1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elenna [48]
3 years ago
9

the sitting height (from the bottom of the seat to the top of the person's head) of female drivers is normally distributed with

a mean of 34 inches and a standard deviation of 1.4 inches as shown below. If a car company designs a vehicle so that the roof is 34 inches from the bottom of the seat, what percentage of women would not fit in the driver's seat? A. 40% B. 50% C. 50.1% D. 60%

Mathematics
1 answer:
Sindrei [870]3 years ago
6 0

Answer:

B; 50%

Step-by-step explanation:

Here, we want to calculate the percentage of women that will not fit in the driver’s seat

We proceed as follows;

We start with calculating the z-score of this;

That would be ;

(x-mean)/SD

in this case;

x = 34 inches

mean = 34 inches

SD = 1.4 inches

Thus, we have that;

(34-34)/1.4 = 0/1.4 = 0

when z-score is 0, we are at the center of the distribution

A z-score of 0 corresponds to exactly 50%

You might be interested in
What is the difference of the fractions? Use the number line to help find the answer.
Doss [256]

Answer:

Option 'b' i.e. -11/20 is the correct option.

Thus,

\frac{1}{5}-\frac{3}{4}=-\frac{11}{20}

Step-by-step explanation:

Given the expression

\frac{1}{5}-\frac{3}{4}

Determining the difference of the fractions

\frac{1}{5}-\frac{3}{4}

The Least Common Multiplier of 5, 4 is 20. Thus, adjust the fractions based on the L.C.M.

\frac{1}{5}-\frac{3}{4}=\frac{4}{20}-\frac{15}{20}

Apply the fraction rule:  \frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}

          =\frac{4-15}{20}

Add the number: 4-15 = -11

           =\frac{-11}{20}

Apply the fraction rule:  \frac{-a}{b}=-\frac{a}{b}

            =-\frac{11}{20}

Please check the attached figure, where the pointing-down arrow is representing the correct answer which is -11/20.

Therefore, option 'b' i.e. -11/20 is the correct option.

Thus,

\frac{1}{5}-\frac{3}{4}=-\frac{11}{20}

3 0
3 years ago
Which triangle is a 30°-60°-90° triangle?
Mazyrski [523]

Answer:

A.

Step-by-step explanation:

In a 30-60-90 the hypotenuse is twice the shortest side

the second side is the shortest side times root 3

5 0
3 years ago
Read 2 more answers
Proportional relationships, please answer all of the parts! Thank you!
Natalka [10]

Answer:

a. No (see below)

b. (see below)

c. Johnny

d. Johnny = $12.50 / hour      Doug = $9.16... / hour

e. Doug: extend the table to show how much he gets paid for 1 hour of work (the unit rate)

Johnny: already on the graph

Step-by-step explanation:

a. No. This is because a proportional relationship would have a certain ratio between payment and the amount of time spent working, which would not change. However, if Doug's neighbour pays him $55 for 6 hours, it's likely that this is not a proportional relationship, or we would be able to divide $55 by the 6 hours Doug spent working.

b. Even though above I said that it's probably not a proportional relationship, if it were, we would have to divide everything equally. I'm guessing the table should look like this:

                            Doug

       Time (hr)                      Earnings ($)

          4                                  $36.66...

          5                                  $45.8333...

          6                                  $55

          7                                  $64.4666....

          8                                  $73.333...

To work out how much Doug would get for working 4 hours:

4/6 x $55 = 2/3 x $55 = $36.66... (so definitely not a proportional relationship)

To work out how much Doug would get for working 5 hours:

5/6 x $55 = $45.8333.... (more evidence that this is not a proportional relationship)

To work out how much Doug would get for working 7 hours (we already got 6 hours):

7/6 x $55 = $64.4666...

To work out how much Doug would get for working 8 hours:

8/6 x $55 = $73.33... (we could double the 4 hour payment, but this is probably more accurate)

c. Johnny is getting paid more. If we look at how much Doug gets for 6 hours, it's $55. If we look out at how much Johnny gets for 6 hours, it's $75. (If we do the same with the other amounts of time, it's the same.

4 hours: D = $36.67 vs J = $50

5 hours: D = $45.83 VS J = $60

etc...

d. Johnny gets $75 per 6 hours --> 75/6 = $12.50 per hour

Doug gets $55 per 6 hours --> 55/6 = $9.1666... per hour

e. Carry on the table for Doug all the way to 1, so you can see the how much Doug gets paid for 1 hour of work (i.e. the minimum).

The unit rate is already on the graph for Johnny.

HOPE THIS HELPED :)

P.S. Mate cld you please give me Brainliest? That table took so much dam work

7 0
4 years ago
Read 2 more answers
F. what would the standard deviation have to be if the mean is $100,000 and the probability that a random variable x is less tha
Georgia [21]

Answer:

44444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444

Step-by-step explanation:

444444444444444444444444444444444444444444444

4 0
3 years ago
Identify all sets to which the number -3/4 belongs
leonid [27]

Answer:

a. rational numbers

Step-by-step explanation:

we observe that -3/4 is a proper fraction (i.e it is a rational number)

hence

1) It cannot be a whole number

2) it cannot be an integer

therefore any answer choices that mention whole number or integer is not correct. By default, only a is correct.

6 0
3 years ago
Other questions:
  • The square of a number is 15 more than 2 times the number
    5·1 answer
  • Determine whether a given set of vectors spans a vector space
    7·1 answer
  • Three airlines serve a small town in Ohio. Airline A has 52% of all scheduled flights, airline B has 27% and airline C has the r
    5·1 answer
  • How can you solve problems involving percents
    6·1 answer
  • Take a guess: A student takes a multiple-choice test that has 9 questions. Each question has four choices. The student guesses r
    5·1 answer
  • A school has 280 students. If 25% of the students are in the school band how many students are in the band?
    15·1 answer
  • I need help! Jeff sold half of his comic book collection. Two years later he decides to start collecting again. After buying 12
    5·1 answer
  • Christian has a collection of 18 shark teeth he has 6 tiger shark what precentage is tiger​
    9·1 answer
  • 2.
    7·1 answer
  • In a right triangle, the side opposite angle φ has a length of 29.0 meters, the side adjacent to angle φ has a length of 49.5 me
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!