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3 years ago

13

A map is drawn with a scale of 1 inch= 15 miles. Nichol measured the distance to the next town as 3 inches. How many miles does

she have to travel fo get to the next town? SHOW YOUR WORK!!!!

1 answer:

Nikolay [14]3 years ago

7 0

Answer:

45 miles

Step-by-step explanation:

if 1 in = 15 mi so put x=15

3 is 3 times 1 so x=3 and 3*15=45

Your answer is 45 miles.

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The surface areas of two similar solids are 169 m2 and 81 m2. the volume of the larger solid is 124.92 m3. which proportion corr

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By finding the scale factor, we will see that the volume of the smaller solid is 86.75 m³.

<h3>How to get the volume of the smaller solid?</h3>

If the solids are similar, then there is a scale factor between the two. Then the relation between the areas is equal to the scale factor squared, and the relation between the volumes is equal to the scale factor cubed.

This means that if the areas are 169 m² and 81 m², then we can write:

169 m² = (k²)*81 m²

Solving for k, we get:

k = √(169 m²/81 m²) = 1.44

Then if the volume of the large solid is 124.92m³ we can write:

124.92m³ = k³*V

Replacing k and solving for V we get:

124.92m³ = (1.44)³*V

(124.92m³/ (1.44)³) = V = 86.75 m³

If you want to learn more about scale factors:

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2 years ago

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I need this asap pleasee!

miv72 [106K]

Answer:

The answers are below

Step-by-step explanation:

The greater sign is > and the less then symbol is <

Using the red arrows on the number line, you can tell which one is bigger or less. The dot is colored in so it has to have a line under it. So for the first one (top, left), The red arrow is pointing to the right side meaning x is bigger than 3. Therefore x ≥ 3.

In the next one (top, right) the arrow is pointing to the negative side so that one must be less than 3. The dot is also colored in meaning it is: x ≤ 3

In the next one (bottom, left) the arrow is pointing to the right, the dot not colored in, so it has no line. Therefore it is x > 3

Last one (bottom right) the arrow is pointing left, dot is white meaning that the answer is x < 3

If you're wondering what the open dots and closed dots mean:

An open dot is used to show that the ray's endpoint is not a component of the solution when the inequality is "strict" ( < or >).

A closed dot is used to denote that the endpoint is a component of the solution for the other types of inequalities (≥ and ≤ ).

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2 years ago

Factor completely. n 2 + 7n - 44 (n - 4)(n - 11) (n - 4)(n + 11) (n + 4)(n - 11)

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The answer is (n+11)(n-4). You want to find what multiplies to make -44 and what adds to make 7.

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Gallon of gas: $2.15, 15% markup

Irina18 [472]

The answer would be $2.47

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The advertised duration of the trip is 2 hours and 15 minutes. The company operating the ferry would like to increase its operat

vesna_86 [32]

The 2.88 minutes have to reduce the standard deviation to increase the efficiency.

According to the statement

we have given that the duration of the trip is 2 hours and 15 minutes. And we have to how much standard deviation be reduced to increase the operational efficiency.

So, For this purpose, we know that the

Let X be the time taken to reach the resort. Then it is given that the

N (μ , σ).

Here μ is 2 hours then

μ = 2*60 = 120 minutes.

And

Let σ be the reduced standard deviation such that new distributions becomes N (μ , σ)

Then P ( x <135)

here 135 is the minute format of 2 hours and 15 min.

So,

P ( x <135) = 0.95

And

P [ (x -120 / σ) < (135 -120 / σ)] = 0.95

P [ Z < ( 15 / σ)] = 0.95

And after solving it the

σ = 9.22 min.

i.e. 12 - 9.22 = 2.88 min.

So, The 2.88 minutes have to reduce the standard deviation to increase the efficiency.

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

The time it takes for a ferry to reach a summer resort from the mainland is Normally distributed with mean 2 hours and standard deviation 12 minutes. The advertised duration of the trip is 2 hours and 15 minutes. The company operating the ferry would like to increase its operational efficiency by reducing the standard deviation so that they are on time 95% of the time. How much do they have to reduce the standard deviation

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