How can you express (15 + 30) as a multiple of a sum of whole numbers with no common factor? 2 × (7.5 + 15)+

Put the following equation of a line into slope-intercept form, simplifying all fractions. 4y - 4x -32

MariettaO [177]

Answer:

y=-4x+4x-32

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

The Resource Conservation and Recovery Act mandates the tracking and disposal of hazardous waste produced at U.S. facilities. Pr

aniked [119]

Answer:

(a) $E(X) = 0.383$

The expected number in the sample that treats hazardous waste on-site is 0.383.

(b) $P(x = 4) = 0.000169$

There is a 0.000169 probability that 4 of the 10 selected facilities treat hazardous waste on-site.

Step-by-step explanation:

Professional Geographer (Feb. 2000) reported the hazardous waste generation and disposal characteristics of 209 facilities.

N = 209

Only eight of these facilities treated hazardous waste on-site.

r = 8

a. In a random sample of 10 of the 209 facilities, what is the expected number in the sample that treats hazardous waste on-site?

n = 10

The expected number in the sample that treats hazardous waste on-site is given by

$E(X) = \frac{n \times r}{N}$

$E(X) = \frac{10 \times 8}{209}$

$E(X) = \frac{80}{209}$

$E(X) = 0.383$

Therefore, the expected number in the sample that treats hazardous waste on-site is 0.383.

b. Find the probability that 4 of the 10 selected facilities treat hazardous waste on-site

The probability is given by

$P(x = 4) = \frac{\binom{r}{x} \binom{N - r}{n - x}}{\binom{N}{n}}$

For the given case, we have

N = 209

n = 10

r = 8

x = 4

$P(x = 4) = \frac{\binom{8}{4} \binom{209 - 8}{10 - 4}}{\binom{209}{10}}$

$P(x = 4) = \frac{\binom{8}{4} \binom{201}{6}}{\binom{209}{10}}$

$$ P(x = 4) = \frac{70 \times 84944276340}{35216131179263320}$

$P(x = 4) = 0.000169$

Therefore, there is a 0.000169 probability that 4 of the 10 selected facilities treat hazardous waste on-site.

8 0

2 years ago

What is fraction equivalent to 4/4? explain how you know

Helen [10]

Answer:

1, 2/2, 3/3, 5/5, etc.

Step-by-step explanation:

4/4 is a whole number because it's four over four. It can be any number that has the same number on top of it, or one.

I hoped this is what you wanted.

^_^

8 0

2 years ago

Mrs.Silva orders 5 pizzas for every 20 students working on the campus clean up. How many pizzas should she order if 48 students

erica [24]

Answer:

She should order 12 pizzas.

Step-by-step explanation:

5 pizza for every 20 students gives us the ratio 5:20.

5/20 = 0.25 = the amount of pizza each student gets.

If there are 48 students, you would just multiply 0.25 * 48 to get your answer.

3 0

2 years ago

ABCD ≅ FGHJ. Find the measure of the given angles or lengths of the given sides. CD = 2x + 3; HJ = 3x + 2.

xenn [34]

The question asks for the length of CD and HJ. To find those, we need to find a connection between them.

In the given statement, it says ABCD ≅ FGHJ. When we look at the equation, the corresponding letters are equal. For example, angle A is congruent to Angle F. Or BC ≅ GH.

So we know that CD and HJ are congruent.
Set them equal:
$2x + 3 = 3x + 2$
Subtract 2x from both sides:
$3 = x + 2$
Subtract 2 from both sides:
$x = 3$
If x is 3, plug it in:
$3(3) + 2$
Simplify:
$9 + 2 = 11$

So, HJ is 11. And because HJ ≅ CD, CD is 11 too.

3 0

2 years ago