Below is the normal distribution curve for height (inches) of NBA basketball players.
If there are 4500 NBA players, approximately how many of them are taller than 91 inches?(Round to nearest whole number)
Answers
==================================================
Explanation:
mu = 75 = mean, since it's at the centersigma = 8 = standard deviation (each gap between the tickmarks is 8 units wide)From the given info, we see that 91 is two standard deviations above the mean. The diagram shows 91 is two tickmarks to the right of center. Or we could note that z = (x-mu)/sigma = (91-75)/8 = 2.
Roughly 95% of the normal distribution is within 2 standard deviations of the mean. I'm using the Empirical Rule.
So about 95% of the population is between 59 and 91 inches tall. That leaves 5% of the population in both tails combined. Cut this in half to get 2.5%
We have 2.5% of the population taller than 91 inches
2.5% of 4500 = 0.025*4500 = 112.5 = 113
Roughly 113 people are taller than 91 inches
----------
Side notes:
The answer is approximate because the Empirical Rule is just a rough approximation of percentages; also, I rounded 112.5 to 113 (it makes no sense to have half a person).59 inches = 4 ft, 11 in75 inches = 6 ft, 3 in91 inches = 7 ft, 7 inRoughly 95% of the population of NBA players is between 4 ft, 11 in and 7 ft, 7 in, according to this data set.Related Questions
Enter an estimate. Round each mixed number to the nearest whole in your estimate
Answers
Answer:
1. 4-2=2
2.2 10/21
Step-by-step explanation:
Jackson recorded the growth of a plant over 10 weeks. The equation y=0.25x+4 represents the height in inches over the time in weeks. How tall will the plant be after 5 weeks? How tall will it be after 12 weeks? (PLEASE HELP)
Answers
Answer:
5.25 inches after 5 wks
7 inches after 12 wks
Step-by-step explanation:
after 5 weeks: y = .25(5) + 4 which is 5.25 inches
after 12 weeks: y = .25(12) + 4 which is 7 inches
solve each inequality and show work.
1) 4x - 2 > 2x + 8
2) -3x - 6 > 4x - 20
3) 4(x + 1) < 3x - 2
4) 2x + 3 + x < -2x + 1 + 12
5) 2(x - 1) > 4x + 4 - 5x
6) 2 + 4x -7 < 8x + 2 - 2x
Answers
Answer: Use the app photo math, you just take a picture and it gives you the answer and shows you the steps:)
1) x> 5
2) x< 2
3) x<-6
4) x< 2
5) x> 2
6) x> - 7/2
Step-by-step explanation:
See the images below for the work:) The images will be in order with the number the first problem will be the answer to the first.
Answer:
[tex]\sf 1)\:4x - 2 > 2x + 8[/tex]
Add 2 from both sides:
[tex]\sf 4x-2+2>2x+8+2[/tex]
[tex]\sf 4x>2x+10[/tex]
Subtract 2x from both sides:
[tex]\sf 4x-2x>2x+10-2x[/tex]
[tex]\sf 2x>10[/tex]
Divide both sides by 2:
[tex]\sf \cfrac{2x}{2}>\cfrac{10}{2}[/tex]
[tex]\boxed{\sf x>5}[/tex]
_______________________________
[tex]\sf 2)\: -3x - 6 > 4x - 20[/tex]
Add 6 from both sides:
[tex]\sf -3x-6+6>4x-20+6[/tex]
[tex]\sf -3x>4x-14[/tex]
Subtract 4x from both sides:
[tex]\sf -3x-4x>4x-14-4x[/tex]
[tex]\sf -7x>-14[/tex]
Multiply both sides by -1:
