In an all boys school, the height of the student body are normally distributed with a mean of 69 inches and a standard deviation of 5 inches. using the empirical rule, what percentage of the boys are between 54 and 84 inches tall?
Answers
Answer:
99.7% of the boys are between 54 and 84 inches tall.
Step-by-step explanation:
The heights 54 and 84 inches are 3 standard deviations away from the mean. Thus, 99.7% of the boys are between 54 and 84 inches tall.
The percentage of the boys are between 54 and 84 inches tall is 99.7%
What is percentage?
Percentage a relative value indicating hundredth parts of any quantity.
What is empirical rule?
The empirical rule or the three-sigma rule , is a statistical rule which states that for a normal distribution, almost all observed data will fall within three standard deviations of the mean.
The empirical rule predicts that 68% of observations falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).
From question mean(μ) = 69 in. and standard deviation(σ)= 5 in.
(µ ± σ) = (69 ± 5)
=64 - 74
=68%
(µ ± 2σ) =(69 ± 10)
=59 -79
=95%
(µ ± 3σ) =(69 ± 15)
=54 -84
= 99.7%
Thus the percentage of the boys are between 54 and 84 inches tall is 99.7%
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Related Questions
I'LL GIVE BRAINLIEST PLEASE ANSWER ALL FOUR PLEASE
Answers
Answer:
Step-by-step explanation:
1.) 700*0.42 = 294. Out of the 700 people at the concert, 294 are tennagers.
2.) 1.07*$450 = $481.50, including sales tax (final price)
3.) 120/(100%-85%) = 120/0.15 = 800. Original amount of water is 800 ml (Check by 800mL*0.15, which equals 120 mL)
4.) 100-35-45 = 20%
250*20% = 50; Out of the 250 sandwiches, Josh made 50 ham sandwiches.
(PLEASE HELP)
What is the measure of the unlabeled angle in the triangle below?
A.38
B.40
C.49
D.89
Answers
91+49=140
180-140=40
Answer: B. 40
Step-by-step explanation:
We know that a triangle has to equal 180 degrees and we have measurements of two sides 49 and 91 we add those together to get 140 and subtract that from 180 to get you answer of B. 40
In the accompanying diagram of circle O, mAB = 64 and
m
What is the measure of CD?
A 104°
B 80°
C 52°
D 40°
Answers
Answer:
D 40°
Step-by-step explanation:
52= X + 64 /2
*2. *2
104 = X + 64
-64 -64
40 =X
There were 5 girls and 22 boys in Mrs. Pantoja's math class.
Write the number of girls as a fraction of the number of boys. Then write the
fraction as a decimal.
Answers
Answer:
5/22 and for the decimal it will be, 0.22727272727273.
Step-by-step explanation:
Simplify: –3(y + 2)2 – 5 + 6y
What is the simplified product in standard form?
y2 +
y +
Answers
- 17 woule be the correct answer for the equation being simplified
Answer:
For edge
Step-by-step explanation:
The first one is -3
The second one is -6
The last one is -17
please show your work.
Answers
Answer:
1. 8.19, 2. 25.96, 3. 3.95
Step-by-step explanation:
use soh cah toa
1. cos is adjacent/hypotenuse
cos73=x/28
multiply both sides by 28
28cos73=x=8.186
2. sin is opposite over hypotenuse
sin68=x/28
multiply both sides by 28
28sin68=x=25.961
3. sin is opposite over hypotenuse
sin26=x/9
myltiply both sides by 9
9sin26=x=3.945
Andrea uses 9.2 pints of white paint and blue paint to paint her bedroom walls. 3/5 of this
amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to
paint her bedroom walls? 1)
Answers
Answer:
You'd need 2/5 of 9.2 pints of blue paint
2/5 * 9.2 = .4 * 9.2 = 3.68 pints of blue paint
Step-by-step explanation:
What is the area of the triangle?
24
7
25
units 2. Help me please
Answers
Answer:
area of triangle=1/2×base×height
area of triangle=1/2×24×7
area of triangle=84unit²
Write a function rule for the values in the table
10
10
12
20
18
50
20
60
y=
Answers
Answer:
y = 5x - 40
Step-by-step explanation:
The function rule can be written in slope-intercept form, y = mx + b.
