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Eduardwww [97]
1 year ago
5

During a test period, an experimental group of 10 vehicles using an 85 percent ethanol-gasoline mixture showed mean CO2 emission

s of 240 pounds per 100 miles, with a standard deviation of 20 pounds. A control group of 14 vehicles using regular gasoline showed mean CO2 emissions of 252 pounds per 100 miles with a standard deviation of 15 pounds. A quick comparison of the sample variances suggests that the population variances are
Mathematics
1 answer:
PIT_PIT [208]1 year ago
7 0

Answer:

A quick comparison of the sample variances suggests that the population variances <u><em>are same or almost equal.</em></u>

Step-by-step explanation:

The populations from which two samples are drawn are normally distributed.

The  variable used to predict another variable is called an independent variable.

F- distribution is used for the test of  two sample hypotheses of variances.

If two populations have equal variances then the test Statistic is nearly equal to 1.

<em>t= s²₁/s²₂i</em>

<em />

As the variances are almost or nearly equal the test statistic would be almost equal to 1.

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At a financial institution, a fraud detection system identifies suspicious transactions and sends them to a specialist for revie
labwork [276]

Answer:

a. E(X) = 54.4

b. E(X) = 2.5

c. P(Y=2) = .0116

Step-by-step explanation:

a.

    E(X) = np = .40 probability * 136 trials = 54.4 blocked transmissions

    To get the expected value, we simply multiply probability times number of trials. You can look at it in simple terms by thinking if there's a 50% chance of flipping heads and you flip a coin twice, in an ideal world you will have .5*2 = 1 head.

b.

    i. Let X represent the number of suspicious transmissions reviewed until finding the first blocked one. We will use a geometric distribution to model the "first" transmission. Whenever we're looking for the "first" time something happens, we use geometric.

   ii. E(X) = 1/p , according to the geometric model.

              = 1/.4 = 2.5.

       We expect that the specialist will review 2.5 suspicious transactions <em>on average </em>before finding the first transmission that will be blocked.

c.

    i. Let Y represent the exact number of blocked transmissions out of 10. We will use a binomial distribution to model the "fixed" number of transmissions. Whenever we're looking for a "fixed" number of times something happens, we use binomial.

    ii. P(Y=k) = (n choose k)(p^k)(q^n-k)

        P(Y=2) = (¹⁰₂)(.4^2)(.6^10-2)

                    = 45 (.4^2)(.6^10-2) = .0016

        As for calculator notation, the n choose k can be accessed on a TI-84 via MATH -> PRB -> nCr. It looks like 10 nCr 2 on the display.

        Hence the probability that two transactions out of ten will be blocked is .0016 by the binomial model.

5 0
2 years ago
George took a nonstop flight from Dallas to
In-s [12.5K]

It is given in the question that,

George took a nonstop flight from Dallas to Los Angeles, a total flight distance of 1,233 miles. The plane flew at a speed of 460 miles per hour for the first 75 minutes of the flight and at a speed of 439 miles per hour for the remainder of the flight.

Let for x hours, the flight travelled with a speed of 439 miles per hour .

So we have,

460* \frac{75}{60} + 439*x = 1233

575 + 439x =1233&#10;\\&#10;439x = 1233 - 575&#10;\\&#10;439x = 658&#10;\\&#10;x = \frac{658}{439} hours

And to convert it in minutes, we have to multiply by 60. And on doing so, we will get

x = \frac{658}{439}*60 =approx \ 90  \ minutes

5 0
2 years ago
Statements and reasonings 2(4x+2)=20
Katarina [22]

distribute-   8x+4=20

subtract-    8x=20

divide-      20/8=x

answer-   x=2.5


6 0
2 years ago
The conversion of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 sq
lara [203]

Answer:

Part 1) The constant of variation is k=1/9

part 2) The equation is y=\frac{1}{9}x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

Let

x -----> the number of square feet

y ----->  the number of square yards

Three square yards are equivalent to 27 square feet

so

we have the point (27,3)

Part 1) What is the constant of variation?

The constant of variation or proportionality is equal to

k=y/x

substitute the values

k=3/27

Simplify

k=1/9

Part 2) What is the equation representing the direct variation?

we know that

y=kx

substitute the value of k

y=\frac{1}{9}x

3 0
1 year ago
Read 2 more answers
The linear plot shows how water pressure changes as a diver's depth increases. What is the best
vazorg [7]

Answer:

Step-by-step explanation:

It would be A, the first one.

4 0
1 year ago
Read 2 more answers
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