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3 years ago

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Simplify the following:

-16-8x%29%7D%7B-2%20-x%7D" id="TexFormula1" title="\frac{-1(-8x - 16)}{-2 -x} = \frac{-1(-16-8x)}{-2 -x}" alt="\frac{-1(-8x - 16)}{-2 -x} = \frac{-1(-16-8x)}{-2 -x}" align="absmiddle" class="latex-formula">

1 answer:

lianna [129]3 years ago

3 0

They both came out as =-8

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Triangle ABC is shown below.

Andrew [12]

Answer:

C.) 14

Step-by-step explanation:

Look at the triangle: angles b and c have the same arch, so they are congruent.

In a triangle, if two angles are congruent, then the triangle is isosceles, having two equal sides.

The sides opposite the congruent angles are congruent:

∠B → opposite side → AC

∠C → opposite side → AB

The sides AB and AC are equal. Make an equation:

$AB=AC\\\\2x=3x-7$

Simplify the equation, solving for x. Add 7 to both sides:

$2x+7=3x-7+7\\\\2x+7=3x$

Subtract 2x from both sides:

$2x-2x+7=3x-2x\\\\7=x$

The value of x is 7. Insert the value of x into the given length of AC:

$AC=3(7)-7$

Simplify multiplication:

$AC=21-7$

Subtract:

$AC=14$

Therefore, the length of the line segment AC is 14.

:Done

8 0

3 years ago

Mrs. Reed collects shells. Each shell in her collection weighs about 4 ounces. Her collection weighs about 12 pounds in all. Abo

Mariana [72]

Answer:

There are about 48 shells in Mrs. Reeds collection.

Step-by-step explanation:

There are 16 ounces per 1 pound.

4 ounces per shell.

16 x 12 = 192 ounces

192 ounces divided by 4 = 48

8 0

3 years ago

Scores on a university exam are Normally distributed with a mean of 78 and a standard deviation of 8. The professor teaching the

mafiozo [28]

Answer:

Porcentage of students score below 62 is close to 0,08%

Step-by-step explanation:

The rule

68-95-99.7

establishes:

The intervals:

[ μ₀ - 0,5σ , μ₀ + 0,5σ] contains 68.3 % of all the values of the population

[ μ₀ - σ , μ₀ + σ] contains 95.4 % of all the values of the population

[ μ₀ - 1,5σ , μ₀ + 1,5σ] contains 99.7 % of all the values of the population

In our case such intervals become

[ μ₀ - 0,5σ , μ₀ + 0,5σ] ⇒ [ 78 - (0,5)*8 , 78 + (0,5)*8 ] ⇒[ 74 , 82]

[ μ₀ - σ , μ₀ + σ] ⇒ [ 78 - 8 , 78 +8 ] ⇒ [ 70 , 86 ]

[ μ₀ - 1,5σ , μ₀ + 1,5 σ] ⇒ [ 78 - 12 , 78 + 12 ] ⇒ [ 66 , 90 ]

Therefore the last interval

[ μ₀ - 1,5σ , μ₀ + 1,5 σ] ⇒ [ 66 , 90 ]

has as lower limit 66 and contains 99.7 % of population, according to that the porcentage of students score below 62 is very small, minor than 0,15 %

100 - 99,7 = 0,3 %

Only 0,3 % of population is out of μ₀ ± 1,5 σ, and by symmetry 0,3 /2 = 0,15 % is below the lower limit, 62 is even far from 66 so we can estimate, that the porcentage of students score below 62 is under 0,08 %

6 0

3 years ago

WILL MARK BRANLIEST, FOLLOW YOU, AND SAY UR THE BEST ON UR PROFILE

MAXImum [283]

Question 1
*-24

question 2
*D

question 3
*B

question 4
*look at the picture

6 0

3 years ago

Dan invests £18790 into his bank account. He receives 5,3% per year simple

earnstyle [38]

Answer:

697109 pennies

Step-by-step explanation:

First, you use the formula A = P (1 + rt).

R= rate which is 5.3%

T= time which is 7 years.

P is the principle which is 18790

A= is the answer

so first you multiply 7*5.3% which you get 0.371

then you multiply that with 18790 which then you get 6971.09

if you want pennies you multiply it with 100 to get 697109

6 0

3 years ago