Let's find slope (m) and y-intercept (b) of the function, using the values given in the table.
✔️Slope (m) = change in y / change in x
Using two pair of values from the table, (10, 10) and (12, 20),
Slope (m) = (20 - 10) / (12 - 10) = 10/2 = 5
Slope (m) = 5
✔️ y-intercept (b):
Substitute (x, y) = (10, 10) and m = 5 into y = mx + b.
Thus:
10 = 5(10) + b
10 = 50 + b
10 - 50 = b
b = -40
✔️Write the function by substituting m = 5 and b = -40 into y = mx + b
Thus:
y = 5x + (-40)
y = 5x - 40
hello please help i’ll give brainliest
Answers
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 1/2
Explanation:
1/4 - (-1/4) = 1/4 + 1/4 = 1/2
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Judah rides his bike 15 miles in 1/2 an hour.How many miles does he ride in one hour?
Answers
thank you for hurrying here is the very last one Explain how you would find the perimeter of this triangle.
Answers
Step-by-step explanation:
Use the method of TOA CAH SOH.
[tex]tan(51.3) = \frac{opp}{adj} \\ \tan(51.3) = \frac{u}{4} \\ u = 4 \tan(51.3) [/tex]
[tex] cos(51.3) = \frac{adj}{hypo} \\ \cos(51.3) = \frac{4}{v} \\ v \cos(51.3) = 4 \\ v = \frac{4}{ \cos(51.3) } [/tex]
Perimeter of triangle = Sum of all sides =
[tex]u \: + \: v + 4[/tex]
Answer:
use right angeled triangle method.
What is the GCF for 4x^2yz^3 and 12xz^2
Answers
Answer:
The great common factor is:
x(2z)²Steps:
given:
4x²yz³12xz²4x²yz³ = 2²x²z²yz
4x²yz³ = x(2z)²xyz
---------------------------------
12xz² = 4×3xz²
12xz² = 2²3xz²
12xz² = x(2z)²3
The great common factor is: x(2z)²
Answer:
4xz^2.
Step-by-step explanation:
GCF of 4 and 12 is 4
GCF of x^2 and x is x.
GCF of z^3 and z^2 is z^2.
 HELP PLZ DUE RN BRAINIEST TO WHOEVER RIGHT
Answers
Answer:
Step-by-step explanation:
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
-
b
±
b
2
-
4
(
a
c
)
2
a
Substitute the values
a
=
2
a
=
2
,
b
=
−
6
b
=
-
6
, and
c
=
5
c
=
5
into the quadratic formula and solve for
x
x
.
6
±
√
(
−
6
)
2
−
4
⋅
(
2
⋅
5
)
2
⋅
2
6
±
(
-
6
)
2
-
4
⋅
(
2
⋅
5
)
2
⋅
2
Simplify.
Tap for fewer steps...
Simplify the numerator.
Tap for fewer steps...
Raise
−
6
-
6
to the power of
2
2
.
x
=
6
±
√
36
−
4
⋅
2
⋅
5
2
⋅
2
x
=
6
±
36
-
4
⋅
2
⋅
5
2
⋅
2
Multiply
−
4
-
4
by
2
2
.
x
=
6
±
√
36
−
8
⋅
5
2
⋅
2
x
=
6
±
36
-
8
⋅
5
2
⋅
2
Multiply
−
8
-
8
by
5
5
.
x
=
6
±
√
36
−
40
2
⋅
2
x
=
6
±
36
-
40
2
⋅
2
Subtract
40
40
from
36
36
.
x
=
6
±
√
−
4
2
⋅
2
x
=
6
±
-
4
2
⋅
2
Rewrite
−
4
-
4
as
−
1
(
4
)
-
1
(
4
)
.
x
=
6
±
√
−
1
⋅
4
2
⋅
2
x
=
6
±
-
1
⋅
4
2
⋅
2
Rewrite
√
−
1
(
4
)
-
1
(
4
)
as
√
−
1
⋅
√
4
-
1
⋅
4
.
x
=
6
±
√
−
1
⋅
√
4
2
⋅
2
x
=
6
±
-
1
⋅
4
2
⋅
2
Rewrite
√
−
1
-
1
as
i
i
.
