Find the smallest value of pq if <br> -3

The ratio of the angle measures of a triangle is 1:3:5. Find the angle measures. Then classify the triangle by its angle measure

ExtremeBDS [4]

A triangle has 180 degrees. You can find the total sum of the ratio by adding its parts together 1+3+5 = 9 Now to find out what each part of the ratio is worth we divide the whole value (180) by the sum of the ratio parts (9)
180/9 = 20

Now we multiply each part of the ratio by 20
1 * 20 = 20
3 * 20 = 60
5 * 20 = 100

Since we have an angle greater than 90 degrees this is an obtuse triangle.

4 0

3 years ago

Find angle picture below

lesantik [10]

Answer:

T = 67.5

V = 22.5

Step-by-step explanation:

The Sum of triangle angles = 180

180 = W + T + V

180 = 90 + 3X + X

X = 22.5

4 0

3 years ago

As part of the Pew Internet and American Life Project, researchers conducted two surveys in late 2009. The first survey asked a

REY [17]

Answer:

The 95% confidence interval for the difference between the proportion of all U.S. teens and adults who use social networking sites is (0.223, 0.297). This means that we are 95% sure that the true difference of the proportion is in this interval, between 0.223 and 0.297.

Step-by-step explanation:

Before building the confidence interval we need to understand the central limit theorem and the subtraction of normal variables.

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 $s = \sqrt{\frac{p(1-p)}{n}}$

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Sample of 800 teens. 73% said that they use social networking sites.

This means that:

$p_T = 0.73, s_T = \sqrt{\frac{0.73*0.27}{800}} = 0.0157$

Sample of 2253 adults. 47% said that they use social networking sites.

This means that:

$p_A = 0.47,s_A = \sqrt{\frac{0.47*0.53}{2253}} = 0.0105$

Distribution of the difference:

$p = p_T - p_A = 0.73 - 0.47 = 0.26$

$s = \sqrt{s_T^2+s_A^2} = \sqrt{0.0157^2+0.0105^2} = 0.019$

Confidence interval:

Is given by:

$p \pm zs$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Lower bound:

$p - 1.96s = 0.26 - 1.96*0.019 = 0.223$

Upper bound:

$p + 1.96s = 0.26 + 1.96*0.019 = 0.297$

The 95% confidence interval for the difference between the proportion of all U.S. teens and adults who use social networking sites is (0.223, 0.297). This means that we are 95% sure that the true difference of the proportion is in this interval, between 0.223 and 0.297.

3 0

2 years ago

What is equivalent to -2(x5)

anzhelika [568]

-10x is the final answer
Hope this helps

3 0

3 years ago

What is the width of the ornament at the volume of 2664.31 cm (use 3.14 for)

Aloiza [94]

Answer:

33.6

Step-by-step explanation:

this is a circle

so

the area of a circle = pi x radius squared(since it's a 2-D shape)

but this is 3-D

so

V = 2664.31 = (4/3)( $\pi$ $r^{3}$ )

you could also use

A = ³√(36 * π * V²) when A is the surface area

but those are too long, so let us just use the answer choices

V = 3.14 x answer choice x radius sqaured

V = 3.14 x 8.6 x radius sqaured

2664.31 = 3.14 x 8.6 x radius sqaured

radius sqaured = 2664.31/3.14 x 8.6

radius sqaured = 2664.31/27.004

radius sqaured can't be made with this

lets skip V

radius sqaured = 2664.31/3.14 x 17.2

radius sqaured = 2664.31/54.008

since 27.004 didn't work, and 54.008 is 2 times as that

radius sqaured = 2664.31/3,14 x 33.6

radius sqaured = 2664.31/105.504 ≈ 25

25 square rooted is 5

so

33.6

3 0

2 years ago

Find the smallest value of pq if -3