Answer:
The average value of a, b and c is [tex]\frac{2c}{3}[/tex]
Step-by-step explanation:
Average value:
Sum of all values by the number of values.
In this question:
3 values, a, b and c.
We have that:
[tex]A = \frac{a+b+c}{3}[/tex]
Since [tex]a+b = c[/tex]
[tex]A = \frac{a+b+c}{3} = \frac{c+c}{3} = \frac{2c}{3}[/tex]
The average value of a, b and c is [tex]\frac{2c}{3}[/tex]
a) American households spent an average of about $70 in 2007 on Halloween merchandise such as costumes, decorations and candy. To see if this number had changed, researchers conducted a new survey in 2008 before industry numbers were reported. The survey included 2100 households and found that average Halloween spending was $47 per household. The sample mean is dollars, while the claimed population mean is dollars. b) The average GPA of students in 2001 at a private university was 3.38. To assess whether this has changed over time, a survey on a sample of 190 students from this university was taken in the Spring 2020 semester. The survey yielded an average GPA of 3.75. The sample mean is and the claimed population mean is
Answer:
a) The sample mean is 47 dollars, while the claimed population mean is 70 dollars.
b) The sample mean is 3.75, while the claimed population mean is 3.48.
Step-by-step explanation:
Question a)
American households spent an average of about $70 in 2007 on Halloween merchandise such as costumes, decorations and candy means that the claimed population mean is 70 dollars.
The survey included 2100 households and found that average Halloween spending was $47 per household means that the sample mean is 47 dollars.
The sample mean is 47 dollars, while the claimed population mean is 70 dollars.
Question b)
The average GPA of students in 2001 at a private university was 3.38 means that the claimed population mean is 3.38.
The survey yielded an average GPA of 3.75 means that the sample mean is 3.75.
The sample mean is 3.75, while the claimed population mean is 3.48.
A farmer sells 8.9 kilograms of pears and apples at the farmer's market. 1 4 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer:
7.5 kilograms of apples
Step-by-step explanation:
Take the total amount and subtract the amount of pears.
8.9-1.4=7.5
Answer:
If 2/5 are apples, 2/5 x 8.9 kilos = 0.4 x 8.9 = 3.56 kilos of apples
pears = 8.9 - 3.56 = 5.34 kilos
if apples are 2/5, then pears are 3/5. 3/5 x 8.9 = .6 x 8.9 = 5.34 kilos of pears
Displayed is the ordered data of body temperatures, in degrees Fahrenheit, for 65 healthy adult women: 96.4, 96.7, 96.8, 97.2, 97.2, 97.4, 97.6, 97.7, 97.7, 97.8, 97.8, 97.8, 97.9, 97.9, 97.9, 98.0, 98.0, 98.0, 98.0, 98.0, 98.1, 98.2, 98.2, 98.2, 98.2, 98.2, 98.2, 98.3, 98.3, 98.3, 98.4, 98.4, 98.4, 98.4, 98.4, 98.5, 98.6, 98.6, 98.6, 98.6, 98.7, 98.7, 98.7, 98.7, 98.7, 98.7, 98.8, 98.8, 98.8, 98.8, 98.8, 98.8, 98.8, 98.9, 99.0, 99.0, 99.1, 99.1, 99.2, 99.2, 99.3, 99.4, 99.9, 100.0, 100.8
Which value would need to be exceeded for a data point to be considered an outlier when using the 1.5 X IQ R rule?
a. 99,8
b. 100.0
c. 99.6
d. 100.8
Answer:
54932540-476715.jpeg
A study of stroke patients who survived 6 months after the stroke found that 6/45 men and 22/63 women lived in an institution (e.g., nursing home or assisted living facility). What is the risk difference of living in an institution between men and women (using men as the reference group)?
