a group of students collected old newspapers for a recycling project. the data shows the mass, in kilograms, of old newspapers collected by each student.

23, 35, 87, 64, 101, 90, 45, 76, 105, 60, 55
98, 122, 49, 15, 57, 75, 120, 56, 88, 45, 100.

A.) Find the range of the mass of the newspapers collected.
B.) Find the interquartile range.

Answer:

dont trust me but i think its subtraction or division

Step-by-step explanation:

Answer:

Step by step explanation

First, we have to convert 3 1/2 into a decimal, so we have to do the following:

1/2 = 1 divided by 2 3 1/2 = 3 + (1÷2) = 0.5 (1 ÷ 2 done by long division)

Then we add the whole number.

3 + 0.5 = 3.5

Next, we multiply

3.5 x 16 = 56 ounces.

Answer:

3 pounds and 8 ounces

Step-by-step explanation:

1 pound (lbs) = 16 ounces (oz)

Using both pounds and ounces, the problem is asking us to eliminate the decimal and substitute it for the number of ounces (a smaller unit than pounds)

So we know it is 3 pounds, but what is half a pound equal to in terms of ounces?

Remember 1 lb = 16 oz, so 1/2 of a lb = half of 16 oz

Half of 16 (or 16 ÷ 2) equals 8

Therefore, half a pound equals 8 ounces

Combining the two units together means the boxes weigh 3 pounds and 8 ounces

Answer:

c = 24

Step-by-step explanation:

Angle c is supplementary to 146 and their sum is 180

c + 146 = 180 subtract 146 from both sides

c = 34

9514 1404 393

Answer:

  (x, y) = (4, 5)

Step-by-step explanation:

The solution to the matrix equation ...

  [tex]\left[\begin{array}{cc}3&-2\\6&-5\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}2\\-1\end{array}\right][/tex]

is shown in the attachment. It is found by multiplying the equation on the left by the inverse of the coefficient matrix.

  [tex]\left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}4\\5\end{array}\right][/tex]

Answer:

Part A: c. 4.25x+7=53.75

Part B: 11

Step-by-step explanation:

4.25x+7=53.75

4.25x=46.75

x=11

Answer:

D.) 400

Step-by-step explanation:

I started by adding all the votes together

4+4+17+21=46

I then rounded 46 up to 50 to make the next step easier

I divided 5000 by 50 and got 100.

With that information, I can now multiply each original vote by 100 to make them more realistic to the number of voters (5000)

4*100=400

4*100=400

17*100=1700

21*100=2100

Now Ben has 2100 votes while Scott has 1700

Subtract 1700 from 2100 and you get 400

So Ben is expected to get approx. 400 more votes than Scott.

Hope I helped!! Maybe Brainliest answer?

Answer:

Step-by-step explanation:

AB and DC are parallel, so ∠B and ∠C are supplementary angles.

∠B = 180°-∠C = 79°

AD and BC are congruent. ∠A = ∠B = 79°

Answer:

Step-by-step explanation:

7.18/9 divide 9 and that would equal 2/1 so its 2

8.24/40 divide 8 and that would equal 3/5

9.7/21 divide 7 and that would equal 1/3

10.9/1 stays the same so its 9

Answer:

[tex]12.7[/tex]

Step-by-step explanation:

[tex]180 - 167.3 = 12.7 \\ < angle \: on\: a \: stright \: line \: is \: 180[/tex]

Answer:

y = 4x - 7

Step-by-step explanation:

Slope = 4 ; x1 = 2 , y1 = 1

Slope point form: y -y1 = m(x -x1)

y - 1 = 4(x - 2)

y - 1 = 4x - 2*4

y -1 = 4x - 8

   y = 4x - 8 +1

  y = 4x - 7

Answer:

Step-by-step explanation:

5 + 6 = 11 x 2 - 1 = 21 therefore its 21

Answer: 22

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

25*35=700

10*30=300

700-300=400

Answer:

B

Step-by-step explanation:

The circumference is just diameter x π (3.14 in this case) so 42 x 3.14 = 131.88

Answer:

B

Step-by-step explanation:

the circumference of a circle is

2×pi×r

with r being the radius (half the diameter).

2r is then the diameter.

so, in our case the circumference is

42×pi = 42 × 3.14 = 131.88 mm

Answer:

y = 4

Step-by-step explanation:

Both the triangles are congruent by SSS postulate.

Therefore,

[tex]4y + 8 = 24 \\ (corresponding \: sides \: of \: \\ congruent \: \triangle s) \\ 4y = 24 - 8 \\ \\ 4y = 16 \\ \\ y = \frac{16}{4} \\ \\ y = 4[/tex]

Given:

Total number of book = 22

Number of white books = 6

Number of Purple books = 9

Number of green books = 7

To find:

The probability that Warren takes out a green book in both draws (with replacement).

Solution:

We know that,

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]P(\text{White})=\dfrac{6}{22}[/tex]

[tex]P(\text{Purple})=\dfrac{9}{22}[/tex]

[tex]P(\text{green})=\dfrac{7}{22}[/tex]

After replacement, the probability of event remains the same and the independent.

The probability that Warren takes out a green book in both draws is:

[tex]P=P(\text{green})\times P(\text{green})[/tex]

[tex]P=\dfrac{7}{22}\times \dfrac{7}{22}[/tex]

[tex]P=\dfrac{49}{484}[/tex]

Therefore, the correct option is (a).

