Answers
Answer:
1. Given
2. Distributive Property
3. Combine like terms
4. APoE
5. SPoE
6. DPoE
I think that's the answer but I may be wrong since proofs are annoyingly difficult...
Related Questions
A phone company plans on offering their new smartphone in four colours: white, black, silver and rose gold. They anticipate that 30% of shoppers will prefer white, 35% will prefer black, 20% will prefer silver and 15% will prefer rose gold. They perform market research by asking a random sample of 350 potential customers which colour they prefer.
Color White Black Silve Rose Gold
Frequency 99 135 89 27
Can the company conclude that their expected distribution was accurate using a 10% level of significance?
a. Calculate the test statistic.
b. Determine the critical value(s) for the hypothesis test.
c. Conclude whether to reject the null hypothesis or not based on the test
Answers
a)
The test statistics is χ² = 8.31
b)
The critical value is 6.251.
c)
We reject the null hypothesis that the expected distribution is accurate.
What is hypothesis testing?Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.
It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.
We have,
a.
To test whether the expected distribution was accurate, we need to perform a chi-square goodness-of-fit test.
The null hypothesis is that the expected distribution is accurate, and the alternative hypothesis is that it is not accurate.
The expected frequencies are:
Color:
White Black Silver Rose Gold
105 122.5 70 52.5
i.e
Expected Freq:
0.3 x 350 = 105
0.35 x 350 = 122.5
0.2 x 350 = 70
0.15 x 350 = 52.5
Using the formula for the chi-square goodness-of-fit test statistic:
χ² = ∑ (Observed Frequency - Expected Frequency)² / Expected Frequency
χ² = [(99-105)²/105] + [(135-122.5)²/122.5] + [(89-70)²/70] + [(27-52.5)²/52.5]
χ² = 8.31
b.
The critical value for the chi-square test with 3 degrees of freedom (4 categories - 1) and a significance level of 0.10 is 6.251.
c.
Since the calculated test statistic (8.31) is greater than the critical value (6.251), we reject the null hypothesis that the expected distribution is accurate.
Therefore, the company cannot conclude that their expected distribution was accurate using a 10% level of significance.
Thus,
a)
The test statistics is χ² = 8.31
b)
The critical value is 6.251.
c)
We reject the null hypothesis that the expected distribution is accurate.
Learn more about hypothesis testing here:
https://brainly.com/question/30588452
#SPJ2
Solve for t. t + -24 = -29 -8
what is t value?
Answers
Hope this helps
Step-by-step explanation:
t-24= -37
t= -34+24
t= -13
Answer:
t = -13
Step-by-step explanation:
Add or subtract the numbers
t- 24 = - 37t−24=−37
Separate the constants and variables
t = - 37 + 24t=−37+24
Add or subtract the numbers
t = - 13t
If I have 10 apples, 3 oranges and 7 pears how may oranges do i have?
Answers
Answer:
20 oranges.
Step-by-step explanation:
If you add 10 and 3 that gives you 13,
now add the 7 and that should give you 20.
Which equation represents 7/3 ? Select all that apply.
Answers
please someone help me, ill give brainiest pls just help me its my last question on math:
Which comparison is correct?
1 2 3 or 4
1. 7 < 3
2. -2 > -7
3. -9 > 4
4. -6 > -5
Answers
Answer:
2. -2> -7 ...............
PLEASE ANSWER ASAP FOR BRAINESLT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Estimate the diameter of a circle with a circumference of 80 ft. Use 3.14 for pi
Answers
Round your answer to the nearest hundredth if necessary. Estimate the diameter of a circle with a circumference of 80 feet.
A. one solution
B. infinitely many solutions
C. no solution
Answers
If each person uses 70 gallons of water per day, how many gallons will 57 people use in a day?
Answers
3990
Step-by-step explanation:
57*70=3990
Can someone help having trouble solving this question
Answers
Answer:
114
Step-by-step explanation:
to get the degrees of hexagon u should know first the greatest degree so you can subtract the others from it and how to get that
by this formula (no of sides-2)*180
(6-2)*180=720
so 138+128+120+160+90=606
and the remaining angle should be 720-606
which is 114
How many 1/5s are in 1?
Answers
Answer:
5!
Step-by-step explanation:
solve for x:x - 14 < - 23
Answers
Answer:
Step-by-step explanation:
x - 14 < -23
x < -9
With a measurement question built on a multiple rating list scale, ____. participants rate multiple items on a three-point scale the participant is restricted to circling their rating. the data generated are always ordinal None of the above is correct. it is possible to visualize the results better than with other numerical scales.
Answers
Answer:
it is possible to visualize the results better than with other numerical scales
Step-by-step explanation:
A rating scale is been set up extract information concerning quantitative as well qualitative attribute.
