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Dima020 [189]
3 years ago
10

A rectangular prism has a length of 412 millimeters, a width of 412 millimeters, and a height of 6 millimeters. Sally has a stor

age container for the prism that has a volume of 143 cubic millimeters. What is the difference between the volume of the prism and the volume of the storage container? Enter your answer in the box as a simplified mixed number or a decimal.
Mathematics
1 answer:
Dominik [7]3 years ago
0 0
Multiply the length*width*height to get the volume of the prism then, take out the difference between the volumes
Volume of the prism= 1018464
Then just subtract
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Trevor took one of his friends out to lunch. The lunches cost $248.40 and he paid 12.5% sales tax. If Trevor left a 15% tip on t
bixtya [17]
He paid ...

-- The cost of the lunches      (100%  =  1.00 of it)    

-- 15% of the cost as a tip    (15%  =  0.15 of it)

-- 12% of the cost as sales tax  (12%  =  0.12 of it)

Total that he paid = (1.00 + 0.15 + 0.12)  =  1.27 of $248.40

                                                           =      $315.47   .

Trevor is one generous guy !
4 0
3 years ago
How do you simplify 14/24
Bond [772]

Answer:

7/12

Step-by-step explanation:

Simplification is something we can do if both the numerator and denominator are divisible by the same number.

In 14/24, both numbers are divisible by 2.

So, we divide both the numerator and denominator by 2. We get 7/12.

Therefore 14/24 = 7/12.

7 0
3 years ago
Read 2 more answers
How many toothpicks are needed to build the tree on day 100?​
Mariana [72]

Answer:

100 x 4 = 400 - 91 = 309

Step-by-step explanation:

4 0
3 years ago
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Work out the height of a parallelogram with a base of 10m and an area of 60m2
noname [10]
Area formula of a parallelogram is
        A = base x height

Given are the
Area = 60 m² and base = 10 m

 Substitute the given:

60 = 10h  (divide by 10 to find value of h)
\frac{60}{10} = \frac{10h}{10}  (10 and 10 cancels out)

h = 6
The height of a parallelogram with a base of 10m and an area of 60m² is 6m

3 0
3 years ago
A truck loaded with 8000 electronic circuit boards has just pulled into a firm’s receiving dock. The supplier claims that no mor
Juliette [100K]

Answer:

The 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

Step-by-step explanation:

Let <em>X</em> = number of boards that fall outside the most rigid level of industry performance specifications.

In a random sample of 300 boards the number of defective boards was 12.

Compute the sample proportion of defective boards as follows:

\hat p =\frac{12}{300}=0.04

The (1 - <em>α</em>)% confidence interval for population proportion <em>p</em> is:

CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

The critical value of <em>z</em> for 95% confidence level is,

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

*Use a <em>z</em>-table.

Compute the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification as follows:

CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.04\pm1.96\sqrt{\frac{0.04(1-0.04)}{300}}\\=0.04\pm0.022\\=(0.018, 0.062)\\\approx(1.8\%, 6.2\%)

Thus, the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

3 0
3 years ago
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