Help I need a equation

Answer:

The correct value of the Z-statistic is z = -1.56

Step-by-step explanation:

A company manufacturing computer chips finds that 8% of all chips manufactured are defective.

This means that the null hypothesis is:

[tex]H_{0}: p = 0.08[/tex]

A hypothesis test is performed to determine if the additional training was effective in lowering the defect rate.

This means that the alternate hypothesis is:

[tex]H_{a}: p < 0.08[/tex]

z-statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.08 is tested at the null hypothesis:

This means that [tex]\mu = 0.08, \sigma = \sqrt{0.08*0.92}[/tex]

After training was implemented, a sample of 450 chips revealed only 27 defects.

This means that [tex]n = 450, X = \frac{27}{450} = 0.06[/tex]

The correct value of the Z-statistic is

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.06 - 0.08}{\frac{\sqrt{0.08*0.92}}{\sqrt{450}}}[/tex]

[tex]z = -1.56[/tex]

Answer:

2sin(3θ) - √3 = 0

Step-by-step explanation:

 sin(3θ) = √3/2

3θ = π/3 + 2kπ or 2π/3 + 2kπ, k = 0, ±1, ±2, ±3,...

θ = π/9 + 2kπ/3, 2π/9 + 2kπ/3

If k = 0, we get θ = π/9, 2π/9

If k = 1, we get θ = 7π/9, 8π/9

If k = 2, we get θ = 13π/9, 14π/9

Other values of k give values of θ lying outside of the interval [0, 2π).

We want to find all the solutions of 2sin(θ) = √3 on the interval 0 ≤ θ ≤ 2π. The only solution is θ = 1.05

So we want to solve the equation: 2sin(θ) = √3

First, we divide both sides by 2 to get:

sin(θ) = (√3)/2

Now remember the inverse sine function, it acts as follows:

Asin(sin(x)) = xsin(Asin(x)) = x

So we can apply this to both sides to get:

Asin(sin(θ)) = Asin((√3)/2)θ = Asin((√3)/2) = 1.05

And because we know that the period of the sine function is 2π, we know that there is only one solution on the range between 0 and 2π, then the only solution in the interval is:

θ = 1.05

If you want to learn more, you can read:

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Answer:

from the given equation

Step-by-step explanation:

eqn 1 = eqn 3= eqn 4

these all are equivalent

Answer:

5 feet aka 60 inches

Step-by-step explanation:

A 5 feet

Multiply 12 times 5

Which is equal to 60 inches

5 feet= 60 inches

Answer: its D

Step-by-step explanation: because a - x - is a positive so you add them

Answer:

The answer is "0.54 and (0.4733, 0.6067)".

Step-by-step explanation:

Please find the complete question in the attachment file.

In question 1:

[tex]\to x=81\\\\ \to n=150\\\\ \to \hat{p}=\frac{x}{n}=\frac{81}{150}=0.54\\\\[/tex]

Hence the choice A is correct.

In point b:

Calculating Critical Value:

[tex]\to (Z_{\alpha/2})=1.64 \ \ \ \ \ \ \ \ \ \ (use \ \ z\ \ table)\\\\[/tex]

Calculating the Confidence intervals:

[tex]=\hat{p} \pm Z_{\alpha/2}\times \sqrt{\frac{\hat{p} \times (1-\hat{p}))}{n}}\\\\ =0.54 \pm 1.64\times \sqrt{\frac{0.0.54 \times (1-0.54)}{150}}\\\\ =0.54 \pm 0.0667\\\\ =(0.4733, 0.6067)\\\\[/tex]

Hence the choice a is correct.

The correct confidence interval is (0.4733, 0.6067).

The z critical test is conducted when the population standard deviation on a normal distribution is known and the sample size is greater than or equal to 30.

x = 81

n = 150

p = x/n =81/ 150

p  = 0.54

So, the correct choice is A.

In point b

Critical Value:

[tex]Z_{\alpha /2} = 1.64[/tex]

the Confidence intervals:

= p±[tex]Z_{\alpha /2} \times \sqrt{\frac{p \times (1-p)}{n} }[/tex]

= 0.54 ± [tex]\\1.64 \times \sqrt{\frac{0.54 \times (1-0.54)}{150} }[/tex]

= 0.54 ± 0.0667

= (0.4733, 0.6067)

Hence, the choice A is correct.