[tex]\sf\left(-7x\right)\left(-1\right)<\left(-14\right)\left(-1\right)[/tex]
[tex]\sf 7x<14[/tex]
Divide both sides by 7:
[tex]\sf \cfrac{7x}{7}<\cfrac{14}{7}[/tex]
[tex]\boxed{\sf x<2}[/tex]
_______________________________
[tex]\sf 3)\: 4(x + 1) < 3x - 2[/tex]
Apply distributive property:
[tex]\sf 4x+4<3x-2[/tex]
Subtract 4 from both sides:
[tex]\sf 4x+4-4<3x-2-4[/tex]
[tex]\sf 4x<3x-6[/tex]
Subtract 3x from both sides:
[tex]\sf 4x-3x<3x-6-3x[/tex]
[tex]\boxed{\sf x<-6}[/tex]
_______________________________
[tex]\sf 4)\: 2x + 3 + x < -2x + 1 + 12[/tex]
Combine like terms:
[tex]\sf (2x+x)= 3x[/tex]
[tex]\sf( 1+12)=13[/tex]
[tex]\sf 3x+3<-2x+13[/tex]
Subtract 3 from both sides:
[tex]\sf 3x+3-3<-2x+13-3[/tex]
[tex]\sf 3x<-2x+10[/tex]
Add 2x from both sides:
[tex]\sf 3x+2x<-2x+10+2x[/tex]
[tex]\sf 5x<10[/tex]
Divide both sides by 5:
[tex]\sf \cfrac{5x}{5}<\cfrac{10}{5}[/tex]
[tex]\boxed{\sf x<2}[/tex]
________________________________
[tex]\sf 5)\: 2(x - 1) > 4x + 4 - 5x[/tex]
Combine like terms:
[tex]\sf (4x-5x)=-x[/tex]
[tex]\sf 2\left(x-1\right)>-x+4[/tex]
Apply distributive property:
[tex]\sf 2x-2>-x+4[/tex]
Add 2 from both sides:
[tex]\sf 2x-2+2>-x+4+2[/tex]
[tex]\sf 2x>-x+6[/tex]
Add x from both sides:
[tex]\sf 2x+x>-x+6+x[/tex]
[tex]\sf 3x>6[/tex]
Divide both sides by 3:
[tex]\sf \cfrac{3x}{3}>\cfrac{6}{3}[/tex]
[tex]\boxed{\sf x>2}[/tex]
_______________________________
[tex]\sf 6)\: 2 + 4x -7 < 8x + 2 - 2x[/tex]
Subtract 2 from both sides:
[tex]\sf 2+4x-7-2<8x+2-2x-2[/tex]
[tex]\sf 4x-7<8x-2x[/tex]
Combine like terms:
[tex]\sf (8x-2x)=6x[/tex]
[tex]\sf 4x-7<6x[/tex]
Add 7 from both sides:
[tex]\sf 4x-7+7<6x+7[/tex]
[tex]\sf 4x<6x+7[/tex]
Subtract 6x from both sides:
[tex]\sf 4x-6x<6x+7-6x[/tex]
[tex]\sf -2x<7[/tex]
Multiply both sides by -1:
[tex]\sf \left(-2x\right)\left(-1\right)>7\left(-1\right)[/tex]
[tex]\sf 2x>-7[/tex]
Divide both sides by 2:
[tex]\sf \cfrac{2x}{2}>\cfrac{-7}{2}[/tex]
[tex]\boxed{\sf x>-\frac{7}{2}}[/tex]
_______________________________________
find the length of CD.
Answers
PLEASE HELP! No random links.
Answers
Answer:
B and F are non-statistical questions
Step-by-step explanation:
B is asking how many years until you are 16; this is not statistical because it just a fact. F is pretty much the same because it's just asking a subjective fact-like question.
Statistical questions ask for a collection of varying data. If there is only one data point, it is non-statistical.
in a school the ratio of the number of pupils to the school of teachers is 20 ;1 if the number of pupils is 840 how many teachers are there?
Answers
Answer:
42
Step-by-step explanation:
[840/20]*1=42
Answer:
the correct answer is that the will be 42 teachers
Step-by-step explanation:
1/20x840
=42
A diagram shows a kite and its frame.
Answers
Answer:
indeed it does
Step-by-step explanation:
wheres the diagram exactly?
A clock runs 5 minutes slow every hour. The clock was set
at the proper time 12 hours ago. The correct time now is 3 p.m.
How many minutes will elapse before the clock indicates 3 p.m.?
Answers
(1, -3) and (0,-1)
Equation: y=-2x-1
Slope:-2
Y-intercept:___?
Answers
Answer:
-1
Step-by-step explanation:
Find the rectangle that has:
Area 24 square feet
Perimeter = 20 feet
PLEASE HELP ME
Answers
Answer:
option E
Step-by-step explanation:
have a great day
list the planets in order from least to greatest
Only give me an answer if you know the answer please
Answers
Answer:
Uranus, Neptune, Saturn, Jupiter
Step-by-step explanation:
l
Solve 10^(x + 2) = 34
Answers
Answer:
-.4685
Step-by-step explanation:
[tex]x^y=z\\y=log_zy\\10^{x+2}=34\\x+2=log_{10}34\\x+2=log34\\x+2=1.531478917\\x=-.468521083[/tex]
HELP PLZZ HURRY IMA GET A ZERO
Answers
Answer:
m∠G= 180° - ( 59+77 )°
Step-by-step explanation:
320 divided by 60=
Will give brainliest
Answers
Answer:
5.33333 (repeating)
Step-by-step explanation:
Answer:
5.333333 and the 3 is infinite.
Step-by-step explanation:
You deposit $6000 in an account that earns 3% annual interest. Find the balance after 6 years if this interest is
compounded with the given frequency.
Answers
HELP ASAP
I need someone to help please I need to make my mom proud
Answers
Answer:
perimeter =52cm
hope it helps.
stay safe healthy and happy.Answer:
52 cm (second opinion)
Step-by-step explanation:
add all the sides
30 pts ! The height of the Ferris wheel in feet can be represented by the function 50 cos (π/15(x-10))+52 with time in x seconds. When does the height of 80 feet occur on the interval 0
Answers
The time that the height of 80 feet occur on the interval 0 is 4.662 seconds.
Given:
50 cos (π/15(x-10))+52
Height=80 feet
Time= x second
Hence:
height (h)= 50 cos [pie(x - 10 )/15 ] + 52
80 = 50 cos [pie( x - 10 )/15 ]+ 52
Collect like terms
80 - 52 = 50 cos [ pie( x - 10 )/15 ]
28 = 50 cos [ pie( x - 10 )/15 ]
cos [pie( x - 10 )/15 ] = 28/50
cos [ pie( x - 10 )/15 ] =56
cos [pie( x - 10 )/15 ]= cos ( 56 )
cos [ pie( x - 10 )/15 )]= cos ( 0.3111 pie )
Hence:
pie( x - 10 )/15 = 0.3111
( x - 10 )/15 = 0.3111
x - 10 = 15 × 0.3111
x - 10 = 4.662
x = 10 + 4.662
x = 14.662 seconds
Therefore the correct option is C.
Learn more about height here:https://brainly.com/question/1739912
#SPJ1
A triangle has three angles of 36°, 34°, and 110°.
A. equilateral B. obtuse C. acute D. right
Answers
Answer:
Obtuse Triangle.
Step-by-step explanation:
An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In this case, 110° is more than 90°. So, its an obtuse angle. If one angle of the triangle is obtuse, then the other two angles with always be acute.
Hence, this is an obtuse triangle
The triangle with the given measures is obtuse angle triangle. Therefore, option B is the correct answer.
What is an obtuse angle triangle?An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°.
Given that, a triangle has three angles of 36°, 34°, and 110°.
Here, one of the angle measure more than 90°, that is 110°.
Sum of remaining two angles is 36°+34°
= 70°
Therefore, option B is the correct answer.
Learn more about the obtuse angle triangle here:
https://brainly.com/question/1581660.
#SPJ3
5. Subtract using the zero principle.
b) (2y- * - 3y) - (-2x + y)
Answers
Answer:
4x + 2y
Step-by-step explanation:
( 2x - - 3y ) - ( - 2x + y )
→ Simplify
2x + 3y + 2x - y
→ Collect x and y terms
4x + 2y
(11.5) - (-11.5)
Jamal says he thinks the answer is 23. His friend, Reggie, claims the
answer will be 0.
Do you agree with either of them?
explain as long as you can
Answers
Answer:
Jamal is correct.
Step-by-step explanation:
(11.5) − (−11.5)
=11.5 − (−11.5)
=11.5 + 11.5
=23
Evaluate the radical.
3√512
Enter your answer in the box.
Answers
Answer:
The Answer is 8.
Its the only Number that Multiplies itself three times to give 512.
So the Cube root of 512... Should be 8.
Answer:
8.
Step-by-step explanation:
512 = 64* 8
∛512 = ∛64 * ∛8
= 4 * 2
= 8.
PLS HELPP GUYS !!!! in a hurry !!!!!!!
Answers
Answer:
A because it uses all of domains
Step-by-step explanation:
The perimeter of a right -angled triangle is 72 cm . Its side are in the ratio 3 : 4: 5.Work out the longest length of the triangle.
Answers
Answer:
The longest length is 30 cm
Step-by-step explanation:
Mathematically, the perimeter of a triangle is simply the sum of the lengths of its three sides
So, what we have to do here is divide the perimeter in the given ratio to get the side lengths
since 5 is the biggest of the numbers in the ratio, it represents the largest length value
so we have this as;
(3 + 4 + 5) = 12
So that would be;
5/12 * 72
= 5 * 6 = 30
2p Determine the value of a such that the system of equations below would have an infinite number of solutions?
18x + 12y = 36
ax – 8y =- 24
Answers
2p Determine the value of a such that the system of equations below would have an infinite number of solutions?
18x + 12y = 36
ax – 8y =- 24
Answer: a=-12
………………………………………………….
Answers
Answer:
Tan(Ф) = [tex]\frac{12}{5}[/tex]
Step-by-step explanation:
Tan(Ф) = [tex]\frac{opposite}{adjacent}[/tex]
Tan(Ф) = [tex]\frac{12}{5}[/tex]
Hope this helps!
A soup can will have a radius of 4 cm and a
height of 10.5 cm. How much metal is needed
to make the can?
Answers
Answer:
It's about 365 cm²Step-by-step explanation:
2×πr² + 2πr×h =
= 2×π×4² + 2π×4×10.5 =
= 32π + 84π =
= 116π ≈
≈ 364.42 cm²
The total metal needed to make the can is 364.42 square centimeters if the soup can will have a radius of 4 cm and a height of 10.5 cm.
What is a cylinder?In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We have:
The radius of the soup can r = 4 cm
The height of the soup can h = 10.5 cm
We know the surface area of the cylinder:
[tex]\rm S = 2\pi r(r+h)[/tex]
[tex]\rm S = 2\pi \times 4(4+10.5)[/tex]
S = 364.42 square cm
Thus, the total metal needed to make the can is 364.42 square centimeters if the soup can will have a radius of 4 cm and a height of 10.5 cm.
Learn more about the cylinder here:
brainly.com/question/3216899
#SPJ2
What is the quotient of 6.58* 10^6 and 4.7×10^3
expressed in scientific notation?
Answers
Answer:
1.4 · 10³
Step-by-step explanation:
6.58 · [tex]10^{6}[/tex] ÷ 4.7 · 10³
6.58 ÷ 4.7 = 1.4
[tex]10^{6}[/tex] - 10³ = 10³
1.4 · 10³
Answer:
3.0926 x 10^10
Step-by-step explanation:
Is it possible to find two data sets A and B such that A has a greater median and mode,
while B has a greater average and range? If you think the answer is yes, provide an example. If you think the answer is no, explain why not.
Answers
Answer:
54
Step-by-step explanation:
You add 5+19 and divide my 2
Complete the table below.
Answers
Answer:
4 , 2, 8, 4 ..............
A jug contains 1560 no of Apple juice in it. How many will each child get if 12 children share juice equally?
Answers
Answer:
130
Step-by-step explanation:
total apple juice= 1560
if 12 children share juice equally
they get
=1560/12
= 130