Answer:
a) 90th percentile
b) X = 51.43 ( Sophia's height ) , Amy's height = 50.92
c) 0.2394
d) 46.44 inches
Step-by-step explanation:
mean value( u ) = 47.7 inches
std ( σ )= 2.4 inches
Amy height = 1.34 std above mean value
Sophia height = 94th percentile of height distribution
A ) what percentile is Amy's height
To Calculate the percentile of Amy's height
P( X ≤ 50.916 ) = P( (X-µ)/σ ) ≤ (50.916-47.7) /2.4)
=P(Z ≤ 1.340 ) = 0.9099 = 90th percentile
B) How Amy's height compare to Sophia's
The proportion given based on Sophia's height = 0.94
z -value at the proportion ( 0.94 ) = 1.55 ( from excel )
note z-value can be calculated using = ( x - µ ) / σ
therefore: X (Sophia's height ) = zσ + µ= (1.55 * 2.4) + 47.7
X = 51.43 ( Sophia's height ) , Amy's height = 50.92
C) percentage expected to be taller than 49.4 inches
P ( X ≥ 49.40 ) = P( (X-µ)/σ) ≥ (49.4-47.7) / 2.4)
= P(Z ≥ 0.708 )
= P( Z < -0.708 )
= 0.2394
D) Below what height are the shortest 30% of 7-year old girls
( u ) = 47.7 inches
std ( σ )= 2.4 inches
given proportion = 30% = 0.3
The z value at 0.3 = -0.52 ( from excel )
to calculate for X ( height ) we have to apply the formula used to determine z value
z= (x-µ) /σ
hence : X = (Z * σ) + u = (-0.52 * 2.4 ) + 47.7
X = 46.44
below 46.44 inches lies about 30% of 7 year old girls height
please help me with this question
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Which of the following is a source of income?
A. Timeshare
B. Employment
C. House purchase
D. FICA
B.Employment...
Hope it helps..plz mark as brainlist..What is 5x + 3y ≥ 75 in slope intercept form?
Answer:
y >= 25 - 5x/3
Step-by-step explanation:
5x + 3y >= 75
-5x -5x
3y >= -5x + 75
3y/3 >= (-5x+75)/3
y >= 25 - 5x/3
how many solution does 2x – 1 = 1 – 2x have?
Answer:
1
Step-by-step explanation:
Hello,
2x – 1 = 1 – 2x
<=> 2x-1+2x=1
<=> 4x-1=1
<=> 4x = 1+1=2
<=> x = 2/4 = 1/2
Then there is only one solution.
Thanks
Answer:
one solution, x = 1/2
Step-by-step explanation:
2x -1 = 1 -2x
solve using inverse operations
2x -1 = 1 - 2x
+1 +1
2x = 2 -2x
+ 2x +2x
4x = 2
/4 /4
x = 1/2
hence this equation has one solution x = 1/2
A pizza shop charges $9 for a large cheese pizza. Additional toppings cost $1.25 per topping. Heather has$16.00 for her large pizza. How many toppings can she order?
Answer: Heather can order 5 toppings
Step-by-step explanation:
topping one: $10.25
topping two: $11.50
topping three: $12.75
topping four: $14.00
topping five: $15.25
If she gets any more toppings she won't have enough.
5 Toppings Total
The diference between
12•6 and a number
is 5•4. find two possible values for thenumber
Answer:
18, 7.4 (if its 12.6) and 52, 92 (if its 12x6)
Step-by-step explanation:
If y varies directly as x, and y is 400 when x is n and y is n when x is 4, what is the value of n?
Answer:
100
Step-by-step explanation:
4xy times 100n the variable of 4xy would be times in the related number of 100n to get the answer 400
Help URGENT!!!
You are buying new carpet for your bedroom. Your bedroom is 14 ft by 14 ft. You have $700
to spend on carpet. Carpet is sold in square feet (area). Write and solve an inequality that tells
you how much you can spend, per square foot, on carpet.
