Using the normal distribution, it is found that z is Z = 1.26, given by option B.
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Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the z-score 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, which is also the <u>area under the normal curve to the left of Z</u>. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X, which is also the <u>area under the normal curve to the right of Z</u>.
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- Area under the normal curve between 0 and the z-value is 0.3962.
- Z = 0 has a p-value of 0.5.
- Thus, we need to find z with a p-value of 0.5 + 0.3962 = 0.8962.
- Looking at the z-table, this is Z = 1.26, given by option B.
A similar problem is given at brainly.com/question/22940416
We know that
1 liter------------> is equal to 1000 ml
if for one cake--------------> are required 80 milliliters of lemon juice
<span> for 11 cakes--------------> X
X=11*80---------> 880 ml
</span>if for one cake--------------> are required 240 milliliters of plain yogurt
for 11 cakes--------------> X
X=11*240---------> 2640 ml
<span>liters of lemon juice needed to make 11 cakes
880 ml/1000------> 0.88 lt
</span><span>liters of yogurt needed to make 11 cakes
2640 ml/1000--------> 2.64 lt
the answer is
are needed 0.88 lt </span>of lemon juice and 2.64 lt of yogurt to make 11 cakes<span>
</span>
Answer:
5.46
Step-by-step explanation:
3.24/5.4 = y/9.1
The width is half the length, so is
width = (1/2)*length
width = (1/2)*(<span>3.2a + 0.18b) cm
width = (1.6a +0.09b) cm
The perimeter of the rectangle is twice the sum of length and width.
perimeter = 2*(length + width)
perimeter = 2*((3.2a +0.18b) cm + (1.6a +0.09b) cm)
perimeter = 2*(4.8a +0.27b) cm)
perimeter = (9.6a +0.54b) cm
Sasha did not get this answer, so apparently ...
her reasoning was not correct.</span>
Let the distance of the first part of the race be x, and that of the second part, 15 - x, then
x/8 + (15 - x)/20 = 1.125
5x + 2(15 - x) = 40 x 1.125
5x + 30 - 2x = 45
3x = 45 - 30 = 15
x = 15/3 = 5
Therefore, the distance of the first part of the race is 5 miles and the time is 5/8 = 0.625 hours or 37.5 minutes
The distance of the second part of the race is 15 - 5 = 10 miles and the time is 1.125 - 0.625 = 0.5 hours or 30 minutes.