x
=
6
±
i
⋅
√
4
2
⋅
2
x
=
6
±
i
⋅
4
2
⋅
2
Rewrite
4
4
as
2
2
2
2
.
x
=
6
±
i
⋅
√
2
2
2
⋅
2
x
=
6
±
i
⋅
2
2
2
⋅
2
Pull terms out from under the radical, assuming positive real numbers.
x
=
6
±
i
⋅
2
2
⋅
2
x
=
6
±
i
⋅
2
2
⋅
2
Move
2
2
to the left of
i
i
.
x
=
6
±
2
i
2
⋅
2
x
=
6
±
2
i
2
⋅
2
Multiply
2
2
by
2
2
.
x
=
6
±
2
i
4
x
=
6
±
2
i
4
Simplify
6
±
2
i
4
6
±
2
i
4
.
x
=
3
±
i
2
x
=
3
±
i
2
The final answer is the combination of both solutions.
x
=
3
2
+
i
2
,
3
2
−
i
2
x
=
3
2
+
i
2
,
3
2
-
i
2
❗❗❗❗After the February phase of the revolution, what major mistake did the new provisional government make that would make it more susceptible to being overthrown?
ASAP Giving you 100 points ❗❗❗❗
Answers
Answer: c
Step-by-step explanation:
Answer:
again, did some reading, they make note of continuing battle to support Serbia. I saw nothing of Japan. so my calculated guess would be the 2nd one. to continue in battle even with heavy casualties
Step-by-step explanation:
doesn't mean I'm right though.
5[5y -6] = 4[y -7]
solve the equation by balancing the equation
Answers
Answer: 2/21
Step-by-step explanation:
5[5y -6] = 4[y -7]
We first need to open the bracket to be able to solve the question
25y - 30 = 4y - 28
Collect like terms
25y - 4y = -28 + 30
21y = 2.
y = 2/21
Therefore, the value for y is 2/21.
Which equation shows a quadratic function where the vertex is at the origin?
a. y = –4x
2 + 4
b. y = 4x
2
c. y = 4x
2 + 4
d. y = −4x
2 + 4x – 1
Answers
Answer:
B. y = 4x
2 + 4
Step-by-step explanation:
sana nakatulong
Which equation has a axis of symmetry of x=4 ?
Answers
I think you forgot to add the picture. However, any x = 4 equation will result in a graph with a vertical line on the x-axis. For example x = 20 will be a vertical line on x-axis 20.
Or, in a more difficult equation like this...
10x - 60 = 10
10x = 10 +60
10x = 70
x = 7,
where the graph looks like a vertical line with a point on the x axis on 7.
A new apartment complex is opening in College Station. The rent for each apartment is determined by its size: $1,500 for a 3-bedroom apartment, $900 for a 2-bedroom, and $500 for 1-bedroom. If all the apartments are occupied for one month, the rent revenue will be $750,000. There are 200 more 1-bedroom apartments than the number of 2-bedroom and 3-bedroom apartments combined. There are a total of 1,550 bedrooms for all 1,000 apartments. Which system of equations can be used to determine the number of 1-bedroom apartments (x), the number of 2-bedroom apartments (y), and the number of 3-bedroom apartments (z)?
Answers
Answer:
500x + 900y + 1500z = 750,000 - - - (1)
x + y + z = 1000 - - - - (11)
x = 200 + y + z - - - - (111)
x + 2y + 3z = 1550 - - - (1V)
Step-by-step explanation:
I bedroom = x
2 bedroom = y
3 bedroom = z
All the condition s gjvbbs'
500x + 900y + 1500z = 750,000 - - - (1)
x + y + z = 1000 - - - - (11)
x = 200 + y + z - - - - (111)
x + 2y + 3z = 1550 - - - (1V)
if y varies inversely as x, and y =35 when x =14, find x when y =15.
Answers
Answer:
[tex]x = 32 \frac{2}{3} [/tex]
Step-by-step explanation:
[tex]y = \frac{k}{x} ,where \: k \: is \: a \: constant.[/tex]
Let's find the value of k first.
