All categories

3 years ago

Find the measure of the missing angle.

Mathematics

1 answer:

natulia [17]3 years ago

6 0

Answer:

x = 76

Step-by-step explanation:

The inscribed angle x is half the measure of its intercepted arc.

x = $\frac{1}{2}$ × (102 + 50) = 0.5 × 152 = 76

You might be interested in

Students in a statistics class are conducting a survey to estimate the mean number of units students at their college are enroll

Papessa [141]

Answer:

The 95% confidence interval for the average number of units that students in their college are enrolled in is between 11.7 and 12.5 units.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution 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 = 45 - 1 = 44

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 44 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 2\frac{1.5}{\sqrt{45}} = 0.4$

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 12.1 - 0.4 = 11.7 units

The upper end of the interval is the sample mean added to M. So it is 12.1 + 0.4 = 12.5 units

The 95% confidence interval for the average number of units that students in their college are enrolled in is between 11.7 and 12.5 units.

8 0

3 years ago

There are 140 calories in a 1/3 pack of m&ms . How many calories are in 2 packs of m&ms

Shalnov [3]

840 answer C hdbdncodbdbskd

4 0

3 years ago

True or false: the lateral surface of cone a is exactly 1/2 the lateral surface area of cylinder b

Mazyrski [523]

Answer:

True

Step-by-step explanation:

We have that,

The cone A has the length of the lateral side = h and the height of the cylinder B = h.

Since, the lateral surface areas are given by,

Lateral surface area of cone = $\pi r\times l$ , where l is the length of the lateral side.

So, we get $L_{A}$ = $\pi r\times h$ .

Also, Lateral surface area of cylinder is $2\pi r\times h$ , where h is the height of the cylinder.

So, we get $L_{B}$ = $2\pi r\times h$

Thus, we see that, $L_{A}=\frac{1}{2}\times L_{B}$

Hence, the given statement is correct.

6 0

3 years ago

The volume of a sphere is 36 ft.3 What is the radius of the sphere? Use

noname [10]

Answer:

828382772

Step-by-step explanation:

do it your self

hope this help

5 0

3 years ago

The average height of a 13 year old male in the U.S. is 60 inches, with a standard deviation of 2 inches. The average weight of

Romashka [77]

Since the average height is 60 inches and its deviation is 2 inches, one deviation to the right (or higher) is 62 inches (60 + 2). Two deviations is 64 inches, three deviations is 66 inches, and four deviations is 68 inches.

Since the average weight is 100 pounds and its deviation is 5 inches, we repeat the process from finding heights to get to 115 pounds. That takes three deviations.

The MORE deviations away, the more unusual it is. So the height (4 deviations) is more unusual than the weight (3 deviations).

5 0

3 years ago

Read 2 more answers