90 degree

Step-by-step explanation:

Three points A, B, and C are added and shown in attached picture.

As the property of inscribed angle in circle:

angle BAC = (1/2) x 88 = 44 deg

As the property of complement angle:

angle ABC = 180 - 89 = 91 deg

As the property of sum of three angles in a triangle:

angle ACB + angle ABC + angle BAC = 180 deg

=> angle ACB = 180 - angle ABC - angle BAC = 180 - 44 - 91 = 45 deg

One more time, we use the property of inscribed angle in circle:

x = 2 x angle ACB = 2 x 45 = 90 deg

Hope this helps!

## Related Questions

If the mean of 5 positive integers is 15, what is the maximum possible difference between the largest and the smallest of these 5 numbers?

64

Step-by-step explanation:

If the mean is 15, the sum of 5 numbers is:

• 5*15 = 75

Minimum value for the first four numbers would be:

• 1, 2, 3, 4

Then the fifth number is:

• 75 - (1+2+3+4) = 75 - 10 = 65

So the maximum difference is:

• 65 - 1 = 64

C

Step-by-step explanation:

I'm pretty sure it's none..?

Plz help asap In 4 years, Harry’s age will be the same as Jim’s age is now. In 2 years, Jim will be twice as old as Harry will be. Find their ages now.

Harry is 2, Jim is 6

Step-by-step explanation:

The first statement tells us they are 4 years part. Then you need to find two numbers that are 4 apart and that has one that is half the other, like 4 and 8. Finally, subtract two because this will happen in two years and you need their ages now.

Sorry if this was confusing.

The time needed for all college students to complete a certain paper-and-pencil maze follows a normal distribution with a population mean of 30 seconds and a population standard deviation of 3 seconds. You wish to see if the mean time μ (where μ stands for population mean) is changed by vigorous exercise, so you have a group of nine college students exercise vigorously for 30 minutes and then complete the maze. It takes them an sample average of 31.2 seconds to complete the maze. Use this information to test the hypotheses:

H0: μ = 30,

Ha: ≠30

at the significance level of 0.01.

You conclude:

a) There is not enough evidence to support the claim.

b) There is enough evidence to support the claim.

The correct option is a

Step-by-step explanation:

From the question we are told that

The population mean is

The standard deviation is

The sample size is  n  = 9

The null hypothesis is

The alternative hypothesis is

The level of significance is

The sample mean is

Generally the test statistics is mathematically represented as

=>

=>

From the z table  the area under the normal curve to the right corresponding to  1.2  is

Generally the p-value is mathematically represented as

=>

=>

From the value obtained w can see that

hence

The decision rule is

Fail to reject the null hypothesis

The conclusion is there is not enough evidence to support the claim

To test the hypotheses, use a one-sample t-test to compare the sample mean to the population mean. Calculate the t-value and compare it to the critical t-value at the significance level of 0.01. If the calculated t-value falls within the critical region, reject the null hypothesis. Otherwise, fail to reject the null hypothesis.

### Explanation:

To test the hypotheses, we can use a one-sample t-test since we know the population standard deviation and the sample size is small. The null hypothesis (H0) is that the population mean (μ) is equal to 30 seconds, while the alternative hypothesis (Ha) is that the population mean is not equal to 30 seconds.

Using the given information, we can calculate the t-value by using the formula:

t = (sample mean - population mean) / (population standard deviation / sqrt(sample size))

Once we have the t-value, we can compare it to the critical t-value at the significance level of 0.01. If the calculated t-value falls within the critical region, we reject the null hypothesis. If not, we fail to reject the null hypothesis and conclude that there is not enough evidence to support the claim.

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What is this equation????
m=y2-y1\y2-y1​

Are you sure it ia not x2 - x1 in the denominator?

x=2-y

Step-by-step explanation:

Root (2,0)

Vertical intercept (0,2)

The Arizona Department of Transportation wishes to survey state residents to determine what proportion of the population would like to increase statewide highway speed to 75 from 65 mph. At least how many residents do they need to survey if they want to be at least 99% confident that the sample proportion is within 0.07 of the true proportion?

Step-by-step explanation:

Since the prior estimate of population proportion is unknown , then we take p= 0.5

Given : Margin of error : E=0.07

Critical value for 99% confidence interval :

Formula for sample size :-

Hence, the minimum sample size required = 339

i.e. they need to survey 339 residents.

To be at least 99% confident that the sample proportion is within 0.07 of the true proportion, the Arizona Department of Transportation needs to survey at least 753 residents.

### Explanation:

To determine the minimum number of residents needed to survey in order to be at least 99% confident that the sample proportion is within 0.07 of the true proportion, we can use the formula:

n = (Zα/2)2p(1-p) / E2

Where:

• n is the required sample size
• Zα/2 is the critical value for the desired confidence level (in this case, 99% confidence)
• p is the estimated proportion (we assume 0.5 if no estimate is given)
• E is the maximum allowable error (in this case, 0.07)

Plugging in the values:

• Zα/2 = 2.576 (from the normal distribution table for a 99% confidence level)
• p = 0.5 (since no estimate is given)
• E = 0.07

Calculating n:

n = (2.576)2(0.5)(1-0.5) / (0.07)2 = 752.92

Rounding up to the nearest whole number, the Arizona Department of Transportation needs to survey at least 753 residents to be at least 99% confident that the sample proportion is within 0.07 of the true proportion.