Given the points A(-1, 2) and B(7,6), find the coordinates of the point P on the
directed line segment that partitions in the ratio 1:3. Plot P along with
segment AB
ot
Answer:
plot ab is right just had the test
if f(x)=2x^2 +3x what is f(9)
Answer:
f(9) = 189
Step-by-step explanation:
Plug 9 into x
f(9) = 2(9)^2 + 3(9)
f(9) = 2(81) + 27
f(9) = 162 + 27
Thus, f(9) = 189
Answer:
189
Step-by-step explanation:
f(x) = 2x^2 + 3x , f(9)
f(9) = 2(9)^2 + 3(9)
= 2(81) + 27
= 162 + 27
= 189
Solve. 4x + 3 = 47
A. x = 11
B. x = 40
C. x = 44
D. x = 50
Solve. one-third x = 12
A. x = 4
B. x = 15
C. x = 36
D. x = 39
Solve. 3x + 3 = 21
A. x = 5
B. x = 6
C. x = 18
D. x = 36
Solve. Start Fraction 3 over 2 End Fraction x – 4 = 16
A. x = 20
B. x = 13 start fraction 1 over 3 end fraction
C. x = 15 start fraction 1 over 3 end fraction
D. 30
Use the given equation to find the solution to the following problem.
The equation 9.95 + 0.30s = c gives the cost c in dollars that a website charges for downloading songs. The variable s stands for the number of songs downloaded. Find the cost of downloading 35 songs.
A. c = $9.95
B. c = $20.45
C. c = $35.00
D. c = $114.45
Write an equation and solve to find the solution to the following problem.
You have $27 to spend at the mall and a coupon for $6 off at your favorite store. A t-shirt costs $11. How many t-shirts can you buy using your coupon and money?
A. 1 shirt
B. 2 shirts
C. 3 shirts
D. 4 shirts
$27.00-6.00=21.00
21.00-11.00=10.00
A
The value of 2.52 is 100. True False
Answer:
False
Step-by-step explanation:
Sorry if I’m wrong I tried my best
How much greater is the sum of the first 100 triangular numbers than the sum of the first 99 triangular numbers? Answer: It is bigger.
Answer:
First, a triangular number can be written as:
Tₙ = (n^2 + n)/2
where n is the number of our triangular number, n = 1 represents the first one, n = 2 represents the second one, etc.
The sum of the first 100 triangular numbers is:
S1 = (T₁ + T₂ + ... + T₉₉ + T₁₀₀)
The sum of the first 99 triangular numbers is:
S2 = (T₁ + T₂ + ... + T₉₉)
Then the difference will be:
D = S1 - S2 = (T₁ + T₂ + ... + T₉₉ + T₁₀₀) - (T₁ + T₂ + ... + T₉₉) = T₁₀₀
And we can find the value of T₁₀₀ if we use the equation for triangular numbers:
T₁₀₀ = (100^2 + 100)/2 = 5,050
Answer:
First of all I don't understand either, and I got it wrong.
Step-by-step explanation:
alias's hair grows at a rate of about 1/2 inch per month. how many months will it take her hair to grow 8 inches?
Answer:
16 months to grow hair to 8 inches
Answer:
16
Step-by-step explanation:
So we know that one month = [tex]\frac{1}{2}[/tex] inch.
As a result, two months = 1 inch.
Double that.
4 months = 2 inches
8 months = 4 inches.
16 months = 8 inches.
It's always a 2:1 ratio.
~theLocoCoco
In the equation y=3/2x-4what are the slope and y-intercept?
Answer:
Slope:
3/2
y-intercept:
(0,-4)
Step-by-step explanation:
The _____ is the part of a conditional statement that expresses the conditions that must be met by the statement.
Answer:
hypothesis
Step-by-step explanation:
Answer:
The hypothesis is the part of a conditional statement that expresses the conditions that must be met by the statement.
Step-by-step explanation:
Hope this helped you!
Please help! I'm timed!
the answer should be (3,2) since it's in the shaded region
Answer:3,2
Step-by-step explanation:it is on the line
Choose the two rectangular prisms that have a volume of 36 cm”.
= 1 cm3
A.
D.
B.
E.
C.
