Answer:
Pvalue = 0.020335
X² = 14.99
CONCLUSION: THERE IS DIFFERENCE IN MARKET SHARES
Step-by-step explanation:
H0 : there is no difference in market shares
H1: there is difference in market shares
Chisquare (X²) = (observed - Expected)²/ expected
Honda Civic - 0.20 * 400 = 80 : (98-80)^2 /80 = 4.05
Toyota Corolla - 0.17 * 400 = 68 : (72-68)²/68 = 0.235
Nissan Sentra - 0.12 * 400 = 48 : (54-48)²/48 = 0.75
Hyundai Elantra - 0.10 *400 = 40 : (44-40)²/40 = 0.4
Chevrolet Cruze - 0.10 * 400 = 40 : (42-40)²/40 = 0.1
Ford Focus - 0.08 * 400 = 32 : (25-32)²/32 = 1.531
Others - 0.23 * 400 = 92 : (65-92)²/92 = 7.924
X² = (4.05+0.235+0.75+0.4+0.1+1.531+7.924) = 14.99
The obtain the Pvalue ;
We use the Pvalue from Chisquare calculator :
Pvalue(14.99, 0.05, df= 6) = 0.020335
Decision region :
Reject H0 ; if Pvalue < α
THERE IS DIFFERENCE IN MARKET SHARES
Market share differences:
* 98/400 = 0.245,
0.245-0.20 = 0.045
* 72/400 = 0.18,
0.18 - 0.17 = 0.01
* 54/400 = 0.135,
0.135 - 0.12 = 0.015
* 44/400 = 0.11,
0.11 - 0.10 = 0.01
* 42/400 = 0.105
0.105 - 0.10 = 0.005
* 25/400 = 0.0625
0.0625-0.08 = -0.0175
* 65/400 = 0.1625
0.1625 - 0.23 = -0.0675
I have $8$ pieces of strawberry candy (all identical) and $7$ pieces of rhubarb candy (all identical). Find the number of ways I can distribute this candy to $5$ children.
This is a math question,
Please Solve Correctly.
Given:
Number of strawberry candy = [tex]\bold{8\ pieces}[/tex]
Number of rhubarb candy = [tex]\bold{7 \ pieces}[/tex]
Find the number of ways for equally distributing candy to all 5 children
Using formula:
[tex]\to \bold{_{n} C_{r}=\frac{n !}{r!(n-r) !}}[/tex]
Calculating the distributing way for strawberry candy:
[tex]\to \bold{_{8} C_{5}=\frac{8 !}{5!(8-5) !}}[/tex]
[tex]\bold{=\frac{8 !}{5! \ 3 !}}\\\\\bold{=\frac{8 \times 7 \times 6 \times 5!}{5! \ 3 \times 2\times 1}}\\\\\bold{=\frac{8 \times 7 \times 6 }{ 6}}\\\\\bold{=8 \times 7}\\\\\bold{=56}[/tex]
Calculating the distributing way for rhubarb candy:
[tex]\to \bold{_{7} C_{5}=\frac{7 !}{5!(7-5) !}}[/tex]
[tex]\bold{=\frac{7 !}{5! \ 2 !}}\\\\\bold{=\frac{7 \times 6 \times 5!}{5! \ 2\times 1}}\\\\\bold{=\frac{ 7 \times 6 }{ 2}}\\\\\bold{=7 \times 3}\\\\\bold{=21}[/tex]
Adding both distributing ways:
[tex]\to \bold{56+21=77}[/tex] ways
Learn more:
probability: brainly.com/question/23044118
Isaiah decided to build a fence around his property. He lives on a rectangular lot 70 feet long and 50 feet wide. How many feet of fence does he need to buy?
Answer:250 feet
Step-by-step explanation: a rectangle has four sides, now you have two numbers, 70 and 50. so you do 4÷2 = 2 now take 2 a multiply it 70(140) now do it with 50(100) now add em (250) it is how i do it
Darren had 20 minutes to do a three-problem quiz. He spent 11
7
10
minutes on question A and 4
2
5
minutes on question B. How much time did he have left for question C?
Answer:
He had 5 minutes left for question C.
Step-by-step explanation:
20 minutes to do the quiz.
