2 - ( - 4.51) = ____________

Last year Brian opened an investment account with $5800. At the end of the year, the amount in the account decreased by 28.5%. H

Keith_Richards [23]

Answer:

It decreased by 1653$ and he ended up with 4147$

5 0

3 years ago

Angle e measures 126LaTeX: ^\circ∘. What is the measure of LaTeX: \angle∠h?

Oksana_A [137]

Option C: 126° is the correct answer

Step-by-step explanation:

When two lines intersect, the four angles are formed. The angles vertically opposite with same vertex are called vertical opposite angles.

The opposite vertical angles are equal.

In the given figure, the pairs of vertically opposite angles are e,h and f,g.

Given

∠e = 126°

The measurement of e and h will be equal as they are vertically opposite

So,

m∠e = m∠h

m∠h = 126°

Hence,

Option C: 126° is the correct answer

Keywords: Vertical angles, lines

Learn more about angles at:

#LearnwithBrainly

6 0

3 years ago

An elevator has a stated maximum capacity of 12 people or 2004 pounds. If 12 people have weights with a mean greater than (2004/

weqwewe [10]

Answer:

a) 0.6517; b) 0.9115; c) No

Step-by-step explanation:

For part a, we will use the formula for a z score of an individual:

$z=\frac{X-\mu}{\sigma}\\\\=\frac{167-182.9}{40.8}\\\\=\frac{-15.9}{40.8}\approx -0.39$

Using a z table, we see that the area under the curve to the left of this value is 0.3483. However, we want the probability greater than this, which is the area to the right of this value under the curve; this means we subtract from 1:

1-0.3483 = 0.6517

For part b, we will use the formula for a z score of the mean of a sample:

$z=\frac{\bar{X}-\mu}{\sigma \div \sqrt{n}}\\\\=\frac{167-182.9}{40.8\div \sqrt{12}}\\\\=\frac{-15.9}{40.8\div 3.4641}\\\\=\frac{-15.9}{11.778}\approx -1.35$

Using a z table, we see that the area under the curve to the left of this value is 0.0885. This means the area under the curve to the right of this value is

1-0.0885 = 0.9115

For part c,

The fact that the probability that any 12 men on the elevator will have a mean weight greater than 167, putting their total weight above 2004 pounds, is 91% means the elevator does not have the appropriate limit. There is a high chance the maximum will be exceeded.

8 0

3 years ago

Which statements are true about the ordered pair

Lostsunrise [7]

Answer:

-The ordered pair (-1, 5) is a solution to the first equation because it makes the first equation true.

-The ordered pair (-1, 5) is a solution to the second equation because it makes the second equation true.

-The ordered pair (-1, 5) is a solution to the system because it makes both equations true

Step-by-step explanation:

The correct question is

Which statements are true about the ordered pair (−1, 5) and the system of equations?

x+y=4

x−y=−6

we know that

If a ordered pair is a solution of a equation, then the ordered pair, must satisfy the equation (makes the equation true)

If a ordered pair is a solution of the system of equations, then the ordered pair, must satisfy the equations of the system (makes both equations true)

we have

$x+y=4$ ----> first equation