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3 years ago

15

A number cube is rolled 25 times. A number less than four comes up 20 times. What is the experimental probability that a number

less than four is rolled

1 answer:

laiz [17]3 years ago

4 0

It would be 20 because the highest number is 25

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Determine whether quantities vary directly or inversely and find the constant of variation. 16 factory workers made 40 pieces in

Andrei [34K]

Answer:

Part A) $8\ workers$

Part B) $10\ workers$

Part C) $40\ workers$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

Let

x -----> the number of workers

y ----> the number of pieces made

In this problem

The relation between the variables x and y represent a direct variation (proportional variation)

so

For x=16, y=40

Find the value of the constant of proportionality k

$k=\frac{y}{x}$

substitute the values

$k=\frac{y}{x}$

$k=\frac{40}{16}\\k=2.5\ \frac{pieces}{worker}$

The linear equation is equal to

$y=2.5x$

Part A) How many workers are needed to make 20 pieces

For y=20 pieces

substitute in the linear equation

$20=2.5x$

$x=8\ workers$

Part B) How many workers are needed to make 25 pieces

For y=25 pieces

substitute in the linear equation

$25=2.5x$

$x=10\ workers$

Part C) How many workers are needed to make 100 pieces

For y=100 pieces

substitute in the linear equation

$100=2.5x$

$x=40\ workers$

3 0

3 years ago

I need help<br><br> Like asap

Tom [10]

Answer:

Step-by-step explanation:

cross multiply

-6 * 12 = 2 + z

-72 = z + 2

z = -2-72 = -74

7 0

4 years ago

Read 2 more answers

What ratio represents the tangent of

stellarik [79]

Answer:

Step-by-step explanation:

15/8

give me brainliest pls

8 0

3 years ago

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Analyze the diagram below and complete the instructions that follow.Find m

vladimir2022 [97]

Answer: 70.5°

Solution:

Call B, the measure of the angle CBA

cos(B) = adjacent-leg / hypotenuse = 3 / 9 = 1 / 3

=> B = arc cos (1/3) ≈ 70.5°

I will calculate other measures for you, trying to cover the most common ratios: sine, cosine, tangent

1) (segment CA)^2 + (segment BC)^2 = (hypotenuse)^2

=> (segment CA )^2 = (hypotenuse)^2 - (segment BC)^2 = 9^2 - 3^2 = 81 - 9 = 72

=> segment CA = √72 = 6√2

2) sin(B) = opposite-leg / hypotenuse = 6√2 / 9 =2√2 / 3

3) sin(A) = cos(B) = 1/3

4) cos(A) = sin(B) = 2√2 / 3

5) tan(B) = opposite-leg / adjacent-leg = (2√2 / 3 ) / 3 = 2√2 / 9

6) tang(A) = 3 / (2√2 /3) = 9 /( 2√2) = 9√2 / 4

3 0

4 years ago

Classify these similar triangles as an example of AA similarity, SSS similarity, or SAS similarity.

umka21 [38]

Answer:

I AM EXPECTING THAT SSS IS CORRECT ANSWER

7 0

3 years ago