Answer:
We want to construct a confidence interval at 99% of confidence, so then the significance level would be
and the value of
. And for this case since we know the population deviation is not appropiate use the t distribution since we know the population deviation and the best quantile assuming that the population is normally distributed is given by the z distribution.
And if we find the critical value in the normal standard distribution or excel and we got:

And we can use the following excel code:
"=NORM.INV(0.005,0,1)"
Step-by-step explanation:
For this case we have the following info given:

We want to construct a confidence interval at 99% of confidence, so then the significance level would be
and the value of
. And for this case since we know the population deviation is not appropiate use the t distribution since we know the population deviation and the best quantile assuming that the population is normally distributed is given by the z distribution.
And if we find the critical value in the normal standard distribution or excel and we got:

And we can use the following excel code:
"=NORM.INV(0.005,0,1)"
The formula for volume of a rectangular prism is L x W x H
we can replace the letters with the information given and then solve for the missing letter:
240 cm^3 = 12 x 4 x H
multiply 12 and 4:
240 = 48 x H
now to solve for H divide both sides by 48:
h = 240/48
H = 5
the height is 5 cm
Okay. So, based off of that, if you divide 1 1/2 (3/2) by 3/4, 3/2 * 4/3 is 12/6 or 2. 1/2 cups of raspberries is needed for each fourth of the cake. 1/2 * 4 = 2. Lin will need 2 cups of raspberries for the whole cake.
Answer:
115<40+15x
i believe this is right. 115 is what he has and what he spends has to be less than that and x is how many lines so solve for x to find how many lines he can have
You set up the problem correctly, just keep going.
Expand out your expression:
2x(3x-9) + 4x(x+13)
= 6x^2 -18x + 4x^2 + 52x
= 10x^2 +34x
Remember that the above expression is the area, so it is equal to 24.
10x^2 + 34x = 24
10x^2 + 34x - 24 = 0 (divide by 2)
5x^2 + 17x - 12 = 0
Done.