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3 years ago

3.4 mi/h converted into ft/sec Please someone help me out on this question!

Mathematics

1 answer:

Vlad [161]3 years ago

5 0

To convert mi/h to ft/sec, multiply it to 1.466.

So 3.4 mi/h x 1.466 = 4.986 ft/sec

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g: Consider the following game. A coin is flipped. If it lands tails we stop playing and winnothing. If it lands heads we spin a

galben [10]

Answer:

E[W] = $25 (assuming the currency is in dollars)

Var(W) = 1041.67

Step-by-step explanation:

Probability of winning first starts with the coin toss.

For a win, the coin needs to land on heads.

Probability of that = 1/2 = 0.5

Then probability of winning any amount = 1/100 = 0.01

Total probability of winning any amount = 0.5 × 0.01 = 0.005

But expected value is given by

E(X) = Σ xᵢpᵢ

where xᵢ is each amount that could be won

pᵢ is the probability of each amount to be won and it is the same for all the possible winnings = 0.005

So,

E(W) = Σ 0.005 xᵢ

Summing from 0 to 100 (0 indicating getting a tail from the coin toss). This could be done with dome faster with an integral sign

E(W) = ∫ 0.005 x dx

Integrating from 0 to 100

E(W) = [0.005 x²/2]¹⁰⁰₀

E(W) = [0.0025 x²]¹⁰⁰₀ = 0.0025(100² - 0²) = 0.0025 × 10000 = $25

Variance is given by

Variance = Var(X) = Σxᵢ²pᵢ − μ²

μ = expected value

We calculate the expression, Σxᵢ²pᵢ which is another sum from 0 to 100

Σxᵢ²pᵢ = Σ 0.005xᵢ²

Σ 0.005 xᵢ² = ∫ 0.005 x² dx

Integrating from 0 to 100

∫ 0.005 x² dx = [0.005 x³/3]¹⁰⁰₀ = [0.1667x³]¹⁰⁰₀ = 0.1667(100³ - 0³) = 1666.67

Var(W) = 1666.67 - 25² = 1666.67 - 625 = 1041.67.

5 0

3 years ago

Theo used to drive 60 miles to work each day. His new home is now 20 miles away

posledela

Answer:

66.6% decrease in distance

Rounded 67%

He is traveling 1/3 of what he used to travel

Step-by-step explanation:

8 0

2 years ago

Your friend is 1.2 times taller than you. Your friend is 64.5 inches tall. How tall are you?

krok68 [10]

You have to divide your friends weigh by 1.2 to get the result. : if you were 1.2 times taller than they, you would multiply, so the oppisite is dividing!

so it will be 64.5/1.2=53.75.

6 0

3 years ago

Read 2 more answers

If N collected 4/20lb of cloth and Z collected 7/8lb of cloth.

love history [14]

First you need to give both fractions a common denominator lets say 40. So N would be 8/40 and Z would be 35/40, so Z collected more than N. All together they collected 43/40 which simplifies to be 1 and 2/40 which would again simplify to 1 and 1/20.

8 0

3 years ago

Last summer milo sold water bottles at the park to raise money for his baseball team he made the table below does the table show

evablogger [386]

Answer:

Step-by-step explanation:

For a proportional relationship :

y = kx

Where , k = constant of proportionality

Taking the first set of data:

x = 50 ; y = 10

10 = 50k

k = 10/ 50 = 1/5

Hence, the proportional equation or relation is :

y = 1/5x

Check if this is true for other data points on the data :

Taking the second data point :

x = 85 ; check if y will be 20

From :

y = 1/5x

y = 1/5*85

y = 85/5

y = 17

Since ;

y value from the equation isn't the same as that in the table, then the table does not show a proportional relationship.

4 0

2 years ago