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kolbaska11 [484]
2 years ago
9

Help help help help help help

Mathematics
1 answer:
maw [93]2 years ago
4 0

Answer:

B) d=4t

Step-by-step explanation:

let's look at two points

1. t=0, d = 0

2. t = 1, d = 4

slope = change in vertical axis (d)/ change in horizontal axis (t)

change in d = 4 = d₂-d₁

change in t = 1 = t₂-t₁

slope = 4/1 = 4

vertical variable = slope * horizontal variable + horizontal axis intercept

d = 4 * t + horizontal axis intercept

horizontal axis intercept is the vertical axis variable (d) when the horizontal axis variable (t) is at 0. at t=0, d=0

thus, d = 4 * t + 0

d = 4t (B)

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Hope this helps! :)
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3 years ago
Construct a​ 95% confidence interval for the population standard deviation sigma of a random sample of 15 crates which have a me
Ad libitum [116K]

Answer:

There is a 95% confidence that the sample has a mean between 158.92 pounds and 171.48 pounds

Step-by-step explanation:

Given that mean (μ) = 165.2 pounds, standard deviation (σ) = 12.4 pounds, sample size (n) = 15 crates. Confidence (C) = 95% = 0.95

α = 1 - C = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

The z score of α/2 corresponds to the z score of 0.475 (0.5 - 0.025) which is 1.96. z_{\frac{\alpha}{2} }=1.96

The margin of error (E) is given by:

E=z_{\frac{\alpha}{2} }\frac{\sigma}{\sqrt{n} } =1.96*\frac{12.4}{\sqrt{15} }= 6.28

The confidence interval = μ ± E = 165.2 ± 6.28 = (158.92, 171.48)

The confidence interval is between 158.92 pounds and 171.48 pounds. There is a 95% confidence that the sample has a mean between 158.92 pounds and 171.48 pounds

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2 years ago
1,256,667 times 9,254,876 equals 11,630,297,258,292
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Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

\fbox{27}

Step-by-step explanation:

4x+3=3x+9\\4x+3-3=3x+9-3\\4x=3x+6\\4x-3x=3x-3x+6\\x=6

Plug in the 6 to the equations. Since B is the midpoint of AC, then both should be equal once plugged in [and solved].

4(6)+3\\= 27\\3(6)+9\\= 27\\\\\fbox{27}

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