Answer:
B & D
Step-by-step explanation:
Volume is calculated as:
[tex]Volume = Length * Width * Height[/tex]
For (a):
[tex]Length = 3cm[/tex]
[tex]Width = 4cm[/tex]
[tex]Height = 5cm[/tex]
[tex]Volume = 3cm * 4cm * 5cm[/tex]
[tex]Volume = 60cm^3[/tex]
For (b):
[tex]Length = 3cm[/tex]
[tex]Width = 4cm[/tex]
[tex]Height = 3cm[/tex]
[tex]Volume = 3cm * 4cm * 3cm[/tex]
[tex]Volume = 36cm^3[/tex]
For (c):
[tex]Length = 4cm[/tex]
[tex]Width = 2cm[/tex]
[tex]Height = 2cm[/tex]
[tex]Volume = 4cm * 2cm * 2cm[/tex]
[tex]Volume = 16cm^3[/tex]
For (d):
[tex]Length = 2cm[/tex]
[tex]Width = 3cm[/tex]
[tex]Height = 6cm[/tex]
[tex]Volume = 2cm * 3cm * 6cm[/tex]
[tex]Volume = 36cm^3[/tex]
There's no need to check for (e)
Option b and d answers the question
Using the volume of a rectangular prism to examine the volumes of the prism, the two prisms with a volume of 36cm³ are B and D
Recall :
Volume of a rectanglular prism = Length × width × HeightPrism A :
Length = 3cm ; Height = 5cm ; Width = 4cmVolume = 3cm × 5cm × 4cm = 60 cm³
Prism B :
Length = 3cm ; Height = 3cm ; Width = 4cmVolume = 3cm × 3cm × 4cm = 36 cm³
Prism C :
Length = 4cm ; Height = 3cm ; Width = 2cmVolume = 4cm × 3cm × 2cm = 24 cm³
Prism D :
Length = 2cm ; Height = 6cm ; Width = 3cmVolume = 2cm × 6cm × 3cm = 36 cm³
Prism E :
Length = 3cm ; Height = 5cm ; Width = 4cmVolume = 4cm × 2cm × 2cm = 16 cm³
Hence, the two rectangular prisms with a volume of 36cm³ are B and D.
Learn more : https://brainly.com/question/25608731
Shen wants to earn more than $65 trimming trees. He charges $8 per hour and pays $7 in equipment fees. What are the possible numbers of hours Shen could trim trees?
Use t for the number of hours.
Write your answer as an inequality solved for t.
Please help ASAP 15 points
<a = 51 degree
<b = 129 degree
<c = 51 degree
<d = 129 degree
<e = 51 degree
<f = 129 degree
<g = 51 degree
<h = 129 degree
Yulia observed a sound wave moving through a solid medium at four different temperatures, and she recorded observations about each one in the chart. A 2-column table with 4 rows. The first column labeled Wave has entries W, X, Y, Z. The second column labeled Temperature (degrees Celsius) has entries 15, 33, 12, 2. Which correctly ranks, from fastest to slowest, the time it will take one wavelength to pass a certain point? Wave X → Wave Y → Wave W → Wave Z Wave Z → Wave W → Wave Y → Wave X Wave X → Wave W → Wave Y → Wave Z Wave Z → Wave Y → Wave W → Wave X
Answer: C. Wave X, Wave W, Wave Y, Wave Z.
The option that ranks the time it will take one wavelength to pass a certain point from fastest to slowest is Wave X → Wave W → Wave Y → Wave Z.
Why is this the correct order?The speed at which sound waves will pass through a medium depends on the temperature of that medium.
The higher the temperature of a medium, the faster sound waves will pass through. This is why Wave X will pass through the fastest at 33°C while Wave W will pass through the second fastest at 15°C and so on.
In conclusion, option C is correct.
Find out more on sound waves at https://brainly.com/question/15666150.
The owner of a food cart sells an average of 120 frozen treats per day during the summer which graph best shows this relationship between the number of days and the number of frozen treats sold
Answer:
here is one of the graphs search up dot t l 805 s the next is search up dot
Grapes are priced at $2.25 per pound. Which of the followi ill edit this comment later maybe search up the question u asked for a diffrent one
Step-by-step explanation:
The graph that best shows the relationship between the number of days and the number of frozen treats sold will be a straight line with slope of 120 and will pass through origin. the equation representing the scenerio would be y = 120x
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
Equation : y = Kx also represent constant proportionality.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
Given is the owner of a food cart sells an average of 120 frozen treats per day during the summer.
