The normal distribution is also known as the Gaussian distribution. The mean of this test is 37.
What is Normal Distribution?The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.
On a test that has a normal distribution, a score of 29 falls two standard deviations below the mean, and a score of 49 falls three standard deviations above the mean. Therefore, we can write,
μ - 2σ = 29
μ + 3σ = 49
By subtracting the first equation from the second, then we will get,
μ + 3σ - μ + 2σ = 49-29
5σ = 20
σ = 4
Now, substitute the value of σ in the equation,
μ - 2σ = 29
μ - 2(4) = 29
μ = 29 + 8
μ = 37
Hence, the mean of this test is 37.
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What type of sampling is described in this study?
A company that sells hair-care products wants to
determine if a product that combines shampoo and
conditioner works better than a shampoo and
conditioner used separately. A researcher recruits 60
volunteers and pairs them according to age, hair color,
and hair type. For each pair, the researcher flips a coin
to determine which volunteers will use the
shampoo/conditioner combination and which ones will
use the separate shampoo and conditioner. After using
the products for one month, the subjects are asked to
rate their satisfaction with the hair products on a scale
of 1-10 (1 = highly dissatisfied and 10 = highly
satisfied). What type of sampling is described in this study?
one sample
paired data
two samples
more than two samples
The sampling type in this study, where a researcher recruits 60 paired volunteers and asks them to rate their satisfaction after product use, is B. paired data.
What is a paired data test?A paired data test or sampling is used when the researcher is interested in the difference between two variables for the same subject.
For instance, in this experiment, the researcher wants to find the satisfaction level of the volunteers who used the shampoo and conditioner separately or combined.
Thus, the sampling type in this study, where a researcher recruits 60 paired volunteers and asks them to rate their satisfaction after product use, is B. paired data.
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I'LL GIVE BRANLY!!!!!
How many 3-coin combinations exist if we can choose from nickels, dimes, quarters, and half-dollars?
20
4!
4
12
Answer:
12
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
If the order matters, we can use the product rule to show each of the [tex]20[/tex] coins can be chosen in [tex]5[/tex] ways, for a total of [tex]5^{20[/tex] ways, assuming you have enough of each type of coins.
If the order does not matter (which in the case it probably does not) you have to use an r-combination. The formula is[tex]C(n+r-1,r)[/tex]. Here [tex]n=5[/tex] and [tex]r=20[/tex]. So we get [tex]C(24,20)[/tex].
what interest rate do you need for an $5000 investment compounded annually to double in 10 years?
What interest rate do you need to double your money in 10 years?
R = 72/t = 72/10 = 7.2% Example Calculation in Months If you invest a sum of money at 0.5% interest per month, how long will it take you to double your investment? t=72/R = 72/0.5 = 144 months (since R is a monthly rate the answer is in months rather than years)
Therefore, since R is a monthly rate the answer is in months rather than years, the interest rate that you need for an $5000 investment compounded annually to double in 10 years is 7.2%
A____________ is sometimes a rhombus
A. Triangle
B. Square
C. Rectangle
D. Trapezoid
Answer:
C (Square)
Step-by-step explanation:
Squares are quadrilaterals with 4 congruent sides. Since rhombuses are quadrilaterals with 4 congruent sides, squares are by definition also rhombuses.
Write an equation of the circle with center (-3, 2) and diameter 12.
Answer:
i d k the answer soory about that
Step-by-step explanation:
just for points
Simplify sqrt{5-n}^2 if n<5
The expression √(5 - n)² is a rational expression, and the simplified expression of √(5 - n)² is 5 - n
How to simplify the expression?The expression is given as:
√(5 - n)²
Where n < 5
The inequality n < 5 has no effect on the expression.
So, we have:
√(5 - n)² = 5 - n
Hence, the simplified expression of √(5 - n)² is 5 - n
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Last week, Emma painted her fence. She used 6 cans of paint. There were 4 liters of paint in each can.
Answer:
I'm guessing you want how many liters of paint she used?
she used 24 liters of paint to paint her fence.
Step-by-step explanation:
theres 6 cans
4 liters in each can
6×4=24
Define bisect and midpoint. Using constructions, draw and label an angle bisector and a perpendicular bisector. Show segment addition postulate and angle addition postulate with examples of solving for a variables
Bisect is a word that means to divide a thing, line or a circle into two parts. While midpoint is known as the middle point that exist in a line segment.
What is Angle addition postulate?This theory states that if two angles are said to be put beside each other, the resulting angle is said to be equal in terms of the sum of the two real angle measures.
Note therefore, that that Bisect is a word that means to divide a thing, line or a circle into two parts. While midpoint is known as the middle point that exist in a line segment.
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Need some help! Please be specific.
Write a system of equations to represent the following word problem:
ASB sold 340 raffle tickets. Advanced tickets cost $2 each and same-day tickets cost $3 each. If a total of $810 was collected, how many of each type of ticket was sold?
Answer: 210 advanced tickets were sold. 130 same day tickets were sold.
