and the 22nd term is 148.

Learn more about arithmetic sequence here:

brainly.com/question/28882428

#SPJ11

Find the missing length PLEASE HELP NEED IT ASAP

Answers

Answer:

c = [tex]\sqrt{58}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

c² = 7² + 3² = 49 + 9 = 58 ( take the square root of both sides )

c = [tex]\sqrt{58}[/tex]

Answer:

58

Step-by-step explanation:

According to Pythagoras Theorem:

[tex] {7}^{2} + {3}^{2} = {c}^{2} [/tex]

Hence,

[tex] = > {c}^{2} = {7}^{2} + {3}^{2} [/tex]

[tex] = > {c}^{2} = 49 + 9[/tex]

[tex] = > {c}^{2} = 58[/tex]

[tex] = > c = \sqrt{58} [/tex]

So,

[tex]c = \sqrt{58} [/tex]

Is the answer.




2. Find the solution to the recurrence relation bn = 4bn-1-4bn-2 with initial values bo = 1 and b₁ = 2.

Answers

The resultant of the recurrence relation bn = 4bn-1-4bn-2 with initial values bo = 1 and b₁ = 2 is bn = (1 + (n/2)) 2ⁿ.

The given recurrence relation is

bn = 4bn-1 - 4bn-2 with initial values bo = 1 and b₁ = 2. Now, we have to find the solution to the recurrence relation. It can be observed that the given recurrence relation is a second-order recurrence relation. The characteristic equation of the recurrence relation is given by:

r² = 4r - 4, which can be simplified as r² - 4r + 4 = 0. We need to solve this equation. It can be solved as r = 2

The characteristic equation of the given recurrence relation has two equal roots r1 = r2 = 2. Therefore, the general result of the recurrence relation is given by:

bn = (A + Bn) 2ⁿ

For the given initial values b₀ = 1, and b₁ = 2 we can write:

b₀ = (A + B(0)) 2⁰ =&gt; A = 1b₁ = (A + B(1)) 2¹ =&gt; A + 2B = 2

On solving these equations, we get A = 1 and B = 1/2

The resultant to the recurrence relation is:

bn = (1 + (n/2)) 2ⁿ

You can learn more about recurrence at: brainly.com/question/30479680

#SPJ11

Long cooks three Vietnamese dinners that weigh a total of 40 ounces. What is the average(mean) weight for each dinner?

Answers

Answer:

The average (mean) weight for each dinner is 13.33 oz.

Step-by-step explanation:

mean = sum of all data points / total number of items in the set

mean = 40 / 3

mean = 13.33 oz

An airplane is at 32000 feet above sea level and the seeds at an average rate of 1000 feet per minute how many minutes will it take for the airplane to land at an airport 3000 feet above sea level

Answers

Answer:

29 minutes

Step-by-step explanation:

Let

x = number of minutes

y = the height of the airplane above sea level in feet

y = 32,000 - 1000x

y = 3,000

Therefore,

y = 32,000 - 1000x

3,000 = 32,000 - 1000x

3,000 - 32,000 = -1000x

-29,000 = -1,000x

x = -29,000 / -1,000

x = 29 minutes

it will take 29 minutes for the airplane to land at an airport 3000 feet above sea level

A consulting firm gathers information on consumer preferences around the world to help companies monitor attitudes about​ health, food, and healthcare products. They asked people in many different cultures how they felt about the statement​ "I have a strong preference for regional or traditional products and dishes from where I come​ from." In a random sample of 735 ​respondents, 325 of 598 people who live in urban environments agreed​ (either completely or​ somewhat) with that​ statement, compared to 54 out of 137 people who live in rural areas. Based on this​ sample, is there evidence that the percentage of people agreeing with the statement about regional preferences differs between all urban and rural​ dwellers?

Answers

It should be noted that Yes, there is evidence that the percentage of people agreeing with the statement about regional preferences differs between all urban and rural dwellers.

How to explain the hypothesis

The sample data shows that 54.6% of urban dwellers (325/598) agree with the statement, while only 40.1% of rural dwellers (54/137) agree. This difference is statistically significant at the p < 0.05 level (two-tailed).

