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3 years ago

Which of the following equations describe the line shown below? Check all that apply.

Mathematics

1 answer:

WITCHER [35]3 years ago

6 0

Here, first we need to calculate the slope of the line,
Here, Coordinates = (-6, 2) (-1, -4)
m = y2 - y1 / x2-x1
m = 2 + 4 / -6 + 1
m = 6/-5
m = -6/5

Now, Take first coordinate: y - 2 = -6/5 (x + 6)
Second coordinate: y + 4 = -6/5 (x + 1)

In short, Your Answers would be Option C & D

Hope this helps!

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Find the total surface area of this triangular prism. 30 cm 18 cm 7 cm 24 cm

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Answer:

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Step-by-step explanation:

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3 years ago

Conduct the appropriate hypothesis test and compute the test statistic. A company that produces fishing line undergoes random te

andre [41]

Answer:

Option D) Yes, because the test statistic is -2.01

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 30 pound

Sample mean, $\bar{x}$ = 29.1 pounds

Sample size, n = 20

Alpha, α = 0.05

Sample standard deviation, s = 2 pounds

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 30\text{ pounds}\\H_A: \mu < 30\text{ pounds}$

We use one-tailed(left) t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{29.1 - 30}{\frac{2}{\sqrt{20}} } = -2.012$

Now,

$t_{critical} \text{ at 0.05 level of significance, 19 degree of freedom } = -1.729$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. Thus, there were enough evidence to conclude that the fishing line breaks with an average force of less than 30 pounds.

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3 years ago

ABC is the middle line of MN in an equilateral triangle. If AB = 8 cm, then find the perimeter MBN.

qaws [65]

Answer:

the answer is 12

Step-by-step explanation:

since the triangle is equilateral meaning all side of ABC is equal to each other AB= BC = AC= 8cm and MN is the middle line that divides AB and BC by two

thus, MB =BN= 4 cm. MN is the middle line thus will also be equal to the half of AC meaning MN=AC/2= 4cm. and perimeter is MBN = MN+MB+BN= 4cm+4cm+4cm =12cm

4 0

3 years ago