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3 years ago

The Falcone family is planning to drive from Syracuse, New York to Buffalo, New York. On a map with a scale of

Mathematics

1 answer:

Ad libitum [116K]3 years ago

7 0

Answer:

The Falcones have to travel at 25 m/h to make the trip in 2 hours.

Step-by-step explanation:

In order to find the answer you have to use the formula to calculate speed:

speed=distance/time

distance=50 miles. The stament indicates that the distance between Syracuse and Buffalo is 1 inch and that the map has a scale of inch = 50 miles.

time=2 hours

Now, you can replace the values on the formula:

speed=50 miles/2 hours

speed=25 m/h

According to this, the answer is that the Falcones have to travel at 25 m/h to make the trip in 2 hours.

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4 years ago

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Suppose you are buying orange juice and you want to find the best deal. You find four different brands that offer various sizes

Alenkinab [10]

Answer: 3rd brand.

Step-by-step explanation:

1st brand:

6 oz cost $1.25

The amount per ounce will be:

= $1.25/6

= $0.21

2nd brand:

8 oz cost $1.33

The amount per ounce will be:

= $1.33/8

= $0.17

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12 oz cost $1.50

The amount per ounce will be:

= $1.50/12

= $0.125

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16 oz cost $2.10

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= $2.10/16

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From the calculation, the 3rd brand of orange juice is the better but as it's cheaper than others.

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3 years ago

A sample of blood pressure measurements is taken for a group of adults, and those values (mm Hg) are listed below. The values

Slav-nsk [51]

Answer:

Systolic on right

$\hat{CV} =\frac{18.68}{127.5}=0.147$

Systolic on left

$\hat{CV} =\frac{12.65}{74.2}=0.170$

So for this case we have more variation for the data of systolic on left compared to the data systolic on right but the difference is not big since 0.170-0.147 = 0.023.

Step-by-step explanation:

Assuming the following data:

Systolic (#'s on right) Diastolic (#'s on left)

117; 80

126; 77

158; 76

96; 51

157; 90

122; 89

116; 60

134; 64

127; 72

122; 83

The coefficient of variation is defined as " a statistical measure of the dispersion of data points in a data series around the mean" and is defined as:

$CV= \frac{\sigma}{\mu}$

And the best estimator is $\hat {CV} =\frac{s}{\bar x}$

Systolic on right

We can calculate the mean and deviation with the following formulas:

[te]\bar x = \frac{\sum_{i=1}^n X_i}{n}[/tex]

$s= \frac{\sum_{i=1}^n (x_i -\bar X)^2}{n-1}$

For this case we have the following values:

$\bar x = 127.5, s= 18.68$

So then the coeffcient of variation is given by:

$\hat{CV} =\frac{18.68}{127.5}=0.147$

Systolic on left

For this case we have the following values:

$\bar x = 74.2 s= 12.65$

So then the coeffcient of variation is given by:

$\hat{CV} =\frac{12.65}{74.2}=0.170$

So for this case we have more variation for the data of systolic on left compared to the data systolic on right but the difference is not big since 0.170-0.147 = 0.023.

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3 years ago

The sum of the quotient of a number and and 3 and 8 is 16 what is the number

zhuklara [117]

After having done this on paper:

$\frac{n}{3} + 8 = 16$

We want to isolate the variable, and the first step is to subtract the 8.

$\frac{n}{3} = 8$

Since the n is being multiplied by 3, and that = 8, we can multiply both sides by 3.

n = 24

Let me know if this helped you understand better.

Also, you can check this by substituting in 24 for n.

5 0

3 years ago