The sum of three consecutive even numbers is 150. What is the smallest of the three numbers ?

Answer:

9*9*9*9*9*9*9

Step-by-step explanation:

it's basically 9 multiply by itself for 7 times

Answer:

       b

Step-by-step explanation:

bnbbn

Answer:

Step-by-step explanation:

You know two sides and the angle between them. Use the Law of Cosines to find the third side.

q = √(p²+r²-2pr·cosQ) ≅ 8.533 units

Use Heron's formula to find area

semi-perimeter s = (p+q+r)/2 ≅ 10.317 units

area = √(s(s-p)(s-q)(s-r)) ≅ 16.3 units²

Answer:

400 cm

Step-by-step explanation:

100 centimeters in a meter.

4 * 100 = 400

Answer:

21x - 14y - 63

Step-by-step explanation:

Rearrange the terms so it's: -7(-3x + 2y + 9)

Then distribute it and you have your answer, unless you know what x and y are

Answer:

260 is the answer. jjrjejjehene

Answer:

te awnser is

Step-by-step explanation:

Answer:

990

Step-by-step explanation:

(21*18*2)+(21*3*2)+(18*3*2)

=990

Answer:

32.

1st get the total age of the students

x/20 = 11

x=11x20

x =220 (total age of students)

add y ( teachers age) to the equation

(220 + y)/21=12

y= 32

Answer:

32

Step-by-step explanation:

20 * 11= 220

21 * 12= 252

252-220=32

Answer:

4 gallons 1 quart total ice cream

first you add the gallons and the quarts.

so, 2 gallons vanilla + 1 gallon chocolate is 3 gallons.

3 quarts vanilla + 2 quarts chocolate is 5 quarts.

4 of the 5 quarts are taken to make up another gallon.

so the answer is 4 gallons 1 quart total ice cream.

Answer:

0.0778 = 7.78% probability that the average age at death of these nine participants will exceed 68 years

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Approximately normal with mean equal to 66.3 years and standard deviation equal to 3.6 years.

This means that [tex]\mu = 66.3, \sigma = 3.6[/tex]

Sample of 9:

This means that [tex]n = 9, s = \frac{3.6}{\sqrt{9}} = 1.2[/tex]

What is the probability that the average age at death of these nine participants will exceed 68 years?

This is 1 subtracted by the pvalue of Z when X = 68. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{68 - 66.3}{1.2}[/tex]

[tex]Z = 1.42[/tex]

[tex]Z = 1.42[/tex] has a pvalue of 0.9222

1 - 0.9222 = 0.0778

0.0778 = 7.78% probability that the average age at death of these nine participants will exceed 68 years

Answer:

43.96

Step-by-step explanation:

Answer:

19/20

Step-by-step explanation:

write all numerators above the least common denominator 20

15+4/20

add the numbers

19/20

Answer: 19/20

Step-by-step explanation:

Find your common denominator

3/4

Multiply by 5

15/20

1/5

Multiply by 4

4/20 + 15/20= 19/20

Hope this helped :)

Answer:

12

Step-by-step explanation:

Answer:

The answer is 12.

Answer:

The ordered pair that describes the location of K' is (5,4).

Step-by-step explanation:

Reflection over the x-axis:

When a point is reflected over the x-axis, it's x-coordinate stays the same, while the signal of the y-coordinate is changed. So

(x,y) -> (x,-y)

In this question:

Point K(5,-4)

Reflection over the x-axis:

(5,-4) -> (5,-(-4)) -> (5,4)

The ordered pair that describes the location of K' is (5,4).

Answer:

B) ∠SBY = 117°

Step-by-step explanation:

interior angles in a pentagon = (5x180) - 360 = 540°

each angle = 540/5 = 108°

interior angles in a octagon = (8x180) - 360 = 1080°

each angle = 1080/8 = 135°

∠SBY = 360 - 108 - 135 = 117°

Answer: think it’s c 4/28

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

Huh!! What is this question supposed to mean?

Answer:

8

Step-by-step explanation:

Answer:

I would help but it is just black try to repost it and i will tell you what it is

Step-by-step explanation:

Answer:

the answer is I LIKE YOUR CUT G

Step-by-step explanation:

your a bot at fortnite

Answer:

b. Substitute 8x+4 for y in the first equation.

Answer:

2100

Step-by-step explanation:

L M A O

Answer:

$13.20

Step-by-step explanation:

7% = 0.7 so you add that to $32.85 = $33.55

18% of $33.55 is 6.039 so you add that to $33.55 = 39.589

That is the total of the bill so you divide it by 3

39.589 /3 =13.1963

rounded to the nearest cent is $13.20

Answer:

6,750 in.³

Step-by-step explanation:

The ice chest is a rectangular prism or a cuboid.

Volume of the ice chest = volume of rectangular prism = l*w*h

Where,

l = 30 in.

w = 15 in.

h = 15 in.

Volume = 30*15*15 = 6,750 in.³

Answer:

i think its b

Step-by-step explanation:

Answer:

-26

Step-by-step explanation:

sorry but from my calculations I didn't get any of the options I got -26