Find the value of x.
Plz help :/

Answer:

a) p = 0.5.

b) s = 0.025.

c) 0.7257 = 72.57% probability that there will be 48.5% or more individuals with IQ scores over 100 in a random sample of 400.

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 establishes 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.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

It is known that 50% of the general population has an IQ score exceeding 100. Sample of 400.

This means that [tex]n = 400, p = 0.5, s = \sqrt{\frac{0.5*0.5}{400}} = 0.025[/tex]

(a) Find the mean of p, where p is the proportion of people with IQ scores over 100 in a random sample of 400 people

By the Central Limit Theorem, p = 0.5.

(b) Find the standard deviation of p.

By the Central Limit Theorem, s = 0.025.

(c) Compute an approximation for P(p is greater than or equal to 0.485), which is the probability that there will be 48.5% or more individuals with IQ scores over 100 in a random sample of 400.

This is 1 subtracted by the p-value of Z when X = 0.485. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{0.485 - 0.5}{0.025}[/tex]

[tex]Z = -0.6[/tex]

[tex]Z = -0.6[/tex] has a p-value of 0.2743.

1 - 0.2743 = 0.7257.

0.7257 = 72.57% probability that there will be 48.5% or more individuals with IQ scores over 100 in a random sample of 400.

3-digit number is abc. ( just call it)

abc= 9d + 3, meaning abc = 3e

abc = 2k + 1, meaning abc is an odd number

abc = 5t + 4, meaning c = 9 ( because abc is an odd number so c can not be 4)

so a+b must be equal 3.

abc can be 309, 219, 129

Answer:

ディーズナッツ

Step-by-step explanation:

Answer:

650

Step-by-step explanation:

Answer:

1.4

Step-by-step explanation:

= [(4 x 2) + (2 x 3)] ÷ 2 x 5

= [8 + 6] / 10

= 14 / 10

= 1.4

Answer:

d. y = x + 6

Step-by-step explanation:

Equation of AD can be written in the slope-intercept form, y = mx + b

First, find the slope (m) and y-intercept (b) of line AD.

✔️Slope (m) = change in y/change in x

Using two points on line AD, (-5, 1) and (0, 6):

Slope (m) = (6 - 1)/(0 - (-5))

Slope (m) = 5/5

m = 1

✔️y-intercept (b) is the point where the line cuts across the y-axis = 6

b = 6

✔️To write the equation, substitute m = 1 and b = 6 into y = mx + b

y = 1(x) + 6

y = x + 6

Answer:

The covariance between the variables is 21.10 and the Correlation coefficient is 0.9285.

Step-by-step explanation:

Hence,

Answer:

r = 8%

Step-by-step explanation:

Given that,

Interest, I = $24

Principal, P = $1200

Time, t = 90 days = 90/360 = 1/4 years

We need to find the rate.

We know that,

The simple interest is given by :

[tex]I=\dfrac{Prt}{100}[/tex]

Put all the values,

[tex]r=\dfrac{100I}{Pt}\\\\r=\dfrac{100\times 24}{1200\times \dfrac{1}{4}}\\\\r=8\%[/tex]

So, the rate is 8%.

Answer:

x(1+20)=22

21x=22

x= 22/21

x= 1.05

Step-by-step explanation:

Answer:

2!!!

Step-by-step explanation:

the person is wrong.. 2+20=22

Answer:

6

Step-by-step explanation:

6*9 = 54

6*6 = 36

6*7 = 42

Answer:3

The lines that are parallel have the same slope. For the line y=3x + 5, slope = 3, so, for parallel line slope also will be equal 3

Step-by-step explanation:

Answer:

[tex]f^{-1}(x) =\frac{x}{3} - 5[/tex]

The inverse function is to calculate the number of rides; given the amount paid

Step-by-step explanation:

Given

[tex]Admission = 15[/tex]

[tex]Ride = 3[/tex] per ride

Required

Explain the inverse function

First, we calculate the function

Let x represents the number of rides

So:

[tex]f(x) = Admission + Ride * x[/tex]

[tex]f(x) = 15 + 3 * x[/tex]

[tex]f(x) = 15 + 3x[/tex]

For the inverse function, we have:

[tex]y = 15 + 3x[/tex]

Swap x and y

[tex]x = 15 + 3y[/tex]

Make 3y the subject

[tex]3y = x - 15[/tex]

Make y the subject

[tex]y =\frac{x}{3} - 5[/tex]

Replace y with the inverse function

[tex]f^{-1}(x) =\frac{x}{3} - 5[/tex]

The above is to calculate the number of rides; given the amount paid

Answer:

the shortest side is 855 miles long.