Data (1=males, 2 =females)
temp sex Heart rate
96.3 1 70
96.7 1 71
96.9 1 74
97 1 80
97.1 1 73
97.1 1 75
97.1 1 82
97.2 1 64
97.3 1 69
97.4 1 70
97.4 1 68
97.4 1 72
97.4 1 78
97.5 1 70
97.5 1 75
97.6 1 74
97.6 1 69
97.6 1 73
97.7 1 77
97.8 1 58
97.8 1 73
97.8 1 65
97.8 1 74
97.9 1 76
97.9 1 72
98 1 78
98 1 71
98 1 74
98 1 67
98 1 64
98 1 78
98.1 1 73
98.1 1 67
98.2 1 66
98.2 1 64
98.2 1 71
98.2 1 72
98.3 1 86
98.3 1 72
98.4 1 68
98.4 1 70
98.4 1 82
98.4 1 84
98.5 1 68
98.5 1 71
98.6 2 77
98.6 1 78
98.6 1 83
98.6 2 66
98.6 1 70
98.6 1 82
98.7 2 73
98.7 1 78
98.8 1 78
98.8 1 81
98.8 2 78
98.9 1 80
99 2 75
99 2 79
99 1 81
99.1 1 71
99.2 1 83
99.3 1 63
99.4 1 70
99.5 1 75
96.4 2 69
96.7 2 62
96.8 1 75
97.2 1 66
97.2 2 68
97.4 2 57
97.6 1 61
97.7 2 84
97.7 1 61
97.8 2 77
97.8 2 62
97.8 2 71
97.9 1 68
97.9 2 69
97.9 2 79
98 2 76
98 1 87
98 2 78
98 2 73
98 2 89
98.1 2 81
98.2 2 73
98.2 2 64
98.2 2 65
98.2 2 73
98.2 2 69
98.2 2 57
98.3 2 79
98.3 2 78
98.3 2 80
98.4 2 79
98.4 2 81
98.4 2 73
98.4 2 74
98.4 2 84
98.5 2 83
98.6 2 82
98.6 2 85
98.6 2 86
98.6 2 77
98.7 2 72
98.7 2 79
98.7 2 59
98.7 2 64
98.7 2 65
98.7 2 82
98.8 2 64
98.8 2 70
98.8 2 83
98.8 2 89
98.8 2 69
98.8 2 73
98.8 2 84
98.9 2 76
99 2 79
99 2 81
99.1 2 80
99.1 2 74
99.2 2 77
99.2 2 66
99.3 2 68
99.4 2 77
99.9 2 79
100 2 78
100.8 2 77
Step-by-step explanation:
True or False: Slope is always rise over run.
Answer:
The formula for slope is sometimes referred to as "rise over run", because the fraction onsists of the "rise" (being the change in y, going up or down) divided by the "run" (being the change in x, going from left to the right).
Step-by-step explanation:
Answer:
Good sir/madam, in a fraction, it is always rise over run.
Suppose we want to choose 5 objects, without replacement, from 9 distinct objects. (a) How many ways can this be done, if the order of the choices is not taken into consideration? (b) How many ways can this be done, if the order of the choices is taken into consideration?
The number of ways if the order of the choices is not taken into consideration and taken into consideration will be 126 and 15,120, respectively.
What are permutation and combination?A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.
Suppose we want to choose 5 objects, without replacement, from 9 distinct objects.
Then the number of ways that this can be done, if the order of the choices is not taken into consideration will be given as,
⁹C₅ = 9! / [(9 - 5)! x 5!]
⁹C₅ = (9 x 8 x 7 x 6 x 5!) / (4 x 3 x 2 x 1 x 5!)
⁹C₅ = 126
Then the number of ways this can be done, if the order of the choices is taken into consideration will be given as,
⁹P₅ = 9! / [(9 - 5)!
⁹P₅ = (9 x 8 x 7 x 6 x 5 x 4!) / 4!
⁹P₅ = 15,120
The number of ways if the order of the choices is not taken into consideration and taken into consideration will be 126 and 15,120, respectively.
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
#SPJ2
-28 < 2x- 10 < -10
Please answer
Answer:
-9<x<0
Step-by-step explanation:
-28 < 2x- 10 < -10 and 2x- 10 < -10
Find the interval of ;
-28< 2x- 10
The interval for this equation is;
x>-9
Find the interval of;
2x-10<-10
The interval for this equation is;
x<0
Combine the intervals;
x>-9 and x<0
Merge overlapping Intervals;
-9<x<0
true or false 33 over 3 equals 11.3?
