Parents of children with developmental disorders can apply for federal funding for psychosocial rehabilitation. A government sociologist wants to know what percentage of applicants for this funding are in poverty. She obtains access to all their applications, groups the applications by state, and takes a simple random sample from each state's applications. Identify the population of interest to the sociologist.

a. Applicants for the federal funding who were in poverty
b. Applicants for the federal funding
c. Applicants who received the federal funding
d. Applicants whose applications were examined

The distance from point (15,-21) to the line 5x + 2y = 4 is 27.5 units

Given the coordinate (15, -21) and the line 5x + 2y = 4

In order to get the point on the line 5x + 2y =4, we can a point on the line

Let x = 0

5(0) + 2y = 4

2y = 4

y = 2

The point (0, 2) is on the line.

Find the distance between the point (15, -21) and (0, 2) using the distance formula

[tex]D=\sqrt{(2+21)^2+(0-15)^2} \\D=\sqrt{23^2+15^2}\\D=\sqrt{754}\\D= 27.46units[/tex]

Hence the distance from point (15,-21) to the line 5x + 2y = 4 is 27.5 units

Learn more here: https://brainly.com/question/22624745

Answer:

C.

Step-by-step explanation:

4(x + 1) + 7(x + 3)= 4*x+4*1 + 7*x+7*3 = 4x+4 +7x +21 = 11x + 25

C

Step-by-step explanation:

4x+4+7x+21

11x+25

you have to combine like terms

Answer: Choice A

Work Shown:

[tex]m = \text{geometric mean of x and y}\\\\m = \sqrt{x*y}\\\\m = \sqrt{18*7}\\\\m = \sqrt{9*2*7}\\\\m = \sqrt{9}*\sqrt{2*7}\\\\m = 3\sqrt{14}\\\\[/tex]

Answer:

Domain- [0,7], Range- [0,20]

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. Wear safety glasses

2. Be accompanied by an adult

3. Wear proper lab clothing

4. Alert Lab instructor if an accident were to happen

5. Follow all instructions given by lab instructor

Answer:

Mixed Number = 2 9/10

Improper Fraction = 29/10

Step-by-step explanation:

Mixed Number = 29/10 = 2 9/10

Improper Fraction = 29/10

Answer:

1. 24 qt

2. 200 people

Step-by-step explanation:

1. Use a proportion.

1.5 qt to 8 people = x qt to 128 people

1.5/8 = x/128

Cross multiply.

8x = 1.5 × 128

8x = 192

x = 24

Answer: 24 qt

2.

5/9 of number of people have a season pass.

number of people at pool = 360

5/9 × 360 = 200

Answer: 200 people

Answer:

6

Step-by-step explanation:

yeah-ya ............... right?

Answer: 6

Step-by-step explanation:

13 + 3 × n = 31

n represents unknown number

13 + 3n = 31

-13           -13

3n = 18

/3      /3

n=6

Answer:

A is correct good luck bud

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Hi do you have a photo? i’m confused with the listing

Step-by-step explanation:

The conversion for parsecs into meters is

1 parsec (pc) = [tex]3.09×10^{16}\:\text {m}[/tex]

So if Proxima Centauri is [tex]4×10^{13}\:\text{m}[/tex] away, then in terms of parsecs, this distance is

[tex]4×10^{13}\:\text{m}×\left(\dfrac{1\:\text{parsec}}{3.09×10^{16}\:\text{m}}\right)[/tex]

[tex]\;\;\;\;\;= 1.2×10^{-3}\:\text{parsec}[/tex]

what is the situation to your question

Answer:

What is the situation?

Step-by-step explanation:

aight slide it here big boy

Answer:

24.0

Step-by-step explanation:

do 34sin(45) to solve for x

Answer:

x = 6 2/3     The supplementary pair of angle is 78 degree and z = 112degree  = 180 degree  First step is where we can also see z its opposite angle is vertical opposite angle to 112 degree given and label as vertical angle - where we see a line through the 180 degree line at any angle we can call the pair supplementary-   Pairs OR sets of angles an only be called consecutive when they are grouped with a set of parallel line across a straight line and it is only because they add up to 180 they could be either terms so as there isn't parallel shown ; we know we an call a pair of angles upon a straight line supplementary.angles.

Step-by-step explanation:

6 x +38 (+112) = 180 degree as angles on a straight line add up to 180   6 x +38 (+112) = 180    6 x +140 = 180  6 x + 140- 140 = 180-140      6 x  = 40   x = 40/6  x = 6.66666667    x = 6 2/3   Proof  (6( 6 2/3)) + 38 + 112 = 180     = (40+38)+112 = 180 = 78 +112 = 180   Proves the supplementary angle is 78 degree.

Answer:

-3x^3 + 9x^2 + 7x + 20

Step-by-step explanation:

this is the expression simplified

Answer:

240oz.

