All categories

3 years ago

Find the measure of x in each figure.

Mathematics

1 answer:

Alex3 years ago

8 0

Step-by-step explanation:

Because 2x and 40° are complementary angles.

$\therefore \: (2x) \degree + 40 \degree = 90 \degree \\ \\ \therefore \: (2x) \degree = 90 \degree - 40 \degree \\ \\ \therefore \: (2x) \degree = 50 \degree \\ \\ \therefore \: 2x = 50 \\ \\ \therefore \: x = \frac{50}{2} \\ \\ \huge \red{ \boxed{ \therefore \: x = 25}}$

You might be interested in

Aaron is 15 centimeters taller than Peter, and five times Aaron's height exceeds two times Peter's height by 525 centimeters.

Sergio [31]

The answer for this problem would be x equal to 430 cm and y is equal to 325. This is computed by establishing the equations. This first equation based on first statement would be x = 15 + y and the second would be 5x = 3y + 525. Then it is solve as follows:

5x = 3y + 525

4 0

3 years ago

Read 2 more answers

A public health official is planning for the supplyof influenza vaccine needed for the upcoming flu season. She wants to estimat

Marizza181 [45]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25$

And rounded up we have that n=421

Step-by-step explanation:

We know that the sample proportion have the following distribution:

$\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64$

The margin of error for the proportion interval is given by this formula:

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

And on this case we have that $ME =\pm 0.04$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

We assume that a prior estimation for p would be $\hat p =0.5$ since we don't have any other info provided. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25$

And rounded up we have that n=421

5 0

3 years ago

John and Beth plan to visit a bookstore. Based on their previous visits to this bookstore, the probability distributions for the

lora16 [44]

Answer:

D) 0.1250

Step-by-step explanation:

Let P(J) = Probability of John to purchase 0 books

Let P(B) = Probability of Beth to purchase 0 books

P(J∩B) = Probability that both john and Beth will purchase 0 books .ie. a total of 0 books is purchased.

Since the decisions to purchase books are two independents events,

P(J∩B) = P(J) * P(B)

P(J) = 0.5

P(B) = 0.25

P(J∩B) = 0.5 * 0.25

P(J∩B) = 0.125

8 0

3 years ago

Help me please I beg

valentina_108 [34]

Answer:

$8,500

Step-by-step explanation:

Interest = 5000 x 5 x 0.14

= 1000 x 0.14 x 25

= 140 x 25

= 3500

5000 + 3500 = 8500

8 0

2 years ago

Please this is your answer.

Effectus [21]

Answer:

10. it is correct it is 24

11. 21

Step-by-step explanation:

I could not see the answer but it should look like this:

11.6-3(3-[2-3]-10)-3

6-3(3-[-1]-10)-3

6-3(3-(-1)-10)-3

6-3(4-10)-3

6-3(-6)-3

6-(-18)-3

(6-(-18))-3

24-3

4 0

2 years ago

Read 2 more answers