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2 years ago

Which numbers should be multiplied to obtain 175^2 − 124^22?

1 answer:

3 0

This question seems to me to be an exercise in applying the rule for a difference of squares in order to rewrite the difference of two relatively large numbers as the "simpler" product of other integers.

$175^2-124^2=(175-124)(175+124)=51\cdot299=15,249$

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I need help please!!

Usimov [2.4K]

Answer:

Step-by-step explanation:

radius r = 5 cm

Height h = 5 cm

Volume of cylinder = πr²h

= π * 5 * 5 * 5

= 125π cm³

8 0

3 years ago

Read 2 more answers

What is the perimeter of this shape?

PSYCHO15rus [73]

<u>Given</u>:

Given that the sides of the shape.

The given shape consists of 8 sides.

We need to determine the perimeter of the given shape.

<u>Perimeter</u>:

The perimeter of the figure can be determined by adding all the lengths of the sides of the shape.

Thus, we have;

$Perimeter=10+4+2+4+6+4+2+4$

Adding the values, we get;

$Perimeter = 36$

Thus, the perimeter of the given shape is 36 feet.

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3 years ago

Read 2 more answers

PLEASE HELP!! Trevor is writing a paper that must be 50,000 words long. He had already written 23,210 words. Write an inequality

almond37 [142]

Answer:

50,000 ≤ 23,210 + 5x

x = Average number of words per week

Step-by-step explanation:

Start off with 50,000 because that's how many words the paper needs to have.

Use "≤" because Trevor needs to write at least 50,000 words. (He can write more).

Trevor already wrote 23,210 words plus x words per week for 5 weeks.

(Solving for x will help you find the average number of words Trevor must write per week for 5 weeks).

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3 years ago

A woman is randomly selected from the 18–24 age group. For women of this group, systolic blood pressures (in mm Hg) are normally

Naddik [55]

Answer:

$X \sim N(114.8,13.1)$

Where $\mu=114.8$ and $\sigma=13.1$

We are interested on this probability

$P(X>140)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

And we can find this probability using the complement rule:

$P(z>1.924)=1-P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(114.8,13.1)$

Where $\mu=114.8$ and $\sigma=13.1$

We are interested on this probability

$P(X>140)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this: $P(X>140)=P(\frac{X-\mu}{\sigma}>\frac{140-\mu}{\sigma})=P(Z>\frac{140- 1114.8}{2.6})=P(z>1.924)$ And we can find this probability using the complement rule:

$P(z>1.924)=1-P(z$

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3 years ago

Andre brought a new bag of cat food. The next day, he opened it to feed his cat. The graph shows how many ounces were left in th

GalinKa [24]

39 days so you would put 39 days till the bag was empty

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3 years ago