Determine the value of x. x feet 14 feet 48 feet

If the radius of a circle is 10 feet, how long is the arc subtended by an angle measuring 81°?

Kaylis [27]

The length of an arc, L = theta/360 * 2 * pie * r Where theta = 81 and r = 10ft = 3.048m So length = 81/360 * 2 * pie * 3.048 L = * 0.225 * 2 * pie * 3.048 L = 1.37 * pie L = pie. Option A

4 0

3 years ago

A box contains 19 large marbles and 11 small marbles. Each marble is either green or white. 6 of the large marbles are green, an

Anastaziya [24]

9 because if you subtract 11 from 19 you het 9

4 0

3 years ago

"Which number can be inserted in the parentheses so the numbers are ordered from least to greatest?" -3,(),-1 1/8 A. -3 1/2 B. 0

-BARSIC- [3]

Answer:

Option C

Step-by-step explanation:

The first number is - 3, then we have a blank and the third number is - 1 1/8

In order for the numbers to be arranged from least to greatest, the number in the center should be greater than -3, and lesser than -1 1/8

Note that for negative numbers, the larger the constant, the smaller the number. i.e. -5 is smaller than -4.

So from the given options, the only number that is greater than -3 and lesser than -1 1/8 is - 2 1/4

So, option C gives us the correct answer to have the numbers ordered from least to greatest.

7 0

2 years ago

A study by the National Athletic Trainers Association surveyed random samples of 1679 high school freshmen and 1366 high school

nekit [7.7K]

Answer:

We conclude that there is no significant difference in the proportion of all Illinois high school freshmen and seniors who have used anabolic steroids.

Step-by-step explanation:

We are given that a study by the National Athletic Trainers Association surveyed random samples of 1679 high school freshmen and 1366 high school seniors in Illinois.

Results showed that 34 of the freshmen and 24 of the seniors had used anabolic steroids.

Let $p_1$ = proportion of Illinois high school freshmen who have used anabolic steroids.

$p_2$ = proportion of Illinois high school seniors who have used anabolic steroids.

SO, Null Hypothesis, $H_0$ : $p_1=p_2$ {means that there is no significant difference in the proportion of all Illinois high school freshmen and seniors who have used anabolic steroids}

Alternate Hypothesis, $H_A$ : $p_1\neq p_2$ {means that there is a significant difference in the proportion of all Illinois high school freshmen and seniors who have used anabolic steroids}

The test statistics that would be used here Two-sample z test for proportions;

T.S. = $\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }$ ~ N(0,1)

where, $\hat p_1$ = sample proportion of high school freshmen who have used anabolic steroids = $\frac{34}{1679}$ = 0.0203

$\hat p_2$ = sample proportion of high school seniors who have used anabolic steroids = $\frac{24}{1366}$ = 0.0176

$n_1$ = sample of high school freshmen = 1679

$n_2$ = sample of high school seniors = 1366

So, the test statistics = $\frac{(0.0203-0.0176)-(0)}{\sqrt{\frac{0.0203(1-0.0203)}{1679}+\frac{0.0176(1-0.0176)}{1366} } }$

= 0.545

The value of z test statistics is 0.545.

Since, in the question we are not given with the level of significance so we assume it to be 5%. Now, at 5% significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.

Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that there is no significant difference in the proportion of all Illinois high school freshmen and seniors who have used anabolic steroids.

3 0

2 years ago

Will give BRAINLIEST to the correct answer!!!

iren2701 [21]

Here is a key that showed up online

8 0

3 years ago

Read 2 more answers