All categories

3 years ago

Please answer correctly this is for a test plus you get 10 points

Mathematics

1 answer:

Korvikt [17]3 years ago

8 0

The answer to the question is 112°

First, you must set up an equation to find x.

$2(3x+10)+2(2x)=360\\$

Then, you must use distributive property to simplify the parentheses.

$6x+20+4x=360$

Next, add like terms.

$10x+20=360$

Then, subtract 20 on each side.

$10x=340$

Next, divide 10 on each side.

$x=34$

Now, you must substitute 34 in for x.

$3x+10$

$3(34)+10$

$3(34)+10=112$

You might be interested in

listen

ch4aika [34]

Answer:

Step-by-step explanation:

easy

6 0

3 years ago

Read 2 more answers

If PQR-PWW, find the length of PW. PLS I NEED THE ANSWER ASAP

Mila [183]

6/12 = 1/2
x/22 = 1/2
2x = 22
x = 11

length of PW = 11

8 0

3 years ago

What is the value of x?

Dmitry_Shevchenko [17]

The exterior angles of a triangle always add up to 360, so 360 - 130 - 134 = 96

X=96

6 0

3 years ago

In a survey of 1000 randomly selected adults in the United States, participants were asked what their most favorite and what the

xenn [34]

Answer:

(a) The 95% confidence interval for the population proportion of US adults for whom math was their most favorite subject is (0.204, 0.256).

(b) The 95% confidence interval for the population proportion of US adults for whom math was their least favorite subject is (0.34, 0.40).

Step-by-step explanation:

The questions are:

(a) Construct and interpret a 95% confidence interval for the proportion of US adults for whom math was their most favorite subject.

(b) Construct and interpret a 95% confidence interval for the proportion of US adults for whom math was their least favorite subject. Solution:

(a)

The 95% confidence interval for the population proportion is:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

Th information provided is:

n = 1000

Number of US adults for whom math was their most favorite subject

= X

= 230

Compute the sample proportion of US adults for whom math was their most favorite subject as follows:

$\hat p=\frac{230}{1000}=0.23$

The critical value of z for 95% confidence interval is:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

Compute the 95% confidence interval for the population proportion of US adults for whom math was their most favorite subject as follows:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

$=0.23\pm 1.96\sqrt{\frac{0.23(1-0.23)}{1000}}\\=0.23\pm 0.0261\\=(0.2039, 0.2561)\\\approx (0.204, 0.256)$

Thus, the 95% confidence interval for the population proportion of US adults for whom math was their most favorite subject is (0.204, 0.256).

(b)

The 95% confidence interval for the population proportion is:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

Th information provided is:

n = 1000

Number of US adults for whom math was their least favorite subject

= X

= 370

Compute the sample proportion of US adults for whom math was their least favorite subject as follows:

$\hat p=\frac{370}{1000}=0.37$

The critical value of z for 95% confidence interval is:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

Compute the 95% confidence interval for the population proportion of US adults for whom math was their least favorite subject as follows:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

$=0.37\pm 1.96\sqrt{\frac{0.37(1-0.37)}{1000}}\\=0.37\pm 0.0299\\=(0.3401, 0.3999)\\\approx (0.34, 0.40)$

Thus, the 95% confidence interval for the population proportion of US adults for whom math was their least favorite subject is (0.34, 0.40).

8 0

3 years ago

What are the domain and range of each relation?

ANEK [815]

Answer:

C for the graph:

Domain:{-3,-1,0,3}

Range:{-1,0,1,2,3}

A for the table:

Domain:{-2,0,2,4}

Range:{-3,-1,0}

Step-by-step explanation:

For the graph:

The Domain is moving across the graph horizontally, the Range is moving up the graph vertically.

It has to be C because when moving across it starts with -3 and ends with 3, and no other answer choice says that. Also when moving up, it starts with -1 and ends with 3, and no other choice but C does that.

Now for the table:

The range is the y values and the domain is the x values.

A is the only choice where the y values match the range and the x values match the domain.

Hope this helps

3 0

4 years ago