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Cerrena [4.2K]
3 years ago
9

Mai skated miles, and Clare skated 3/5 farther than that. Write an expression for the distance Clare

Mathematics
2 answers:
nexus9112 [7]3 years ago
6 0
5 is the whole so they skated 2/5 less than the original whole
Lostsunrise [7]3 years ago
5 0

Answer:

(x+\frac{3}{5}) miles

Step-by-step explanation:

This problem states:

<em>Mai skated x miles, and Clare skated 3/5 farther than that. Write an expression for the distance Clare skated.</em>

<em />

First, we know that:

Mai:x (miles)

In this kind of problem, we must look for all words that implies an operation. If you read the problem, you will find that it says <em>"3/5 farther than", </em>which means that Clare staked more than Mai, that's a sum operation.

Therefore, the expression would be:

Clare:(x+\frac{3}{5}) miles

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vodomira [7]

Answer:

-13t - 5z

Step-by-step explanation:

-6t + 2z - 7z - 7t

= -13t - 5z

3 0
3 years ago
Can 1 2/88 be simplified any lower?
pochemuha

Yes. It can be simplified into 1 1/44

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Optimal-Eats blender has a mean time before failure of 40 months with a standard deviation of 6 months, and the failure times ar
GarryVolchara [31]

Answer:

The warranty period should be of 32 months.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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 p-value, we get the probability that the value of the measure is greater than X.

Mean time before failure of 40 months with a standard deviation of 6 months.

This means that \mu = 40, \sigma = 6

What should be the warranty period, in months, so that the manufacturer will not have more than 10% of the blenders returned?

The warranty period should be the 10th percentile, which is X when Z has a p-value of 0.1, so X when Z = -1.28.

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The warranty period should be of 32 months.

7 0
3 years ago
Find y'' by implicit differentiation. x2 + 5y2 = 5
Zielflug [23.3K]
Differentiate with respect to x and y
2x +10 y y' = 0
get y' alone
y' = -2x/(10 y)
reduce
y'=-x/(5y)
continue with quotient rule of differentiation
y'' = ( 5y(-1) - (-x) (5y')) / (5y) squared

y'' = (-5y + 5xy') /  (25y squared)
reduce by dividing each term by 5
y" = (-y +xy') / (5y squared)   answer

Now if the teacher wants you to continue so no y or y' shows
substitute  y' = -x/(5y) and y = square root ((5-x squared) / 5)
and simplify
3 0
3 years ago
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