Answer:
0.6568 = 65.68% probability that she would be correct.
Step-by-step explanation:
When the distribution is normal, we use 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.
45000, 45500, 44500, 46000 and 44000 units. This rate of sales is considered average for the product over the last twenty years or so.
This means that:

Standard deviation of 1500 units.
This means that 
What is the likelihood that she would be correct if she predicts sales between 43000 and 46000?
This is the pvalue of Z when X = 46000 subtracted by the pvalue of Z when X = 43000. So
X = 46000



has a pvalue of 0.7486
X = 43000



has a pvalue of 0.0918
0.7486 - 0.0918 = 0.6568
0.6568 = 65.68% probability that she would be correct.
U divide the shapes into two, you get a square and triangle. to find area you do b•h, so, 9•6=54,,, now u find area for the triangle wish is b•h/2,, 6•3/2= 9,,, the total area is 54+9=63
Answer:
323.2 revolutions (324 revolutions (rounded) )
Step-by-step explanation:
Savannah has to cover 1100 feet
Sarah has to cover 1100 feet
Now,
For Savannah:
diameter is 26 in, so radius will be 26/2 = 13 inches
Circumference (1 rev) = 
There are 12 inches in 1 feet, so distance to be covered in inches:
1100 * 12 = 13,200 inches
Number of revolutions = 13,200/81.68 = <u>161.6 revolutions</u>
For Sarah, it is the same so:
161.6 revolutions
Together:
161.6 + 161.6 = 323.2 revolutions to cover the whole distance (both)
Rounded, it is About 324 revolutions
9514 1404 393
Answer:
x = 78
Step-by-step explanation:
The base angles of an isosceles triangle are congruent, so the sum of angles is ...
x° +x° +24° = 180°
2x +24 = 180 . . . . . collect terms
x + 12 = 90 . . . . . . . divide by 2
x = 90 -12 . . . . . . . . subtract 12
x = 78
_____
<em>Additional comment</em>
The base angle of an isosceles triangle is always the complement of half the third angle. That angle's bisector is an altitude, so divides the isosceles triangle into two congruent right triangles.