What’s the correct answer for this question?

Answer:

0.2061 = 20.61% probability of having a sample mean of 115.8 or less for a random sample of this size

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 normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. 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 estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

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

A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17.

This means that [tex]\mu = 118, \sigma = 17[/tex]

A randomly selected group of 40 members

This means that [tex]n = 40, s = \frac{17}{\sqrt{40}} = 2.6879[/tex]

What is the probability of having a sample mean of 115.8 or less for a random sample of this size?

This is the pvalue of Z when X = 115.8.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{115.8 - 118}{2.6879}[/tex]

[tex]Z = -0.82[/tex]

[tex]Z = -0.82[/tex] has a pvalue of 0.2061

0.2061 = 20.61% probability of having a sample mean of 115.8 or less for a random sample of this size

Answer:it the last one i just got it right,  i dont know how to put the pic up but, hope this helps.

Step-by-step explanation:

Relationship between the cost, c, of a call and the time, t, for the cell phone plan in the second graph.

What is Graph?

Graph is a representation of a network and is used to describe the connectivity between lines and points.

The below table represents the relationship between the cost in dollars and time in hours

Time in hours      0        1        2        3

Cost in dollars     10       13      16      19

By observing the values and Graph, we can see that 2nd graph matches with the given values.

Hence second graph matches with the value.

To learn more about graph click:

https://brainly.com/question/17267403

#SPJ2

Answer:

Option 4

Step-by-step explanation:

Area of shaded region = Area of the circle - Area of the shaded triangles

Area of the circle = πr²

r = Radius of the circle

Therefore, area of the circle = π(4)²

                                               = 16π

Area of the given triangles = [tex]2[\frac{1}{2}(\text{Base})(\text{Height})][/tex]

                                             = Base × Height

                                             = (4 × 4)

                                             = 16

Area of the shaded region = 16π - 16

Option 4 will be the correct option.

Answer:

[tex](d)\ \beta = 2\ rad[/tex]

Step-by-step explanation:

Given

[tex]L =2[/tex] -- length of the arc

[tex]r = 1[/tex] --- radius of a unit circle

[tex]\beta =[/tex] the subtended angle

Required

Find [tex]\beta[/tex]

The length of an arc is:

[tex]L = r * \beta[/tex]

This gives:

[tex]2 = 1 * \beta[/tex]

[tex]2 = \beta[/tex]

Make [tex]\bets[/tex][tex]\beta[/tex] the subject

[tex]\beta = 2[/tex]

Hence:

[tex]\beta = 2\ rad[/tex]

Answer:

2rad

Step-by-step explanation:

Answer:

$666.25

Step-by-step explanation:

Use the equation A = P(1 + rt)

P=16.25

$650+$16.25=666.25

Answer:

no hable spanish

Step-by-step explanation:

Answer:

668.17

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

its a

Answer:

C) 2y = x + 4

Step-by-step explanation:

all other functions include x²

Answer:

the question is worded incorrectly, but I believe the answer is 8566.

Step-by-step explanation:

Answer:

6ft

Step-by-step explanation:

The height is 6ft, because the 3 foot measurements are the width of the prism.

Answer:

Larger groups take less time

Step-by-step explanation:

Answer:

use photomath it'll slove it for you

Step-by-step explanation:

Answer:

M

Step-by-step explanation:

Answer:

Point M

Step-by-step explanation:

Each line represents 0.05 so M would best represent 1/3

Answer: 45

Step-by-step explanation:

Solution for What is 45 percent of 100:

45 percent * 100 =

(45:100)* 100 =

(45* 100):100 =

4500:100 = 45

Now we have: 45 percent of 100 = 45

Question: What is 45 percent of 100?

Percentage solution with steps:

Step 1: Our output value is 100.

Step 2: We represent the unknown value with $x$x​.

Step 3: From step 1 above,$100=100\%$100=100%​.

Step 4: Similarly, $x=45\%$x=45%​.

Step 5: This results in a pair of simple equations:

$100=100\%(1)$100=100%(1)​.

$x=45\%(2)$x=45%(2)​.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{100}{x}=\frac{100\%}{45\%}$

100

x​=

100%

45%​​

Step 7: Again, the reciprocal of both sides gives 45

$\frac{x}{100}=\frac{45}{100}$

x

100​=

45

100​​

$\Rightarrow x=45$⇒x=45​

Therefore, $45\%$45%​ of $100$100​ is $45$

Answer:

40

Step-by-step explanation:

I like to find common factors.

45% and 18 are both divisible by 9.

so

45% ÷ 9 = 5%

18 ÷ 9 = 2

2 is equal to 5%

100% ÷ 5% = 20

so

20 × 2 = 40

100% = 40.

Answer:

40 children went on the cruise.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of adults on the cruise

y is the number of children on the cruise.

57 tickets were sold:

This means that [tex]x + y = 57[/tex], and since we want the number of children y, [tex]x = 57 - y[/tex]

Each adult had to pay $22 for the cruise and each child had to pay $10. The company's total receipts were $774.

This means that:

[tex]22x + 10y = 774[/tex]

Since [tex]x = 57 - y[/tex]

[tex]22(57 - y) + 10y = 774[/tex]

[tex]1254 - 22y + 10y = 774[/tex]

[tex]12y = 480[/tex]

[tex]y = \frac{480}{12}[/tex]

[tex]y = 40[/tex]

40 children went on the cruise.

Answer:

5.175117

Step-by-step explanation:

Answer:

22.4

Step-by-step explanation:

delta math

Answer:22.4

Step-by-step explanation:

Answer:

Hi gimmie brainly

thanks

Answer:

Step-by-step explanation:

Answer:

y = x

Step-by-step explanation:

The equation for slope is y = mx +b. If you look at the line you see that it passes through the origin, this is your y-intercept, 0. If you look at two points at the line and use the rise over run method, you get the slope to be 1. If you substituent these values into the equation you get, y = x.

Hope this helps!

-Luna

Answer:

what is the question?

Step-by-step explanation:

Answer: the answer will be -15.5, but this number is not in the choices given, so I guess you made a mistake while writing the equation

Step-by-step explanation:

6q+8=-9-76

6q+8=-85               Subtract 8 from both sides

6q=-93                   Divide both sides by 6

q=-15.5

Answer:

z=7

Step-by-step explanation:

7 times (-8)=-56

hope this helps:)

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer: 6

Step-by-step explanation: a + 2b + 3 c = a + 2b + 3c

Answer:

48 ounces.

Step-by-step explanation:

Steps:

Combine the weight of the cats.

12 (assuming it is a typo, 1212 pounds is a pretty big cat!) + 17 = 30 pounds

Convert to ounces.

33 pounds = 528 ounces

30 pounds = 480 ounces

Subtract the two/find the difference.

528 - 480 = 48.

The difference in ounces between Audrey's dog and the combined weights of Drew's cats is 48 ounces.

Answer:

A. n=10

Step-by-step explanation:

your welcome

Answer:

n=100

Step-by-step explanation:

In a residential neighborhood, the median value of a house is $200,000. For which of the following sample sizes is the sample median most likely to be above $250,000?     That was the exact question I had on the quiz. I'm not sure why it is n=100, but I got it correct.

Answer:

Opposite angles are right angles.

Step-by-step explanation:

Answer:

Step-by-step explanation:

KP²+HP²=KH²

KP²+5²=8²

KP²=64-25=39

KP=√39