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Tamiku [17]
3 years ago
15

Simplify the expression: (14 - 3a) + (5a+4) show work if u can

Mathematics
1 answer:
enot [183]3 years ago
4 0

Answer:

(2a + 18)

Step-by-step explanation:

Rearrange Terms

(14−3)+(5+4)

(−3+14)+(5+4)

Eliminate the brackets

(−3+14)+(5+4)

−3+14+5+4

Add the numbers

−3+14+5+4

−3+18+5

Combine like terms

−3+18+5

= 2+18

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Out of 200 people sampled, 52 had kids. Based on this, construct a 99% confidence interval for the true population proportion of
iragen [17]

Answer:

0.180144 < p < 0.339856

Step-by-step explanation:

According to the Question,

  • Given That, Out of 200 people sampled, 52 had kids, Thus the proportion of the mean is 52/200 = 0.26

⇒ standard error of the sample is square root(0.26 * (1-0.26) / 200) = 0.031

⇒alpha(a) = 1 - 99/100 = 0.01

⇒critical probability(p*) = 1 - a/2 = 0.995

⇒assuming a normal distribution, look for the z-score associated with 0.995 cumulative probability , z-score = 2.576

⇒margin of error(ME) = 2.576 * 0.031 = 0.079856

  • the confidence interval is 0.26 + or - 0.079856

0.180144 < p < 0.339856

3 0
3 years ago
The Length of one side of a parallelogram is 3 more than twice the length of the adjacent side. The perimeter of the parallelogr
katovenus [111]

Answer: 4 cm and 11 cm.


Step-by-step explanation:

1. You can calculate the perimeter of a parallelogram as following:

P=a+b+c+d

Where a+b+c+d are the lenghts of the sides.

By definition the parallelogram has two pairs of parallel sides, therefore:

a=c and b=d

Then, you can calculate the perimeter as following:

 P=2(a+b)

2. Let's call the adjacent side x, then the other side is 2x+3.

3. Substitute values  and solve for x:

30=2(x+2x+3)\\30=2(3x+3)\\30=6x+6\\24=6x\\x=4

4. Then the lenghts of the sides are:

x=4cm\\2x+3=2(4cm)+3=11cm


5 0
4 years ago
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Ivenika [448]

Answer:

B

Explanations

in this case the hypotenuse is 10,x is the adjacent side of the angle 37

therefore you have to use cos

cos37=x/10

x=7.9

=8

I hope this helps

3 0
3 years ago
W3=24<br> Question 4 options:<br><br> w = 8<br><br><br> w = 72<br><br><br> w = 12<br><br><br> w = 6
Umnica [9.8K]
The answer is w=8.....
5 0
3 years ago
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Whitepunk [10]

Answer:

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Step-by-step explanation:

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