Step-by-step explanation:

a + b + c = 3078 miles

a = b - 71

c = b + 371

=>

(b-71) + b + (b+371) = 3078

3b + 300 = 3078

3b = 2778

b = 926 miles

a = 926 - 71 = 855 miles

c = 926 + 371 = 1297 miles

Answer:

Due to the lower price per kilogram, purchasing the regular size at 720 grams for 60c is more economical.

Step-by-step explanation:

Which is more economical?

Whichever situation has the lowest price per kilogram.

3 kilograms for $3.15

3.15/3 = $1.05 per kilogram.

720 grams for 60c

0.6/0.72 = $0.83 per kilogram.

Due to the lower price per kilogram, purchasing the regular size at 720 grams for 60c is more economical.

The surface area is 150.5 in

Answer:

The surface area of this rectangular prism is 150.5 [tex]inches^{2}[/tex].

Step-by-step explanation:

The formula for finding the surface area of a rectangular prism is this :

A=2(wl + hl + hw)

l = 3.5, w = 9, h = 3.5

Now we substitute those values in and solve for A.

A = 2 · ( 9 · 3.5 + 3.5 · 3.5 + 3.5 ·9) = 150.5

The surface area of this rectangular prism is 150.5 [tex]inches^{2}[/tex].

Hope this helps, please mark brainliest. Have a great day!

Answer:

33

Step-by-step explanation:

Pls vote my answer as brainliest

Answer:

33

Step-by-step explanation:

To write a linear expression in standard form, rearrange the terms in alphabetical order.

3684

Answer:

C

Step-by-step explanation:

Diameter is 12.

Radius is 6

Center is (3,6)

Answer:

[tex]-\sqrt{2} + \sqrt{2}i[/tex]

Step-by-step explanation:

Angle of 9pi/4

The equivalent angle of [tex]\frac{9\pi}{4}[/tex], on the first lap, is found subtracting this angle from [tex]2\pi[/tex]. Thus:

[tex]\frac{9\pi}{4} - 2\pi = \frac{9\pi}{4} - \frac{8\pi}{4} = \frac{\pi}{4}[/tex]

Thus, the sine and cosine are:

[tex]\sin{(\frac{9\pi}{4})} = \sin{(\frac{\pi}{4})} = \frac{\sqrt{2}}{2}[/tex]

[tex]\cos{(\frac{9\pi}{4})} = \cos{(\frac{\pi}{4})} = \frac{\sqrt{2}}{2}[/tex]

Angle of 3pi/2

On the first lap of the circle, thus no need to find the equivalent angle. We have that:

[tex]\sin{(\frac{3\pi}{2})} = -1, \cos{(\frac{3\pi}{2})} = 0[/tex]

Expression:

[tex]4(\cos{(\frac{9\pi}{4})} + i\sin{(\frac{9\pi}{4})}) \div 2(\cos{(\frac{3\pi}{2})} + i\sin{(\frac{3\pi}{2})})[/tex]

[tex]4(\frac{\sqrt{2}}{2} + i\frac{\sqrt{2}}{2}) \div 2(0 - i)[/tex]

[tex]\frac{2\sqrt{2} + 2\sqrt{2}i}{-2i} \times \frac{i}{i}[/tex]

Considering that [tex]i^2 = -1[/tex]

[tex]\frac{-2\sqrt{2}+2\sqrt{2}i}{2}[/tex]

[tex]-\sqrt{2} + \sqrt{2}i[/tex]

Given:

Leila is arranging 11 cans of food in a row on a shelf. She has 4 cans of corn, 1 can of peas, and 6 cans of beets.

