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yuradex [85]
3 years ago
9

It takes Lara 1/3 hour to walk to the library 3/4 mile away. What is her walking pace?

Mathematics
2 answers:
stiv31 [10]3 years ago
6 0
2 1/4 miles per hour.
VikaD [51]3 years ago
3 0
The answer would be 2 1/4 the equations would be 3/4 divided by 1/3 = 3/4 x 3/1 = 9/4 = 2 1/4
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Jose wants to find how many gallons of water he needs to fill his cube shaped aquarium. one side of his aquarium is 4 feet long.
MatroZZZ [7]

Answer:

4x4x4 = 64 cubic ft

1 cubic foot = 7.48 gallons

64 x 7.48 = 478.72 gallons

5 0
3 years ago
The mass of the sun is 2.13525×1030 kilograms. The mass of Mercury is 3.285×1023 kilograms. How many times greater is the mass o
Helga [31]
<span>6.5 x 10^6 To answer this question, you need to divide the mass of the sun by the mass of mercury. So 2.13525 x 10^30 / 3.285 x 10^23 = ? To do the division, divide the mantissas in the normal fashion 2.13525 / 3.285 = 0.65 And subtract the exponents. 30 - 23 = 7 So you get 0.65 x 10^7 Unless the mantissa is zero, the mantissa must be greater than or equal to 0 and less than 10. So multiply the mantissa by 10 and then subtract 1 from the exponent, giving 6.5 x 10^6 So the sun is 6.5 x 10^6 times as massive as mercury.</span>
8 0
3 years ago
Read 2 more answers
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.

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

-1.28 = \frac{X - 40}{6}

X - 40 = -1.28*6

X = 32

The warranty period should be of 32 months.

7 0
3 years ago
!!! 25 POINTS HELP PLS
weqwewe [10]

Answer:

Option (3)

Step-by-step explanation:

Given functions are,

f(x) = \frac{1}{4^x}

g(x) = log(2x)

By using a graphing utility we can draw the graphs of the given system of equations.

Common points of the graph will be the solutions of the equations,

From the graph attached,

Solution of the functions is → (0.937, 0.273)

                                             → (0.9, 0.3)

Option (3) will be the answer.

3 0
3 years ago
Simplify the expression -2 (x + 4 + 5y).
dezoksy [38]

Answer:

-2x-10y-8

Step-by-step explanation:

Rearange terms

-2(x+4+5y)

-2(x+5y+4)

Distribute

5 0
3 years ago
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