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
LuckyWell [14K]
3 years ago
15

The grades on a math midterm at Springer are roughly symmetric with \mu = 78μ=78mu, equals, 78 and \sigma = 5.0σ=5.0sigma, equal

s, 5, point, 0. Omar scored 646464 on the exam. Find the z-score for Omar's exam grade. Round to two decimal places.
Mathematics
1 answer:
mr Goodwill [35]3 years ago
8 0

Answer:

-2.8

Step-by-step explanation:

Given that:

Mean, μ = 78

Standard deviation, σ = 5

Omar's score, x = 64

The Zscore of Omar's score :

Zscore = (x - μ) ÷ σ

Zscore = (64 - 78) / 5

Zscore = - 14 / 5

Zscore = - 2.8

Hence, Omar's exam score is - 2.8

You might be interested in
There are 4 red marbles, 3 blue marbles, and 13 green marbles in a bag.
IRINA_888 [86]

Answer:

3/20+4/19= 137/380

3 0
3 years ago
Rewrite the given equation in logarithmic form. Then, select all of the equations with an equivalent solution.
san4es73 [151]

Answer:

ans: ln (5/8) , ln5 - ln8

Step-by-step explanation:

8e^x -5 = 0

e^x = 5/8

x = ln (5/8)

x = ln5 - ln8

8 0
3 years ago
What is the coefficient of x2y3 in the expansion of (2x + y)5?
Zigmanuir [339]

Option C:

The coefficient of x^{2} y^{3} is 40.

Solution:

Given expression:

(2 x+y)^{5}

Using binomial theorem:

(a+b)^{n}=\sum_{i=0}^{n}\left(\begin{array}{l}n \\i\end{array}\right) a^{(n-i)} b^{i}

Here a=2 x, b=y

Substitute in the binomial formula, we get

(2x+y)^5=\sum_{i=0}^{5}\left(\begin{array}{l}5 \\i\end{array}\right)(2 x)^{(5-i)} y^{i}

Now to expand the summation, substitute i = 0, 1, 2, 3, 4 and 5.

$=\frac{5 !}{0 !(5-0) !}(2 x)^{5} y^{0}+\frac{5 !}{1 !(5-1) !}(2 x)^{4} y^{1}+\frac{5 !}{2 !(5-2) !}(2 x)^{3} y^{2}+\frac{5 !}{3 !(5-3) !}(2 x)^{2} y^{3}

                                                            $+\frac{5 !}{4 !(5-4) !}(2 x)^{1} y^{4}+\frac{5 !}{5 !(5-5) !}(2 x)^{0} y^{5}

Let us solve the term one by one.

$\frac{5 !}{0 !(5-0) !}(2 x)^{5} y^{0}=32 x^{5}

$\frac{5 !}{1 !(5-1) !}(2 x)^{4} y^{1} = 80 x^{4} y

$\frac{5 !}{2 !(5-2) !}(2 x)^{3} y^{2}= 80 x^{3} y^{2}

$\frac{5 !}{3 !(5-3) !}(2 x)^{2} y^{3}= 40 x^{2} y^{3}

$\frac{5 !}{4 !(5-4) !}(2 x)^{1} y^{4}= 10 x y^{4}

$\frac{5 !}{5 !(5-5) !}(2 x)^{0} y^{5}=y^{5}

Substitute these into the above expansion.

(2x+y)^5=32 x^{5}+80 x^{4} y+80 x^{3} y^{2}+40 x^{2} y^{3}+10 x y^{4}+y^{5}

The coefficient of x^{2} y^{3} is 40.

Option C is the correct answer.

5 0
3 years ago
What formula would I use to find X?
liraira [26]
Check the picture below.

make sure your calculator is in Degree mode.

4 0
3 years ago
What is the area of the shaded region? (Use 3.14 for Pi) *
love history [14]

Answer:

The area of the shaded region is the difference between the areas of the rectangle and the square.

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Write an equation in point-slope form for the line through the given point with the given slope.
    15·1 answer
  • (1, 1/2, 1/3, 1/4, ...)
    5·1 answer
  • 60 ft/s = ____km/h I don't know how to convert feet to kilometers.
    15·1 answer
  • I NEED HELP PLEASE!!!!
    11·1 answer
  • Evaluate the expression 2y + 3.5. Evaluate the expression for y=1.8, y=4, y=6.9. (there should be three answers)
    8·1 answer
  • The daily low temperatures in a city have been below 0° Fahrenheit (F) for the past two days. On Monday, the daily low temperatu
    13·1 answer
  • Which equation represents the height of the purple part of the wall?
    11·1 answer
  • B = 23a + 1<br> b = -13a + 7
    13·1 answer
  • The box plot shows the daily attendance at a Fitness Class. What is the median?
    9·1 answer
  • Given g(x)=1/2x+7 find g^-1(x)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!