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mel-nik [20]
3 years ago
9

A map is drawn to scale such that 1/8 inch represents 65 feet. if the shortest route from the dorm to the grocery store measures

23 ¼ inches on the map, how many miles is it to the grocery store? round to the nearest tenth.
Mathematics
1 answer:
enot [183]3 years ago
4 0
The answer is miles. I'll use decimals in my explanation.
23.25 divided by 0.2 equals 116.25
116.25 multiplied by 65 equals 7556.25
7556.25 divided by 5280 equals 1.43110795455
Rounded to the nearest tenth that's 1.4
Hope it helped.
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A family has two cats named Gordo and Flaco. Gordo weighs 15 pounds and Flaco weighs 8 pounds. A cat’s weight is classified as u
Elena-2011 [213]

Answer:

Gordo's weight = 15 pounds

It is outside the healthy weight range and is in the top 5% of weights of cats.

Gordo's weight makes Gordo unhealthy.

Step-by-step explanation:

μ = mean weight = 9.5 pounds

σ = standard deviation = 1.5 pounds

This is a normal distribution problem

We first calculate the limit of the bottom 5% of weights

Let the z-score for this limit be z'

P(z < z') = 0.05

From the normal distribution table,

z' = -1.645

And the limit for the top 5% which is z" = 1.645.

The weight that corresponds to these scores are then calculated.

Standardized scores are given as

z = (x - μ)/σ

So,

z' = (limit for the bottom 5% - μ)/σ

-1.645 = (limit for the bottom 5% - 9.5)/1.5

limit of the bottom 5% = (-1.645)(1.5) + 9.5 = 7.033 pounds

z" = ( (limit for the top 5% - μ)/σ

1.645 = (limit for the top 5% - 9.5)/1.5

limit of the bottom 5% = (1.645)(1.5) + 9.5 = 11.968 pounds

Therefore the healthy weight range for cats is (7.033 < x < 9.968)

Gordo's weight = 15 pounds

It is outside the healthy weight range and is in the top 5% of weights of cats.

Gordo's weight makes the cat unhealthy.

Flaco's weight = 8 pounds

Flaco's weight lies in the healthy weight range for cats. Hence, Flaco is a healthy cat.

8 0
3 years ago
akio buys scissors for 3.79 tape for 2.57 and pens for 5.80 the sales tax is 6.25% what is the amount of tax for akios purchases
Alisiya [41]
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7 0
3 years ago
4(2k-3)+1=8k-11 help pls
Fofino [41]
4(2k - 3) + 1 = 8k - 11
8k - 12 + 1 = 8k - 11
8k - 11 = 8k - 11

So, these two equations equal to the same thing.
Glad I could help and gave a fantastic day!
8 0
3 years ago
How do I solve this?​
Neporo4naja [7]

Answer:

v = 22

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

\frac{BI}{MO} = \frac{BG}{MP} , substitute values

\frac{v}{33} = \frac{64}{96} ( cross- multiply )

96v = 2112 ( divide both sides by 96 )

v = 22

3 0
3 years ago
Evaluate the following expressions, and justify your answers.<br> WhatPower5(1)
Zepler [3.9K]

Answer:

correct answer is 0

Step-by-step explanation:

given data  as per question

WhatPower5(1)

to find out

Evaluate the expressions WhatPower5(1)

solution    

so here  we know that whatpower mean exponent of equation so we get by given equation  

so

we know whatpower5(1)  = 0

because  here

we know that  anything exponent 0 is equal to 0

so here we can say that

that is 5^{0} =  1

so that  the exponent  is here 0 of 5  that become 1

so correct answer is 0

5 0
3 years ago
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