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3 years ago

Compare the rates to find which is greater 40 meters in 32 minutes or 30 meters in 25 minutes

Mathematics

1 answer:

Alexeev081 [22]3 years ago

7 0

Answer:

$\frac{40}{32} = 1.25 \: meters \: per \: minute$

and

$\frac{30}{25} = 1.2 \: meters \: per \: second$

40 meters in 32 minutes is greater

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Simplify 4 to the 2nd power ⋅ 4 to the 8th power.

Nonamiya [84]

Use exponent rule: x^y * x^z = x^y+z

4^2 * 4^8

4^2+8

4^10

1,048,576

Best of Luck!

5 0

3 years ago

The net weight in pounds of a packaged chemical herbicide is uniform for 49.62 < x < 50.04 pounds.

k0ka [10]

Answer:

a) $E(X)=\frac{50.64+49.62}{2}=50.13 pounds$

b) $Var(X)= \frac{(b-a)^2}{12} =\frac{(50.04-49.62)^2}{12}=0.0147$

c) $P(X$

But we see that the distribution is defined ust between 49.62 and 50.04

And in order to find this we can use the CDF (Cumulative distribution function) given by:

$F(X) =\frac{x-a}{b-a}$

And if we replace we got:

$P(X$

And makes sense since all the values are between 49.62 and 50.04

Step-by-step explanation:

For this case we define the random variable X ="net weigth in pounds of a packaged chemical herbicide" and the distribution for X is given by:

$X \sim U(a= 49.62, b=50.04)$

Part a

For the uniform distribution the expected value is given by $E(X) =\frac{a+b}{2}$ where X is the random variable, and a,b represent the limits for the distribution. If we apply this for our case we got:

$E(X)=\frac{50.64+49.62}{2}=50.13 pounds$

Part b

The variance for an uniform distribution is given by:

$Var(X)= \frac{(b-a)^2}{12}$

And if we replace we got:

$Var(X)= \frac{(b-a)^2}{12} =\frac{(50.04-49.62)^2}{12}=0.0147$

Part c

For this case we want to find this probability:

$P(X$

But we see that the distribution is defined ust between 49.62 and 50.04

And in order to find this we can use the CDF (Cumulative distribution function) given by:

$F(X) =\frac{x-a}{b-a}$

And if we replace we got:

$P(X$

And makes sense since all the values are between 49.62 and 50.04

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4 years ago

Betty has several of the standard six-sided dice that are common in many board games. If Betty rolls one of these dice, what is

s344n2d4d5 [400]

Answer:

the probabillty is 6

Step-by-step explanation:

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1 year ago

Which expression is equivalent to square root of 200

KonstantinChe [14]

Answer:200 = 100*2, so √200 = √100 * √2. √100 = 10, so I can replace it with 10 to get 10 * √2 as my final answer for the square root of 200.

Step-by-step explanation:

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4 years ago

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aleksandr82 [10.1K]

The correct answer is 160

And u have to do the question correctly...

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3 years ago