The longest a blender can last and still be in the lowest 5% of life spans will be 4.6 years. The correct option is A.
<h3>What is a normal distribution?</h3>
The z-score formula can be used to resolve issues with samples that have a normal distribution. The score of a measure X in a collection with mean and standard deviation is given by:
Z = ( X - μ ) / σ
The Z-score calculates the deviation of the measure from the mean in standard deviations. We glance at the z-score table after determining the Z-score to determine the p-value connected to it.
The likelihood that the measure's value is less than X, or the percentile of X, is represented by this p-value. The likelihood that the value of the measure is greater than X is obtained by deducting 1 from the value.
In this problem, we have that:
μ = 5.8, σ = 0.9
Only those on the 5th percentile or lower will be replaced. So the warranty is the value of X when Z has a value of 0.05.
The value of x will be:-
Z = ( X - μ ) / σ
-1.28 = ( X - 5.8 ) / 0.9
X = 4.6
Therefore, the longest a blender can last and still be in the lowest 5% of life spans will be 4.6 years. The correct option is A.
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Answer:
3 cm.
Step-by-step explanation:
We have been given that diagonal BD of a square ABCD is 6 cm long and we are asked to find the length of AE.
Since we know that diagonals of a square are equal and bisects each other at right angles.
We can find length of segment AE by dividing 6 cm by 2.
Therefore, length of AE will be 3 cm.
The answer is B, as they both add up to 15 feet and 4 inches
Answer:
Step-by-step explanation:
<h3>Q1</h3>
<u>The ratios of corresponding sides of similar figures are equal:</u>
- x / 25 = 24 / 15
- x / 25 = 8 / 5
- x = 25*8/5
- x = 40
<h3>Q2</h3>
<u>Short sides are x and 15, long sides are 36 and 24. The ratios are same:</u>
- x / 15 = 36 / 24
- x / 15 = 3/2
- x = 15*3/2
- x = 22.5
Correct choice is C
Answer:
Total distance mouse traveled in 3 hours = of a mile
The mouse traveled the same distance in each hour. So in order to find the distance covered in 1 hour we have to divide the distance covered in 3 hours by 3. This will give us the distance that the mouse traveled in one hour.
So, the distance traveled in one hour will be = of a mile
The error which Matt made was that he divided only the denominator of the expression by 3, this probably was a calculation error.
Correct conclusion will be: Mouse travel 1/24 of a mile each hour