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Bezzdna [24]
2 years ago
14

Addie walked 2 1 2 miles in 45 minutes. Suzie covered 2 2 5 miles in 2 3 of an hour. Which girl walked faster? By how much?

Mathematics
1 answer:
kobusy [5.1K]2 years ago
7 0

Answer:

Suzie walks faster by 0.27 miles per hour.

Step-by-step explanation:

Addie walked 2\frac{1}{2} miles in 45 minutes and Suzie covered 2\frac{2}{5} miles in \frac{2}{3} of an hour.

So, Addie walked 2.5 miles in 45 minutes i.e. \frac{45}{60} = 0.75 hours.

Therefore, the walking speed of Addie is \frac{2.5}{0.75} = 3.33 miles per hour.

Again, Suzie covered 2\frac{2}{5} i.e. 2.4 miles in \frac{2}{3} i.e. 0.67 hours.

So, the walking speed of Suzie is \frac{2.4}{0.67} = 3.6 miles per hour.

Hence, Suzie walks faster by (3.6 - 3.33) = 0.27 miles per hour. (Answer)

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Step-by-step explanation:

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2 years ago
A standard number cube has 6 sides labeled 1 to 6. apu rolls a standard number cube 30 times. How many times can
Leviafan [203]

Answer:

The expected value of rolling a 5 or 6 is 10.

Step-by-step explanation:

The sample space of rolling a standard number cube is:

S = {1, 2, 3, 4, 5 and 6}

The cube is standard, this implies that each side has an equal probability of landing face-up.

So, the probability of all the six outcomes is same, i.e. \frac{1}{6}.

Now it is provided that Apu rolls the cube <em>n</em> = 30 times.

Let the random variable <em>X</em> represent the value on the face of cube.

The event of rolling a 5 and rolling a 6 are mutually exclusive, i.e. they cannot occur together.

So, P (X = 5 and X = 6) = 0.

Compute the probability of getting a 5 or 6 as follows:

P (X = 5 or X = 6) = P (X = 5) + P (X = 6) - P (X = 5 and X = 6)

                            = P (X = 5) + P (X = 6)

                            =\frac{1}{6}+\frac{1}{6}\\\\=\frac{2}{6}\\\\=\frac{1}{3}

Compute the expected value of rolling a 5 or 6 as follows:

E(X = 5\ \text{or}\ X = 6)=n\times P(X = 5\ \text{or}\ X = 6)

                               =30\times \frac{1}{3}\\\\=10

Thus, the expected value of rolling a 5 or 6 is 10.

8 0
2 years ago
When Margo makes cheese ravioli, she uses both ricotta and mozzarella cheeses to make the filling. She often varies the proporti
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Answer:

what is cheese ravioli tell Martha to go to the grocery store and get some chef Boyardee ravioli

6 0
2 years ago
The population of a town can be modeled by the regression equation y = 20,000(1.03x). Which is the best prediction for the popul
bixtya [17]

Answer:

The best prediction for the population in year 25 is 41,876\ people

Step-by-step explanation:

we have a exponential function of the form

y=a(b^{x})

where

a is the initial value

b is the base

In this problem

a=20,000\ people

b=1.03

b=1+r

r=b-1=1.03-1=0.03

r=3\%

so

y=20,000(1.03^{x})

For x=25\ years

substitute

y=20,000(1.03^{25})

y=41,875.56\ people

Round up

y=41,876\ people

4 0
2 years ago
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Here is the scale model of a fountain at a museum the scale is 1:30 how many boulders are in the real fountain
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Answer:

When we do a scale model of something (like a building, a house, or whatever) al the properties of the original thing must also be in the model.

So for example, you want to do a model of a house, and in the backyard of the house there are 4 trees, then in the model of the house you also need to put 4 trees in the backyard (indifferent of the scale of the model).

Then the number of boulders in the really fountain should be the same as the number of boulders in the scale model of the fountain.

6 0
2 years ago
Read 2 more answers
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