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GaryK [48]
3 years ago
10

What is the volume of a rectangular prism with the dimensions: base 5/ 8 cm, height 3/8 cm, and length 7/8 cm?

Mathematics
2 answers:
suter [353]3 years ago
7 0
The answer is D
Yahoooo
vichka [17]3 years ago
5 0

105/512 cm³

Step-by-step explanation:

Step 1:

To find the volume of rectangular prism = L*B*H

Where L=Length of Prism

           B= Base of Prism

           H= Height of Prism

Step 2:

     Here L= 7/8 cm

              B= 5/8 cm

               H= 3/8 cm

By using BODMAS rule simplification is done.

BODMAS- Brackets Orders Division Multiplication Addition Subtraction

Volume = (5/8)* (3/8) * (7/8)

             = (5*3*7)/(8*8*8)

              = (105)/(512)  cm³

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Use the diagram shown. If BC = 14, AB = 11, and the perimeter of triangle ABC is 39, then what is the value of BD?
RUDIKE [14]

Answer:

BD=5.5

Step-by-step explanation:

11 divided by 2 gives you the answer

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PLEASE PLEASE HELPJeans are on sale for 40% off. The jeans Justin wants to buy are marked with an original price of $80. What is
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Step-by-step explanation:

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2 years ago
At a certain coffee shop, all the customers buy a cup of coffee; some also buy a doughnut. The shop owner believes that the numb
Zinaida [17]

Answer:

a) 0.2514

b) No

c) 0.2611

Step-by-step explanation:

For coffee cups sold daily

Mean(μ) = 320 cups

Standard deviation (σ) = 20 cups

For doughnut sold daily

Mean(μ) = 150 doughnut

Standard deviation (σ) = 12 doughnut

Let X be the random variable representing the number of cups.

Let y be the random variable representing the number of doughnuts.

a) The shop is opened everyday except Sunday's. This means that the shop is opened 6 times in a week.

The probability that he will sell more 2000 cups of coffee in a week = Pr(x>2000)

Using normal distribution

Z = (x - μ)/σ

Z = (2000 - 6(320))/6(20)

Z = (2000 - 1920) / 120

Z = 80/120

Z = 0.67

From the normal distribution table, 0.67 = 0.2486

Φ(z) = 0.2486

Recall that if Z is positive,

Pr(x>a) = 0.5 - Φ(z)

Pr(x>2000) = 0.5 - 0.2486

= 0.2514

b) On each cup of coffee, he makes a profit of 50 cents and makes a profit of 40 cents on each doughnut. We have 0.5x + 0.4y

Z = (x - μ) / σ

Z = (300 - (0.5*320 + 0.4*150)) / √0.5^2*20^2 + 0.4^2*12^2

Z = (300 - (160+60)) / √100+23.04

Z = (300 -220)/√123.04

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= 7.02

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c) The probability that on any given day he will sell a doughnut to more than half of his coffee customers = Pr(y - 0.5x > 0)

From normal distribution,

Z = (x - μ) / σ

Z = (0 - (150 - 0.5*320)) / √12^2 + 0.5^2*20^2

Z = (0 - (150 - 160)) / √144 + 100

Z = (0 -(-10))/√244

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= 0.64

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Φ(z) = 0.2389

Recall that if Z is positive,

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= 0.2611

6 0
3 years ago
Justine earned $26,000 during the first year of her job at city hall. After each year she received a 3% raise. Find her total ea
hichkok12 [17]
To find how much each percentage is you need to make each one a fraction so 3/100 x 26000/1 your answer is 780 for 3 percent so her first raise makes it 26780 and 26000 plus 26780 is 52780 then keep adding 780 to 26000. So your answer would be A i think

4 0
2 years ago
Read 2 more answers
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velikii [3]
1/7-9/7n+6/7
1-9/7n
that is the extended form and is simplified

8 0
3 years ago
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