Step-by-step explanation:
x= advanced tickets y=same day tickets
2x+3y=810 this equation represents the money
x+y=340 this equation represents the total number of tickets
x+y=340
-x -x
y=-340-x 2x+3(340-x)=810 210+y=340
2x+1020-3x=810 -210 -210
-x+1020=810 y=130
-1020 -1020
-x=-210
-1 -1
x=210
Find the volume of the rectangular prism. WA 3yd 3 yd 4 yd
WHAT IS THE LENGTH!!!
the area is 107.95
the base is 12
the height is 12.7
the length is x
The figure is a trapezoid (or trapezium), and the exact length of the trapezoid is 5 units
How to determine the length?The figure is a trapezoid with the following parameters:
Area = 107.95
Base= 12
Height = 12.7
Length = x
The area of a trapezoid is:
Area = 0.5 * (Base + Length) * Height
So, we have:
0.5 * (12 + Length) * 12.7 = 107.95
Evaluate the product
(12 + Length) * 6.35 = 107.95
Divide both sides by 6.35
12 + Length = 17
Subtract 12 from both sides
Length = 5
Hence, the length of the trapezoid is 5 units
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Express the area A of a circle as a function of its circumference C. (A = πr² and C = 2πr)
AnswerI dont know
Step-by-step explanation:
how do you expect me to k
line pass through the line (-3, -7.5)tahila determined that the equation of line n is y=0.5x explain the error tahila made while dterming her equation and include the correct equation in your answer
The equation of the line will be (assuming the y-intercept equal to zero):
y = 2.5*x
What is Tahila's mistake?
We know that we have a linear equation of the form:
y = a*x + b
Such that we know that the line passes through (-3, -7.5), notice that the proposed equation is:
y = 0.5*x
If you evaluate that in -3, you get:
y = 0.5*-3 = -1.5
So this line does not pass through (-3, -7.5).
If we assume that b = 0 in the linear equation, then we can find the value of a as:
-7.5 = a*-3
a = 7.5/3 = 2.5
Then the linear equation is:
y = 2.5*x
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Actually 100 points check for yourself (Easiest 100 points) Match each ordered pair on the left with the functions on the right.
Answer:
(-4, 40) y = -9x + 4
(8, 50) y = 6x + 2
(9, -36) y = -3x - 9
(5, 38) y = 8x - 2
Do you want an explanation?
#1
y=-9x+4Put (-4,40)
40=-9(-4)+440=40Verified
#2
y=-3x-9put (9,-36)
-36=-3(9)-9-36=-36Verified
#3
y=8x-2Put (5,38)
38=8(5)-238=38Verified
#4
y=6x+2Put (8,50)
50=6(8)+250=50Hence verifiedl
A line contains the following points left to right: r, t, u, s. the space between r and t is 12 units. the space between r and s is 24 units. if tu = 6 units, what must be true? su ut = rt rt tu = rs rs su = ru tu us = rs
Given thet SU = UT = 6 units, hence 6 + 6 = 12 showing that the expression SU + UT = RT is TRUE. Option A is correct
Measure of line segmentsA line is defined as the distance between two points
From the given line, RT = TU = 12 unitsSince the point T bisects RT and TU = 6 units, hence the point U bisects TS.
The sum of the segment SU and UT will be RT
SU + UT = RTGiven that SU = UT = 6 units, hence 6 + 6 = 12 showing that the expression SU + UT = RT is TRUE
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Find the gradients of lines A and B
A right prism has a rectangular base. The length is 5ft, width is 2ft, and its height is 10ft.
What is the volume of the prism?
ft³
If the dimensions of the prism are doubled the surface area of the enlarged prism is 640 cm²
Surface area of a rectangular prism:Area = 2lw + 2lh + 2whwhere
h = height
l = length
w = width
Therefore, if the dimension of the prism are doubled the new dimension will be as follows:
l = 5(2) = 10 cm
w = 2(2) = 4 cm
h = 10(2) = 20 cm
Therefore,
surface area = 2(10 × 4) + 2(10 × 20) + 2(20 × 4)
surface area = 2(40) + 2(200) + 2(80)
surface area = 80 + 400 + 160
surface area = 640 cm²
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Volume
LBH5(2)(10)10²100ft³Which graph represents the solution of (y+2)²/4 + (x-3)²/9 <1 and y ≤√x-1-4?
Answer:
y²+x-7=-x+37
Step-by-step explanation:
im a pickle morty its the funniest thing ive ever experienced
Answer:
A
Step-by-step explanation:
which is bigger -32 or 13.8?
Tiana has $70 in an account. The interest rate is 5% compounded annually.
To the nearest cent, how much will she have in 1 year?
Answer:
73 dollars and 50 cents
Step-by-step explanation:
Initial Deposit:
70
Years to Save:
1
Estimated Rate of Return
5
Compound Frequency:
Annually
Earned Interest
$3.50
Total Balance
$73.50
Hope this helps!
Answer:
73.50
Step-by-step explanation:
math
** BRAINLIEST!! **
A triangle has one side that is 4 centimeters long and
one that is 9 centimeters long.
The third side is a whole number of centimeters.
What is the LONGEST possible third side?
