Answer:
18.14% probability that you would get at least 12 questions correct.
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 you would get at least 12 questions correct?
This is 1 subtracted by the pvalue of Z when X = 12. So
has a pvalue of 0.8186.
So there is a 1-0.8186 = 0.1814 = 18.14% probability that you would get at least 12 questions correct.
Answer:
-3
Step-by-step explanation:
Here,
x = -3 and y = 9
Now , let's solve
Step 1 :- Put the value of x and y in the expression .
- <u>=</u><u> </u><u>(-3)²</u> - ( 9 )
Step 2 :- Expand exponent.
Step 3 :- Subtract 6 from 9.
Answer:
2.5 square feet
Step-by-step explanation:
The area (A) of a regular hexagon in terms of its side length (s) is ...
A = (3/2)(√3)s²
The side length in feet is ...
(30 cm)×(1 ft)/(30.48 cm) = s = 30/30.48 ft = 125/127 ft
Then the area in square feet is ...
A = (3/2)√3(125/127 ft)² ≈ 2.517 ft²
The approximate area of the hexagon is 2.5 square feet.
_____
<em>Comment on the question</em>
There is nothing in this problem statement that relates the hexagon to the window area.
Answer:
hello your question lacks some information
On paper, sketch the solid obtained by rotating the region bounded by y=x^7, x=1, and y=−1 around the axis y=−1. Using the sketch, write a Riemann sum approximating the solid (use Dx for Δx): volume ≈Σ_________
answer : attached below is the solution
Step-by-step explanation:
Attached below is the sketch of the solid obtained by rotating the region bounded by : y = x^7, x = 1, y = -1 and the Riemann sum approximating the solid