A rating scale can be regarded as
method of data collection devices in collection of comparative information about as regards a specific research subject. It do comes in form of a multiple-choice question so that values could be assigned to a product by survey respondents. multiple rating list scale gives a better and broad results and give better chance in visualizing the gotten result compare with numerical scales( numerical scale are scales that gives quantitative symbolization as regards attribute).
It should be noted that With a measurement question built on a multiple rating list scale it is possible to visualize the results better than with other numerical scales
A store sells 8 colors of balloons with at least 28 of each color. How many different combinations of 28 balloons can be chosen? Apply the method of Example 9.6.2 using balloons instead of cans of soft drinks to find that the number of different combinations of 28 balloons that can be chosen is . (b) If the store has only 12 red balloons but at least 28 of each other color of balloon, how many combinations of balloons can be chosen? Use the method of Example 9.6.2(c) to answer this question. If the store has only 12 red balloons, then the number of different selections of 28 balloons of the different colors is the same as the number of different selections that contain 12 or fewer red balloons. Let T be the set of all possible selections, assuming that there are at least 28 balloons of each type, let R≤12 be the set of selections in T that contain 12 or fewer red balloons, and let R≥13 be the set of selections from T that contain 13 or more red balloons. Use the relationships among R≤12, R≥13, and T to find that the number of different combinations of 28 balloons that can be chosen is . (c) If the store has only 8 blue balloons but at least 28 of each other color of balloon, how many combinations of balloons can be chosen? (d) If the store has only 12 red balloons and only 8 blue balloons but at least 28 of each other color of balloon, how many combinations of balloons can be chosen?
Answers
Answer:
(a) [tex]Selection = 6724520[/tex]
(b) [tex]At\ most\ 12 = 6553976[/tex]
(c) [tex]At\ most\ 8 = 6066720[/tex]
(d) [tex]At\ most\ 12\ red\ and\ at\ most\ 8\ blue = 5896638[/tex]
Step-by-step explanation:
Given
[tex]Colors = 8[/tex]
[tex]Balloons = 28[/tex] --- at least
Solving (a): 28 combinations
From the question, we understand that; a combination of 28 is to be selected. Because the order is not important, we make use of combination.
Also, because repetition is allowed; different balloons of the same kind can be selected over and over again.
So:
[tex]n => 28 + 8-1[/tex][tex]= 35[/tex]
[tex]r = 28[/tex]
[tex]Selection = ^{35}^C_{28[/tex]
[tex]Selection = \frac{35!}{(35 - 28)!28!}[/tex]
[tex]Selection = \frac{35!}{7!28!}[/tex]
[tex]Selection = \frac{35*34*33*32*31*30*29*28!}{7!28!}[/tex]
[tex]Selection = \frac{35*34*33*32*31*30*29}{7!}[/tex]
[tex]Selection = \frac{35*34*33*32*31*30*29}{7*6*5*4*3*2*1}[/tex]
[tex]Selection = \frac{33891580800}{5040}[/tex]
[tex]Selection = 6724520[/tex]
Solving (b): At most 12 red balloons
First, we calculate the ways of selecting at least 13 balloons
Out of the 28 balloons, there are 15 balloons remaining (i.e. 28 - 13)
So:
[tex]n => 15 + 8 -1 = 22[/tex]
[tex]r = 15[/tex]
Selection of at least 13 =
[tex]At\ least\ 13 = ^{22}C_{15}[/tex]
[tex]At\ least\ 13 = \frac{22!}{(22-15)!15!}[/tex]
[tex]At\ least\ 13 = \frac{22!}{7!15!}[/tex]
[tex]At\ least\ 13 = 170544[/tex]
Ways of selecting at most 12 =
[tex]At\ most\ 12 = Total - At\ least\ 13[/tex] --- Complement rule
[tex]At\ most\ 12 = 6724520- 170544[/tex]
[tex]At\ most\ 12 = 6553976[/tex]
Solving (c): At most 8 blue balloons
First, we calculate the ways of selecting at least 9 balloons
Out of the 28 balloons, there are 19 balloons remaining (i.e. 28 - 9)
So:
[tex]n => 19+ 8 -1 = 26[/tex]
[tex]r = 19[/tex]
Selection of at least 9 =
[tex]At\ least\ 9 = ^{26}C_{19}[/tex]
[tex]At\ least\ 9 = \frac{26!}{(26-19)!19!}[/tex]
[tex]At\ least\ 9 = \frac{26!}{7!19!}[/tex]
