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3 years ago

What is AE ? Enter your answer in the box.

Mathematics

1 answer:

romanna [79]3 years ago

3 0

(2x+6)/10 = (x+6)/8
10(x+6) = 8(2x+6)
10x + 60 = 16x + 48
6x = 12
x = 2

so
AE = 2(2) +6
AE = 4 + 6
AE = 10

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While traveling to Europe phlegm exancheged 250 US dollars he spent 150 euros on his trip after returning to the United States h

anzhelika [568]

1euro = 1.3687 USD

So 150 Euros = 150*1.3687 USD

=205.305 USD

So he spent $205.305 USD on his trip.

He started off with $250 so to find the amount left we just take

250 - 205.305

= $44.695

Or 44 dollars and 69.5 cents. It's a weirdly exact amount, sure, but the question had a very precise exchange rate, so we'll assume this is fine.

4 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:

The question is incomplete. The complete question is:

"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 318 of the 520 men who were surveyed supported this proposed law while 379 of the 460 women sampled said ‘‘yes”. Use this information to find a 90% confidence interval for the difference in the two proportions, pm - pw. Subscript pm is the proportion of men who support the proposed law and pw is the proportion of women who support the proposed law. (Round answers to 3 decimal places.)"

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

2 years ago

The sum of three consecutive numbers is 12 find the numbers

snow_tiger [21]

Let x,y,z be those numbers.
x+y+z = 12
Since x,y,z are consecutive: y=x+1, and z = x+2
Let's replace y and z by their new values:
x+x+1+x+2=12
3x+3=12
You subtract 3 from each side to get variables on a side, and numbers on the other:
3x=9
You divide both sides by 3:
x=3

y=x+1 = 3+1 = 4
z=x+2 = 3+2 = 5

So the numbers are 3; 4 and 5.

You can re-check your answers (very important):
3+4+5 = 12
3;4;5 are consecutive numbers.
The answer has been approved.

Hope this Helps! :)

7 0

2 years ago

Suppose a-b=0 which one of these expressions equals ab

I am Lyosha [343]

Answer:

E) b^2

Step-by-step explanation:

Solving the first equation for a, we get ...

a - b = 0

a = b . . . . . . add b to both sides

Now, the expression ab can be rewritten as

ab = bb = b^2 . . . . . . substitute b for a

6 0

2 years ago

Greatest common factor of 4 and 19?

Llana [10]

Answer:

The greatest common factor of 4 and 19 is 1

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers