Ask question

Ask question

All categories

3 years ago

7

I have 2 similar right angle triangles, CDE and ADG. The length of CDE's hypotenuse is 1/3 the length of ADG's hypotenuse. The a

rea of CDE is 42. What is the area of ADG?

1 answer:

Orlov [11]3 years ago

8 0

<span>lengths are in ratio 1:3
areas are in ratio
1 : 3</span>²<span> = 1: 9
area of ADG = 9 x 42 = 378 </span>

You might be interested in

A thermometer reading 7 °C is brought into a room with a constant temperature of 34°C. If the thermometer reads 14 °C after 4 m

never [62]

For this case we are going to define the following variable:
x: time in minutes
We write the linear function that represents the problem:
t (x) = (14/4) x + 7
For x = 6 we have:
t (6) = (14/4) * (6) + 7
t (6) = 28 ° C
For x = 11 we have:
t (11) = (14/4) * (11) + 7
t (11) = 45.5 ° C
Answer:
t (6) = 28 ° C
t (11) = 45.5 ° C

6 0

3 years ago

It takes 45 minutes for 4 people to paint 5 walls how long does it take 6 people to paint 4 walls

Naily [24]

Answer:

54 Minutes

Step-by-step explanation:

45 minutes/5 walls/4 people=2.25 minutes per person per wall

2.25 times 6 times 4=54 minutes

3 0

3 years ago

Read 2 more answers

What is the midpoint of the segment below?

In-s [12.5K]

Answer:

Your answer is A.(7,3)

7 0

2 years ago

A survey reported in Time magazine included the question ‘‘Do you favor a federal law requiring a day waiting period to purchase

il63 [147K]

Answer:

The 90% confidence interval for the difference between proportions is (-0.260, -0.165).

Step-by-step explanation:

<em>The question is incomplete. The complete question is:</em>

<em>"A survey reported in Time magazine included the question ‘‘Do you favor a federal law requiring a 15 day waiting period to purchase a gun?” Results from a random sample of US citizens showed that </em><em>318 of the 520 men </em><em>who were surveyed supported this proposed law while </em><em>379 of the 460 women </em><em>sampled said ‘‘yes”. Use this information to find a </em><em>90% confidence interval</em><em> for the difference in the two proportions, </em><em>pm - pw.</em><em> </em><em>Subscript pm</em><em> is the proportion of men who support the proposed law and </em><em>pw</em><em> is the proportion of women who support the proposed law. (Round answers to 3 decimal places.)"</em>

We want to calculate the bounds of a 90% confidence interval.

For a 90% CI, the critical value for z is z=1.645.

The sample of men, of size nm=-0.26 has a proportion of pm=0.612.

$p_m=X_m/n_m=318/520=0.612$

The sample 2, of size nw= has a proportion of pw=0.824.

$p_w=X_w/n_w=379/460=0.824$

The difference between proportions is (pm-pw)=-0.212.

$p_d=p_m-p_w=0.612-0.824=-0.212$

The pooled proportion, needed to calculate the standard error, is:

$p=\dfrac{X_m+X_w}{n_m+n_w}=\dfrac{318+379}{520+460}=\dfrac{697}{980}=0.711$

The estimated standard error of the difference between means is computed using the formula:

$s_{pm-pw}=\sqrt{\dfrac{p(1-p)}{n_m}+\dfrac{p(1-p)}{n_w}}=\sqrt{\dfrac{0.711*0.289}{520}+\dfrac{0.711*0.289}{460}}\\\\\\s_{pm-pw}=\sqrt{0.00039+0.00045}=\sqrt{0.001}=0.029$

Then, the margin of error is:

$MOE=z \cdot s_{pm-pw}=1.645\cdot 0.029=0.0477$

Then, the lower and upper bounds of the confidence interval are:

$LL=(p_1-p_2)-z\cdot s_{p1-p2} = -0.212-0.0477=-0.260\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= -0.212+0.0477=-0.165$

The 90% confidence interval for the difference between proportions is (-0.260, -0.165).

6 0

3 years ago

What is the answer to the question?

Marizza181 [45]

Substitute the given number into the equation

Sum = 180(15-2)

Solve brackets

180(13)

Which is equal to 2340

So, the sum of interior angles is 2340 degrees

5 0

2 years ago