The radius of a sphere that has a surface area of 12.56in2 would turn out to be:
4
r²
4
A right rectangular prism's edge lengths are 6 inches, 3 inches, and 3 1 2 inches. How many unit cubes with edge lengths of 1 3
2 answers:
You might be interested in
Answer:
99% confidence interval for the true mean resale value of a 5-year-old car of this model is [$12,173.24 , $13,306.76].
Step-by-step explanation:
We are given that you manage to obtain data on 17 recently resold 5-year-old foreign sedans of the same model.
These 17 cars were resold at an average price of $ 12 comma 740 with a standard deviation of $ 800.
Firstly, the pivotal quantity for 99% confidence interval for the true mean is given by;
P.Q. = ~
where, = sample average price = $12,740
s = sample standard deviation = $800
n = sample of cars = 17
= true population mean
<em>Here for constructing 99% confidence interval we have used One-sample t test statistics as we don't know about population standard deviation.</em>
<u>So, 99% confidence interval for the population mean, </u><u> is ;</u>
P(-2.921 < < 2.921) = 0.99 {As the critical value of t at 16 degree of
freedom are -2.921 & 2.921 with P = 0.5%}
P(-2.921 < < 2.921) = 0.99
P( <
<
) = 0.99
P( <
<
) = 0.99
<u>99% confidence interval for</u> = [
,
]
= [ ,
]
= [$12,173.24 , $13,306.76]
Therefore, 99% confidence interval for the true mean resale value of a 5-year-old car of this model is [$12,173.24 , $13,306.76].
Answer:
Step-by-step explanation:
The similar triangles are shown in the attached photo.
Triangle ABC is similar to triangle XZY. Therefore,
AB/XZ = BC/ZY = AC/XY
From the dimensions given,
(x-8)/45 = (2x - 8)/24
Cross multiplying,
24(x-8) = 45(2x - 8)
24x - 192 = 90x - 360
Collecting like terms and making the terms containing the variable, x be on the left hand side and the constants be on the right hand side,
24x - 90x = -360+92
-66x = -268
x = 268/66
x = 4.06
x = 4