When y= 35, x= 14,
[tex]35 = \frac{k}{14} [/tex]
k= 14(35)
k= 490
Substitute the value of k into the equation:
[tex]y = \frac{490}{x} [/tex]
When y= 15,
[tex]15 = \frac{490}{x} [/tex]
15x= 490
x= 490 ÷15
[tex]x = 32 \frac{2}{3} [/tex]
One of the measures of a triangle is 30º. If the sum of the other 2 angles is 150º and the differnce their measures is 18º what are the of the unkown angles
Answers
Answer: 84° & 66°
Step-by-step explanation:
find our variables...
difference in two unknown angles is 18 so...
Let's use a, b, & c to set up
a=30 b=b c=b-18
150=b+c
150=b+(b-18)
150=2b-18
168=2b
84=b
Use our known b to find c...
c=b-18
c=84-18
c=66
Adding all three up to make sure they give us 180 degrees is a good way to check our work.
a+b+c=
30+84+66=180
joey took a total of 12 pages of notes during 3 hours of class. after attending 4hours of class, how many pages of notes will joey have in his notebook
HELPPP
Answers
Answer:
If he kept taking notes at the same pace, he would have 16 pages of notes in his notebook.
Step-by-step explanation:
By dividing the number of pages of notes taken by the time spent taking them, you can find his rate of note-taking, which is 4 pages an hour. By adding another hour of notes, he should have 16 pages of notes. But if this question is asking for 4 more hours, the answer would be 28 pages.
A six-sided die is rolled 150 times.
Which of the following BEST describes how many times it is likely to land on an odd number
А
exactly 50 times
exactly 75 times
С
approximately 50 times
D
approximately 75 times
C
Kk
Answers
Answer:
approximately 75 times
Answer:
approximately 75 times
Step-by-step explanation:
The radius of a circle is 3.8 feet find the diameter
Answers
Answer:
7.6
Step-by-step explanation:
radius is half the diameter so multiply 3.8 times 2.
Help me with Math
( graphs )
PLEASEEE
Answers
Toby found a $52 wallet on the clearance
rack for 60% off. If sales tax is 6.25%, how
much will he pay in total?
A.$22.10
B.$23.75
C.$28.50
D.$33.15
Answers
Answer:
A. $22.10
Step-by-step explanation:
52 x 0.4 = 20.8
20.8 x 1.0625 = 22.1
Use matrices to determine the coordinates of the vertices of the rotated figure. Then graph the pre-image and the image of the same coordinate grid. Rot90 for UVW with vertices U(-4, 7), V(5, 4), and W(5, -5).
Answers
Answer:
The answer is A
Step-by-step explanation:
just got it right on edge :)
The images of the points are U' (-7, -4), V' (-4, 5), W' (5, 5)
What is Rotation?A rotation is a type of transformation that rotates each point in a figure a specific number of degrees around a particular point.
90° clockwise rotation: (x,y) becomes (y,-x) 90° counterclockwise rotation: (x,y) becomes (-y,x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y) 270° clockwise rotation: (x,y) becomes (-y,x)When we rotate a point around the origin by 90° clockwise or anti-clockwise, (x,y) becomes (y,-x) .
- Then matrix of the rotation 90° is
[tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex]
We have the point U (-4, 7) and its image is
U' =[tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}-4\\7\end{array}\right][/tex]
U' = [tex]\left[\begin{array}{ccc}-7\\-4\end{array}\right][/tex]
and, point V is (5, 4) and its image is
V' = [tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}5\\4\end{array}\right][/tex]
V' = [tex]\left[\begin{array}{ccc}-4\\5\end{array}\right][/tex]
and, point W is (5, -5) and its image is
W' = [tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}5\\-5\end{array}\right][/tex]
W' = [tex]\left[\begin{array}{ccc}5\\5\end{array}\right][/tex]
So, The images of the points are U' (-7, -4), V' (-4, 5), W' (5, 5)
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Simplify fully125y2/10xy
Answers
Answer:
12.5y/x
Step-by-step explanation:
125y²/10xy = 12.5y/x
I f m<4=30 degrees, find m<3
Answers
m<3=60°
Answer:
m<4+m<3=90° each angle of rectangle is 90°
m<3=90-30=60°
i need help please this is quite hard for me