What is the product of 0.02 and 0.7

Debbie found a suitcase that was originally 129 but now is on sale for 30% off. If sales tax is 8.75%, what is her final cost?

Marizza181 [45]

Step-by-step explanation:

To find the answer we first multiply 129 by 0.7 since the price descresed 30 percent. each percent is equal to 0.01.

129 * 0.7 = 90.3

Then we multiply 90.3 by 1.0875 since that is the sales tax

90.3 * 1.0875 = 98.2

so the cost is 98.2

6 0

1 year ago

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What is the difference & similarities of matter and mass ?

Tamiku [17]

that differences are that mass is a measurement of the amount of matter something contains and mass is measured by using a balance comparing a known amount of matter to an unknow of matter

5 0

2 years ago

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What is the standard form equation of the line shown below?

ch4aika [34]

(-1,1)(1,4)
slope = (4 - 1) / (1 - (-1) = 3/(1 + 1) = 3/2

y = mx + b
slope(m) = 3/2
use either of ur points....(1,4)...x = 1 and y = 4
now sub and find b, the y int
4 = 3/2(1) + b
4 = 3/2 + b
4 - 3/2 = b
8/2 - 3/2 = b
5/2 = b

equation is y = 3/2x + 5/2...but we need it in standard form

y = 3/2x + 5/2
-3/2x + y = 5/2.....multiply both sides by -2
3x - 2y = -5 <==== ur standard form equation

3 0

2 years ago

Use the euclidean algorithm to find integers $x$ and $y$ such that $164x + 37y = 1,$ with the smallest possible positive value o

Advocard [28]

Well, let's use the Euclidean algorithm:

164 = 4×37 + 16

37 = 2×16 + 5

16 = 3×5 + 1

Then working backwards,

1 = 16 - 3×5

1 = 16 - 3×(37 - 2×16) = 7×16 - 3×37

1 = 7×(164 - 4×37) - 3×37 = 7×164 - 31×37

so that x = 7 and y = -31.

8 0

1 year ago

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 $\mu = 40, \sigma = 6$