He spent:
11 minutes on question A
4 minutes of question B.
So, for the first 2 questions, he used 15 minutes.
How much time did he have left for question C?
Total of 20 minutes, in the first two questions he used 15. So
20 - 15 = 5
He had 5 minutes left for question C.
Fine the slope of the line through (20, -8), (9, -8)
Answer: The slope is 0
please help me i really need help please
Answer:
d
Step-by-step explanation:
can some pals help me
Answer:
1/8th of a foot
Step-by-step explanation:
All you have to do is divide the 5 feet by how ever many sections there are in this case it's 8.
5 / 8 = 0.625 = 1/8
LAST ONE PLEASE :) thank you thank you
Answer:
163 I would think
Step-by-step explanation:
100 POINTS!!!!!
Two cylinders are similar with diameters 6 in and 9 in.
a. Find the ratio of the circumference of their bases
b. Find the ratio of the surface areas.
c. Find the ratio of the volumes.
Answer:
a. Ratio of their circumference = 2:3
b. The ratio of their surface areas = 2:3
c. The ratio of their volume = 4:9
Step-by-step explanation:
Let the cylinders be labelled as A and B respectively.
Diameter of cylinder A = 6 in,
its radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{6}{2}[/tex] = 3 in
Diameter of cylinder B = 9 in,
its radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{9}{2}[/tex] = 4.5 in
Thus,
a. circumference of a circle = 2[tex]\pi[/tex]r
Circumference of cylinder A = 2[tex]\pi[/tex]r
= 2 x [tex]\pi[/tex] x 3
= 6[tex]\pi[/tex] in
Circumference of cylinder B = 2[tex]\pi[/tex]r
= 2 x [tex]\pi[/tex] x 4.5
= 9[tex]\pi[/tex]
Ratio of their circumference = [tex]\frac{circumference of cylinder A}{circumference of cylinder B}[/tex]
= [tex]\frac{6\pi }{9\pi }[/tex]
= 2:3
b. The surface area of a cylinder = 2[tex]\pi[/tex]rh
the surface area of cylinder A = 2[tex]\pi[/tex]rh
= 6[tex]\pi[/tex]h
the surface area of cylinder B = 2[tex]\pi[/tex]rh
= 9[tex]\pi[/tex]h
The ratio of their surface areas = [tex]\frac{surface area of cylinder A}{surface area of cylinder B}[/tex]
= [tex]\frac{6\pi h}{9\pi h}[/tex]
= 2:3
c. Volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
volume of cylinder A = [tex]\pi[/tex][tex]r^{2}[/tex]h
= [tex]\pi[/tex] x [tex]3^{2}[/tex] x h
= 9[tex]\pi[/tex]h
volume of cylinder b = [tex]\pi[/tex][tex]r^{2}[/tex]h
= [tex]\pi[/tex] x [tex]4.5^{2}[/tex] x h
= 20.25[tex]\pi[/tex]h
The ratio of their volume = [tex]\frac{volume of cylinder A}{volume of cylinder B}[/tex]
= [tex]\frac{9\pi h}{20.25\pi h}[/tex]
= 4:9
d=6in,9in
r=3in,4.5in
circumference:-
[tex]\\ \sf\longmapsto \dfrac{2\pi r_1}{2\pi r_2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{6\pi}{9\pi}[/tex]
[tex]\\ \sf\longmapsto \dfrac{2}{3}[/tex]
[tex]\\ \sf\longmapsto 2:3[/tex]
LSA:-
[tex]\\ \sf\longmapsto \dfrac{2\pi r_1h}{2\pi r_2h}[/tex]
[tex]\\ \sf\longmapsto \dfrac{6}{9}[/tex]
[tex]\\ \sf\longmapsto \dfrac{2}{3}[/tex]
[tex]\\ \sf\longmapsto 2:3[/tex]
TSA
[tex]\\ \sf\longmapsto \dfrac{2\pi r_1(h+r_1)}{2\pi r_2(h+r_2)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{6(h+6)}{9(h+9)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{6h+36}{9h+81}[/tex]
[tex]\\ \sf\longmapsto \dfrac{h(6+36)}{h(9+81)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{42}{90}[/tex]
[tex]\\ \sf\longmapsto \dfrac{7}{15}[/tex]
[tex]\\ \sf\longmapsto 7:15[/tex]
Volume:-
[tex]\\ \sf\longmapsto \dfrac{\pi r_1^2h}{\pi r_2^2h}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3^2}{4.5^2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{9}{20.25}[/tex]
[tex]\\ \sf\longmapsto 4:9[/tex]
a group of preschoolers has 31 boys and 37 girls. What is the ratio of girls to boys
Answer:
37:31 or any other way of writing 37 to 31
Step-by-step explanation:
Write the ratio the same way the question asks, there are 37 girls and 31 boys. This cannot be simplified.
