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NikAS [45]
3 years ago
10

Analyze the diagram below and complete the instructions that follow. Find M

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
3 0
Check the picture below.

notice, the missing interior angle is a linear angle with ∡FEG, therefore, both of them add up to 180°, so the missing interior one is the difference of
[ 180° - (x + 4) ].

also recall that the sum of all interior angles in a triangle add up to 180°.

so, let's add them up then,

\bf x+2x+~~[180~-~(x+40)]~=~180
\\\\\\
3x+~~[180-x-40]=180
\implies 
3x+140-x=180\implies 2x=40
\\\\\\
x=\cfrac{40}{2}\implies \boxed{x=20}
\implies 
\measuredangle FEG=(x+40)\implies \measuredangle FEG = 20+40

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olga_2 [115]
The answer is 4. you distribute the negative to make a positive sign and then add
4 0
3 years ago
Please help me interpret the p-value!
alexandr402 [8]

The correct interpretation of the p-value is given by:

B If the average battery life really is 5 hours, then a sample of 10 observations having a sample mean of 4.25 hours or lower would only occur about 3.8% of the line.

<h3>How to find the p-value of a test?</h3>

It depends on the test statistic z, as follows:

  • For a left-tailed test, it is the area under the normal curve to the left of z, which is the p-value of z.
  • For a right-tailed test, it is the area under the normal curve to the right of z, which is 1 subtracted by the p-value of z.
  • For a two-tailed test, it is the area under the normal curve to the left of -z combined with the area to the right of z, hence it is 2 multiplied by 1 subtracted by the p-value of z, which means that the p-value for a two-tailed test is twice the p-value of a one-tailed test.

In this problem, a left-tailed test is used, as we are testing if the mean is less than 5 hours.

The sample mean from the 10 times was of 4.25, and the p-value is of 0.038, which means that the area to the left of Z under the normal curve is of 0.038, that is, a sample mean of 4.25 hours or lower would only occur about 3.8% of the line, hence option B is correct.

You can learn more about p-values at brainly.com/question/13873630

3 0
2 years ago
what is the equation in slope form of the line that is parallel to the given line and passes through the point (-3,1)​
viktelen [127]

Answer:

D

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate the slope of the given line using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, - 4) and (x₂, y₂ ) = (2, 2) ← 2 points on the line

m = \frac{2+4}{2+2} = \frac{6}{4} = \frac{3}{2}

Parallel lines have equal slopes and using (a, b) = (- 3, 1), then

y - 1 = \frac{3}{2}(x - (- 3)), that is

y - 1 = \frac{3}{2}(x + 3) ← in point- slope form

6 0
3 years ago
Which graph of a relation is also a function ?
Illusion [34]

Answer:

B

Step-by-step explanation:

A graph is only a function when there is only one y value for each x value.

A trick is to draw a line through some points on the x-axis, and if the line goes through more than one point. Then it is not a function. (See picture)

Sorry, not all the lines are straight, but you get the point. B is the only one that doesn't have more than one point on the lines I drew.

3 0
3 years ago
For each sequence, find the first 4 terms and the 10th term.<br> A) n+5<br> B)2n-1
snow_tiger [21]

Answer:

see explanation

Step-by-step explanation:

(a)

To find the first 4 terms substitute n = 1, 2, 3, 4 into the n th term formula.

a₁ = 1 + 5 = 6

a₂ = 2 + 5 = 7

a₃ = 3 + 5 = 8

a₄ = 4 + 5 = 9

For the 10 th term substitute n = 10, that is

a₁₀ = 10 + 5 = 15

The first 4 terms are 6, 7, 8, 9 and the 10 th term is 15

(b)

Substitute n = 1, 2, 3, 4 and 10 into the n th term formula

a₁ = 2(1) - 1 = 2 - 1 = 1

a₂ = 2(2) - 1 = 4 - 1 = 3

a₃ = 2(3) - 1 = 6 - 1 = 5

a₄ = 2(4) - 1 = 8 - 1 = 7

a₁₀ = 2(10) - 1 = 20 - 1 = 19

The first 4 terms are 1, 3, 5, 7 and the 10 th term is 19

5 0
3 years ago
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