Answer:
fals it would be 11
Step-by-step explanation:
11 x 3 = 33
3 x 11 = 33
33 divide 11 = 3
33 divide 3 = 11
Answer:
I think it's true
Step-by-step explanation:
my answer also coming 33 l think so..
it's true
In ATUV, the measure of V=90°, TU = 24 feet, and VT = 15 feet. Find the measure
of U to the nearest degree.
Answer:39
Step-by-step explanation: yes
In a factory, a square sheet of metal has of a circle cut from it, as shown. The center of the circle is on one vertex of the square. What is the perimeter of the shaded region to the nearest hundredth?
Answer:
14.28 ft
Step-by-step explanation:
Perimeter of the shaded region = 2(side of the square) + ¼(circumference of circle)
Side of the square = 4 ft
Circumference of circle = 2πr
r = 4
Circumference = 2*π*4 = 25.1327412 ft
✔️Perimeter of the shaded region = 2(4) + ¼(25.1327412) = 14.2831853 ≈ 14.28 ft (nearest hundredth)
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
268
Step-by-step explanation:
Expand t (4t - 4 ) answer if you can plz
Answer:
42−4
Step-by-step explanation:
Answer:
4t^2 −4t
Step-by-step explanation:
t(4t−4)
Use the distributive property to multiply t by 4t−4.
4t^2 −4t
4/k = 6/11
solve for k
Answer:
k=7.3
Step-by-step explanation:
6k=44
k= 44÷6
k=7.3
How can you write and solve an addition or subtraction equation?
Answer:
What equation...................wait nvm
A garden has four sides that are all the same length. Each side measures x + 5 units. The garden’s perimeter is 144 units. What is the value of x?
Show your work for full points or brainlyest answer
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
4(X+5) = 144 (if on side measures (x+5) then P will be the 4 sides added
so adding the same value repeatedly means multiplication.
- Distribute: 4x + 20 = 144
- Inverse op. to isolate the variable minus 20 from both sides
- 4x = 124
- Divide by 4 on both sides
- 124/4 = 31
- x = 31 units
At the zoo it is important to keep a good balance of male and
female animals. If 2 of the panda bears are female and there are
a total of 4 panda bears, what fraction of all the panda bears are
female?
Answer:
The answer is: 2/4
Step-by-step explanation:
There are a total of 4 panda bears, which makes 2 males and 2 females.
By making a fraction, you can say there are 2 panda bears, out of four.
I WILL GIVE BRAINLYIST TO WHOEVER ANSWERS!!A toddler is playing with his toys in the bathtub. He is using a toy shaped like a rectangular prism, filling it with water to
the top, and filling his other toys to overflowing.
2 in.
Rectangular prism toy:
3 in.
5 in.
a. What is the volume of the rectangular prism toy?
in
b. What formula did you use to calculate your answer? V =
C. How many times will he need to fill the rectangular prism toy to overflow this cylindrical toy with a diameter of
5.2 inches and a height of 4 inches?
times
Answer:
A) 30 in³
B) V=lwh (or) V+5x3x2
C) 3 times
Step-by-step explanation:
A) 30in³
B) V=LWH (or) V+5x3x2
C) V=[tex]\pi[/tex]r²h = [tex]\pi[/tex](2.6²)(4) = 84.94867
85.94867÷30= 2.83, so he’d need to fill the rectangular prism 3 times.
