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4 years ago

Provide answers for part a,b, and c. Show work for part c.

Mathematics

1 answer:

schepotkina [342]4 years ago

6 0

Answer:

Step-by-step explanation:

PART A

The Pythagoras theorem is expressed as

Hypotenuse^2 = opposite side^2 + adjacent side^2

PART 2

The hypotenuse is the longest side of the triangle. Looking at the given triangle, the longest side is the side with the length of 7. Therefore, hypotenuse = 7

PART C

To determine x, we will apply the Pythagoras theorem as stated above.

Opposite side = √14

Adjacent side = x

Therefore

7^2 = x^2 + (√14)^2

49 = x^2 + 14

x^2 = 49-14 = 35

Taking square root of both sides of the equation, it becomes

x = √35

x = 5.92

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What is the value of n?

sergij07 [2.7K]

The answer is 95. The angles should equal 360. Add the given two angles and subtract from 360. 360-265=95. So the third angle is 95. Hope I was able to help.

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3 years ago

A certain railway company claims that its trains run late 5 minutes on the average. The actual times (minutes) that 10 randomly

iragen [17]

Answer:

Option C) We would reject the claim that the trains run late an average of 5 minutes and conclude that they run late an average of more than 5 minutes since the 99% confidence interval exceeds 5.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 5 minutes

Sample mean, $\bar{x}$ = 9.130 minutes

Sample size, n = 10

Alpha, α = 0.01

Sample standard deviation, s = 1.4 minutes

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 5\text{ minutes}\\H_A: \mu \neq 5\text{ minutes}$

We have to construct 99% confidence interval.

99% Confidence interval:

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 9 and}~\alpha_{0.01} = \pm 3.249$

$9.130 \pm 3.249(\dfrac{1.4}{\sqrt{10}} ) = 9.130 \pm 1.4383 = (7.6917,10.5683)$

99% Confidence interval: (7.6917,10.5683)

Since the population mean does not lie in he calculated confidence interval, thus, we fail to accept the null hypothesis and accept the alternate hypothesis.

Option C) We would reject the claim that the trains run late an average of 5 minutes and conclude that they run late an average of more than 5 minutes since the 99% confidence interval exceeds 5.

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3 years ago

Can someone please help me to find the remainder when f(x) is divided by (x^2-4)?

yuradex [85]

Answer:

Step-by-step explanation: Given : f(x)=x

−3x

f(2)=(2)

−3(2)

=16−12+4=8

8 0

3 years ago