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marshall27 [118]
3 years ago
9

Help please?

Mathematics
1 answer:
romanna [79]3 years ago
8 0

Answer: It would take 9 hours for 4 painters to paint 720 feet of fence.

Step-by-step explanation:

1.) Calculate the time needed to paint the 720 ft fence with 2 painters.

    a.) Divide 720 by 280 to get how many times greater 720 is than 280.

         720 / 280 ≈ 2.57

    b.) Multiply the time needed to paint the 280 ft fence with 2 painters by 2.57.

         7 * 2.57 ≈ 18

2.) Calculate the time needed to paint the 720 ft fence with 4 painters.

   a.) Assuming that each painter paints the same amount of fence, divide the time in half, as 4 painters is double the original amount, so it would take half of the time.

       18 / 2 = 9

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Several years​ ago, 39​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students r
BaLLatris [955]
<h2>Answer with explanation:</h2>

Let p be the population proportion  of parents who had children in grades​ K-12 were satisfied with the quality of education the students receive.

Given : Several years​ ago, 39​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students receive.

Set hypothesis to test :

H_0: p=0.39\\\\H_a :p\neq0.39

Sample size : n= 1055

Sample proportion : \hat{p}=\dfrac{466}{1055}=0.441706161137\approx0.44

Critical value for 95% confidence : z_{\alpha/2}=1.96

Confidence interval : \hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}

0.44\pm (1.96)\sqrt{\dfrac{0.39(1-0.39)}{1055}}\\\\0.44\pm0.0299536805135\\\\0.44\pm0.03\\\\=(0.44-0.03, 0.44+0.03)\\\\=(0.41,\ 0.47)

Since , Confidence interval does not contain 0.39.

It means we reject the null hypothesis.

We conclude that 95​% confidence interval represents evidence that​ parents' attitudes toward the quality of education have changed.

8 0
4 years ago
PLEASE ANSWER ASAP WILL GOVE BRAINLYIEST
kirza4 [7]

Answer:

Proved that GB ≅ AH.

Step-by-step explanation:

See the attached diagram.

Statement 1: ∠ GBH ≅ ∠ AHB  

Reason 1: This is given.

Statement 2: ∠ GHB ≅ ∠ ABH

Reason 2: This is also given.

Statement 3: BH ≅ HB.

Reason 3: From the diagram. Reflexive property of congruence.

Statement 4: Δ GBH ≅ Δ AHB

Reason 4: By Angle-Side-Angle or ASA criteria of congruency.

Statement 5: GB ≅ AH  

Reason 5: Corresponding sides of two congruent triangles. (Proved)

5 0
3 years ago
Write an equation of the line below.
pochemuha
Y=mx+b is the equasion of a line.
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Scott drove 406 miles in 7 hours.<br> At the same rate, how many miles would he drive in 11 hours?
bixtya [17]

Answer:

It would take him 12 hours to drive 696 miles

Step-by-step explanation:

hope this helps!!

8 0
3 years ago
A vet borrows $12,000 for 4 years. The total interest paid was $960. What was the interest rate on the loan?
Alchen [17]

Answer:

2% per year.

Step-by-step explanation:

Solving our equation

r = 960 / ( 12000 × 4 ) = 0.02

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The interest rate required to

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3 years ago
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