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3 years ago

A runner finished his marathon in 180 minutes. A marathon is around 26 miles.

Mathematics

2 answers:

mash [69]3 years ago

7 0

Answer:

I'd say 6.9 paces per mile.

Step-by-step explanation:

pashok25 [27]3 years ago

6 0

6.9 is his pace i believe

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Match each function formula with the corresponding transformation of the parent function y = 5-^x Please help ASAP!!

Ierofanga [76]

Answer:

We have the parent function given by, $y=5^{-x}$

1. The function is translated 5 units to the left.

So, we get, $y=5^{-x}$ becomes $y=5^{-(x+5)}$

2. The function is translated 5 units to the right.

So, we get, $y=5^{-x}$ becomes $y=5^{-(x-5)}$

3. The function is translated 5 units upwards.

So, we get, $y=5^{-x}$ becomes $y=5^{-x}+5$

4. The function is translated 5 units downwards.

So, we get, $y=5^{-x}$ becomes $y=5^{-x}-5$

5. The function is reflected across x-axis.

So, we get, $y=5^{-x}$ becomes $y=-5^{-x}$

6. The function is reflected across y-axis.

So, we get, $y=5^{-x}$ becomes $y=5^{-x}$ .

8 0

3 years ago

Read 2 more answers

B. what is the probability that the dealership will be dissolved? (round your intermediate calculations to 4 decimal places, "z"

Kobotan [32]

4.2 i think or 2.4 /z

3 0

3 years ago

Erica is putting up lines of colored flags for a party. The flags are all the same size and are spaced equally along the line. 1

balu736 [363]

Answer:

I need you to be specific

Step-by-step explanation:

3 0

4 years ago

According to Harper's Index, 55% of all federal inmates are serving time for drug dealing. A random sample of 16 federal inmates

Salsk061 [2.6K]

Answer:

a) $P(X\geq 11) = 0.198$

b) $P(X\leq 2) = 0.000565$

c) Mean = 8.8

Step-by-step explanation:

1) Previous concepts

Binomial Distribution is a "discrete probability distribution which is used to calculate the probabilities for the independent trials and for each trial there is only two outcomes success or failure and probability for each success remains constant throughout each trial".

The Binomial distribution is a type of Bernoulli experiment with following properties:

a)There are two possible outcomes; success or failure.

b) Outcomes are independent on preceding result of a trial.

c) The probability of success remains constant throughout the experiment.

d)The number of successes are fixed.

The probability mass function for the Binomial distribution is given by:

$P(X=a)=(nCa)(p)^x (1-p)^{n-x}$

Where $p$ is the probability of success, n the number of trials and x the number of successes that we want on the n trials.

$X$ represent the number federal inmates that are serving time for drug dealing

$p=0.55$ represent the proportion of federal inmates that are serving time for drug dealing

$n=16$ random sample selected

2) Part a

The random variable X follows this distribution $X \sim Binom(n,p)$

On this case we want the following probability, and since says greater or equal than 11 we can express like this:

$P(X \geq 11)=P(X=11)+P(x=12)+P(x=13)+P(x=14)+P(x=15)+P(x=16)$

$P(X=11)=(16C11)(0.55)^{11} (1-0.55)^{5} =0.112$

$P(X=12)=(16C12)(0.55)^{12} (1-0.55)^{4} =0.0572$

$P(X=13)=(16C13)(0.55)^{13} (1-0.55)^{3} =0.0215$

$P(X=14)=(16C14)(0.55)^{14} (1-0.55)^{2} =0.00563$

$P(X=15)=(16C15)(0.55)^{15} (1-0.55)^{1} =0.000918$

$P(X=16)=(16C16)(0.55)^{16} (1-0.55)^{0} =0.00007011$

$P(X \geq 11)=0.112+0.0572+0.0215+0.00563+0.000918+0.00007011=0.198$

3) Part b

$P(X \leq 2)=P(X=0)+P(x=1)+P(x=2)$

$P(X=0)=(16C0)(0.55)^{0} (1-0.55)^{16} =0.00000283$

$P(X=1)=(16C1)(0.55)^{1} (1-0.55)^{15} =0.0000552$

$P(X=2)=(16C2)(0.55)^{2} (1-0.55)^{14} =0.000507$

$P(X \leq 2)=0.00000283+0.0000552+0.000507=0.000565$

4) Part c

The expected value for the binomial distribution is given by the following formula:

$E(X)=np=16*0.55=8.8$

So then the average number of federal inmates that are serving time for drug dealing on a sample of 16 is approximately 9.

5 0

3 years ago

How many of the students correctly applied only the associative property to rewrite the expression

Lapatulllka [165]

Answer:

Only one student, Melinda used it right.

Step-by-step explanation:

Associative property lets us place our brackets the way we want and the result would be unchanged.

Here: (13 + 15 + 20) + (20 + 47 + 18).

So, we can place the brackets in any form, like (13 + 15) + (20 + 20) + (47 + 18).

There are many ways to do it. Melinda's was is yet another example.

Note that Associative property does not hold for subtraction.

5 0

3 years ago