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3 years ago

Diamond is playing a game. In the game she has to spin a spinner

Mathematics

2 answers:

Volgvan3 years ago

6 0

Answer: 1/16

In decimal form, this is equivalent to 0.0625

=====================================================

Explanation:

Each of the four sections are of equal area, so that means the probability of landing on any given color is 1/4.

The probability of landing on green first is 1/4, then followed by red is another 1/4. We multiply these fractions. This is valid because each event of spinning the spinner is independent of one another. None of the spins affect any others.

We then get (1/4)*(1/4) = (1*1)/(4*4) = 1/16

harina [27]3 years ago

4 0

Answer:

1/16

Step-by-step explanation:

for the first spin the chances of it landing on green is 1/4 and the second time is 1/4 chance it wil land on red. 1/4x1/4=1/16

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Please ..........help me

Ad libitum [116K]

Answer:

First statement: 10 road workers take 5 days to complete a work, working 2 hours a day.

Let us calculate how many days 2 workers will need, if they were to work at the same pace (i.e. each working 2 hours a day). The workforce is now decreased to 2 divided by 10 = 1/5 (i.e. one-fifth).

Therefore proportionately, the time will increase to 5 days divided by 1/5, (i.e. 5 / (1/5) = 25 days.

We now know that 2 workers will need 25 days to finish the work, if they work for 2 hors a day.

Now the question is what will happen if the two people work 5 hours per day, instead of 2 hours per day?

The labor they put in has increased to 5 divided by 2 = 2.5 (i.e. 2 and half times).

Consequently, the time needed to finish the work will decrease to 25 divided by 2.5 (i.e. ( 25 / 2.5 ) = 10. days.

The answer : 10 Days.

6 0

3 years ago

Describe how you could represent the fraction 4/10 using a model or number line

zubka84 [21]

Answer:

Not going to give answer, but let you solve

Step-by-step explanation:

You first have to start by drawing a number line and mark two integers between the fraction lines. Then you have to divide the section between the two integers in an equal number of parts which is equal to the denominator.

Hope I helped

5 0

2 years ago

Suppose Upper F Superscript prime Baseline left-parenthesis x right-parenthesis equals 3 x Superscript 2 Baseline plus 7 and Upp

Sedaia [141]

It looks like you're given

F'(x) = 3x² + 7

and

F (0) = 5

and you're asked to find F(b) for the values of b in the list {0, 0.1, 0.2, 0.5, 2.0}.

The first is done for you, F (0) = 5.

For the remaining b, you can solve for F(x) exactly by using the fundamental theorem of calculus:

$F(x)=F(0)+\displaystyle\int_0^x F'(t)\,\mathrm dt$

$F(x)=5+\displaystyle\int_0^x(3t^2+7)\,\mathrm dt$

$F(x)=5+(t^3+7t)\bigg|_0^x$

$F(x)=5+x^3+7x$

Then F (0.1) = 5.701, F (0.2) = 6.408, F (0.5) = 8.625, and F (2.0) = 27.

On the other hand, if you're expected to approximate F at the given b, you can use the linear approximation to F(x) around x = 0, which is

F(x) ≈ L(x) = F (0) + F' (0) (x - 0) = 5 + 7x

Then F (0) = 5, F (0.1) ≈ 5.7, F (0.2) ≈ 6.4, F (0.5) ≈ 8.5, and F (2.0) ≈ 19. Notice how the error gets larger the further away b gets from 0.

A better numerical method would be Euler's method. Given F'(x), we iteratively use the linear approximation at successive points to get closer approximations to the actual values of F(x).

Let y(x) = F(x). Starting with x₀ = 0 and y₀ = F(x₀) = 5, we have

x₁ = x₀ + 0.1 = 0.1

y₁ = y₀ + F'(x₀) (x₁ - x₀) = 5 + 7 (0.1 - 0) → F (0.1) ≈ 5.7

x₂ = x₁ + 0.1 = 0.2

y₂ = y₁ + F'(x₁) (x₂ - x₁) = 5.7 + 7.03 (0.2 - 0.1) → F (0.2) ≈ 6.403

x₃ = x₂ + 0.3 = 0.5

y₃ = y₂ + F'(x₂) (x₃ - x₂) = 6.403 + 7.12 (0.5 - 0.2) → F (0.5) ≈ 8.539

x₄ = x₃ + 1.5 = 2.0

y₄ = y₃ + F'(x₃) (x₄ - x₃) = 8.539 + 7.75 (2.0 - 0.5) → F (2.0) ≈ 20.164

4 0

3 years ago

Help, Solve for y 7=35y

Lapatulllka [165]

Answer:

0.2 = y

Step-by-step explanation: You have to isolate y

7 = 35y

35 35

0.2 = y

RECHECK:

7 = 35y

7 = 35(0.2)

7 = 7

YES, this is a true statement.

Hope this helps you!!! :)

4 0

3 years ago

Determine the number of subsets of {12, 13, 14}

Alex787 [66]

Answer:

Step-by-step explanation:

{ }

{12} {13} {14}

{12, 13} {12, 14} {13,14}

{12, 13, 14}

Total: 8

7 0

2 years ago