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yan [13]
3 years ago
14

PLEASE HELP A rental company charges $75 per hour for a jet ski plus $5 fee for a life jacket. What would the cost be for 2 life

jackets and 2 jet skies for 8 hours?​
Mathematics
1 answer:
Viktor [21]3 years ago
8 0

Answer:

Step-by-step explanation:75 + 75= 150 150+10= 160

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Suppose that you take a sample of 250 adults. If the population proportion of adults who watch news videos is 0.58​, what is the
aliina [53]

Answer:

0.36% probability that fewer than half in your sample will watch news​ videos

Step-by-step explanation:

To solve this question, i am going to use the binomial approximation 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:

n = 250, p = 0.58

So

\mu = E(X) = 250*0.58 = 145

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{250*0.58*0.42} = 7.80

If the population proportion of adults who watch news videos is 0.58​, what is the probability that fewer than half in your sample will watch news​ videos

Half: 0.5*250 = 125

Less than half is 124 or less

So this is the pvalue of Z when X = 124

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

Z = \frac{124 - 145}{7.8}

Z = -2.69

Z = -2.69 has a pvalue of 0.0036

0.36% probability that fewer than half in your sample will watch news​ videos

8 0
3 years ago
Read 2 more answers
Please help me c:
netineya [11]

Oscar played games vs number of points he scored is, C) positive, linear association.

Step-by-step explanation:

  • no association is when points Oscar graph will remain between 8to10.
  • number of games he scored his points remain the same which is mean.
  • non linear is only when there is no straight line passing.
  • Linear is either exponential or polynomial.
  • Positive as the game increase he scoring abilities increases.
  • Negative as the game increases his scoring decreases.
  • Negative x axis will have more number of points.
  • Negative y axis will high to low of the graph.
  • Linear lines are best way to predict a data doesn't work will all data.

8 0
3 years ago
-38/-8 plz help me plz​
Bad White [126]

Answer:

(-38) / (-8)

equals 4.75

a negative divided by a negative is always a positive

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
100 points the right answer please the set designer for a play painted some background scenery on a large piece of plywood. He u
podryga [215]

Answer:

14 ft

Step-by-step explanation:

Focus on the triangle, and temporarily neglect the 2 ft measurement at the top of the triangle.  Then the 2 legs of the triangle have lengths h - 2 ft and 5 ft, and the hypotenuse is 13.

Applying the Pythagorean Theorem, we get:

13^2 =  (h - 2)^2 + 5^2, or

169 = h^2 - 4h + 4 + 25, or

144 = h^2 - 4h + 4, or

140 = h^2 - 4h, or, finally,

h^2 - 4h - 140 = 0.  We must find the value of h.

I graphed this function on a calculator and found that -10 is a zero.  Thus, the function factors into (h + 10)(h - 14) = 0, or h = 14.

The total height of the piece of plywood is 14 ft.

Check this:  does a right triangle with legs (14 - 2) and 5 have a hypotenuse of 13?  Yes.

7 0
3 years ago
Last year, 800 students attended the career fair at west high school. this year,the number of students who attended the career f
Delvig [45]

Answer:

840

Step-by-step explanation:

Last year, 800 students attended the career fair at West High School.  

And, this year the number of students who attended the career fair increased by 5%.

We are asked how many students attended the career fair at West High School this year.

Therefore, the number of students attended the career fair at West High School will be 800[1+\frac{5}{100} ]  =800 \times 1.05 = 840. (Answer)

3 0
3 years ago
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