Answer:
95.64% probability that pledges are received within 40 days
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What is the probability that pledges are received within 40 days
This is the pvalue of Z when X = 40. So
has a pvalue of 0.9564
95.64% probability that pledges are received within 40 days
Well 1 percent is 0.9, so an easy way to work it out:
100(0.9)=90
10(0.9)=9
90+9=99.
We will determine the length of the segment DF as follows:
*We have that the triangles are similar, and therefore the following is true:
Now, we solve for DF:
From this, we have that the length of the segment DF equals 2.68 units.
Answer:
He will need 8.34 yards of fabric.
Step-by-step explanation:
Given that,
The length of the fabric, l = 2 2/3 yards = 8/3 yards
The width of the fabric, b = 1 1/2 yards = 3/2 yards
We need to find the piece of fabric Roberto needs. It is equal to the perimeter of the fabric such that,
So, he will need 8.34 yards of fabric.
Wt f...? Why must I ruin the constitution xD
We da ppl of da USA, in order 2 form a more perfect union, establish da justice, insure domestic tranquility, provide for da common defense peeps, yo,
I am so sorry, I cannot keep ruining the constitution
