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n200080 [17]
2 years ago
15

A shipping box in the shape of a cube has edge lengths of 6 inches. it can hold 24 staplers. if the dimensions of a shipping box

are all doubled, how many staplers can the larger box hold? 24 staplers 48 staplers 96 staplers 192 staplers

Mathematics
2 answers:
soldi70 [24.7K]2 years ago
7 0

The correct answer is:

D. 192 staplers.

If the dimensions of a shipping box are all doubled the larger box hold 192 staplers.

|Huntrw6|

Aloiza [94]2 years ago
3 0
We started with one small box. Then we added a box on the side to make it twice as long. Then we added boxes on top to make it twice as tall. Then we added boxes behind it to make it twice as long. That gave us 8 of the small boxes.

Then we multiplied 8 boxes by 24 staplers in each box and got 192 boxes.

You might be interested in
The parallel dotplots below display the girths (belly
liraira [26]

Answer:

The standard deviation for the distribution of girths is

about the same for both male and female pigs.

Step-by-step explanation:

Step 1

We will interprete the dotplots

For the Male pigs

24, 26, 26, 26, 26, 26, 26, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 30, 30, 30, 30, 30, 30, 32

Range

Maximum value - Minimum value

= 32 - 24

= 8

IQR = Interquartile range = Q3 - Q1

Q1 formula = 1/4(n + 1)th

=n = 25

= 1/4(25 + 1)

= 1/4(26)

= 26/4

= 6.5

This mean the value is between the 6th and 7th value

6th value = 26

7th value = 26

Q1 = 26 + 26/2

Q1 = 26

Q3

Q3 formula = 3/4(n + 1)th

=n = 25

= 3/4(25 + 1)

= 3/4(26)

= 78/4

= 19.5

This mean the value is between the 19th and 20th value

19th value = 30

20th value = 30

Q3= 30+ 30/2

= 30

IQR = 30 - 26

= 4

Standard deviation

Mean

First we find the mean

= 24+ 26+26+ 26+ 26+ 26+26+28+ 28+ 28+ 28+28+ 28+ 28+28+ 28+28+28+30+ 30+30+ 30+30+30+32/28

= 700/25

= 28

Standard deviation Formula = √(x - mean)²/n - 1

= √[(24-28)² + (26- 28)² + (26 -28)² + (26 - 28)² +................ (32 - 28)²]/25 - 1

= √(16 + 4 + 4+ 4+ 4+4+ 4+0+ 0+ 0+ 0+0+ 0+ 0+ 0+0+0+0+ 4+ 4+4+4+4+ 4+ 16)/25 - 1

= √80/25 - 1

=√3.333333333

1.825741858

Female Pigs

21, 23, 23, 23,23,23,23,25, 25, 25, 25, 25, 25, 25, 25, 25, 25,25, 27, 27, 27, 27,27, 27, 29

Range:

Maximum value - Minimum value

= 29 - 21

8

IQR

IQR = Interquartile range = Q3 - Q1

Q1 formula = 1/4(n + 1)th

=n = 25

= 1/4(25 + 1)

= 1/4(26)

= 26/4

= 6.5

This mean the value is between the 6th and 7th value

6th value = 23

7th value = 23

Q1 = 23 + 23/2

Q1 = 23

Q3

Q3 formula = 3/4(n + 1)th

=n = 25

= 3/4(25 + 1)

= 3/4(26)

= 78/4

= 19.5

This mean the value is between the 19th and 20th value

19th value = 27

20th value = 27

Q3= 27+ 27/2

Q3 = 27

IQR = 27 - 23

= 4

First we find the Mean

=(21+23+23+23+23+23+23+25+ 25+ 25+ 25+25+ 25+ 25+ 25+25+25+25+27+27+ 27+27+27+ 27+29)/25

= 625/25

= 25

Standard deviation Formula = √(x - mean)²/n - 1

= √[(21-25)² + (23- 25)² + (23 -25)² + (23 - 25)² +................ (29 - 25)²]/25 - 1

= √(16 + 4 + 4+ 4+ 4+4+ 4+0+ 0+ 0+ 0+0+ 0+ 0+ 0+0+0+0+ 4+ 4+4+4+4+ 4+ 16)/25 - 1

= √80/25 - 1

=√3.333333333

1.825741858

Looking at the calculation above and comparing both the girths from the male and female

We can conclude that: The standard deviation for the distribution of girths is

about the same for both male and female pigs which is 1.825741858

5 0
2 years ago
Can we predict how fast a tennis player can hit a serve from the playerâs height? The following computer output and scatterplot
olga_2 [115]

Complete question :

The computer output and scatter plot output pertaining to the question can be found in the attached picture.