Step-by-step explanation:

15oz=1batch

She needs 16 batches.

15oz. x 16batches = 240oz.

Hope this helps :)

Answer:

  58 in

Step-by-step explanation:

The fact that the rectangles are congruent means both have a length of 18 in and a width of 11 in. The perimeter is ...

  P = 2(L +W)

  P = 2(18 in + 11 in) = 2(29 in)

  P = 58 in

The perimeter of KHGJ is 58 inches.

Answer:

s> 144 2/3

Step-by-step explanation:

I took the test in k12 and i got it right so yea !

Answer: the other person was right

Step-by-step explanation:

Answer:b equals T minus a minus c minus d all over 3 ⇒ 3rd answer

Step-by-step explanation:

- Tisha and her academic team have had three local matches

# Assume that the points of the local matches are a , c , d

- They will attend a district match

- District match points count for three times the number of points

 than local matches do

# Assume that the points of the district match is b

- T is the total points they will earned in the four matches

∵ The points in the local matches are a , c , d

∵ The point in district mach is 3b

∴ T = a + c + d + 3b

* Lets find b in terms of a , c , d , T

∵ T = a + c + d + 3b

- Subtract a from both sides

∴ T - a = c + d + 3b

- Subtract c from both sides

∴ T - a - c = d + 3b

- Subtract d from both sides

∴ T - a - c - d = 3b

- Divide both sides by 3

∴  

∴ b equals T minus a minus c minus d all over 3

Answer:

  2.308×10^8

Step-by-step explanation:

Your calculator can tell you what the difference is.

  2.4×10^8 -9.2×10^6 = (2.4 -0.092)×10^8 = 2.308×10^8

_____

Additional comment

If this is a problem where you're expected to round the answer to an appropriate number of significant figures, you will notice the largest contributor has a resolution of 0.1×10^8. That will be the resolution required in the answer: 2.3×10^8.

Answer:

The domain of f–1(x) is all real numbers and the range is all real numbers greater than 0.

Step-by-step explanation:

B u A = 48

B = 45

The part of set B not included in A is B - A∩B  = 45 - 7 = 38

Since B u A = 48,  A must have 48-38 = 10 elements (3 exclusive of B, 7 shared with B).

------

Alternatively, the inclusion-exclusion principle may be used:   A  +  B  - (A ∩ B) = A u B  

  A + 45 - 7 = 48

  A  = 48 - 45 + 7  

   A = 10

NOTE that I'm using A and B  to indicate the number of elements in each set, respectively.

More formally, one would write |A|  and |B| to indicate the cardinality (number of elements) of the set.

Answer:

Just in case you want me to answer all the questions, I will

Step-by-step explanation:

Question 1): answer is 25

Question 2): answer is 24

Question 3): answer is 100%

24/25 = 96/100

Box Question 1): 21/25 = 84/100

Box Question 2): 15/20 = 75/100

Box Question 3): 47/50 = 94/100

Box Question 4): 28/30 = 93.3/100

Box Question 5): 19/45 = 42.2/100

Box Question 6): 3/4 = 75/100

If a digit is underlined, put a line ONLY over the underlined digit, it is repeating

I'm not completely sure if this is correct, but I really think it is..

I hope this helps!

Answer:

C. $18,000

Step-by-step explanation:

Given that her semimonthly salary is $750, find her yearly salary.

Semimonthly means twice a month, meaning that she will receive 24 paychecks every year.

750x24=18,000

=$18,000

Hope this helps :)

Answer:

1/4 in 3/7th of an hour

1/4 = 3/7

multiply by 4

1 (whole room) = 12/7 (of an hour)

Answer:

12/7 of an hour

Step-by-step explanation:

I couldnt do the asnwer earlier but here it is the person above gave the answer worked out

[tex] \frac{1}{2} \: to \: the \: power \: of \: 5 \: is \: \frac{1}{32} or \: 0.03125 [/tex]

Answer:

[tex] \ {\boxed{ \tt ( \frac{1}{2}) ^{5} = \frac{1}{32} }}[/tex]

Step-by-step explanation:

[tex] \\ \tt( \frac{1}{2} )^{5} [/tex]

[tex] \\ \tt= \frac{ {1}^{5} }{ {2}^{5} } [/tex]

[tex] \\ \tt = \frac{1 \times 1 \times 1 \times 1 \times 1}{2 \times 2 \times 2 \times 2 \times 2} [/tex]

[tex] \\ \tt = \frac{1}{32} [/tex]

Answer:

-18

Step-by-step explanation:

just divide 378 by 21 to get the missing integer:18

since multiplying 2 negatives makes a positive, the same applies for division, so it would be -18

Answer:

-11 boys -6 girls

Step-by-step explanation: