The population of NBA players is Normally distributed
with a mean of 6'7" and a standard deviation of 3. 9
inches. (Wikipedia) Greg is considered unusually tall for
his high school at 6' 3".
1. About what percent of NBA players are taller than Greg?
2. About what percent are shorter?
3. What minimum height would Greg have to be (IN INCHES) in order to be in the top 2. 5% of
NBA player heights?
Using the normal distribution, it is found that:
1. 85% of NBA players are taller than Greg.
2. 15% are shorter.
3. A height of 6'11'' would be needed.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
In inches, considering that a feet has 12 inches, the mean is of [tex]\mu = 6 \times 12 + 7 = 79[/tex].The standard deviation is of [tex]\sigma = 3.9[/tex].Greg is 6'3'', that is, X = 6 x 12 + 3 = 75.Item 1:
The proportion is one subtracted by the p-value of Z, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{75 - 79}{3.9}[/tex]
[tex]Z = -1.03[/tex]
[tex]Z = -1.03[/tex] has a p-value of 0.15
1 - 0.15 = 0.85.
85% of NBA players are taller than Greg.
Item 2:
100 - 85 = 15% are shorter.
Item 3:
This is X when Z has a p-value of 1 - 0.025 = 0.975, so X when Z = 1.96.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.96 = \frac{X - 75}{3.9}[/tex]
[tex]X - 75 = 1.96(3.9)[/tex]
[tex]X = 83[/tex]
83 = 6 x 12 + 11.
A height of 6'11'' would be needed.
More can be learned about the normal distribution at https://brainly.com/question/24663213
What is the value of y?
Answer:
12
Step-by-step explanation:
it will be 12 because if you see the length were number 12 is it's the same as the other side
Mary says that 2−3 is equal to −8. Explain what Mary is doing wrong.
Answer:
2-3=-1
Step-by-step explanation:
Since 2 is only 1 number below 3
ussaully we would do 3-2=1 but this is 2-3 so the answer is -1
Write the rational number 46/1000 as a decimal
Answer:
0.046
Step-by-step explanation:
Answer:
0.046
Step-by-step explanation:
If you multiply a number by 3 and then subtract 5, you will get 40 what is the number
Answer:
Number = 15.
Step-by-step explanation:
Given : If you multiply a number by 3 and then subtract 5, you will get 40.
To find : what is the number.
Solution : We have given if you multiply a number by 3 and then subtract 5, you will get 40.
According to question :
Let the number = x
Multiply is with 3 = 3x
Subtract 5 from it we get 40 .
3x -5 = 40
On adding both sides by 5
3x = 45 .
On dividing both sides by 3
x = 15.
Therefore, Number = 15.
Answer:
15
Step-by-step explanation:
3×y-5=40
3y-5=40
3y=40+5
3y=45
y=45÷3
y=15
Which quadratic equation has no real roots? Choose exactly two answers that are correct. Question 12 options: –x2 2x – 6 = 0 –2x2 3x 4 = 0 2x2 x – 6 = 0 2x2 – x 3 = 0.
The quadratic equations that have real roots are [tex]-2x^2+3x+4 = 0[/tex] and [tex]2x^2+x-6 = 0[/tex].
What is the discriminant of a quadratic equation?The value of a discriminant of a quadratic equation shows how many roots f(x) have. If the value of the discriminant is greater than 0 then the quadratic equation has real and distinct roots and if the value of the discriminant is equal to 0, then the quadratic equation has real and same roots. In case the value of the discriminant is less than zero then the quadratic equation will have no real roots.
In order to know if the quadratic equation has real roots or not, we need to find the discriminant of the given quadratic equations,
A.) [tex]-x^2+2x -6 = 0[/tex]
Here, a= -1, b=2 and c=-6
[tex]D = b^2 -4ac[/tex]
[tex]D = 4 -24\\D = -20[/tex]
As the value of the discriminant is negative it will not have real roots.
B.) [tex]-2x^2+3x+4 = 0[/tex]
Here, a= -2, b=3 and c=4
[tex]D = b^2 -4ac[/tex]
[tex]D = 9 +32\\D = 41[/tex]
As the value of the discriminant is positive it will have real roots.
C.) [tex]2x^2+x-6 = 0[/tex]
Here, a=2, b=1 and c=-6
[tex]D = b^2 -4ac[/tex]
[tex]D = 1 +48\\D =49[/tex]
As the value of the discriminant is positive it will have real roots.
A.) [tex]2x^2 -x+3 = 0[/tex]
Here, a=2, b=-1 and c=3
[tex]D = b^2 -4ac[/tex]
[tex]D = 1-24\\D = -23[/tex]
As the value of the discriminant is negative it will not have real roots.
Learn more about Discriminant:
https://brainly.com/question/15884086
Lydia got her learners permit and helped her parents drive to her grandparent's house and back. It took one hour less time to get there than it did to get back. The average speed on the trip there was 60 km/hour. The average speed on the way back was 40 km/hour. How many hours did the trip there take?
Select the correct response:
2 hours
3 hours
5 hours
4 hours
Using the relation between velocity, distance and time, it is found that the trip took 2 hours.
What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
[tex]v = \frac{d}{t}[/tex]
On the first part of the trip, a time of t was taken, with an average speed of 60 km/hour, hence:
[tex]60 = \frac{d}{t}[/tex]
d = 60t
On the second part, a time of t + 1 was taken, with an average speed of 40 km/hour, hence:
[tex]40 = \frac{d}{t+1}[/tex]
d = 40(t + 1).
Since the distance is equal for both parts, we can equal the equations and find the time.
60t = 40t + 40
20t = 40
t = 2.
The trip took 2 hours.
More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569
Write a contextual story for the equation 2x+4=24
Answer:
Step-by-step explanation:
2X=24-4 x=20/2 x=10
Answer:
Amy had 4 erasers. Brianna gave her x more erasers which doubled the amount of erasers she had. How many erasers does Amy have in total?
work out the value of angle x
Answer:
x = 45°
Step-by-step explanation:
the triangle has 2 congruent sides and is therefore isosceles with the base angles being congruent, both x
the sum of the 3 angles = 180° , then
x + x + 90° = 180° ( subtract 90° from both sides )
2x = 90° ( divide both sides by 2 )
x = 45°
PLEASE HELP
14 in.
12 in.
14 in.
Find the area of the figure above.
[?] square inches
Answer:
280 inches
Step-by-step explanation:
The area can be found by looking at each shape individually.
The area of the square can be found my multiplying the length by the width...
14*14 = 196 square inches
The area of the triangle can be found by multiplying the base by the height and dividing by 2...
A = b*h/2 (or some text books say half of the base times the height)
We knot the height of the triangle is 12 inches, and the base is implied as it shares a side with a square which has 4 equal sides of 14 inches. Therefore
A = (14*12)/2 = 84 square inches
We get the total area by combining the two segments...
Area (triangle) + Area (square) = Area (total)
84 + 196 = 280 square inches
A function is a fifth-degree polynomial. How many
turning points can it have?
exactly four
exactly five
four or less
* five or less
RETRY
Answer:
1st question the answer is four or less
2nd questions is the first and third one
Step-by-step explanation:
A function with a fifth-degree polynomial have 4 turning points.
What is mean by Subtraction?
Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
A function is a fifth-degree polynomial.
Now,
Since, We know that;
The turning point of n degree polynomial = n - 1
Here, The highest power of the polynomial = 5
Thus, The turning point of 5 degree polynomial = 5 - 1
= 4
Therefore, A function with a fifth-degree polynomial have 4 turning points.
Learn more about the subtraction visit:
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Ingredients for 10 pancakes
Your answer would be ten times the ingredients it would take to make ONE pancake.
What kind of question is this?
Felicidad grew 17 centimeters in the past year, and is now 1. 84 meters tall
Answer:
1.67
Step-by-step explanation:
I would like some help with this question please
The 3 angles when added together need to equal 170.
To find the 3rd angle subtract the 2 given angles from 180
180-30-70 = 80
Answer: B. 80
Answer:
B) 80
Step-by-step explanation:
All triangles add up to 180 degrees
So to solve angle 3 the equation would be
Angle 3 = 180 - Angle 1 - Angle 2
Angle 3 = 180 - 30 - 70
Angle 3 = 80
Instructions: Find the missing side lengths. Leave your answers as radicals in the simplest form. I need help with finding what a is.
Answer:
a = 17
Step-by-step explanation:
using the cosine ratio in the right triangle and the exact value
cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{a}{17\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
a × [tex]\sqrt{2}[/tex] = 17[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )
a = 17
b = 17 since the legs of an isosceles triangle are congruent
im just trynna see if im correct but this is urgentt
Answer:
dont have question
Step-by-step explanation:
Answer:
161.557- so the second one
Step-by-step explanation:
Jim had €80 he spent 0.3 of it how much did he spend?
Answer:
€24
Step-by-step explanation:
If he had €80 and spent 0.3 of it, he spent 30% or 30/100 of it.
€80*[tex]\frac{30}{100}[/tex] = €80*[tex]\frac{3}{10}[/tex] = €24.
Please mark as brainliest!
