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kvasek [131]
1 year ago
6

Elias likes to read during his summer breaks. The table below shows the number of pages in each book he read last summer and the

number of pages in each book he read this summer.
Number of Pages Elias Read during the Summer
Last summer: 140 220 190 180 190
This summer: 150 170 150 190 180

Which statement comparing the modes to the ranges is true?

A.The modes differ by 40 and the ranges differ by 40.

B.The modes differ by 20 and the ranges differ by 20.

C.The modes differ by 40, but the ranges differ by 20.

D.The modes differ by 20, but the ranges differ by 40.
Mathematics
2 answers:
user100 [1]1 year ago
7 0

Answer:

A.The modes differ by 40 and the ranges differ by 40.

Step-by-step explanation:

The mode of a data set is the value that occurs most often.

For the data from last summer, the value 190 is in the list twice, while all other values are only in once.  This means 190 is the mode.

For the data from this summer, the value 150 is in the list twice, while all other values are only in once.  This means 150 is the mode.  This also means the difference in modes is 190-150 = 40.

The range is the difference between the maximum and minimum values in a data set.  For last summer's data, the maximum is 220 and the minimum is 140; this gives us 220-140 = 80 for the range.

For this summer's data, the maximum is 190 and the minimum is 150; this gives us 190-150 = 40 for the range.  This means the difference in ranges is 80-40 = 40.

Rina8888 [55]1 year ago
5 0

Answer:

pretty sure its "A"

Step-by-step explanation:

:)))))))))))))))))))))))))))))))))))))))

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A street lamp casts a shadow 31.5 feet long, while an 8 foot-tall street sign casts a shadow of 14 feet long. What is the length
sergeinik [125]

Answer:

The answer to your question is the height of the lamp is 18.2 ft

Step-by-step explanation:

Data

Street lamp shadow = 31.5 ft

Street sign height = 8 ft

Street sign shadow = 14 ft

Street lamp height = x

Process

1.- To find the height of the lamp use proportions. In this kind of problem, we do not look for the length, but the shadow.

Street lamp height/street lamp shadow = street sign height/street sign

                                                                                                         shadow

Substitution

                                             x / 31.5 = 8 / 14

Solve for x

                                            x = (31.5)(8) / 14

Simplification

                                            x = 254.4 / 14

Result

                                            x = 18.2 ft              

4 0
2 years ago
Carly will be going to college in 3 years. She anticipates that she will need $12,000 to pay for the first year. She currently h
kupik [55]
<span>Carly needs to deposit  $350 into the savings account per month over the next 3 years to be able to pay for her first year of college</span>
4 0
2 years ago
Please help I will give brainliest
lutik1710 [3]

Answer:

Angle PQW is equal to 35 degrees

Step-by-step explanation:

Angle PQW = 36x - 1

Angle WQR = 134x

Angle PQR = 169 degrees

To find angle PQW, Set Angles PQR and WQR to PQW. The equation should look like this:

PQR - WQR = PQW

Substitute in the values

169 - 134x = 36x - 1

Now add 134x to both sides and add 1 to both sides.

170 = 170x

Now divide 170 from both sides

x = 1

Plug x into angle PQW

36(1) - 1 = 35

6 0
2 years ago
A school baseball team raised $810 for new uniforms. Each player on the team sold one book of tickets. There were 10 tickets and
Lena [83]

Answer:

  • 270 tickets were sold
  • not needed: books per player, tickets per book

Step-by-step explanation:

To find the number of tickets sold, the total revenue needs to be divided by the revenue per ticket:

  (total revenue)/(revenue/ticket) = total tickets

  $810/$3 = 270 . . . total tickets

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None of the other numbers in the problem are needed: books per player (1), tickets per book (10).

3 0
1 year ago
During a field trip, 60 students are put into equal-sized groups. Describe two ways to interpret 60÷5 60 ÷ 5 in this context. Fi
Afina-wow [57]

The second question:

Consider the division expression 7\frac{1}{2} / 2. Select all multiplication equations that correspond to this division expression.

2 * ? = 7\frac{1}{2}     7\frac{1}{2} * ?= 2     ? * 2  = 7\frac{1}{2}

2* 7\frac{1}{2} = ?    ?  * 7\frac{1}{2} = 2

Answer:

1. See Explanation

2. 2 * ? = 7\frac{1}{2}     and     ? * 2  = 7\frac{1}{2}

Step-by-step explanation:

Solving (a):

Given

Students = 60

Group = Equal\ Sized

Required

Interpret \frac{60}{5} in 2 ways

<u>Interpretation 1:</u> Number of groups if there are 5 students in each

<u>Interpretation 2:</u> Number of students in each group if there are 5 groups

<u>Solving the quotient</u>

Quotient = \frac{60}{5}

Quotient = 12

<u>For Interpretation 1:</u>

The quotient means: 12 groups

<u>For Interpretation 2:</u>

The quotient means: 12 students

Solving (b):

Given

7\frac{1}{2} / 2

Required

Select all equivalent multiplication equations

Let ? be the quotient of t 7\frac{1}{2} / 2

So, we have:

7\frac{1}{2}/2 = ?

Multiply through by 2

2 * 7\frac{1}{2}/2 = ? * 2

7\frac{1}{2} = ? * 2

Rewrite as:

? * 2 = 7\frac{1}{2}  --- This is 1 equivalent expression

Apply commutative law of addition:

2 * ? = 7\frac{1}{2}  --- This is another equivalent expression

8 0
1 year ago
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