The test statistic is 2.83. The p-value for this test statistic is 0.0047. Since this p-value is less than 0.05, we can reject the null hypothesis and conclude that there is evidence that the percentage of people agreeing with the statement about regional preferences differs between all urban and rural dwellers.

Learn more about hypothesis on

https://brainly.com/question/606806

#SPJ4




36. Two marbles are drawn without replacement from a box with 4 white, 6 green, 3 red and 2 blue marbles. Find the probability both marbles are red.

Answers

The probability of drawing both marbles as red is 1/35.

To obtain the probability of drawing two red marbles without replacement, we need to calculate the probability of drawing one red marble on the first draw, and then the probability of drawing a second red marble given that the first marble was red.

The probability of drawing a red marble on the first draw is given by:

P(Red on 1st draw) = (number of red marbles) / (total number of marbles)

                    = 3 / (4 + 6 + 3 + 2)

                    = 3 / 15

                    = 1/5

After the first red marble is drawn, there are now 2 red marbles remaining out of a total of 14 marbles.

The probability of drawing a second red marble given that the first marble was red is:

P(Red on 2nd draw | Red on 1st draw) = (number of red marbles remaining) / (total number of marbles remaining)

                                     = 2 / 14

                                     = 1/7

To find the probability of both marbles being red, we multiply the probabilities of each event:

P(Both marbles are red) = P(Red on 1st draw) * P(Red on 2nd draw | Red on 1st draw)

                       = (1/5) * (1/7)

                       = 1/35

To know more about probability refer here:

https://brainly.com/question/14210034#

#SPJ11

the population of planet is approximately 280,000 in 2006. Plano is growing 7% per year. What is the population inn 2010? YOUR ANSWER SHOULD BE A WHILE NUMBER!!​

Answers

The answer is 2004 because thats when MLK was first brought to my attention and I remember black lives matter allot

For a class trip a teacher bought 25 student tickets and 5 adult tickets. A. Write an expression for the total cost of tickets purchased. ( Don't forget to identify your unknown and assign a variable) B. If student tickets cost $4 and adult tickets cost $6, how much money did the teacher spend on tickets? 1 point for expression, 1 point for correct amount spent

Answers

25T + 5A = ?
T = Student Tickets
A = Adult Tickets

$4 x 25 = $100.00
$6 x 5 = $30.00
—————————
$130.00

Step-by-step explanation:

we all know that the teacher bought 25 tickets for the children and 5 for the adult children's tickets cost 4 shillings so we'll have to take 25 times for and adult tickets cost $6 so we'll have to take 5 * 6 will get 30 and 25 * 4 will get 100 total is equals to 130 so the teachers spent $130 buying the tickets hope this helps you.

What is the area of a parallelogram that has a base of 1234in. and a height of 212in.?

Answers

Answer:  261,608in²

Step-by-step explanation:

A = bh

A = (1,234)(212)

A= 261,608in²

Enter the correct answer in the box. Function g is the result of these transformations on the parent sine function: vertical stretch by a factor of 3 horizontal shift left units vertical shift down 4 units Substitute the values of A, C, and D to complete the equation modeling function g. g(x) = Asin(x + C) + D

Answers

Answer:

By substituting the values of A, C, and D the equation modelling the function is;

g(x) = 3·sin(x - π/2) - 4

Step-by-step explanation:

From the given information, we have;

The vertical stretch of the sine function = 3 × The parent function

∴ A = 3

Given that the horizontal shift left = π/2 units, (from an online source with similar question)

The vertical shift down = 4 units

The given function, g is g(x) = A·sin(x + C) + D

Where;

A = The amplitude = The maximum displacement from the rest or equilibrium position = 3

C = The horizontal shift = -π/2 (The negative sign is for the shifting to the left)

D = The vertical shift = -4 (The negative sign is for a shift in the downward direction)

Therefore, the equation modelling the function is;

g(x) = 3·sin(x - π/2) - 4

Answer:

g(x) = 3·sin(x + π/2) - 4

Step-by-step explanation:

shifted left, it will be positive inside the parentheses

On a six-day vacation, the forecast is a 60% chance of rain every day. What's the probability that it rains every day? Enter a fraction or round your answer to 4 decimal places, if necessary, Out of 419 applicants for a job, 152 have over 10 years of experience and 63 have over 10 years of experience and have a graduate degree. Step 1 of 2: What is the probability that a randomly chosen applicant has a graduate degree, given that they have over 10 years of experience?

