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maksim [4K]
1 year ago
9

A candy store is building a display with two rectangular prism.The base of each prism is a square with an edge length of 5 inche

s.One prism is 12 inches tall and the other is twice as tall.The two prisms are stacked so that the pieces do not overlap . what is the total volume of the display?
Mathematics
1 answer:
nordsb [41]1 year ago
8 0
The volume of the display is 900 cubic inches.  

The formula for the volume of a prism is L x W x H. 

In the small shape, we have:  5 x 5 x 12 = 300
In the large shape, we have:  5 x 5 x 24 = 600

Add them together and we have 900 cubic inches.
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98000*0.15 is how you would find out how much he has to pay for tax, which is 14700. since you didn't post plan b, this is all i can do.
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Purnima took a loan of RS.100,000 from bank at the rate of 10 % compound interest . Immediately she lent the whole amount to her
denis-greek [22]

Answer:

RS 44,000

Step-by-step explanation:

The compound interest formula is FV = PV(1 + r)ⁿ. Where FV = Future value, PV = present value, r = rate and n = no of years.

Since Purnima loans RS 100,000, PV = 100,000. Which is the amount she lends to her friend. She lends to her friend at a rate of 10% compound half yearly which equals r = 10% ÷ 1/2 year = 20% per year = 0.2. Since she lends her friend for two years, n = 2.

So, FV = PV(1 + r)ⁿ = 100,000(1 + 0.2)² = 100,000(1.2)² = 144,000

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5 0
1 year ago
Fill in the gaps in the arithmetic sequence -3, _ ,_ , _, _, _ 12
lord [1]

Answer:

  -0.5, 2, 4.5, 7, 9.5

Step-by-step explanation:

The given terms are 6 apart, so the common difference is 1/6 of their difference:

  d = (12 -(-3))/6 = 15/6 = 5/2 = 2.5

Add 2.5 to each term to get the next one. Then the sequence is ...

  -3, <u>-0.5</u>, <u>2.0</u>, <u>4.5</u>, <u>7.0</u>, <u>9.5</u>, 12

8 0
2 years ago
A juice drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of drink on an average. Any overfill
ozzi

Answer:

d. The average is equal to 12 ounces.

Step-by-step explanation:

In this problem, the drink filling machine must be perfectly calibrated at 12 ounces since it needs to be shut down in cases of overfilling (mean > 12 ounces) and underfilling (mean < 12 ounces). Therefore, the correct approach would be to test if the mean is 12 ounces and the correct set of hypothesis would be:

H_0:\mu=12\\H_a:\mu\neq 12

The correct alternative is d. The average is equal to 12 ounces.

5 0
1 year ago
A linear regression equation is calculated for a sample of n = 20 pairs of X and Y values.
Nata [24]

Answer: B) 18

Step-by-step explanation:

The degree of freedom for Standard error or df(Residual) is the sample size minus the number of estimated parameters ,.

df= n - p  , where n= sample size , p = number of parameters.

According to the given problem , we have

Sample size : n=20

Number of parameters (x and y ): p= 2

Then, the df value for the standard error of estimate will be :

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Thus , the df value for the standard error of estimate is 18 .

Hence, the correct answer is B) 18 .

3 0
2 years ago
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