Answer:
a. 30 in³
b. V = whl
c. 3 times
Step-by-step explanation:
a. v = whl
V = (3 in)(2 in)(5 in)
V= 30 in³
b. V = whl
c. Volume of the cylinder = pi(r²)h r = d/2 = 5.2 / 2 = 2.6
Vc = pi (2.6²)(4)
Vc ≈ 84.94 in³
84.94 in³/30 in³ ≈ 3 times
If an item is marked 15% off to a sale price of $12.75 ,What is the price of the item before the discount
Answer:
$85
Step-by-step explanation:
Divide 15% by $12.75
Change 15% into a decimal by multiplying it by 100
$12.75/0.15= $85
what is the remainder
PLS GIMME ANSWER OR IM FAILING THIS
Answer:
2/7
Step-by-step explanation:
-1 1/7 + 6/7 = -8/7 + 6/7 = 2/7
z=-5x(x-20) solve for x
Step-by-step explanation:
there is no solution
The question is : -8(5x-3)+2x
Answer:
-38 + 24
Step-by-step explanation:
-40x + 24 + 2x
= -38x + 24
How do you simplify the fraction 18/72
Answer:
1/4
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator GCD of 18 and 72 is 18
Divide both the numerator and denominator by the GCD 18 ÷ 18 / 72 ÷ 18
Reduced fraction: 1 / 4 Therefore, 18/72 simplified to lowest terms is 1/4.
Need help ASAP!!!!!
Answer:
cos 45 degree = A/H
cos 45 degree = 2 square root 2 / x
x = 2 square root 2 / cos 45 degree
x = 4
Sin 45 degree = O/H
Sin 45 degree = y/ 4
4 x Sin 45 degree = y
y = 2.83
or
we could use tan
tan 45 degree = O/A
tan 45 degree = y / 2 square root 2
2 square root 2 x tan 45 degree = y
y = 2.83
i hope this would elp a little bit.
First person to answer this gets BRAINLIEST!
(Look at the photo for the question)
Answer:
7 square miles
Step-by-step explanation:
Answer:
I think its the right shape being the trapezoid
Step-by-step explanation:
the triangle looks like a triangle but then the reason why I said I think it's the on the right is because the acute angle makes it look like a trapezoid but then on the other side it has a right angle but I think its the right side.
2
Solve for x. Round answer to the nearest tenth.
11
35
to
Answer:
x ≈ 18.3°
Step-by-step explanation:
Reference angle = x
Opposite side = 11
Hypotenuse = 35
Apply SOH:
Sin x = opp/hyp
Sin x = 11/35
[tex] x = sin^{-1}(\frac{11}{35}) [/tex]
x ≈ 18.3°
1
8 million tonnes of fish were caught in the North sea in 2005, if the catch is reduced by 20% each year for four years, what amount can be caught at the end of this time
Answer:
At the end of that period, 3,276,800 tonnes of fish could be caught in the North Sea.
Step-by-step explanation:
Given that 8 million tonnes of fish were caught in the North sea in 2005, if the catch is reduced by 20% each year for four years, to determine what amount can be caught at the end of this time the following calculation must be performed :
100 - 20 = 80
Year 0 = 8 million
Year 1 = 8 x 0.8 = 6.4 million
Year 2 = 6.4 x 0.8 = 5.12 million
Year 3 = 5.12 x 0.8 = 4,096 million
Year 4 = 4.096 x 0.8 = 3.2768 million
Thus, at the end of that period, 3,276,800 tonnes of fish could be caught in the North Sea.
Which inequality has -12 in its solution set?
А
B
С
D
X+6 <-8
X+42-6
X-3 >-10
X+ 55-4
ILL MARK BRAINIEST
Answer:
D
Step-by-step explanation:
Find the values of x and y.
x+x+90=180
x+x+90=1802x+90=180
x+x+90=1802x+90=1802x=180-90
x+x+90=1802x+90=1802x=180-902x=90
x+x+90=1802x+90=1802x=180-902x=902x/2x =90/2
x=45
9y+9y+90=180
18y+90=180
18y=180-90
18y=90
18y/18 =90/18
y=5
A cone has a radius of 6.2 mm and a height of 10.8 mm. What is the volume of the cone to the nearest tenth? use π = 3.14
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the volumes.
Here given as, r= 6.2 mm, h = 10.8 mm, π=3.14
hence, the volume of the cone is
Volume = 1/3(πr^2h)
===> vol = 1/3(3.14*(6.2)^2*(10.8))
==> Vol = 1/3*(1303.57)
==> Vol = 434.52 mm^3
Hence the volume of the cone is 434.52 mm^3
I am down help please
Answer:
180 degrees
Step-by-step explanation:
angle 1 = 90 degrees
angle 4 = angle 1 because they are vertical angles
360 - 90 - 90 = 180 degrees