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telo118 [61]
3 years ago
13

A box contains 2 plain pencils and 2 pens. A second box contains 3 color pencils and 5 crayons. One item from each box is chosen

at
random. What is the probability that a pen from the first box and a crayon from the second hoy are selected?
Mathematics
1 answer:
Lapatulllka [165]3 years ago
8 0

Answer:

50% pen first box and 62.5% crayon from second box

Step-by-step explanation:

The first box contains 4 items, 2 of each. This means there are \frac{2}{4} pens. This gives you a \frac{2}{4} chance of picking out a pen. This can be written as 50%.

The second box contains 8 items, 3 color pencils and 5 crayons. This means \frac{5}{8} of the contents are crayons, meaning you have a \frac{5}{8} or 62.5% chance of picking a crayon.

*For working out the percentages, you should convert the fraction to a decimal and then multiply that by 100.

**This content involves fractions, decimals and percentages, as well as basic probability, which you may want to revise. I'm always happy to help!

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Elsie say that to solve 17-9, she can take one from 17 and give it to the 9 to make 10. So 17-9 is equal to 16-10.
Oxana [17]
I think it’s elsie not john i could be wrong tho
5 0
3 years ago
The area of the base of the prism is 360 square centimetres and the height of the prism 19 centimeters what is the volume in cub
stiks02 [169]

Answer:

6,840cm³

Step-by-step explanation:

V = 360 * 19

V = 6,840cm³

7 0
3 years ago
What are the ratios for sin A and cos A? The triangle is not drawn to scale.
dalvyx [7]

Answer:

SinA = \frac{84}{85}  and  CosA=\frac{13}{85}

Step-by-step explanation:

The ratios of sine and cos are defined as follows:

Sin A = \frac{Opposite}{Hypotenuse} , and

CosA = \frac{Adjacent}{Hypotenuse}

The hypotenuse is always the side opposite of the 90 degree angle (for the given triangle, the hypotenuse is 85)

Since we are looking at the angle A, the opposite side with respect to A would be the side length of 84. That leaves the side 13 as the adjacent side.

Thus, we can now write:

Sin A = \frac{Opposite}{Hypotenuse}\\SinA = \frac{84}{85}

CosA = \frac{Adjacent}{Hypotenuse}\\CosA=\frac{13}{85}

The correct answer is  the first answer choice.

7 0
3 years ago
alan deposited 2500 in an investment account that pays an interest rate of 7.8% compounded monthly if he makes no other deposirs
xeze [42]
Use Compound Interest Monthly Formula:
A = P(1 + r/n)^nt
A = Future Amount
P = Initial Amount
r = Interest rate
n = monthly
= 12 months
t = 15

In this case:
P = 2500
r = 7.8%
n = 12 months
t = 15 years

7.8% = 7.8/100
= 0.078

2500(1 + 0.078/12)^12(15)
= 8024.54 —> Final Answer.
6 0
3 years ago
1. A farmer wants to build a fence around a rectangular area of his farm with one side of the region against his barn. He has 76
Arte-miy333 [17]

Answer:

19 ft by 38 feets

Step-by-step explanation:

Given that :

Available fencing = 76 feets

Rectangular fencing with 3 sides

Let the 3 sides be :

x, x, y

x + x + y = 2x + y = 76

y = 76 - 2x

Area = x * y = xy

Area = (76 - 2x) * x

Area = 76x - 2x²

Take derivative of Area with respect to x ; dA

dA /dx = 76 - 4x = 0

76 - 4x = 0

-4x = - 76

x = 76 / 4

x = 19

2x + y = 76

2(19) + y = 76

38 + y = 76

y = 76 - 38

y = 38

Hence, dimension : 19feet by 38 feets

5 0
3 years ago
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