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3 years ago

7

A square has an area of 16x^2 square inches. If the sides of the square were to increase by 2 units, what is the new area of the

square?

1 answer:

kykrilka [37]3 years ago

4 0

Answer:

16x² + 64x + 64

Step-by-step explanation:

Given

A = 16x²

Increasing the sides by 2, substitute x = x + 2 into A

A = 16(x + 2)² ← expand factor using FOIL

= 16(x² + 4x + 4 ) ← distribute

= 16x² + 64x + 64

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A normal distribution has a mean of 137 and a standard deviation of 7. Find the z-score for a data value of 121. Incorrect Round

Neko [114]

Answer:

The z-score for a data value of 121 is -2.29.

Step-by-step explanation:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 137, \sigma = 7$

Find the z-score for a data value of 121.

This is Z when X = 121. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{121 - 137}{7}$

$Z = -2.29$

The z-score for a data value of 121 is -2.29.

4 0

3 years ago

Read 2 more answers

Given a container that is 4.50 ft. by 7.20 ft. that is filled with water 5.00 inches deep.What is the volume of water in liters

elena55 [62]

Answer:

382.3 liters

Step-by-step explanation:

We are told in the question that:

A container that is 4.50 ft. by 7.20 ft. that is filled with water 5.00 inches deep.

This means:

Length = 4.50 ft

Width = 7.20 ft

Depth(Height) = 5.00 inches

We have to convert all of these to centimeters first. Then to liters

1 foot = 30.48 centimetres

1 inch = 2.54 centimetres

Length = 4.50 ft

1 foot = 30.48 centimetres

4.5 ft = 4.5 × 30.48

= 137.16 cm

Width = 7.20 ft

1 foot = 30.48 centimetres

7.20 ft = 7.20 × 30.48 cm

= 219.456cm

Depth(Height) = 5.00 inches

1 inch = 2.54 centimetres

5 inches = x cm

Cross Multiply

= 5 × 2.54 cm

= 12.7 cm

The volume of the water(cm³) = Length × Width × Depth

= (137.16 × 219.456 × 12.7)cm³

382277.428992 cm³

The volume of water in liters

1 cubic centimetre = 0.001 litre

382277.428992 cm³ = x

Cross Multiply

382277.428992 cm³ × 0.001 litre

= 382.2774289920001 liters

Approximately = 382.3 liters

7 0

3 years ago

I need help now is due today!!!! : An animal shelter houses only cats and dogs, and there are 25% more cats than dogs. If there

bija089 [108]

Answer:

30 dogs

Step-by-step explanation:

There are 40 cats, and 25% more cats than dogs. If you find 25% of 40, you get 10. That means there are 10 more cats than dogs. 40-10= 30.

30 dogs.

6 0

3 years ago

How many time does 16 go into 4

Artemon [7]

4 can go into 16 4 times

6 0

3 years ago

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P=2^(43112609)-1 Suppose you have traveled to a faraway place where the base of the number system is 37 . (The inhabitants of th

AfilCa [17]

Answer:

8,275,842 digits

Step-by-step explanation:

One more than the floor of the logarithm to the base 37 gives the number of digits. The change of base formula can be used.

$\log_{37}{(2^{43112609}-1)}\approx\dfrac{43112609\log{2}}{\log{37}}\approx 8275841.2$

Expressed in the base-37 number system, P has 8275842 digits.

6 0

3 years ago