( these are the incorrect answers
35 and 9 )
we have three sides, let's look at the two smaller sides first.
check the picture below atop
if we move the sides closer and ever closer to each other, to the extent that one is right on top of the other, what is the length of the red side? Well, assuming the two smaller sides are one pancaked on top of the other, the red side will be as long as 9 - 4 = 5. However, the sides can't be on top of each other, because if that's so, we have a flat-line, and thus we wouldn't have a triangle. So whatever the third side may be, it must be greater than 5.
check the picture below at the bottom
Now, if we move the sides away from each other, farther and farther to the extent that one is parallel to the other, then the third side will just be as long as 4 + 9 = 13. However, we can't do that, because if that were to happen, we again will have a flat-line and not a triangle. So whatever the third side may be, it must be less than 13.
A cube has a surface area of 486 inches square. Can the length of each side of the cube be 11 inches? Explain
Answer:
The volume of cube whose total surface area is 486 cm² is 729 cm³
Step-by-step explanation:
714 divided by 7
this will really help me!
(im bad at division)
Answer:
102
Step-by-step explanation:
So 714 divided by 7 = 102
A sequence starts with: 25 20 15 10... what is the term-to-term rule of the sequence?
After stepping into a room with unusual lighting, Reagan's pupil has a radius of 1 millimeter. What is the pupil's area?
Use 3.14 for .
At Super Shopper a 1-litre bottle of cola costs £0.85.
At Rex Retail a 1.5-litre bottle costs £1.30.
At which shop is cola better value for money?
Answer:
super shopper
Step-by-step explanation:
o.85/2=0.425
0.425*3=1.275
The function f(x)= x3 - 10x² + 29x-20 is graphed below. Over which interval
is the rate of change negative?
Answer:
2.2 ≤ x ≤ 4.5
Step-by-step explanation:
The rate of change simply is asking when the gradient is negative and since a graph is provided you can tell where the line is declining which is in between 2.2 and 4.5. Without a graph, you can use the derivative to find out the negative rate of change of a cubic instead.
you need to reflection it over the y - axis , please help
Answer:
y axis please set in star then I will tell
Answer:
a'= (10,-9) b'= (9,0) c'= (1,0) d'= (10,-1)
Step-by-step explanation:
whenever you reflect over the y you change the x
In a group of 30 high school students, 15 play football, 19 play basketball and 6
do not play either sport. DRAW a Venn Diagram in the space below to DETERMINE
how many students play basketball but not football.
Answer:
Hope the picture will help you........
Work out length of BC
Answer:
assume [tex]13 = z \\ 8 =x \\ bc = y[/tex]
by phytagorean theorem
[tex]{y}^{2} + {x}^{2} = z^{2} [/tex]
so
[tex]bc = y = \sqrt{ {z}^{2} - {x}^{2} } = \sqrt{169 - 64} = \sqrt{105} [/tex]
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex] \large\underline{ \boxed{ \sf{✰\:Note }}}[/tex]
★ 1st let's know what is the given figure is and it's related concepts for solving !
➣ Given Triangle is a right angled triangle ➣ It is having 3sides let's know what are the name of these sides ➣ 1st AB is know as hypotenuse➣ 2nd AC and is called Base of the triangle➣ 3rd BC whích is know as perpendicular of the triangle➣ Hypotenuse(H):-The side of a right triangle opposite the right angle.➣ Perpendicular(P):- Exactly upright; extending in a straight line. ➣ Base(B):- it also known as the side opposite to hypotenuse➣Perpendicular and base are know as the leg of right angled triangle➣ We can easily find length of one missing side by using a theorem name as "Pythagorean theorem"➣ Pythagorean theorem :- A mathematical theorem which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of those of the two other sides★ Note :- The Pythagorean theorem only applies to right triangles.[tex] \rule{70mm}{2.9pt}[/tex]
★ Writing this theorem mathematically ★
[tex] { \boxed{✫\underline{ \boxed{ \sf{Pythagorean \: theorem \: ⇒ {Hypotenuse }^2={ Base }^2+ {Height }^2}}}✫}}[/tex]
★ Here ★
➣ Base (AC)= 8cm➣ Hypotenuse (BA)= 13cm[tex] \rule{70mm}{2.9pt}[/tex]
✝ Assumption ✝➣ let perpendicular/length ( BC ) = "x"[tex] \boxed{ \rm{ \pink ➛BA^2= AC^2+BC^2}}[/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
✝ let's substitute values ✝[tex]\rm{ \pink ➛13^2= 8^2+x^2} \\ \rm{ \pink ➛169 = 64 + {x}^{2} } \\ \rm{ \pink ➛169 - 64 = {x}^{2} } \\ \rm{ \pink ➛105 = {x}^{2}} \\ \rm{ \pink ➛ \sqrt{105} \: or \: 10.2469 = x} \\ [/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
Hence length (BC) in the given triangle is of
[tex] { \boxed{✛\underline{ \boxed{ \sf{\sqrt{105} cm\: or \: 10.2469cm\green✓}}}✛}}[/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
Hope it helps !