Answers

The probability that it rains every day on a six-day vacation, given a 60% chance of rain each day, can be calculated by multiplying the individual probabilities. The probability of rain on any given day is 0.6, so the probability of rain every day is (0.6)^6 = 0.046656, rounded to 4 decimal places. Therefore, the probability of rain every day during the vacation is approximately 0.0467.

In the case of the job applicants, we are given that out of 419 applicants, 152 have over 10 years of experience and 63 have both over 10 years of experience and a graduate degree. To find the probability that a randomly chosen applicant has a graduate degree, given that they have over 10 years of experience, we need to calculate the conditional probability.

The conditional probability is determined by dividing the number of applicants with both over 10 years of experience and a graduate degree (63) by the total number of applicants with over 10 years of experience (152). Therefore, the probability is 63/152, which is approximately 0.4145, rounded to 4 decimal places. Thus, the probability that a randomly chosen applicant has a graduate degree, given that they have over 10 years of experience, is approximately 0.4145.

Learn more about probability here: brainly.com/question/30034780

#SPJ11

Other Questions
"books are the best of things, well used; abused, among the worst." restate when it comes to multiple relationships, the ethical code can be difficult to discern because it often lacks clear cut recommendations. T/F A rectangle has a length of 2x + 1 and a widthof 5x - 4. Which expression best describes thearea of the rectangle?F 7x - 3H 10x2 3x - 4J 10x2 + 13x - 4G 14x - 6 Janna is buying a netbook with a flash drive. The total cost c will include the price p of the netbook plus $12.50 for the flashdrive. Which is the dependent variable? What should a valid website have?Select one:a. Cited sources, copyright, and a clear purposeb. Cited sources, copyright, and a poor designc. Cited sources, copyright, and colorful imagesd. Cited sources, no copyright, and a broad purpose Please help me and no fileI need help this is for my presentation give me the name of any book and the author and the genre of book and a Quote from someone else who like the book and give me a summary that has no spoiler. based on research on the predictors of happiness, which of the following individuals is most likely to experience high levels of subjective well-being? a. sara, who has an active religious faith b. kelsey, who experiences an external locus of control c. donna, who seldom delays immediately satisfying her impulses d. michelle, who is young and physically attractive Evaluate 3f(2) what is it Han and Andre were comparing the miles they ran during one week of cross country practice Hantan 12 which was three times as much as AndreHow many they run together during the one week You measure a wound to be 2.5 inches long. How many millimetres long is the wound? Round to the nearest tenth.You measure the depth of a wound to be 0.25 inches. How many millimetres is this? Round to the nearest whole number. in what ways does system software make developing application software easier? Which of the following describes service technologies rather than manufacturing technologies? a. Quality is directly measured and longer response time is acceptable. b. Intangible output, production and consumption take place simultaneously c. Tangible product, products can be inventoried for later consumption, little direct customer interaction d. The site of the facility is only moderately important and the business is capital asset intensive. Examples include soft drink and steel companies. F(x)=0.5^x what is the domain and range Once anything passes through the event horizon, from the perspective of thatobject, nothing would change.True or false What is the domain of the function please help, tysm if you do Who first had the idea of shaping a piece of wood into a long narrow board and using it to ride ocean waves? No one knows for sure, but we do know that Hawaiians have been surfing since the 1400s. The Hawaiian word for surfing translates to wave-sliding, a fairly accurate description of this sport in which a surfer stands on a board and gets propelled across the water by the energy of the waves.Type the word from the paragraph that means: pushed or moved forward Choose the sentence that rewrites the given sentence or fragment in the imperfect form."De nino el medico (recetar) pastillas para la alergia"a) De nino el medico me receto pastillas para la alergiab) De nino el medico me recetaba pastillas para la alergiac) El medico me receta pastillas para la alergia 9.20. set s = 2z = {2x : x z}, the set of even integers. prove that s is equicardinal with z. Suppose Lucy want to make sure that when she reaches into her drawer, she is certain to take out enough gloves so that she will have one matching pair to wear. HOW MANY GLOVES MUST SHE TAKE?