The given situation represents a direct proportionality between the number of frozen treats sold vs the number of days. The graph that best shows this relationship between the number of days and the number of frozen treats sold will be a straight line with slope of 120 and will pass through origin. Mathematically, the equation would be -
y = 120x
Therefore, the graph that best shows the relationship between the number of days and the number of frozen treats sold will be a straight line with slope of 120 and will pass through origin. the equation representing the scenerio would be y = 120x
To solve more questions on straight lines, visit the link below-
brainly.com/question/29030795
#SPJ6
Find the Value of x in each proportion
A) 1 meter/3.25 feet = 15.2 meters/x feet
B) 1.6 kilometers/1 mile = x kilometers/25 miles
C) 0.926 meter/1 yard = 200 meters/x yards
D) 1 kilometers/0.6 mile = x kilometers/350 miles
Answer:
A) 49.4
B) 40
C) 0.00539
D)583.33
Step-by-step explanation:
A)
1 meter/3.25 feet = 15.2 meters/x feet
x feet * 1 meter = 15.2 meters* 3.25 feet
x = 15.2 meters* 3.25 feet/1 feet* meter
x = 49.4
B) 1.6 kilometers/1 mile = x kilometers/25 miles
multiplying both sides by 25 miles
(1.6 kilometers/1 mile )* 25 miles =( x kilometers/25 miles) * 25 miles
=> 40 kilometers = x kilometers
x = 40
C) 0.926 meter/1 yard = 200 meters/x yards
dividing both sides 200 meters
0.926 meter/(1 yard*200 meters) = 200 meters/(x yards *200 meters)
185.2 /1 yard = 1/ x yards
x yards = 1 yards/185.2
=> x = 0.00539
D) 1 kilometers/0.6 mile = x kilometers/350 miles
multiplying both sides by 350 miles
(1 kilometers/0.6 mile ) 350 miles= (x kilometers/350 miles) 350 miles
=> 583.33 kilometers = x kilometers
x = 583.33
Simplify i^82 pls...thanks :)
I'LL GIVE 30 POINTS AND BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
-1
Step-by-step explanation:
I simplified the expression using the definition of an imaginary number i=√1
First I applied the exponent rule: [tex]a^{bc}=\left(a^b\right)^c[/tex]
[tex]i^{82} = \left(i^2\right)^{41}[/tex]
[tex]=\left(i^2\right)^{41}[/tex]
Then, I applied the maginary number rule: [tex]\:i^2=-1[/tex]
[tex]=\left(-1\right)^{41}[/tex]
Then I used the exponent rule again: [tex]\left(-a\right)^n=-a^n,\:\mathrm{if\:}n\mathrm{\:is\:odd}[/tex]
[tex]\left(-1\right)^{41}=-1^{41}[/tex]
[tex]=-1^{41}[/tex]
Sooo, [tex]1^{41}=1,[/tex] which equals =-1.
✨HELP PLZ ✨ You are planning on going swimming at the pool with some friends during the summer. You can buy a summer pass for $33 or you can pay $3 to get a daily pass. How many days do you have to go for the totals to be the same?
Answer:
You would have 11 days for both passes because 3 times 11=33 and 33 divided 3= 11.
Answer: 11 days
Step-by-step explanation: You would only be able to go for 11 days because 11 multiplied by 3 equals 33.
ASAP WORK PLZ Given the function f(x)=x^2+2x+1, find: f(1/4)
Step-by-step explanation:
[tex]f(1 \div 4) = {(1 \div 4)}^{2} + 2(1 \div 4) + 1 \\ = {625 \times 10}^{ - 4} + 0.5 + 1 \\ = 1.5 + 0.0625 \\ = 1.5625[/tex]
Answer:
25/16
Step-by-step explanation:
f(1/4) means that we're plugging in 1/4 for x in the given function.
Our function is:
f(x) = x² + 2x + 1
Plug 1/4 in for x:
f(1/4) = (1/4)² + 2 * (1/4) + 1 = 1/16 + 2/4 + 1 = 1/16 + 8/16 + 16/16 = 25/16
Thus, the answer is 25/16.
~ an aesthetics lover
Place parentheses in the expression so that it equals the given value 12 = 2 X 23; value: 120
I WILL GIVE YOU SO MANY POINTS IF YOU SOLVE THIS AND BRAINLIY PLEASEEEEE ASAPPPPPP USE THE LINK IN YOURE BROWSER AND SOLVE BY TYPING IT NEATLY YOU ARE SAVING A LIFE HERE THXXXX
Answer:
1.) Squares: 6 Circles: 8
2.) Hexagon and Heptagon and Octagon
3.) 18/100
4.) 16
5.) 56$
6.) Area = l × w
= 7 × 3
= 21 inches^2
Step-by-step explanation:
Can someone help me please
Answer:
tem
Step-by-step explanation:
3+1=10
Answer:
y = 4x - 5
Step-by-step explanation:
m (rise/run) = 4/1
b (y-intercept) = (0, -5)
3x+8=20. what steps can I take
Answer:
3x+8=20
Step-by-step explanation:
take 8 and minus 8 from both sides then divide 12 by 3x
Step-by-step explanation:
the eight will go another side 8 sign is + after going to another side it changes into minus