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4 years ago

7

The rectangle below has an area of x^2-16 meters and the width of x+4 meters what expression represents the length of the rectan

gle

1 answer:

Karolina [17]4 years ago

5 0

L=A/W so

L=(x^2-16)/(x+4) factoring the numerator...

L=((x+4)(x-4))/(x+4) (x+4)s cancel leaving..

L=x-4

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Simplify this expression, you are y years old. Your sister is 3 years older than you. Your uncle is 4 times older than your sist

uysha [10]

Answer:The simplified expression that represents the uncle's age is

4y + 12

Step-by-step explanation:

Let y represent your age.

Your sister is 3 years older than you. This means that your sister's age is y + 3

Your uncle is 4 times older than your sister. It means that the age of your uncle would be

4(y + 3)

The simplified expression that represents your uncle's age would be

4y + 12

8 0

4 years ago

Use the sample data and confidence level to construct the confidence interval estimate of the population proportion p. n equals

Alekssandra [29.7K]

Answer:

(0.767,0.833)

Step-by-step explanation:

The 95% confidence interval for population proportion p can be computed as

$p-z_{\frac{\alpha }{2} } \sqrt{\frac{pq}{n} }$

The z-value associated with 95% confidence level is 1.96.

whereas p=x/n

We are given that x=440 and n=550.

p=440/550=0.8

$0.8-1.96\sqrt{\frac{0.8(0.2)}{550} }$

$0.8-1.96\sqrt{\frac{0.16}{550} }$

$0.8-1.96\sqrt{0.00029 }$

$0.8-1.96(0.01706)$

$0.8-0.03343$

$0.76657$

Thus, the required confidence interval is

0.767<P<0.833 (rounded to 3 decimal places)

Hence, we are 95% confident that our true population proportion will lie in the interval (0.767,0.833)

3 0

3 years ago

Kiran scored 36 baskets in 1 week. She scored 1/2 of the baskets on the weekend. She scored 1/4 of them on Tuesday, she scored 1

notka56 [123]

Answer:

6 baskets did Kiran score on Thursday

Step-by-step explanation:

As per the statement:

Kiran scored 36 baskets in 1 week.

On weekend she scored = $\frac{1}{2} \cdot 36 = 18$ baskets.

She scored 1/4 of them on Tuesday

⇒On Tuesday she scored = $\frac{1}{4} \cdot 36 = 9$ baskets

She scored 1/12 of them on Wednesday

⇒On Wednesday she scored = $\frac{1}{12} \cdot 36 = 3$ baskets.

Then;

She scored = On Weekend + On Tuesday + On Wednesday = 18+9+3 = 30 baskets.

Rest on Thursday she scored = 36 - 30 = 6 baskets.

Therefore, 6 baskets did Kiran score on Thursday

8 0

3 years ago

Which is the best estimate of the circumference of this circle?

Ann [662]

Answer:

To what circle?mm

Step-by-step explanation:

any pictures?

6 0

3 years ago

49 7th graders and 35 8th graders show up at football tryouts choose a ratio that represents 7th to 8th graders at tryouts?

Alja [10]

Answer:

7:5

Step-by-step explanation:

49/7 = 7 and 35/7 = 5

to get a ratio, divide both side by the same number that is a facttor for both.

6 0

3 years ago