Answer:

6$

Step-by-step explanation:

Answer:

I = $ 6.00

Step-by-step explanation:

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 10%/100 = 0.1 per year,

then, solving our equation

I = 60 × 0.1 × 1 = 6

I = $ 6.00

The simple interest accumulated

on a principal of $ 60.00

at a rate of 10% per year

for 1 years is $ 6.00.

Hope its correct

9514 1404 393

Answer:

  x ≤ -14

Step-by-step explanation:

We assume you want to solve ...

  x/(-7) +14 ≥ 16

Subtract 14, then multiply by -7.

  x/(-7) ≥ 2 . . . . subtract 14

  x ≤ -14 . . . . . . multiplying by a negative number reverses the inequality

The solution is shown on the number line below.

Answer:

99% Confidence interval is given as;

Lower Limit = 0.062

Upper Limit = 0.130

Step-by-step explanation:

Given the data in the question;

x = 48

n = 500

sample proportion p = x/n = 48/500 = 0.096

with 99% confidence

significance level ∝ = 1 - 99% = 1 - 0.99 = 0.01

∝/2 = 0.01 / 2 = 0.005

Critical Z-value = [tex]Z_{\alpha /2[/tex] = [tex]Z_{0.005[/tex]  = 2.576

Now,

Standard error of p : SE = √[ (p × ( 1 - p) / n ) ]

we substitute

SE = √[ (0.096 × ( 1 - 0.096) / 500 ) ]

SE = √[ (0.096 × 0.904) / 500  ]

SE = √[ 0.086784 / 500 ) ]

SE = 0.0131745

so

Margin of Error E = [tex]Z_{\alpha /2[/tex] × SE

E = 2.576  × 0.0131745

E = 0.0339

Now 99% confidence interval will be

⇒ 0.096 ± 0.0339

⇒ (0.096 - 0.0339, 0.096 + 0.0339 )

⇒ ( 0.062, 0.130 )

Lower Limit = 0.062

Upper Limit = 0.130

Answer:

Infinitely many solutions.

Step-by-step explanation:

The given system of equations are :

3x+y=-5 ...(1)

3y+15=-9x

y+5 = -3x

or

3x+y = -5 ....(2)

Here, [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex]

It means, two lines are coincident. It means they have infinitely many solutions.

The Volume of dirt required for the Margo's garden which is made of 2 rectangular prisms is, 107 cubic feet, So option D is correct

In mathematics, Space occupied by three dimensional objects is called Volume. Basically it is a space within closed region of  every three dimensional objects.

In given problem, we have two rectangular prisms

One has sides (1 feet, 3  feet, 3  feet)

Another one has sides (2 feet, 7 feet, 7 feet)

Volume of a rectangular prism  = Length×Height×Width

Volume of a rectangular prism 1  = 3×1×3 = 9

Volume of a rectangular prism 2  = 7×2×7 = 98

Total Volume = 107

Hence, Total dirt required  107 cubic feet

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Answer:

Step-by-step explanation:

Answer:

m > 21

Step-by-step explanation:

Given the inequality expression

2/3m + 3 < m - 4

Multiply through by 3

2/3 m * 3 + 3(3) < 3(m-4)

2m+9 < 3m-12

Collect the like terms

2m - 3m < -12 - 9

-m < -21

Multiply through by -1

-1(-m)>-1(-21)

m > 21

Hence the required solution is m > 21

Answer:

24

Step-by-step explanation:

30% of the pie chart is pizza. 30% of 80 = 0.3 * 80 = 24

Answer:

The answer is 24 students

Step-by-step explanation:

The pizza section of the pie chart is 30% and the total amount of students is 80 so you just have to find 30% of 80. You find this by multiplying 80 times .3 . Then you will get 24.

Answer:

9/16 yd^2

Step-by-step explanation:

2 1/4 as an improper fraction is 9/4, 9/4 * 1/4 = 9/16, and since you are multiplying two yards, thats yard^2, so 9/16 yd^2

Step-by-step explanation:

5x² - 8x + 2 + x² - 6x +3

= 6x²- 14x + 5

Answer:

Box-4 → (+)

Step-by-step explanation:

To find the value in the 4th box, we will expand the given logarithmic expression.

log₄x⁵y³ = log₄x⁵ + log₄y³

             = 5log₄x + 3log₄y

Therefore, each box will have the values as,

Box-1 → 5

Box-2 → log₄

Box-3 → x

Box-4 → (+)

Box-5 → 3

Box-6 → log₄

Box-7 → y

There is the (+) sign in Box-4.

Answer:

D.8

Step-by-step explanation:

Since your chance of success is only 1 out of 5 or rather, 20%, so

40 divided by 5 equals 8, so the answer is D.

(Of course, this is just what SHOULD happen, not what CERTAINLY can happen.)

Expected number of answers to be correct = 8.

Measure of the likelihood of an event happening is called Probability. Probability can be between 0 to 1. 0 means the event cannot happen, 1 indicates the specific event. The sum of the probabilities of all events in the sample space is 1.

Probability can be defined as the ratio between the number of favorable outcomes and the total number of outcomes of an event. For a trial with “n” number of results, the number of favorable outcomes can be denoted by x. The formula for calculating the probability of an event is as follows.

Probability (Event) = Favorable Outcome/Total Outcome = x/n  

Given,

Number of questions = 40

One of 5 choices is correct

then, probability of getting correct option = 1/5

Number of correct answers = 40 × 1/5 = 8

Hence, 8 answers are expected to be correct.

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Answer:

38 pound

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