Therefore, the correct confidence interval is (0.4733, 0.6067).

Learn more about critical value:

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Answer:

20

Step-by-step explanation:

trust me

Answer:

51.2

Step-by-step explanation:

Since it's a percentage all you have to do is multiply 32 by 1.6 because a 100 percent is equivalent to 1 so 160 percent is equivalent to 1.6.

Answer:

$357.77

Step-by-step explanation:

Add all of the figures together to find the answer

227.06 + 95.55 + 35.16 = 357.77

Step-by-step explanation:

(0, 4) (4, 0)

(0-4)/(4-0) = -4/4= -1 is the slope

Answer: -18, l-17l, l-18l, l19l, 20

Step-by-step explanation: You can just think of the ones in absolute value brackets as positive.

Answer:

x = 35

Step-by-step explanation:

Angles sum of a triangle = 180

That being said we want to create an equation to solve for x

180 = 2x - 8 + x - 7 + 90 ( there is a right angle indicated by the little square; a right angle has a measure of 90 degrees, so just in case you were wondering that's where the 90 came from )

now we solve for x

step 1 combine like terms

2x + x = 3x

90 - 7 - 8 = 75

now we have 180 = 75 + 3x

step 2 subtract 75 from each side

180 - 75 = 105

75 - 75 cancels out

Now we have 105 = 3x

step 3 divide each side by 3

105 / 3 = 35

3x/3=x

we're left with x = 35

Answer:

$44104

Step-by-step explanation:

Given data

Cost = $29800

Rate= 4%

Time= 10years

Applying the formula below, we can find the cost after 10 years as

A=P(1+r)^t

A= 29800(1+0.04)^10

A=29800(1.04)^10

A=29800*1.480

A=$44104

Hence the new cost is $44104

Answer:

C = 62

Step-by-step explanation:

Answer:

If I did this right the perimeter is 83.7 and the area is 257.1

Explanation:

the perimeter is all sides added so 15+8+8+6.7+20+26 = 83.7

To make adding the area easier, we would separate it into different shapes.

Area of a Triangle: (b x h)/2

(15x9)/2 = 45 since it's a triangle

8x9 = 72

20x6 = 120

(6x6.7)/2 = 20.1 since it's also a triangle

45 + 72 + 120 + 20.1 = 257.1

Answer: − 16 m + 20

Step-by-step explanation:

Answer:

m = 5/4

Step-by-step explanation:

Answer:

x=3 y=-2

Step-by-step explanation:

Elimination would bring the equation to

3x=18

18/6 is 3

6-3y=12

-3y=6

y=-2

Answer:

B. 15 y +8  x/ 6 x y

Step-by-step explanation:

Combine the fractions by finding a common denominator.

Answer:

B

Step-by-step explanation:

Answer:

-882y^11/x^5

Step-by-step explanation:

9514 1404 393

Answer:

  26

Step-by-step explanation:

The question is asking the fraction equivalent of 0.26 (twenty-six hundredths).

That fraction is 26/100 (twenty-six hundredths). The missing number is 26.

Answer:

Step-by-step explanation:

I believe the answer is 8 plantains. For $12 you can buy 24 plantains, for $24 you can buy 48 plantains. Now we know that it is going to be times 2. This means you could get 8 plantains.      

Hope this helps!

Answer:

true.

Step-by-step explanation:

Answer:

The critical value that should be used in constructing the confidence interval is T = 2.898.

The 99% confidence interval for the population mean iron concentration is between 0.214 cc/cubic meter and 0.33 cc/cubic meter.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.898.

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.898\frac{0.0851}{\sqrt{18}} = 0.058[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 0.272 - 0.058 = 0.214 cc/cubic meter.

The upper end of the interval is the sample mean added to M. So it is 0.272 + 0.058 = 0.33 cc/cubic meter.

The 99% confidence interval for the population mean iron concentration is between 0.214 cc/cubic meter and 0.33 cc/cubic meter.

Answer:

1 radius in a full circle

Answer: 6.28 radians

Step-by-step explanation: I think pls BRAINLIEST

Answer:

arc ABC = 196°

arc DC = 360 - 196 - 70 = 94°  (which looks out of proportion, but so does angle D)

Step-by-step explanation:

arc ABC = 2(∠D) = 2(98°) = 196°