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Related Questions
In an all boys school, the heights of the student body are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. What is the probability that a randomly selected student will be shorter than 63 inches tall, to the nearest thousandth?
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The probability that a randomly selected student from the all-boys school will be shorter than 63 inches tall is approximately 0.9%.
To find the probability that a randomly selected student will be shorter than 63 inches tall, we need to use the standard normal distribution table or a statistical calculator.
Calculate the z-score for the value of 63 inches using the formula:
z = (X - μ) / σ
where X is the value (63 inches), μ is the mean (70 inches), and σ is the standard deviation (3 inches).
z = (63 - 70) / 3
z = -7 / 3
z = -2.3333
Now, we look up the area to the left of the z-score -2.3333 in the standard normal distribution table.
Using a standard normal distribution table, the cumulative probability for z = -2.33 (rounded to two decimal places) is approximately 0.009.
So, the probability that a randomly selected student will be shorter than 63 inches tall is approximately 0.009 or 0.9% (rounded to the nearest thousandth).
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AkkakamakjakakaijJaja
Answers
Answer:
B
Step-by-step explanation:
I first combined like terms. next I subtracted the x on the left from both sides. Lastly, I subtracted 3 from both sides. hope this helped!
ASAP someone please help. Given the following angle measurements for a triangle, find the remaining angle.
a. 53, 58
b. 28, 47
c. 65, 25
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Answer:
c
Step-by-step explanation:
Find the surface area of the prism.
Answers
Answer:
792 feet
Step-by-step explanation:
based on my calculations this is the answers.
792... I think thats the answer beacause that's what I got sorry if incorrect. Have a great day.
PLEASE HELP!
What is the equation of the directrix
for the following parabola:
(x - 1)^2 = 12(y + 2)
A. Y = -5
B. X = -5
C. y = -3
D. y = -12
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Answer:
y=-5
Step-by-step explanation:
Use cosine law to find the value of x. Show working. use ^ for power and sqrt for square root
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Answer:
x ≈ 11.89
Step-by-step explanation:
Using the cosine rule
x² = 4² + 9² - ( 2 × 4 × 9 × cos128° )
= 16 + 81 - 72cos128°
= 97 - (- 44.33 )
= 141.33 ( take the square root of both sides )
x = [tex]\sqrt{141.33}[/tex] ≈ 11.89 ( to 2 dec. places )
pls help fast i will give brainliest to the first answer i swear
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Answer:
Green block= 5x5x5= 125 cm
Flat white block= 1x4x5= 20 cm
Standing white block= 9x3x7= 189 cm
Blue block= 3x4x2.5= 30 cm
The fridge= 174x57=9918 604998 divided by 9918 = 61 d= 61 cm
Step-by-step explanation:
Solve the given polynomial by factoring. Check all answers that are correct.
f(y) = 3y^3 + y^2 + 9y + 3
A) y = 1/3
B) y = i√3
C) y = 3
D) y = -3
E) y = -1/3
F) y = ±i√3
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To find the quotient of 726.02 and 1,000, move the decimal point in 762.02___Places to the ____
Choices for blank 1.
A. 2
B. 3
C. 4
D. 5
Choices for blank 2.
A. Left
B. Right
NO LINKS!!
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from blank one five
from blank two is right
Ms Shepard cuts 1/2 of piece of construction paper. She uses 1/6 of piece of paper to make flower. This means that she used 1/12 of sheet of paper to make the flower. True or false
Answers
Answer:
true
Step-by-step explanation:
subject?
Arnetta’s monthly gross pay is $4,200 federal withholding is 16.05%
Answers
Answer: $3204.06
Step-by-step explanation:
Here's the complete question:
Arnetta's monthly gross pay is $4,200. Federal withholding is 16.05% of her pay. Her other deductions total $321.30. Find her net pay.
First, we calculate the Federal witholding which will be:
= 16.05% × $4200
= 0.1605 × $4200
= $674.10
The total deduction will now be:
= $674.10 + $321.30
= $995.40
The net pay will now be:
= Gross pay - Total deductions
= $4,200 - $995.40
= $3204.06
Therefore, Arnetta’s net pay is $3204.06
true or false dialations of an angle are congruent to the original angle
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Answer: True
Step-by-step explanation: Dilations do not change the angle measure. All line segments are changed by the same factor, therefore the angle remains the same.
You have an allowance to spend on lunch this
week. You will spend the same amount each
day, and you get to keep whatever is left at
the end of the week. After two days, you
have $12.10 remaining. After five days, you
have $2.50 remaining. what is the initial value, rate of change, and table of values
Answers
Answer:
look at the screenshot
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZ
4
Select the correct answer.
Which of the equations below represents a line parallel to the yaxis?
A. X= -y
B. X= 4y
C.x=y
D.X= 4
HELP
Answers
Answer:
x=4
Step-by-step explanation:
The y axis is a line where the value of x does not change ( x=0)
It is a vertical line
The only line where the value of x does not change is x=4
It is a vertical line at x=4
PLS HELP ME WITH THIS QUESTION!!
Answers
Answer:
a
Step-by-step explanation:
What is the measure of
Answers
Answer: Measure of what?
Answer:
measurement of what-?
What is the solution?
-4(3) - 3 = ?
