All categories

3 years ago

* Show steps

Mathematics

1 answer:

Mila [183]3 years ago

3 0

Step-by-step explanation:

18 seconds to hour

18÷3600= 0.005 hour

accelerstion= velocity÷ time

60 mph÷ 0.005 = 12,000m/h^2

You might be interested in

What's the standard form of 314,207

maria [59]

Standard form: 314,207

expanded form: 300,000+10,000+200+7

word form: three hundred fourteen thousand, two hundred seven

6 0

4 years ago

A telephone exchange operator assumes that 8% of the phone calls are wrong numbers. If the operator is right, what is the probab

Vera_Pavlovna [14]

Answer:

The probability that the sample proportion differ from the population proportion by greater than 3% is 0.0241.

Step-by-step explanation:

Let X = number of phone calls that are wrong numbers.

The proportion of phone calls that are wrong numbers is, p = 0.08.

A sample of n = 421 phone calls is selected to determine the proportion of wrong numbers in this sample.

The random variable X follows a Binomial distribution with parameters n and p.

The probability mass function of a Binomial distribution is:

$P(X=x)={421\choose x}0.08^{x}(1-0.08)^{421-x}$

Now, for the sample proportion to differ from the population proportion by 3% the value of the sample proportion should be:

$\hat p-p=0.03\\\hat p-0.08=0.03\\\hat p=0.11$ $\hat p-p=-0.03\\\hat p-0.08=-0.03\\\hat p=0.05$

So when the sample proportion is less than 5% or greater than 11% the difference between the sample proportion and population proportion will be greater than 3%.

If sample proportion is 5% then the value of X is,

$X=np=421\times 0.05=21.05\approx21$

Compute the value of P (X ≤ 21) as follows:

$P(X\leq 21)=\sum\limits^{21}_{x=0}{{421\choose x}0.08^{x}(1-0.08)^{421-x}}=0.0106$

If the sample proportion is 11% then the value of X is,

$X=np=421\times 0.11=46.31\approx47$

Compute the value of P (X ≥ 47) as follows:

$P(X\geq 47)=\sum\limits^{471}_{x=47}{{421\choose x}0.08^{x}(1-0.08)^{421-x}}=0.0135$

Then the probability that the sample proportion differ from the population proportion by greater than 3% is:

$P(\hat p-p>0.03)=P(X\leq 21)+P(X\geq 47)=0.0106+0.0135=0.0241$

Thus, the probability that the sample proportion differ from the population proportion by greater than 3% is 0.0241.

7 0

3 years ago

Select all the correct answers.

patriot [66]

Answer:

A and B

Step-by-step explanation:

6 0

3 years ago

Set up the integral that would give the volume v generated by rotating the region bounded by the given curves about the y-axis.

lorasvet [3.4K]

Consider, pls, this solution.
Note, that V1 marked with orange lines (see the graph), V2 - with green colour.

6 0

3 years ago

I need help on doing this problem

Mamont248 [21]

Hey mate !! 

Step-by-step explanation:

[ Refer to the attachment ]

8 0

3 years ago