DUE SOON PLEASE HELP! QUESTION DOWN BELOW PLEASE EXAPLIN HOW IT IS THAT ANSWER SO I KNOW FOR NEXT TIME!

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:

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:

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:

$357.77

Step-by-step explanation:

Add all of the figures together to find the answer

227.06 + 95.55 + 35.16 = 357.77

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°

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:

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: -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:

500K + 100Q <= 18,000 ( D )

Step-by-step explanation:

king bed ( K ) requires = 100 cubic feet

Queen bed ( Q ) requires = 90 cubic feet

Total available space = 18,000 cubic feet

Revenue of king size bed = $300

Revenue of queen size bed = $150

Hence the NOT feasible purchase combination

= 500K + 100Q <= 18,000

because 500 of king size bed + 1000 of queen size is > 18,000

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:

1 radius in a full circle

Answer: 6.28 radians

Step-by-step explanation: I think pls BRAINLIEST

Answer:

0.0802 = 8.02% probability that the sample mean would differ from the population mean by more than 2.2 millimeters

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.

Their current steel bolts have a mean diameter of 148 millimeters, and a standard deviation of 7 millimeters.

This means that [tex]\mu = 148, \sigma = 7[/tex]

Sample of 31:

This means that [tex]n = 31, s = \frac{7}{\sqrt{31}}[/tex]

What is the probability that the sample mean would differ from the population mean by more than 2.2 millimeters?

Less than 148 - 2.2 = 145.8 or more than 148+2.2 = 150.2. Due to the simmetry of the normal distribution, these probabilities are the same, which means that we find one and multiply by 2.

Probability of being less than 145.8:

The pvalue of Z when X = 145.8. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{145.8 - 148}{\frac{7}{\sqrt{31}}}[/tex]

[tex]Z = -1.75[/tex]

[tex]Z = -1.75[/tex] has a pvalue of 0.0401

2*0.0401 = 0.0802

0.0802 = 8.02% probability that the sample mean would differ from the population mean by more than 2.2 millimeters

Answer:

true.

Step-by-step explanation:

Answer:

2.138262

Answer:

2.138262

Step-by-step explanation:

21,382.62 ÷ 10,000

Answer:

Right Angles: C, F

Obtuse Angles: E, B

Acute Angles: A, D

Step-by-step explanation:

Right Angles are angles that are exactly 90 degrees.

Obtuse Angles are angles that are bigger than 90 degrees.

Acute Angles are angles that are smaller than 90 degrees.

Answer:

a . C and F .

b. B and E .

c. A and D .

Step-by-step explanation:

Hope this helps .

Answer: its D

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

Answer:

from the given equation

Step-by-step explanation:

eqn 1 = eqn 3= eqn 4

these all are equivalent

Answer: − 16 m + 20

Step-by-step explanation:

Answer:

m = 5/4

Step-by-step explanation:

Answer:

-882y^11/x^5

Step-by-step explanation:

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:

https://brainly.com/question/5425085

Answer:

you get 2932.6

Step-by-step explanation:

you basically just round it down because it isn't 5 or above.

please mark brainliest

im really smart (no im not thats why im here)

Answer:

B

Step-by-step explanation:

hope i helped

Step-by-step explanation:

(0, 4) (4, 0)

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

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:

Yes, you're correct.

An example would be, say, 345. You want to find 60%. So you multiply 345 by 0.60.

Answer:

Give other answer brainliest!!!!

Step-by-step explanation:

Good work

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