What is the point-slope form of a line with slope 3/2 that contains the point
(-1, 2)?
Answer:
A. (y - 2) = 3/2 ( x + 1)
Explanation:
The point-slope formula is ( y - y1) = m ( x - x1). Just distribute the given where m is 3/2, x1 = - 1 and y1 = 2.
How many moles are in 9.03 x 1023 Li atoms?
please help me
Answer:
1.5 moles
Step-by-step explanation:
number of moles = no. of particles / Avagadro number
therefore, number of moles. = 9.033 * 10^23 / 6.022 * 10^23
therefore, no. of moles = 1.5
There are 1.5 moles in 9.033 * 10^23 Lithium atoms.
3. If a week is 7 days, what fraction of a week is 2 days?
please help me!! thank youu!!!
Answer:
24
Step-by-step explanation:
Area of a triangle
A = 1/2 bh
b=12
h=4
A= 1/2 * 12 * 4
A = 24
PLEASE HEELP IM GIVING BRAINLIEST TO THE FIRST CORRECT ANSWER!!!
What is an equation of the line that passes through the point (3.-1) and has a slope of 2?
y = 2x + 5
y = 2x -1
y = 2x-4
y= 2x -7
Answer:
y = 2x - 1
Step-by-step explanation:
-1 is the y-intersect of the slope
Helen makes 6 friendship bracelets . She gave 1/3 of the bracelets to sami which expression can i use
Answer:
6 x 1/3 = 2
Step-by-step explanation:
The straight-line distance between the points is ___ units, rounded to the nearest tenth.
Answer:
The straight-line distance between the points is approximately 8.6.
Step-by-step explanation:
The straight-line distance ([tex]d[/tex]) between the points is determined by the following Pythagorean identity:
[tex]d = \sqrt{x^{2}+y^{2}}[/tex] (1)
Where:
[tex]x[/tex] - Horizontal distance between the points.
[tex]y[/tex] - Vertical distance between the points.
Let consider that each square has a distance of 1 unit. If we know that [tex]x = 5[/tex] and [tex]y = -7[/tex], then the straight-line distance is:
[tex]d = \sqrt{5^{2}+(-7)^{2}}[/tex]
[tex]d \approx 8.6[/tex]
The straight-line distance between the points is approximately 8.6.
If anyone could help with this
Simplify the sum. (8u^3+8u^2+6)+(4u^3-6u+3)
Answer:
[tex]\boxed{12u^3+8u^2-6u+9}[/tex]
Step-by-step explanation:
[tex](8u^3+8u^2+6)+(4u^3-6u+3) = 8u^3+8u^2+6+4u^3-6u+3[/tex]
Once
[tex]8x+4x = 12x, \text{ as } x = u^3[/tex]
[tex]8u^3+8u^2+6+4u^3-6u+3 = 12u^3+8u^2+6-6u+3 = \boxed{12u^3+8u^2-6u+9}[/tex]
You don't need to factor.
In a room at a museum, we want to tile the floor. If the floor measures 15 feet by 55 feet, what is the largest-size square tile that we can use to tile the floor without having to cut tiles?
A) 11 ft by 11 ft
B) 5 ft by 11 ft
C) 5 ft by 3 ft
D) 3 ft by 3 ft
E) 11 ft by 3 ft
F) 5 ft by 5 ft
Answer:
B. 5 foot by 11 foot
the numbers have to be divisible in both directions.
11x11 doesn't work, because at 15 feet wide one tile isn't wide enough, and 2 is too wide.
