Solve for x
Pls help

Answer:

The step-by-step procedure to solve this question is given, using the normal approximation to the binomial distribution.

Step-by-step explanation:

We use the normal approximation to the binomial distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

In the U.S., 45% of adults over 65 suffer from one or more of the conditions considered in the study.

This means that [tex]p = 0.45[/tex]

Mean and standard deviation for the approximation, for a sample of n:

[tex]\mu = E(X) = np = 0.45n[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{0.45*0.55n}[/tex]

Calculate the probability that fewer than 320 out of the n

Using continuity correction, this is [tex]P(X < 320 - 0.5) = P(X < 319.5)[/tex], which is the pvalue of Z when X = 319.5. So

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

[tex]Z = \frac{319.5 - 0.45n}{\sqrt{0.45*0.55n}}[/tex]

Just have to replace the value of n, find Z, and then find its pvalue.

Answer:

= 0

Step-by-step explanation:

Let's solve your equation step-by-step.

2x−4=2(x−2)

Step 1: Simplify both sides of the equation.

2x−4=2(x−2)

2x+−4=(2)(x)+(2)(−2)(Distribute)

2x+−4=2x+−4

2x−4=2x−4

Step 2: Subtract 2x from both sides.

2x−4−2x=2x−4−2x

−4=−4

Step 3: Add 4 to both sides.

−4+4=−4+4

0=0

2674 to the nearest hundred would be 2700

Answer:

t= 64.2-63 / 2.9/ sqrt 40

Step-by-step explanation:

Got it right on AP Classroom

There is a 0.18 probability of obtaining a sample mean height of exactly 64.2 inches from a population whose mean height is 63.7 inches.

The null hypothesis in inferential statistics states that two possibilities are identical. The null hypothesis states that the observed difference is purely random. It is feasible to calculate the probability that the null hypothesis is correct using statistical testing.

1. C) H0: u = 63.7 in. versus H1: u > 63.7 in.

the null hypothesis state that over the years the mean height is 63.7in. the alternative hypothesis will be if the mean height is greater than 63.7

2. z = (variate - mean)/ (standard deviation/

Z = (64.2 - 63.7)/ (20/roots 45) =0.17

meaning there is

B. There is a 0.18 probability of obtaining a sample mean height of exactly 64.2 inches from a population whose mean height is 63.7 inches.

3. if the level of significance is 0.05 or between  0.05 and 0.01, i.e. the confidence level is 95% or  between 95% and 99%, the results are considered  to be probably significant, i.e. the results  are probably correct,

Therefore, the alternative hypothesis is correct

To know more about the Null hypothesis follow

https://brainly.com/question/15980493

#SPJ2

Answer:

The slops is -4

Step-by-step explanation:

Given

x: -1   1    3   5

y: 10   2   -6   -14

Required

The slope

Pick any pair of x and y

[tex](x_1,y_1) = (-1,10)[/tex]

[tex](x_2,y_2) = (1,2)[/tex]

The slope is:

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

[tex]m = \frac{2 -10}{1 --1}[/tex]

[tex]m = \frac{-8}{2}[/tex]

[tex]m = -4[/tex]

Answer:

1/3

Step-by-step explanation:

Answer:

a = -15

Step-by-step explanation:

multiply both sides by 3, then you get a = -15

Answer:

a= -15 for the first one and b= -1 for the 2nd one

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Looking at the figure, we can say that it is a vertical angle.

5x - 7 = 23

5x - 7 + 7 = 23 + 7

5x = 30

5x / 5 = 30 / 5

x = 6

Since it is a vertical angle, the other side should be 23⁰. You can also plug in the x value to find if it gives you 23⁰ or not.

5x - 7

5(6) - 7

30 - 7

23

Therefore, x = 6. Hope this helps and stay safe, happy, and healthy, thank you :) !!

Answer:

[tex] \sf \huge \boxed{ \boxed{(b + \frac{2}{3} )(b - \frac{2}{3} )}}[/tex]

Step-by-step explanation:

Answer:

Solution given:

[tex]b^{2} -\frac{4}{9}[/tex]=[tex]b^{2} -\frac{2^2}{3^2}=b^2 -(\frac{2}{3})^2[/tex]

it is in the form of x²-y²=(x+y)(x-y)

so

[tex]b^2 -(\frac{2}{3})^2=(b+\frac{2}{3})(b-\frac{2}{3})[/tex] is A required polynomial.

Step-by-step explanation:

Answer:

5 2/3

Step-by-step explanation:

Answer:

it is the last graph/D

Step-by-step explanation:

Answer:

45 miles. 3*12 +3/4 *12 =x=>36+9=x=>x= 45.

