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3 years ago

I NEED HELP ON THIS QUESTION PLS.

Mathematics

1 answer:

STatiana [176]3 years ago

5 0

Answer: F
Explanation: you already know you have a 90° and the straight lines means it’s 180° so you need to find x and z which are the same so 2x + 90=180 which you would then subtract 90 from 180 which would be 90 then divide 90 by two which would be 45

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Cara is 14 years old . This is twice as old as her brother . How old is her brother

Alenkinab [10]

Cara's brother is 7 years old.

14 is twice as much as 7 (7 * 2 = 14).

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3 years ago

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Find the area of the following triangle. Show each of the math steps that you use to find the area. Then explain how to go about

Diano4ka-milaya [45]

Semi perimeter:-

$\\ \rm\rightarrowtail s=\dfrac{a+b+c}{2}$

$\\ \rm\rightarrowtail s=\dfrac{1.8+2.4+3}{2}$

$\\ \rm\rightarrowtail s=\dfrac{7.2}{2}=3.6cm$

Apply heron s formula

Area:-

$\\ \rm\rightarrowtail \sqrt{s(s-a)(s-b)(s-c)}$

$\\ \rm\rightarrowtail \sqrt{3.6(3.6-1.8)(3.6-3)(3.6-2.4)}$

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$\\ \rm\rightarrowtail \sqrt{4.6656}$

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2 years ago

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Sec (of theta)=25/24 find cot(of theta)

Len [333]

If secant of theta = 1.0416666667 then
theta = 16.26 Degrees
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3 years ago

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Look at this set of 10 numbers:

swat32

In the original set of numbers, the median is six
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Consolidated Power, a large electric power utility, has just built a modern nuclear power plant. This plant discharges waste wat

Gemiola [76]

Answer:

We conclude that the plant should shut down.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 60

Sample mean, $\bar{x}$ = 61.498

Sample size, n = 100

Alpha, α = 0.05

Population standard deviation, σ = 6

a) First, we design the null and the alternate hypothesis such that the power plant will be shut down when the null hypothesis is rejected.

$H_{0}: \mu \leq 60\\H_A: \mu > 60$

We use One-tailed(right) z test to perform this hypothesis.

b) Formula:

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

Putting all the values, we have

$z_{stat} = \displaystyle\frac{61.498 - 60}{\frac{6}{\sqrt{100}} } = 2.49$

Now, $z_{critical} \text{ at 0.05 level of significance } = 1.64$

Since,

$z_{stat} > z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.

Calculating the p-value from the z-table:

P-value = 0.0063

Since,

P-value < Significance level

We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.

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