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3 years ago

the dot plot shows the lengths of the 12 trailers sold at a store last month. Which statement about the data is true?

Mathematics

1 answer:

trasher [3.6K]3 years ago

5 0

*see attachment for the dot plot

OPTIONS:

A. The interquartile range is 7, and the range is 17.

B. The interquartile range is 7, and the range is 11.

C. The interquartile range is 2.75, and the range is 17.

D. The interquartile range is 2.75, and the range is 11.

Answer:

B. The interquartile range is 7, and the range is 11.

Step-by-step explanation:

From the dot plot display given in the attachment, we can find out the range and interquartile range of the data represented.

The range is the difference between the maximum value and the minimum value.

Min = 6

Max = 17

Range = 17 - 6 = 11

Interquartile range = Q3 - Q1

Q1 falls within the data value, 6.

Q3 falls within the data value 13.

Interquartile range = 13 - 6 = 7.

The statement that is true about the data represented is: "The interquartile range is 7, and the range is 11."

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There are five seniors in a class. For each situation, write how the binomial formula is used to calculate the probability.

ololo11 [35]

A) The answer is 5.

nCr = n! / (r! (n - r)!)
n - number of things to be chosen from
r - number of chosen things

There are five seniors in a class: n = 5
<span>I choose one senior: r = 1
</span>
nCr = n! / (r! (n - r)!)
5C1 = 5! / (1! (5 - 1)!)
= (5 * 4 * 3 * 2 * 1) / (1 * 4!)
= 120 / (4 * 3 * 2 * 1)
= 120 / 24
= 5

b) The answer is 10.

nCr = n! / (r! (n - r)!)
n - number of things to be chosen from
r - number of chosen things

There are five seniors in a class: n = 5
I choose two seniors: r = 2

nCr = n! / (r! (n - r)!)
5C2 = 5! / (2! (5 - 2)!)
= (5 * 4 * 3 * 2 * 1) / ((2 * 1) * 3!)
= 120 / (2 * (3 * 2 * 1))
= 120 / (2 * 6)
= 120 / 12
= 10

c) The answer is 10.

nCr = n! / (r! (n - r)!)
n - number of things to be chosen from
r - number of chosen things

There are five seniors in a class: n = 5
I choose three seniors: r = 3

nCr = n! / (r! (n - r)!)
5C3 = 5! / (3! (5 - 3)!)
= (5 * 4 * 3 * 2 * 1) / ((3 * 2 * 1) * 2!)
= 120 / (6 * (2 * 1))
= 120 / (6 * 2)
= 120 / 12
= 10

d) The answer is 5.

nCr = n! / (r! (n - r)!)
n - number of things to be chosen from
r - number of chosen things

There are five seniors in a class: n = 5
I choose four seniors: r = 4

nCr = n! / (r! (n - r)!)
5C4 = 5! / (4! (5 - 4)!)
= (5 * 4 * 3 * 2 * 1) / ((4 * 3 * 2 * 1) * 1!)
= 120 / (24 * 1)
= 120 / 24
= 5

e) The answer is 1.

nCr = n! / (r! (n - r)!)
n - number of things to be chosen from
r - number of chosen things

There are five seniors in a class: n = 5
I choose five seniors: r = 5

nCr = n! / (r! (n - r)!)
5C5 = 5! / (5! (5 - 5)!)
= (5 * 4 * 3 * 2 * 1) / ((5 * 4 * 3 * 2 * 1) * 1!)
= 120 / (120 * 1)
= 120 / 120
= 1

8 0

3 years ago

HELPPP PLEASE ASAP!!! I don’t know how to solve this problem nor where to start? Can some please help me out and explain how you

nasty-shy [4]

Step-by-step explanation:

Count the number of times you have to move the decimal point to the right until it is to the right of the 1st nonzero number.

a) You have to move the decimal point 11 times until it gets to the right of the 1st nonzero number, which is 7. You then rewrite this number as

$7.2×10^{-11}$

The exponent of 10 is a negative number because you moved the decimal point to the right.

b) Similarly, you have to move the point 9 times to the right so the answer is

$9.5×10^{-9}$

5 0

3 years ago

The top of the John Hancock Building is a rectangle whose length is 60 ft more than the width. The perimeter is 520 feet. What i

statuscvo [17]

Answer:

160 ft

Step-by-step explanation:

We have

2(length + width)= perimeter

than,

let, width =x

now,

2(x+60+x) = 520

or, 2x+60 = 260

or, 2x = 200

or, x = 100

so length is 100+60 = 160

5 0

1 year ago

Find the unknown sizes of angles:

almond37 [142]

X=92

X+Y=180

Y=180-92

Y=88

Z=Y=88

6 0

2 years ago

Read 2 more answers

Seven less than a number is 14 more than 2 times that number. What is the number?

ratelena [41]

Answer:

x=-21

Step-by-step explanation:

x-7=2x+14

-7=x+14

-21=x

4 0

3 years ago