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3 years ago

Find the distance traveled in 27.9 minutes

Mathematics

1 answer:

Ymorist [56]3 years ago

5 0

Answer:

Step-by-step explanation:

d = 0.5 * t There are no conversions. You just substitute the value for t.

d = 0.5 * 27.9

d = 13.95 which is A

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4x-12=24<br> how would this be solved

jekas [21]

Answer:

$x = 9$

Step-by-step explanation:

$~~~~~~4x-12 = 24\\\\\implies 4(x-3) = 24\\\\\implies x -3 = \dfrac{24}4\\\\\implies x-3 = 6\\\\\implies x = 6+3\\\\\implies x = 9$

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2 years ago

The equation of the linear regression line represents the relationship between the number of years since 2000, x, and the averag

Readme [11.4K]

The regression equation is in the form y = mx+b where m = 938 is the slope

The slope of 938 means that each year the tuition is increasing by roughly $938.

The answer is choice C.

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3 years ago

The amount of grain in a silo is changing at a rate of –35.2 kilograms per hour.

Ainat [17]

Change=change per hour times number of hours
change per hour=-35.2
hours=1.25
change=-35.2 times 1.25
change=-44

answer is
hmm
the change is 44, but it is in a negative direction

either 44 or -44, not sure

4 0

4 years ago

A piece of blue yarn is 6 2/10 yards long a piece of pink yarn is 7 times long as the blue yarn how much longer is the pink yarn

Svet_ta [14]

Answer:

37.2 yards longer than the blue yarn

Step-by-step explanation:

4 0

3 years ago

kicyunya [14]

Answer:

8.69% probability that at least 285 rooms will be occupied.

Step-by-step explanation:

For each booked hotel room, there are only two possible outcomes. Either there is a cancelation, or there is not. So we use concepts of the binomial probability distribution to solve this question.

However, we are working with a big sample. So i am going to aproximate this binomial distribution to the normal.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

A popular resort hotel has 300 rooms and is usually fully booked. This means that $n = 300$

About 7% of the time a reservation is canceled before the 6:00 p.m. deadline with no pen-alty. What is the probability that at least 285 rooms will be occupied?

Here a success is a reservation not being canceled. There is a 7% probability that a reservation is canceled, and a 100 - 7 = 93% probability that a reservation is not canceled, that is, a room is occupied. So we use $p = 0.93$