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3 years ago

How do you solve this please give steps

Mathematics

2 answers:

balu736 [363]3 years ago

7 0

Answer:

Step-by-step explanation:

they are a linear pair so x + 2x + 21 = 180 so you subtract 21 from both sides, combine x and 2x then divide by 3 to get 53

SashulF [63]3 years ago

7 0

Answer:

x = 53

Step-by-step explanation:

Assuming that the river is of constant width throughout.

x + (2x + 21) = 180

x + 2x + 21 = 180

3x + 21 = 180

3x = 159

x = 53

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Out of a group of 120 students that were surveyed about winter sports 28 said they ski 53 said they snowboard Sixteen of the stu

hjlf

Answer:

P ( snowboard I ski) = 0.5714

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Ski

Event B: Snowboard.

28 out of 120 students ski:

This means that $P(A) = \frac{28}{120} = 0.2333$

16 out of 120 do both:

This means that $P(A \cap B) = \frac{16}{120} = 0.1333$

P ( snowboard I ski)

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1333}{0.2333} = 0.5714$

P ( snowboard I ski) = 0.5714

7 0

2 years ago

Read 2 more answers

A beach ball has a diameter of 10 inches. What is the volume of air contained inside the beach ball? Use 3.14 for pi. Round your

klio [65]

Answer:

Step-by-step explanation:

Volume of sphere = 4/3 *pi * r^3

= 4/3 * 3.14 * 52

= 523.33

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2 years ago

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Sonbull [250]

First move all terms to one side:

$m^2=2m\implies m^2-2m=0$

Then all terms on the left side share a common factor of $m$ :

$m(m-2)=0$

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2 years ago

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Licemer1 [7]

Answer:

Step-by-step explanation:

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2 years ago

Find the exact area of the octagon. show your reasoning?

strojnjashka [21]

Since there are as many of these triangles as the polygon has sides (eight for an octagon), you have to multiply the area of this triangle by the number of sides. You will obtain the total area of the octagon: area of octagon = 8 * base * height / 2 = perimeter * apothem / 2 .

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2 years ago