Melinda earns 5 minutes to play video games for every hour she spends on homework.

Consider the two data sets below:

alina1380 [7]

Answer:

Option c) The data sets will have the same values of their interquartile range.

Explanation:

1. The values are in order: they are in increasing oder, from lowest to highest value.

2. Calculate the interquartile range.

Interquartile range, IQR, is the third quartile, Q3, less the first quartile Q1:

IQR = Q3 - Q1

To find the first and the third quartile, first find the median:

Data Set 1: 19, 25, 35, 38, 41, 49, 50, 52, 59

[19, 25, 35, 38], 41, [49, 50, 52, 59]

↑

median = 41

Data Set 2: 19, 25, 35, 38, 41, 49, 50, 52, 99

[19, 25, 35, 38] , 41, [49, 50, 52, 99]

↑

median = 41

Now find the median of each subset: the values below the median and the values above the median.

Data set 1: First quartile

[19, 25, 35, 38],

↑

Q1 = [25 + 35] / 2 = 30

Third quartile

[49, 50, 52, 59]

↑

Q3 = [50 + 52] / 2 = 51

IQR = Q3 - Q1 = 51 - 30 = 21

Data set 2: First quartile

[19, 25, 35, 38]

↑

Q1 = [25 + 35] / 2= 30

Third quartile

[49, 50, 52, 99]

↑

Q3 = [52 + 50]/2 = 51

IQR = 51 - 30 = 21

Thus, it is shown that the data sets have will have the same values for the interquartile range: IQR = 21. (option c)

This happens because replacing one extreme value (in this case the maximum value) by other extreme value does not affect the median.

An outlier will change the range because the range is the maximum value less the minimum value.

5 0

3 years ago

Mary is rolling a standard six-sided die and spinning on a spinner with the number 1-8.

Readme [11.4K]

Answer:

a) Dice and spinner are different objects, with no relation between themselves, and thus her dice rolls and spinning outcomes are independent.

b) $\frac{1}{48}$ probability of her rolling a 4 and spinning an 8.

c) $\frac{1}{8}$ probability of her rolling an even number and spinning a number less than 3.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

A) Are her dice rolls and spinning outcomes independent or dependent?

Dice and spinner are different objects, with no relation between themselves, and thus her dice rolls and spinning outcomes are independent.

B) What is the probability of her rolling a 4 and spinning an 8?

Since the events are independent, we find each separate probability and multiply them.

Probability of rolling a 4:

One side out of 6 on the dice. So

$P(A) = \frac{1}{6}$

Probability of spinning an 8:

One side out of 8 on the spinner. So

$P(B) = \frac{1}{8}$

Probability of rolling a 4 and spinning an 8:

$P(A \cap B) = P(A)P(B) = \frac{1}{6} \times \frac{1}{8} = \frac{1}{48}$

$\frac{1}{48}$ probability of her rolling a 4 and spinning an 8.

C) What is the probability of her rolling an even number and spinning a number less than 3?

Since the events are independent, we find each separate probability and multiply them.

Probability of rolling an even number:

2, 4 or 6(3 sides out of 6). So

$P(A) = \frac{3}{6} = \frac{1}{2}$

Probability of spinning a number less than 3:

Two numbers(1 or 2) out of 8 on the spinner. So

$P(B) = \frac{2}{8} = \frac{1}{4}$

Probability of rolling an even number and spinning a number less than 3:

$P(A \cap B) = P(A)P(B) = \frac{1}{2} \times \frac{1}{4} = \frac{1}{8}$

$\frac{1}{8}$ probability of her rolling an even number and spinning a number less than 3.

8 0

2 years ago

Yayyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Umnica [9.8K]

Answer:

It b

Step-by-step explanation:

We know this because 1/2 is 0.5 while 2/3 is 0.67. With this we can say that 1/2 is least than 2/3

Hope this Helped

7 0

2 years ago

A rental car agency rents cars for $32 per day. They also charge $0.15 per mile driven. If you are taking a 5-day trip and have

xz_007 [3.2K]

So the equation is 32x+0.15y = $250
You know that you’re going to a 5-day trip so you can change x to 5
32(5)+0.15y = $250
You multiply 32 by 5 = 160
$160+0.15y = $250
And to simplify the equation(to make it easier) you subtract 160 on both sides
0.15y = $90
Now you’re trying to find y, so divide 90 by 0.15 to find the maximum of miles you can drive.
y = 600 mi
The maximum amount of miles you can drive is 600

Graph:
I can’t show any pictures sorry
But this is how you do it
Make a number line
Graph 600 with a closed circle, like this: ●
Then make an line going to the left(because you can’t go any more than 600)

Hope this helps! :^)

6 0

3 years ago

Determine the value of y in the proportion 6y−10/5+7y =12 .

ira [324]

its none of them? 6y - 10/5 +7y = 12 10 divided by 5 equals 2

it will now look like this: 6y - 2 + 7y = 12

then your going to want to add 2 to both sides of the equation.

it will now look like this: 6y -2 + 7y + 2 = 12 + 2 = 14

simplify: 6y + 7y = 14

add the like terms: 13y = 14

5 0

3 years ago