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Nana76 [90]
3 years ago
6

Consider the quadratic expression given below.

Mathematics
1 answer:
KonstantinChe [14]3 years ago
7 0
Factor out 4
4(x^2 + 2x - 15)

to factor the equation inside the parenthesis, find two numbers that multiply to -15 and add to 2
those numbers are: 5 and -3

the answer is: 4(x+5)(x-3)
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Lucy is using a one-sample t ‑test based on a simple random sample of size n = 22 to test the null hypothesis H 0 : μ = 16.000 c
slega [8]

Answer:

The value of test statistic is 1.338

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 16.000

Sample mean, \bar{x} = 16.218

Sample size, n = 22

Alpha, α = 0.05

Sample standard deviation, s = 0.764

First, we design the null and the alternate hypothesis

H_{0}: \mu = 16.000\text{ cm}\\H_A: \mu < 16.000\text{ cm}

We use one-tailed 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{16.218 - 16.000}{\frac{0.764}{\sqrt{22}} } = 1.338

Thus, the value of test statistic is 1.338

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Answer:

(-4 , 8)

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In this case, reflect across the x-axis. Flip the sign of the y: (x , y)

(-4 , -8) reflected over the x-axis is (-4 , 8).

~

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