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3 years ago

Greta has 12 pens and 20 pencils in her desk drawer. What is the ratio of pens to pencils in her desk?

Mathematics

2 answers:

emmainna [20.7K]3 years ago

8 0

Answer:

every 3 pends there is 5 pencils

Step-by-step explanation:

krek1111 [17]3 years ago

3 0

Hm every 3 pens there is 5 pencils

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There are 10 pens in a box. There are x red pens in the box. All the other pens are blue. Jack takes at random two pens from the

expeople1 [14]

The probability that one of each color is selected is $\frac{10x - x^2}{45}$

<h3>Probabilities</h3>

The probability of an event is the chances of the said event

The given parameters are:

Total = 10
Red = x
Blue = 10 - x

<h3>Calculating the required probability</h3>

The probability that one of each color is selected is calculated as follows:

$P = P(Blue) \times P(Red) + P(Red) \times P(Blue)$

So, we have:

$P = \frac{10 - x}{10} \times \frac{x}{9} + \frac{x}{10} \times \frac{10 - x}{9}$

This gives

$P = \frac{x(10 - x)}{90} +\frac{x(10 - x)}{90}$

Take LCM

$P = \frac{2x(10 - x)}{90}$

Simplify the above expression

$P = \frac{x(10 - x)}{45}$

Expand

$P = \frac{10x - x^2}{45}$

Hence, the probability that one of each color is selected is $P = \frac{10x - x^2}{45}$

Read more about probabilities at:

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2 years ago

Using the diagram below, determine which<br> statement is NOT true.

Ad libitum [116K]

Answer: C

Step-by-step explanation:

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2 years ago

I'LL GIVE BRAINLIEST ANSWER TO CORRECT ANSWER

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15*(x+20)+26*x = 3115

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3 years ago

Which expression represents the volume, in cubic units, of the shaded region of the composite figure? (14)(10)(8) – π(2.52)(8) (

julia-pushkina [17]

Answer:

A. 1/2(14)(10)(8) – π(2.5^2)(8)

Step-by-step explanation:

I took the test and this was the correct answer. Hope this helped!

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2 years ago

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Use cubic regression to find a function that fits the following points.

8090 [49]

Answer:

y = 2x³ + x² - 4x + 6

Step-by-step explanation:

General formula:

y = ax³ + bx² + cx + d

If you replace point (0, 6) in the general formula, you get:

6 = a(0)³ + b(0)² + c(0) + d

6 = d

If you replace points (-1, 9), (1, 5) and (2, 18) in the general formula, you get the following system of equations:

9 = a(-1)³ + b(-1)² + c(-1) + 6

9 = -a + b - c + 6 (eq. 1)

5 = a(1)³ + b(1)² + c(1) + 6

5 = a + b + c + 6 (eq. 2)

18 = a(2)³ + b(2)² + c(2) + d

18 = 8a + 4b + 2c + 6 (eq. 3)

Adding equation 1 to equation 2:

14 = 2b + 12

(14 - 12)/2 = b

b = 1

Multiplying equation 1 by 2:

18 = -2a + 2b - 2c + 12 (eq. 4)

Adding equation 4 to equation 3, and replacing with b value:

36 = 6a + 6b + 18

36 = 6a + 6 + 18

(36 - 6 - 18)/6 = a

a = 2

Replacing a and b values in equation 1:

9 = -2 + 1 - c + 6

c = -2 + 1 + 6 - 9

c = -4

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2 years ago

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