Answer:

Kindly check explanation

Step-by-step explanation:

A.) Relationship between height and fastest serve speed :

According to the scatterplot and Correlation Coefficient (R) value which can be obtauned by getting the square root of R²

R = √27.7%

R = 0.5263 = 52.63% ; this depicts a fairly strong positive correlation or relationship between height and fastest serve speed

B.)

Equation of least square regression line :

From the computer output and scatter plot above :

Recall :

y = mx + c

y =predicted variable (s fastest serve)

m= slope

x = predictor variable (height)

c = intercept

y = 84.98x + 68.81

C.) 27.7% of the variation in fastest speed can be explained by height while the remaining percentage is due to other variables

D.) fastest serve of tennis player with height 1.7m

y = 84.98x + 68.81

y = 84.98(1.7) + 68.81

y = 213.276km/hr

E.)

R = √27.7%

R = 0.5263 = 52.63% ; this depicts a fairly strong positive correlation or relationship between height and fastest serve speed

F.)

Height = 2.06m = x

y = 84.98(2.06) + 68.81

y = 243.8688 km/hr

Residual = Actual - predicted

Actual = 230 ; predicted = 243.8688

Residual = 230 - 243.8688

Residual = −13.8688

Hence, the model overestimated fastest serve speed of a 2.06 m tall player by −13.8688 km/hr

3 0
2 years ago
2. During typhoon Ambo, PAGASA tracks the amount of accumulating rainfall. For the first three hours of typhoon, the rain fell a
zmey [24]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following information:

First three hours of typhoon: rate of Rainfall. = 25mm per hour

Typhoon slows down for an hour : then Rainfall began again at a constant rate of 20 mm per hour for the next 2 hours

Piecewise function which models Rainfall ad a function of time

Amount of Rainfall as a function of time = f(t)

f(t) = 25t ; if t≤ 3

When typhoon slowed down for an hour :

f(t) = 0;

f(t) = 25*3 ; for t ∈ (3, 4)

Then Rainfall at a constant rate of 20mm for another 2 hours

f(t) = (25 *3) + 20(t - 4) ; for t ∈ (5, 6)

5 0
2 years ago
Charlene has a budget of $65. Beau and Belle dresses are $76.48. What inequality can be used to calculate how much of a markdown
Paraphin [41]
76.48
- 65.00
----------
$11.48
The answer for how much of a markdown would be 15%
The inequality
76.48 \geqslant 65 + .15
76.48 is greater than or equal to 65 + 15%
6 0
2 years ago
A tank contains 500 gallons of salt-free water. A brine containing 0.25 lb of salt per gallon runs into the tank at the rate of
Neporo4naja [7]

Answer:

0.0198 lbs per gallon

Step-by-step explanation:

amount of salt free water = 500 gallons

salt rate in = 1 gal/min

salt rate out = 1 gal/min

amount o salt in brine = 0.25 lb per gallon

Let the amount of salt in the tank be A(t) at any time t.

\frac{dA(t)}{dt} =salt rate in - salt rate out

salt rate in = 0.25 x 1 = 0.25

salt rate out = \frac{A(t)\times 1}{500}

The differential equation is given by

\frac{dA(t)}{dt} =1 - \frac{A(t)\times 1}{500}

where, A(0) = 0

So, the equation becomes

\frac{dA(t)}{dt} + \frac{A(t)}{500} = 1

Here the integrating factor is e^{\frac{dt}{500}}=e^{\frac{t}{500}}

The solution of the above differential equation is given by

A(t)\times e^{\frac{t}{500}} = \int e^{\frac{t}{500}}dt

A(t)\times e^{\frac{t}{500}} = 500\times e^{\frac{t}{500}}+C

where, C is the integrating constant.

A(t)=500+Ce^{-\frac{t}{500}}

Put, A(0) = 0

C = - 500

A(t)=500\left ( 1-e^{-\frac{t}{500} \right )

As concentration is defined as

Concentration = Quantity / Volume

C(t)=\frac{A(t)}{500}

C(t)=1-e^{\frac{-t}{500}}

Now concentration at t = 10 min

Put, t = 10 min

C(10)=1-e^{\frac{-10}{500}}

C (10) = 0.0198 lbs per gallon

Thus, teh concentration after 10 min is 0.0198 lbs per gallon.

7 0
2 years ago
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