Combine the radicals
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
Hello!
Your study variable is X: "number of ColorSmart-5000 that didn't need repairs after 5 years of use, in a sample of 390"
X~Bi (n;ρ)
ρ: population proportion of ColorSmart-5000 that didn't need repairs after 5 years of use. ρ = 0.95
n= 390
x= 303
sample proportion ^ρ: x/n = 303/390 = 0.776 ≅ 0.78
Applying the Central Limit Theorem you approximate the distribution of the sample proportion to normal to obtain the statistic to use.
You are asked to estimate the population proportion of televisions that didn't require repairs with a confidence interval, the formula is:
^ρ±* √[(^ρ(1-^ρ))/n]
=
= 2.58
0.78±2.58* √[(0.78(1-0.78))/390]
0.0541
[0.726;0.834]
With a confidence level of 99% you'd expect that the interval [0.726;0.834] contains the true value of the proportion of ColorSmart-5000 that didn't need repairs after 5 years of use.
I hope it helps!
The programs cost the same for 7 classes.
Given, no. of classes is represented by c, no. of dogs is represented by d, no. of hours is represented by h, the no. of programs is represented by p and the total cost is represented by t.
The first program charges $35 membership fee and $5 for each class.
The second program charges only $10 for each class.
Now the total cost say , for first program can be written in equation form as,
, here c is the no. of classes.
Similarly, the total cost say , for second program can be written in equation form as,
.
We have to find out the no. of classes for which the two programs cost the same.
according to the question,
Hence for 7 of classes the programs cost the same.
For more details follow the link:
Answer:
The value of
Step-by-step explanation:
Let's recall the the formula for volume of a pyramid.
Volume of a Pyramid ....equation
where and
Now we have been given the values of and
and have to find the value of
Plugging the values of and
in equation
Now we can also check our previous results.
So, our final answer is