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SIZIF [17.4K]
3 years ago
9

Milton got a paperweight like the one shown below. He needs to fill it with sand to give it weight.

Mathematics
2 answers:
Rashid [163]3 years ago
4 0
2x2x2 = 8

4 x 2 x 2 = 16

16+8 = 24

Answer is A
solong [7]3 years ago
4 0

Solution:

Given that, Milton got a paperweight like the one shown in the figure.

The Paper Weight is in the shape of a cuboid and a cube.

Length and breadth of cuboid is a and height of the cuboid is 2a, whereas side of cube is a.

The volume of sand required to fill in the Paper Weight , is equal to the volume of the Paper weight,

Volume of Paper Weight = Volume of cube + Volume of cuboid

We know that, Volume of cube =(side)^{3}

and , Volume of Cuboid = length \times breadth \times height

Volume of Paper Weight = a^{3}+ (a\times a \times2a)= a^{3} +2a^{3} = 3a^{3}

Given that , a = 2 inches , then Volume of Paper Weight = 3 \times (2)^{3}= 3\times 8 = 24

24 \: in^{3} is the volume of the paperweight.

Option A is the correct solution.

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A recent national survey found that high school students watched an average (mean) of 7.8 movies per month with a population sta
notka56 [123]

Answer:

Step-by-step explanation:

Given that :

Mean = 7.8

Standard deviation = 0.5

sample size = 30

Sample mean = 7.3 5.4772

The null and the alternative hypothesis is as follows;

\mathbf{ H_o: \mu  \geq  7.8}

\mathbf{ H_1: \mu  <  7.8}

The test statistics can be computed as :

z = \dfrac{X- \mu}{\dfrac{\sigma}{\sqrt{n}}}

z = \dfrac{7.3- 7.8}{\dfrac{0.5}{\sqrt{30}}}

z = \dfrac{-0.5}{\dfrac{0.5}{5.4772}}

z = - 5.4772

The p-value at  0.05 significance level is:

p-value = 1- P( Z < -5.4772)

p value = 0.00001

Decision Rule:

The decision rule is to reject the null hypothesis if  p value is less than 0.05

Conclusion:

At  the 0.05 significance level,  there is sufficient information to reject the null hypothesis. Therefore ,we  conclude that college students watch fewer movies a month than high school students.

8 0
4 years ago
Superman was said to be "faster than a speeding bullet." A Winchester rifle bullet travels at a speed of 1,924 miles per hour (m
IceJOKER [234]
Your answer is #3 and #4
 because both of them are bigger then 1924
hope my answer helped , feel free to ask more. 
7 0
3 years ago
Read 2 more answers
Sally and Karl work at different jobs. Sally earns $7 per hour and Karl earns $5 per hour. They each earn the same amount per we
Lisa [10]

Answer:

Karl works 7 hours a week

Step-by-step explanation:

Step 1: Determine total amount that Sally earns

Total amount Sally earns=rate per hour×number of hours worked(h)

where;

Rate per hour=$7 per hour

Number of hours worked=h

Replacing;

Total amount Sally earns=(7×h)=7 h

Step 2: Determine total amount Karl earns

Total amount Karl earns=rate per hour×number of hours worked

where;

rate per hour=$5

number of hours worked=2 more than Sally=h+2

replacing;

Total amount Karl earns=5(h+2)

Step 3: Equate Sally's total earnings to Karl's total earnings and solve for h

7 h=5(h+2)

7 h=5 h+10

7 h-5 h=10

2 h=10

h=10/2

h=5

Karl works (h+2) hours=(5+2)= 7 hours

Karl works 7 hours a week

7 0
3 years ago
HELP PLEASE <br> HOW DO I DO THIS?????<br> WHAT IS IT????
GarryVolchara [31]

Answer:

1

Step-by-step explanation:

4 0
3 years ago
Kent walked to the bus stop, then sat and waited until the bus arrived. He rode the bus for 25 minutes, then walked the last 3 b
Vlad [161]

Answer:

The first graph best represent the given scenario.

Step-by-step explanation:

Given that Kent walked to the bus stop, then sat and waited until the bus arrived. He rode the bus for 25 minutes, then walked the last 3 blocks to work. we have to find which graph best represent the scenario.

In the first graph, it is given The line increases for 10 minutes means the distance as well as time increases i.e Kent walked for 10 minutes then, stays horizontal for 15 minutes means no distance covered i.e stop or wait for 15 minutes. After that graph increases rapidly for another 25 minutes, that means rode the bus for 25 minutes then increases slowly for 5 minutes indicate walked to work.

The above graph best represent the scenario.

All three option is analysed by graphing which doesn't show the above given scenario.

8 0
3 years ago
Read 2 more answers
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