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4 years ago

What is the value of y?

Mathematics

2 answers:

valentina_108 [34]4 years ago

3 0

Answer:

Step-by-step explanation:

(12,5)

Pavel [41]4 years ago

3 0

45*

For this we’ll only use the top most angles.
We have a straight across line, which is equal to 180*.
That is then cut in half making it a 90* shown by the box.
That makes the others side 90* before it’s cut.
Then it’s cut in half. 90/2=45

45*

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Write a simplified expression for the length of AC.

Elena L [17]

Answer:

see below

Step-by-step explanation:

Using the segment addition postulate

AB + BC = AC

x+2 + 7x-3 = AC

Combine like terms

8x -1 = AC

Using the segment addition postulate

PQ + QR = PR

8y+5 + QR = 13y+25

Subtract 8y from each side

5 + QR = 13y-8y+25

5 + QR = 5y+25

Subtract 5 from each side

QR = 5y+25-5

QR = 5y+20

3 0

3 years ago

The lifespan of lions in a particular zoo are normally distributed. The average lion lives 10 years: the standard deviation is 1

frez [133]

Answer:

2.5% probability of a lion living less than 7.2 years

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 10

Standard deviation = 1.4

Probability of a lion living less than 7.2 years

The normal distribution is symmetric, which means that 50% of the measures are above the mean and 50% are below.

7.2 = 10 - 2*1.4

So 7.2 is two standard deviations below the mean.

By the empirical rule, of those 50% of the measures below the mean, 95% is within 2 standard deviations of the mean, that is, between 7.2 and 10, and 5% are less than 7.2. So

p = 0.05*0.5 = 0.025

2.5% probability of a lion living less than 7.2 years

4 0

3 years ago

How many ways are there to paint a set of 27 27 elements such that 7 7 are painted white, 6 6 are painted old gold, 2 2 are pain

Alexeev081 [22]

Answer:

There are 2,480,721,300,000,00 ways to paint this set.

Step-by-step explanation:

We have that:

A set of 27 elements, of which:

7 are painted white

6 are painted old gold

2 are painted blue

7 are painted yellow

5 are painted green

How many ways are there to paint?

A single change in the set, for example, element 0 exchanged with element 1, means we have a new way. So we use the permutations formula to solve this problem:

Permutations

Permutations of a set of x elements divided into sets of size w,y,z.

The number of ways is:

$P{x}_{w,y,z} = \frac{x!}{w!y!z!}$

In this problem, we have that:

A set of 27 divided into sets of 7,6,2,7,5. So

$P{27}_{7,6,2,7,5} = \frac{27!}{7!6!2!7!5!} = 2,480,721,300,000,00$

There are 2,480,721,300,000,00 ways to paint this set.

3 0

3 years ago

How do you find the volume of a cylinder?? Step by step by step

Shalnov [3]

1). Recall the formula for the volume of a cylinder:

Volume = (pi) x (radius of the round end)² x (length or height) .

2). Gather together the number you'll use for pi, the radius of the
cylinder's round end, and its length or height. Make sure that the
radius of the round end and the length or height are in the same units.
If they're not, then convert something so that they are.

3). Write each number into its place in the formula.

4). Perform the indicated operations. The final number is the
volume of your cylinder.

3 0

3 years ago

Read 2 more answers

2.) Find the length of the unknown side. Round your answer to the nearest tenth.

Juli2301 [7.4K]

Answer:

14.1

Step-by-step explanation:

Hey There!

This is a right triangle so we have to use the Pythagorean Theorem to solve for the missing side

given the hypotenuse and a leg we do

$hypotenuse^2-given.leg^2$