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Vlad1618 [11]
3 years ago
9

Find the z-score for a value of 16 with a mean of 8 and a variance of 5 g

Mathematics
1 answer:
zimovet [89]3 years ago
3 0
If the variance is 5 then the standard deviation is √5.
If Z is the score then Z=(8-16)/√5=-3.58 approx.
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Given the expotential function f(x) = 4(3)^x find f(0) and f(1)
RoseWind [281]

Answer:

4 and 12

Step-by-step explanation:

Given

f(x) = 4(3)^{x} , then

f(0) = 4(3)^{0} = 4 × 1 = 4 [ a^{0} = 1 ]

f(1) = 4(3)^{1} = 4 × 3 = 12

5 0
3 years ago
The_______determines the scale of the scale of the coordinate plans.
lara [203]

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In a random sample of 30 people who rode a roller coaster one day, the mean wait time is 46.7 minutes with a standard deviation
Rainbow [258]

Answer: C. (29,\ 37.8)

Step-by-step explanation:

The confidence interval for difference of two population mean is given by :-

\overline{x}_1-\overline{x}_2\pm z_{\alpha/2}\sqrt{\dfrac{s_1^2}{n_1}+\dfrac{s_2^2}{n_2}}

Given : Level of significance : 1-\alpha:0.99

Then , significance level : \alpha: 1-0.99=0.01

Critical value : z_{\alpha/2}=z_{0.005}=2.576

n_1=30\ ;\ n_2=50\\\\\overline{x}_1=46.7\ ;\ \overline{x}_2=13.3\\\\s_1=9.2\ ;\ s_2=1.9

46.7-13.3\pm(2.576)\sqrt{\dfrac{9.2^2}{30}+\dfrac{1.9^2}{50}}\approx33.4\pm4.38=(29.02\ ,37.78)\approx(29,\ 37.8)

Hence,  a 99% confidence interval for the difference between the mean wait times of everyone who rode both rides (29,\ 37.8)

5 0
3 years ago
The sum of the interior angles of a triangle measures 180°. T or F?
deff fn [24]
This is true. The sum of interior angles always add up to 180<span>°.

Hopefully this helps! If you have any more questions or don't understand, feel free to DM me, and I'll get back to you ASAP! :)
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7 0
3 years ago
You have 10 shirts 2 of them are black what is the probability of not choosing a black shirt.
fredd [130]
80% or 4/5
Since there are 2 blacks shirts and 10 in total the probability is of not poking a black shirt is 8/10 which when reduced is 4/5
7 0
3 years ago
Read 2 more answers
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