Show your work. The height of players in inches for a basketball team is: 85. 83. 76. 78. 89. 80. 79 81. 74. 82, 82, 84, 80, 84 The height of players in inches for a soccer team 7 70, 65, 79, 80, 69, 66, 71, 70, 74, 62, 65, 74, 74. 79, 70, 71, 72, 69, 77, 74, 70, G7, 67, 72 What is the approximate mean height difierenco between the two sports? 1. Find the mean of the basketball team. 2.5 points 2. Find the mean of the soccer team. 2.5 points 3. What is the approximate mean height difference between the two sports? 5 points
"Basketball players are generally taller.
Basketball player heights vary slightly more.
Step-by-step explanation:
I hope this helps!
Basketball players are taller because the average (mean) of basketball players is greater than soccer players.
Basketball player heights vary more because the MAD is greater or more than the soccer players."
Use any method to solve the following system of equations
5x = 8 - 2y
-5x + 8 = 2y
A (-5,-3)
B no solution
C infinitely many solutions
D (-5,3)
Answer:
no solution
Step-by-step explanation:
The sum of number is 16 and the sum of their square is 130.Find the number
Paxton multiplied 2/3 and 5/8 and came up with 30/24. What mistakes did Paxton make and what is the correct answer to Paxton's math problem?
Step-by-step explanation:
Paxton multiplied 2/3 times the 5 in the numerator. Then he multiplied the 3 and 8 in the denominator.
The correct way to solve this problem would be to multiply the numerators and then multiply the denominators. This would give you 10/24. You can then divide the numerator and deonminator by 2 and get 5/12.
Please Help! Answer Number 4
Answer:
1485
Step-by-step explanation:
sorry if im wrong
In the diagram above <1=40%.find the measure of <2. <2=[?]%
Answer:
∠ 2 = 40°
Step-by-step explanation:
∠ 1 and ∠ 2 are corresponding angles and congruent, thus
∠ 2 = ∠ 1 = 40°
HELP ME PLZZ I NEED HELP WITH THIS!!
I think the answer should be D. The evidence is relevant because it explains how video games change the body
Gabriell's age is three times Mikhail's age. the sum of their age is 116. what is Mikhail's age?
What is the approximate volume of the cylinder
A 324 cm3
B 452.16 cm3
C 734.76 cm3
D 1, 017.36 cm3
Answer:
B 452.16 cm^3
Step-by-step explanation:
the volume of the cylinder is 16π x 9, and if we replace π with 3.14, the answer will be 452.16 cm^3
Step-by-step explanation:
[tex]v = \pi \: r {}^{2} h[/tex]
v = ?
r = 4 cm
h = 9 cm
[tex]v = \frac{22}{7} \times 4 {}^{2} \times 9[/tex]
[tex]v = \frac{22}{7} \times 16 \times 9[/tex]
[tex]v = \frac{3168}{7} [/tex]
[tex]v = 452.57 \: cm {}^{3} [/tex]
if this helped pls give brainliest
how to acquire 401k step by step pls!!!
Decide how much to contribute.
Get a 401(k) match.
Consider a Roth 401(k).
Scrutinize autopilot settings.
Pick diversified 401(k) investments.
Keep 401(k) costs low.
Balance retirement saving with other expenses.
Roll over your 401(k) when you change jobs.
What mixed number is equivalent to 4.01?
Answer:
4 1/100
Step-by-step explanation:
Answer:
4 1/100
Step-by-step explanation:
Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are 2 numbers to the right of the decimal point, place the decimal number over 10 ^2 ( 100 ) . Next, add the whole number to the left of the decimal.
I climb half the steps in a staircase. Next, I climb one-third of the remaining steps. Then I climb one-eight of the rest and stop to catch my breath. What is the least possible number of steps in the staircase?
Given parameters:
First sets of staircase = [tex]\frac{1}{2}[/tex]
Next sets = [tex]\frac{1}{3}[/tex]
Third sets = [tex]\frac{1}{8}[/tex]
Unknown:
The least possible number of steps =?
Solution:
The least possible number of steps will be the lowest common multiples of these sets of steps.
We want fractions that will give whole numbers because realistically, one cannot take half a step of a step.
So, the number of steps must be a multiple of denominators of the fractions given.
Denominators are 2 , 3 and 8
Their least common multiple is 24;
This the lowest number by which 2, 3 and 8 can all divide.
So, the least number is 24 steps
please help me I have tried and I'm so confused i don't know why- (due in 10 minutes)
Answer:
B
C
A
D
E
Step-by-step explanation:
i know this is due in 10 mins so i didnt want to waste time aha
but ill gladly give an explanation later
Answer:
See below.
Step-by-step explanation:
A) a⁴ => Some number to the power of four
B) y - 4 => Four less than an unknown number
C) z / 4 => Quotient of a variable and four
D) 4x => Four times an unknown value
E) b + 4 => Four more than some number