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
Dahasolnce [82]
4 years ago
12

Suppose the test scores of students in a class are normally distributed with a mean of 85 and a standard deviation of 4. What is

the z-score for a student that scored 79 on a test
A. -4
B. -1.5
C. 1.5
D. 4
Mathematics
1 answer:
UkoKoshka [18]4 years ago
7 0

Answer:

B

Step-by-step explanation:

Converting it to z, we can use the formula of z-score:

z-score = \frac{x-\mu}{\sigma}

Where

x is the value we are checking for (here, x = 79)

\mu  is the mean, which is 85

\sigma is the standard deviation, which is 4 now

<em>Let's plug the information into the formula and solve for the answer:</em>

<em>\frac{x-\mu}{\sigma}\\\frac{79-85}{4}\\-\frac{6}{4}\\-1.5</em>

<em />

<em>B is the correct answer.</em>

You might be interested in
5(1+4r)- 8(4-r) simplify​
kolezko [41]

Answer: =28r−27

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
16+2b-7b subtracting like terms
White raven [17]
It equals 16+5b
2b-7b= 5b
3 0
4 years ago
Read 2 more answers
Floral designers often create arrangements where the flower height to container ratio is 5 to 3. A certain museum wishes to crea
aleksandr82 [10.1K]
Set up a proportion of 5 over 3 and then x over 17
Cross multiply to get 17x=85
Then divide by 17
To get x to equal 28.33.
x=total height. 
8 0
3 years ago
What is the answer to -7x + x?
sammy [17]
-7x+x->x=1->-7x+1x->-6x


7 0
4 years ago
Read 2 more answers
Calculus Problem
Roman55 [17]

The two parabolas intersect for

8-x^2 = x^2 \implies 2x^2 = 8 \implies x^2 = 4 \implies x=\pm2

and so the base of each solid is the set

B = \left\{(x,y) \,:\, -2\le x\le2 \text{ and } x^2 \le y \le 8-x^2\right\}

The side length of each cross section that coincides with B is equal to the vertical distance between the two parabolas, |x^2-(8-x^2)| = 2|x^2-4|. But since -2 ≤ x ≤ 2, this reduces to 2(x^2-4).

a. Square cross sections will contribute a volume of

\left(2(x^2-4)\right)^2 \, \Delta x = 4(x^2-4)^2 \, \Delta x

where ∆x is the thickness of the section. Then the volume would be

\displaystyle \int_{-2}^2 4(x^2-4)^2 \, dx = 8 \int_0^2 (x^2-4)^2 \, dx \\\\ = 8 \int_0^2 (x^4-8x^2+16) \, dx \\\\ = 8 \left(\frac{2^5}5 - \frac{8\times2^3}3 + 16\times2\right) = \boxed{\frac{2048}{15}}

where we take advantage of symmetry in the first line.

b. For a semicircle, the side length we found earlier corresponds to diameter. Each semicircular cross section will contribute a volume of

\dfrac\pi8 \left(2(x^2-4)\right)^2 \, \Delta x = \dfrac\pi2 (x^2-4)^2 \, \Delta x

We end up with the same integral as before except for the leading constant:

\displaystyle \int_{-2}^2 \frac\pi2 (x^2-4)^2 \, dx = \pi \int_0^2 (x^2-4)^2 \, dx

Using the result of part (a), the volume is

\displaystyle \frac\pi8 \times 8 \int_0^2 (x^2-4)^2 \, dx = \boxed{\frac{256\pi}{15}}}

c. An equilateral triangle with side length s has area √3/4 s², hence the volume of a given section is

\dfrac{\sqrt3}4 \left(2(x^2-4)\right)^2 \, \Delta x = \sqrt3 (x^2-4)^2 \, \Delta x

and using the result of part (a) again, the volume is

\displaystyle \int_{-2}^2 \sqrt 3(x^2-4)^2 \, dx = \frac{\sqrt3}4 \times 8 \int_0^2 (x^2-4)^2 \, dx = \boxed{\frac{512}{5\sqrt3}}

7 0
2 years ago
Other questions:
  • Solve for w. <br> 1/7 = -3/2w -4/5 Simplify your answer as much as possible.
    8·1 answer
  • Mid-Chapter Check
    11·1 answer
  • Is 4/100 greater than 0.2
    10·1 answer
  • Which decimal is equivalent to 5/20
    8·1 answer
  • What is the volume of a hemisphere with a diameter of 8ft, rounded to the nearest tenth of a cubic foot
    10·1 answer
  • Travis is making a pattern with triangle tiles. Each side of a triangle is 3 inches long. What is the perimeter when the pattern
    9·1 answer
  • HELP ILL GIVE BRAINLIEST
    15·1 answer
  • Plz help me solve this small equation plz show working<br><br> Thank you so much
    11·1 answer
  • Determine the distance between the two points using the Pythagorean theorem.
    6·1 answer
  • Let x and y be directly related such that y = 9 when x = 3. Find y when x = 7.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!