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3 years ago

9

Kim and Leon exercise a total of 20 hours each week. Leon exercises 2 hours less than 3 times the number of hours Kim exersices.

How many hours does each exercise?

1 answer:

ddd [48]3 years ago

4 0

Answer:

3

Step-by-step explanation:

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In triangle ABC the measure of angle A is 2x +3, the measure of angle B is 4x+2, and the measure of angle C is 2x-1. What are th

Irina18 [472]

Answer:

see explanation

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

Summing the 3 angles and equating to 180 gives

2x + 3 + 4x + 2 + 2x - 1 = 180

8x + 4 = 180 ( subtract 4 from both sides )

8x = 176 ( divide both sides by 8 )

x = 22

∠A = 2x + 3 = (2 × 22) + 3 = 44 + 3 = 47°

∠B = 4x + 2 = (4 × 22) + 2 = 88 + 2 = 90°

∠C = 2x - 1 = (2 × 22) - 1 = 44 - 1 = 43°

7 0

3 years ago

What is the value of the x variable in the solution to the following system of equations? (1 point) 4x + 2y = 6 x − y = 3 −1 5 −

atroni [7]

Equations are: 4x + 2y = 6
x - y = 3
Multiply 2nd equation by 2,
2x - 2y = 6
Add both the equations,
6x = 12
x = 12/6
x = 2

In short, Your Answer would be 2

Hope this helps!

7 0

3 years ago

The mean is 47.1 and the standard deviation is 9.5 for a population. Using the Central Limit Theorem, what is the standard devia

MaRussiya [10]

Answer:

The standard deviation of the distribution of sample means for samples of size 60 is of 1.2264.

Step-by-step explanation:

Central Limit Theorem

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

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

Standard deviation is 9.5 for a population.

This means that $\sigma = 9.5$

Sample of 60:

This means that $n = 60$

What is the standard deviation of the distribution of sample means for samples of size 60?

$s = \frac{\sigma}{\sqrt{n}} = \frac{9.5}{\sqrt{60}} = 1.2264$

The standard deviation of the distribution of sample means for samples of size 60 is of 1.2264.

4 0

3 years ago

A triangle cannot exist is A< 90° and a 90° and a< b. True or False

irinina [24]

False because you cant make triangles with 2 right angles

5 0

3 years ago

An account earns simple interest. (a) Find the interest earned. (b) Find the balance of the account.

Lubov Fominskaja [6]

1. The interest would be $332.80 and the balance of the account would be $2,932.80.

2. The interest would be $1,912.50 and the balance of the account would be $9,412.50

5 0

4 years ago