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I hope it helps you :)
solve for cos(57)=x/15
Answers
Step-by-step explanation:
cos(57)=x/15
0.544×15=xx=8.16stay safe healthy and happy.Answer:
If you mean 57 degrees then the answer is 8.1695...
If you mean 57 radians then the answer is 13.498...
Step-by-step explanation:
Isolate the x by multiplying 15 on both sides
15 x cos(57) = x
The area of the base of a rectangular prism is 40 squared inches. If the length of the prism is 4 inches, and the height of the prism is 5 inches, what is the total surface area of the rectangular prism
Answers
Answer:
220
Step-by-step explanation:
Which quadratic equation has roots of 5 and 7
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Answer:
D
Step-by-step explanation:
Given the root of a quadratic equation x = a then the factor is (x - a)
Here the roots are x = 5 and x = 7 , then the corresponding factors are
(x - 5) , (x - 7)
The equation is then the product of the factors, that is
y = (x - 5)(x - 7) ← expand using FOIL
= x² - 7x - 5x + 35 ← collect like terms
y = x² - 12x + 35 → D
The quadratic equation has roots of 5 and 7 so, the quadratic equation would be equal to [tex]y = x^{2} - 12x + 35[/tex].
How to find the roots of a quadratic equation?Suppose that the given quadratic equation is
ax^2 + bx + c = 0
Then its roots are given as:
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
It is Given the root of a quadratic equation x = a then the factor is (x - a)
Here the roots are x = 5 and x = 7 , then the other factors are
(x - 5) , (x - 7)
The equation is then the product of the factors,
[tex]y = (x - 5)(x - 7)\\y = x^{2} - 7x - 5x + 35 \\y = x^{2} - 12x + 35[/tex]
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Which two products can add to find 9 times 4?
Answers
Answer:
2x18=36
im not sure if that's what you meant but i can answer again if you want
Step-by-step explanation:
Answer:
sin ( 330 )
csc ( 60 )
cos ( 390 )
Step-by-step explanation:
please help this is 8th grade math btw
Which of the following does NOT represent a function?
Answers
Answer:
B
Step-by-step explanation:
You cannot have two or more domains.
'
3 appears twice and is located in the x axis, which is basically the domain.
Hope this helps
Answer: B
a and c are both functions and b is not.
6th grade math plsssssss whoever does this I will give any vbuck card, or Microsoft. PLSSS HELP!
Answers
11/2=5 with a remainder of 1
you can get a total of 5 toppings
Answer:
5 toppings
Step-by-step explanation:
$20 - $9 = $11 dollars left for toppings
$11 ÷ 2 = 5.5
So, you can get 5 toppings with 50 cents left.
Have a great day!
Ethan is practicing kicking field goals before a football game. He starts by kicking from 22 yards and increases his distance by 3.5 yards
every minute. He uses the equation shown to find the distance of his kicks (y), in yards, after different numbers of minutes (x).
y = 3.5x + 22
After how many minutes will Ethan be kicking from 50 yards?
a 4
6 7
8
d 9
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Kaylee obtains a loan with simple interest to buy a car that costs $8,500. If Kaylee pays $1,020 in interest during the four-year term of the loan, what was the rate of simple interest?
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Answer:
The rate is 3 percentage
Correct I’ll give brainlist no links or I’ll report
Answers
You have a can that is in the shape of a cylinder. It has a volume of about 1,728 cubic centimeters. The height of the can is 22 centimeters. What is the approximate length of the radius? Use 3.14 for pi.
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Answer:
v=pi.r^2.h
1728=3.14*22r^2
1728/69.08=r^2
r^2=25.0144
r=5
Help
Please edge 21 I really need help I don’t want to go to summer school
Answers
Answer:
C. No solutions exist Because the situation describes two lines that have the same slope and different y-intercepts
Step-by-step explanation:
it is important to keep the x-and y-coordinates in the same order in both the numerator and the denominator otherwise you will get the wrong slope so there is no solution.
Which expresion is equivalent to -5 -(-7)?
HURRY 20 POINTS
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Answer:
2 (the answer should have a positive sign.)The equivalent to -5-(-7) is -5+7.Step-by-step explanation:
To solve this problem, use the order of operations.
PEMDAS
Parentheses
Exponents
Multiply
Divide
Add
Subtract
[tex]\sf{-5-(-7)=-5+7}[/tex]
[tex]\sf{-5+7}[/tex]
Add or subtract.
Solve.
[tex]-5+7=2[/tex]
[tex]\large\boxed{2}[/tex]
So, the correct answer is 2.
Answer:3+(px6)
Step-by-step explanation:
complete the square f(x)=x^2-12x-4
Answers
Answer:
Solve for x over the real numbers:
x^2 - 12 x - 4 = 0
Add 4 to both sides:
x^2 - 12 x = 4
Add 36 to both sides:
x^2 - 12 x + 36 = 40
Write the left hand side as a square:
(x - 6)^2 = 40
Take the square root of both sides:
x - 6 = 2 sqrt(10) or x - 6 = -2 sqrt(10)
Add 6 to both sides:
x = 6 + 2 sqrt(10) or x - 6 = -2 sqrt(10)
Add 6 to both sides:
Answer: |
| x = 6 + 2 sqrt(10) or x = 6 - 2 sqrt(10)