To find:

The distinct orders can the cans be arranged if two cans of the same food are considered identical.

Solution:

Total number of cans = 11

Cans of corn = 4

Cans of Peas = 1

Cans of beets = 6

We need to find divide total possible arrangements (11!) by the repeating arrangements (1!, 4!, 6!) to find the distinct orders can the cans be arranged if two cans of the same food are considered identical.

[tex]\text{Distinct order}=\dfrac{11!}{1!4!6!}[/tex]

[tex]\text{Distinct order}=\dfrac{11\times 10\times 9\times 8\times 7\times 6!}{1\times (4\times 3\times 2\times 1)\times 6!}[/tex]

[tex]\text{Distinct order}=\dfrac{55440}{24}[/tex]

[tex]\text{Distinct order}=2310[/tex]

Therefore, the total number of distinct orders is 2310.

Answer:

0.425

0.5

Step-by-step explanation:

Given :

Outcome 0 1 2 3 4 5 6 7 8 9

Number of Trials 4 2 5 3 2 6 6 3 6 3

The experimental probability of obtaining an odd number :

Odd outcomes are : 1, 3, 5, 7, 9

Total number of trials = Σ(4 2 5 3 2 6 6 3 6 3) = 40

Total number of odd outcomes = (2+3+6+3+3) = 17

Experimental probability = number of prefferwd outcomes / total number of trials

Experimental P(odd). = 17 / 40 = 0.425

The theoretical probability of getting an odd number :

Required outcome / Total possible outcomes

Number of odd values / total number of values

5 / 10 = 1/2

Answer:

0.510

0.500

Step-by-step explanation:

part c) = A

name me brainiest

Answer:

no, in a normal distribution mode=median=mean. So while in theory, the median and the mean can be the same, the mode is not.

Step-by-step explanation:

Based on the maximum possible score, the scores by the student, and the deviation, we cannot say that the test scores are normally distributed.

In a normal distribution, the mean, mode and median have to be equal thanks to the bell-shaped nature of the distribution.

In this case, the median will be the score of the single student who is 10 points off the mean.

The mean will be affected by the extreme values of zero and a perfect score, and the mode will either be zero or 100.

The mean, mode, and median are therefore not the same so this isn't a normal distribution.

Find out more on normal distributions at https://brainly.com/question/23418254.

#SPJ9

Answer: I don't know the exact details but Egypt is home to some of the world's most famous tombs, among them the monumental pyramids. Egyptians built rectangular benches over graves during the fourth dynasty, which was known as the Masabas period. During this time period, pyramids were constructed by stacking square or rectangular tombs on top of one another.

Step-by-step explanation:

If you folded the figure up, you would have a prism where the parallel bases are right triangles. Each lateral face is a rectangle.

It might help to imagine a room where the floor and ceiling are triangles (they are identical or congruent triangles). Each wall of this room is one of the rectangles shown.

Answer: hello your question has some missing data attached below is the missing data

answer :

∑ Volume variance = $55272

∑ Sales price variance = $41944 ( F )

Step-by-step explanation:

First step : prepare a flexible budget data for the current year using the formulae below

flexible budget = Actual units * Budgeted rate

and

Sales price variance = Actual - Budgeted data

Attached below is the Table showing the evaluation of sales price variance and volume variance

Answer:

6

Step-by-step explanation:

=>root(2) x root(3) x root(6)

=>root(2x3) x root(6)

=>root(6) x root(6)

=>6

Answer:

1.894

3.169

2.064

3.690

Step-by-step explanation:

A.) 90% ; sample size = 8

Degree of freedom, df = n - 1

t(1 - α/2, 7) = t0.05, 7 = 1.894

B.) 99% ; sample size = 11

Degree of freedom, df = n - 1

t(1 - α/2, 10) = t0.005, 10 = 3.169

C.) 95% ; sample size = 25

Degree of freedom, df = n - 1

t(1 - α/2, 24) = t0.025,24 = 2.064

(D.) 99.5% and sample size 10.

Degree of freedom, df = n - 1

t(1 - α/2, 9) = t0.0025,9 = 3.690

Answer:

hear is your answer in attachment please give me some thanks