5x11 works- 3x5= 15 and 11x5=55. you'd use 15 tiles.
the rest are all smaller.
What is the Median of this data set: 6, 10, 12, 5, 16, 11.
Answer: 10.5
Step-by-step explanation:
The median is the middle number in a data set, so in this set 5,6,10,11,12,16
the mean of 10 and 11 would be the median.
PLEASE HELP!!!! The problem is in the photo below
Answer:
105m by 105m
Step-by-step explanation:
multiply 7 x 15 to get 105.
Hope it helps!!! :)))
PLEASE HELP DUE TODAYYYY ..100 PTS!
Answer:
i got 65.8/9. i hope this is correct , if not, i wish you the besy<3
Answer:
62.7
Step-by-step explanation:
Help me answer this for brainliest
Answer:
question 1(2)
answer 4
question 2(3)
answer 1
question 3(4)
(a)6; factored
(b)7; factored
c(8); factored
Assume that when adults with smartphones are randomly selected, 64% use them in meetings or classes. If 5 adult smartphone users are randomly selected, find the probability that exactly 3 of them use their smartphones in meetings or classes. The probability is (Round to four decimal places as needed.)
Answer:
[tex]P(3) = 0.3397[/tex]
Step-by-step explanation:
The given details represent binomial distribution. So, we have:
[tex]n = 5[/tex]
[tex]p = 64\% = 0.64[/tex]
Required
Calculate P(3)
This is calculated using:
[tex]P(x) = ^nC_x * p^x * (1- p)^{n-x}[/tex]
This gives:
[tex]P(3) = ^5C_3 * 0.64^3 * (1- 0.64)^{5-3}[/tex]
[tex]P(3) = 10 * 0.64^3 * 0.36^2[/tex]
[tex]P(3) = 0.3397[/tex]
Dr. Toliver has 6 fossils.
Dr. Cook has 5 times as many fossils as Dr. Maranan.
They have 90 fossils altogether. How many fossils does Dr. Maranan have?
Copyright 2020 Edmentum, Inc. All Rights Reserved
(hp
Answer:
dude 30 fossils are left
Step-by-step explanation:
Which graph shows that y varies directly as x?
Answer:
Step-by-step explanation:
Which expression is equivalent to tan(x – pi)?
Answer:
it's b
Step-by-step explanation:
correct on edge!
The equivalent expression is tanx.
We have given that,
tan(x – pi)
We have to determine the expression equivalent to the given expression
What is the tan ratio?tan(x)=sinx/cosx
[tex]=\frac{\sin \left(x\right)}{\cos \left(x\right)}[/tex]
[tex]=\tan \left(x\right)[/tex]
Therefore the equivalent expression is tanx.
To learn more about the equivalent expression visit:
https://brainly.com/question/24734894
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Activity
Part A
Match the factors affecting cost to their definitions. Write the name of the factor next to its definition
Answer:
cost of materials - the value of all things needed to create the good or service
opportunity cost - the value of a product given up to produce or obtain another product
fixed cost - costs that are not affected by the level of production
sunk cost - past costs that cannot be recovered
marginal cost - change in total cost that arises when the quantity produced changes by one unit
Step-by-step explanation:
Answer:
cost of materials: the value of all things needed to create the good or service
opportunity cost: the value of a product given up to produce or obtain another product
fixed cost: costs that are not affected by the level of production
sunk cost: past costs that cannot be recovered
marginal cost: change in total cost that arises when the quantity produced changes by one unit
Genesis has an action figure collection. She keeps some in a display case and the rest on the wall. 253 of her action figures are on the wall, and 45% of her action figures are in the display case. What is the total number of action figures in Genesis's collection?
Answer:460
Step-by-step explanation:on delta math
The total number of action figures in Genesis's collection will be 460.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, Genesis offers a variety of action figures. She hangs the remainder and keeps some in a display cabinet. 253 of her action figures are hung on the wall, and the display case holds 45% of her collection.
The obtained expression for the given condition,
=253 / (1-0.45)
=253/0.55
=25300/55
=460
Thus, the total number of action figures in Genesis's collection will be 460.
Learn more about the arithmetic operation here:
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What is the area of the triangle?