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Rasek [7]
2 years ago
15

5. In one year, there were 125 major new automobile types available. If you look at the miles per gallon (MPG) for these vehicle

s, the distributions are roughly normal. The means and standard deviations are given by: Mean Standard Deviation City MPG 22.37 4.77 Highway MPG 29.09 5.46 a. The Honda Civic had a rating of 45 highway MPG. What is the probability that your car has a worse highway gas mileage than the Civic? b. The Lincoln Continental had a rating of 17 city MPG. What percent of cars are likely to have a better city gas mileage than the Continental?
Mathematics
1 answer:
ziro4ka [17]2 years ago
5 0

Answer:

The answer is "99.82% and 86.99%".

Step-by-step explanation:

In point a:

=P(X < 45)\\\\= P(Z < \frac{45-29.09}{5.46}) \\\\=P(Z < 2.9139)\\\\=0.9982\\\\=99.82\%

In point b:

=P(X >17)\\\\= P(Z > \frac{17-22.37}{4.77}) \\\\=P(Z > -1.1258)\\\\=0.8699\\\\=86.99\% \\\\

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I need the answer fore both plsss
grandymaker [24]

Answer:  6i) 6a² - 2ab

               6ii) -2b³

               6iii) b³ + 7b² - 49b

<u>Step-by-step explanation:</u>

6i)   (a + b)(5a - 3b)             +    (a - 3b)(a - b)

=    5a² - 3ab + 5ab - 3b²   +    a² - ab - 3ab + 3b²

=    5a² + 2ab - 3b²             +   a² - 4ab + 3b²

= 6a² - 2ab

6ii)    (a - b)(a² + b² + ab)              -  (a + b)(a² + b² - ab)

=   a³ + ab² + a²b - ab² - a²b - b³ -  (a³ + ab² - a²b -ab² + a²b + b³)

=   a³ - b³                                      -  (a³ + b³)

=   a³ - b³                                      - a³ - b³

= -2b³

6iii) (b² - 49)(b + 7)             +     343

=     b³ + 7b² - 49b - 343    +    343

=     b³ + 7b² - 49b

You are allowed a maximum of 3 questions.

Please post #7 on a different question.

5 0
3 years ago
Please help me! Don't understand.
FromTheMoon [43]
The new area would be 270
7 0
3 years ago
I WILL MARK BRAINLIEST! Solve for X
NARA [144]

Answer:

Step-by-step explanation:

You are to assume in both problems that the two triangles are similar. That is a very dangerous assumption -- especially in later math classes. But in this case, there is no other way to do the problem. The two sets of triangles look like they are proportional.  So set up two ratios that are = to each other

On the left

long side small triange / long side large triangle = base small triangle / base large triangle

On the right

hypotenuse/longest leg = hypotenuse / longest leg.

Problem A

Set up the similar Proportion

5/40 = x/20                Cross Multiply

40x = 20*5

40x = 100                   Divide by 40

x = 100/40

x = 2.5

Problem B

Again set up the similar triangle proportion

15/10 = x/2                  Multiply by 2

15*2/10 = x              

3 = x

6 0
2 years ago
Read 2 more answers
Pt = x + 2 tr = y qt = 2x ts = y + 3 find the values of x and y in parallelogram pqrs​
german

Answer:

An apple, potato, and onion all taste the same if you eat them with your nose plugged

Step-by-step explanation:

7 0
3 years ago
O two decimal places, find the value of k that will make the function f(x) continuous everywhere. F of x= 3(x) + k for x less th
enot [183]

Answer:

  k ≈ 1.88

Step-by-step explanation:

In order for the function to be continuous, the pieces of the function must have the same value at x=3. That is ...

  f(3) = 3(3) +k = k(3^2) -6

  15 = 8k . . . . . add 6-k, simplify

  k = 15/8 = 1.875 ≈ 1.88

To two decimal places, the value of k that makes f(x) continuous at x=3 is 1.88.

5 0
3 years ago
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