Answer:

3 ft^2

Step-by-step explanation:

first find the width of the storage box using the given volume

V = L * W * H

9 = 4 * W * 3

9 = 12 * W

9/12 = W

W = 3/4 or .75

then with that to find the are of the base multiply the length and the width

a = l * w

a = 4 * 3/4

a = 3

Answer:

y=[(x-6)/5]^(1/3)+4

Step-by-step explanation:

f(x)=5(x-4)^3 +6

trade x and y

x=5(y-4)^3 +6

x-6=5(y-4)^3

(x-6)/5=(y-4)^3

[(x-6)/5]^(1/3)=y-4

y=[(x-6)/5]^(1/3)+4

Answer:

[tex]1124.28 \text { to } 1220.94[/tex]

Step-by-step explanation:

A 99% confidence interval for the mean sodium content in Oriental Spice Sauce is,

First, compute t -critical value then find confidence interval.

The t critical value is,

The sample size is small and two-tailed test. Look in the column headed [tex]\alpha=0.01[/tex] and the row headed in the t distribution table by using degree of freedom is,

 d . f . =n-1

=170-1  

=169

The t critical value is 2.605 .

[tex]99 \% \text { C.I. } &=\bar{x} \pm t_{c} \times s / \sqrt{n}[/tex]

[tex]=1172.61 \pm 2.605 \times 241.88 / \sqrt{170}[/tex]

[tex]=1172.61 \pm 48.33[/tex]

[tex]=1124.28 \text { to } 1220.94[/tex]

A [tex]99%[/tex]confidence interval for the mean sodium content in Oriental Spice Sauce is  

[tex]1124.28 \text { to } 1220.94[/tex]

Answer:

how is this Spanish

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Cuz there are twice as many workers so it will take twice as less time

Answer:

Raíz cuadrada de (3.9)^2+(56)2

Step-by-step

C^2= a^2+b^2

Sabes que la c es la distancia del punto más alto de la Torre hasta donde llega tu vista

Answer:

the equivalent expression is 0.88(x)

Step-by-step explanation:

Given that

There is 12% off on the total purchase price

Based on the above information

The expression that used the given terms i.e.

b - 0.12b

i.e.

1 - 0.12

= 0.88(x)

Hence, the equivalent expression is 0.88(x)

Answer

c^4-32c^2+256 (Simplified)

Answer:

80%

Step-by-step explanation:

Because the answer is 80%

Answer:40 percent

Step-by-step explanation:Total number of fruit in a bowl is 15 pieces.

Number of apples are 6 pieces in a bowl.

6/15 times 100 equals 40%

Answer:

Step-by-step explanation:

If it is a parallelogram the opposite sides will a have the same slope.

Using the diagram  we see from the coordinates of A and B:

Slope of AB = (5 - -1)/(-1 - -5)

= 6/4

= 3/2.

In the same way

slope of CD = (2 - -4) / (1 - -3)

= 3/2.

So AB and  CD can be shown to be parallel.

Similarly the lines BC and AD are parallel.

So the figure is a parallelogram

Finding the perimeter (counting the units between the points):

Perimeter = 2AB + 2BC

By Pythagoras:

AB =   sqrt (6^2 + 4^2) = sqrt 52

BC = sqrt (3^2 + 2^2) = sqrt 13

So Perimeter = 2sqrt52 + 2sqrt13

= 4sqrt13 + 2 sqrt13

= 6sqrt13

or 21.63 unit^2 to 2 decimal places.

Area = sqrt52 * perpendicular distance between the lines AB and CD.

Answer:

Use Trigonometric formulae to simplify expressions

Step-by-step explanation:

Re-order to group the x and y,

Sin(y) / Sin(a+y) = x

to differentiate apply d/dx to both sides

[tex]\frac{d}{dx}[/tex]Sin(y) / Sin(a+y) = [tex]\frac{d}{dx}[/tex]x

use division rule on left side which will give

[tex]\frac{dy}{dx}[/tex]Cos(y)Sin(a+y) - [tex]\frac{dy}{dx}[/tex]Cos(a+y)Sin(y) / Sin²(a+y) = 1

Group them so dy/dx is on the left hand side:

[tex]\frac{dy}{dx}[/tex] = Sin²(a+y) / Cos(y)Sin(a+y) - Cos(a+y)Sin(y)

Apply trigonometric sum formula to expand Sin(a+y) and Cos(a+y),

[tex]\frac{dy}{dx}[/tex] =  Sin²(a+y) / Cos(y)[Sin(a)Cos(y) + Cos(a)Sin(y)] - Sin(y)[Cos(a)Cos(y) - Sin(a)Sin(y)]

Simplify it

[tex]\frac{dy}{dx}[/tex] = Sin²(a+y) / (Cos²(y) + Sin²(y))(Sin(a))

[tex]\frac{dy}{dx}[/tex] = Sin²(a+y) / (1)(Sin(a))

Answer:

8

Step-by-step explanation:

1/4 times 8 is 2