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3 years ago

HELP PLEASE!! NO LINKS!! GIVING 20 POINTS AWAY!!

Mathematics

2 answers:

Marat540 [252]3 years ago

6 0

Answer:

See below

Step-by-step explanation:

The measure of all the arcs can be obtained by using 'Central angle and its corresponding arc theorem'.

1. The measure of arc AD is $\boxed {105}\degree$

2. The measure of arc ABC is $\boxed {205}\degree$

3. The measure of arc ADB is $\boxed {190}\degree$

4. The measure of arc BD is $\boxed {85}\degree$

kap26 [50]3 years ago

5 0

It adds up to 360.
35 + 50 + 105 = 190
360 - 190 = 170

You might be interested in

Raina drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 6 hours. When Raina drove

Nostrana [21]

Answer: Raina's distance from the mountains is 176 miles

Step-by-step explanation:

Let x represent her average rate on the trip to the mountains.

If her average rate was 22 miles per hour faster on the trip home, it means that her average rate on the trip home is (x + 22) mph

Distance = speed × time

There was heavy traffic on the way there, and the trip took 6 hours. This means that the distance on her way to the mountain is 6x

When Raina drove home, there was no traffic and the trip only took 4 hours. This means that the distance on her way to home is

4(x + 22)

Since the distance covered is the same, then

6x = 4(x + 22) = 4x + 88

6x - 4x = 88

2x = 88

x = 88/2

x = 44

Raina's distance from the mountains is

6 × 44 = 176 miles

6 0

3 years ago

A fitness center is interested in finding a 90% confidence interval for the mean number of days per week that Americans who are

Blababa [14]

Answer:

A. Normal

B. Between 2.078 and 2.722 visits.

C. About 90 percent of these confidence intervals will contain the true population mean number of visits per week and about 10 percent will not contain the true population mean number of visits per week.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

Question A:

By the Central Limit Theorem, normal.

Question B:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.05 = 0.95$ , so Z = 1.645.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.645\frac{2.9}{\sqrt{219}} = 0.322$

The lower end of the interval is the sample mean subtracted by M. So it is 2.4 - 0.322 = 2.078 visits

The upper end of the interval is the sample mean added to M. So it is 2.4 + 0.322 = 2.722 visits.

Between 2.078 and 2.722 visits.

Question c:

90% confidence level, so 90% will contain the true population mean, 100 - 90 = 10% wont.

About 90 percent of these confidence intervals will contain the true population mean number of visits per week and about 10 percent will not contain the true population mean number of visits per week.

5 0

3 years ago

¿Cuál es el valor de la siguiente expresión: + − − + − + + ?

scoray [572]

Answer:

+-+-+-

Step-by-step explanation:

5 0

3 years ago

PLEASE HELP! TRIG! 7 points! I really need help

Nana76 [90]

By the law of sines,