[tex]At\ least\ 9 = 657800[/tex]
Ways of selecting at most 8 =
[tex]At\ most\ 8 = Total - At\ least\ 9[/tex] --- Complement rule
[tex]At\ most\ 8 = 6724520- 657800[/tex]
[tex]At\ most\ 8 = 6066720[/tex]
Solving (d): 12 red and 8 blue balloons
First, we calculate the ways for selecting 13 red balloons and 9 blue balloons
Out of the 28 balloons, there are 6 balloons remaining (i.e. 28 - 13 - 9)
So:
[tex]n =6+6-1 = 11[/tex]
[tex]r = 6[/tex]
Selection =
[tex]^{11}C_6 = \frac{11!}{(11-6)!6!}[/tex]
[tex]^{11}C_6 = \frac{11!}{5!6!}[/tex]
[tex]^{11}C_6 = 462[/tex]
Using inclusion/exclusion rule of two sets:
[tex]Selection = At\ most\ 12 + At\ most\ 8 - (12\ red\ and\ 8\ blue)[/tex]
[tex]Only\ 12\ red\ and\ only\ 8\ blue\ = 170544+ 657800- 462[/tex]
[tex]Only\ 12\ red\ and\ only\ 8\ blue\ = 827882[/tex]
[tex]At\ most\ 12\ red\ and\ at\ most\ 8\ blue = Total - Only\ 12\ red\ and\ only\ 8\ blue[/tex]
[tex]At\ most\ 12\ red\ and\ at\ most\ 8\ blue = 6724520 - 827882[/tex]
[tex]At\ most\ 12\ red\ and\ at\ most\ 8\ blue = 5896638[/tex]
Ms. Gittens went out to dinner and the total bill was $60. She wants to give the waiter a %20 tip. How much money should Ms. Gittens give the waiter for a tip?
Answers
Answer:
$12
Step-by-step explanation:
20% of 60 = 12
Answer:
12 .....20% of 60 is = 12
Step-by-step explanation:
Find the volume........
Answers
Answer:
765
Step-by-step explanation:
1/4 xbxaxh
0.5 x 17 x5 x 18
Which equals to 765
Answer:
18X17X5X.5=765
i think
Step-by-step explanation:
all you do is X all the sides and then add a *.5
9 +10 =
please help
I will give brainliest and 5 star and 10 points for the best answer
Answers
Answer:
910
Step-by-step explanation:
just remove the plus sign (+) to get your answer :)
If C is the incenter of ∆AMD, m∠A M C = 3 x + 6 and m∠ DMC= 8 x − 49.
find ∠ M A D (just numbers, no degrees signs).
Answers
Hope this will help you lot.
Answer:
<MAD=66
Step-by-step explanation:
to find x:
8x-49=3x+6
x=11
to find DMC:
8(11)-49
<DMC=39
<ADM=36
to find ADC:
36/2
<ADC=18
Evaluate the following expression.
3 to power of 1
Answers
Answer:
3
Step-by-step explanation:
it is 3 3x1 is 3
Can you please help me
Answers
9514 1404 393
Answer:
volume: 200 cm³surface area: 220 cm²Step-by-step explanation:
The usual formulas are useful for this.
V = LWH
V = (10 cm)(4 cm)(5 cm) = 200 cm³
The volume is 200 cubic centimeters.
__
SA = 2(LW +H(L +W))
SA = 2((10 cm)(4 cm) +(5 cm)(10 cm +4 cm)) = 2(40 +5(14)) cm² = 220 cm²
The surface area is 220 square centimeters.
Suppose a pack of candy bars has 4 bars. Each bar weighs 3.38 ounces. How much does the pack weigh?
Answers
Answer:
13.52 ounces I think...
Step-by-step explanation:
4x3.38 subtract the decimal and add it again...
Which graph represents a function?
Answers
Answer:
the bottom graph in the first photo
Step-by-step explanation:
it is a function, unlike the others, because that graph is the only one where the x values dont repeat. in order for it to be a function, the x values cannot repeat
URGENT
Solve each triangle. Show work.
Answers
Answer:
Multiply the 27 yd × 30 yd then after the other one do the same thing but after All divide it by 17
what is -2.14285714 rounded to the nearest whole
Answers
Answer:
-2
Step-by-step explanation:
ryan climbed 100 steps in 50 seconds. How many steps did he climbed per second? Step by step. Show the full procedure.
Answers
Let h(x)=|2x|-4. Find h(x) when x = -7.
a)-10
b) 10
c) -13
d) 13
Plzzz
Answers
On a coordinate plane, triangles A B C and D E F are shown. Triangle A B C has points (negative 10, negative 10), (negative 10, negative 4), and (4, negative 10). Triangle D E F has points (0, 8), (12, 4), and (5, 0). Which statement is true of the right triangles ABC and DEF? Area of ABC is greater than area of DEF. Area of ABC is less than area of DEF. Area of ABC is equal to the area of DEF. There is not enough information to compare the areas of triangles ABC and DEF.
Answers
Answer:
Area of ABC is greater than area of DEF
Step-by-step explanation:
Answer:
A. Area of ABC is greater than area of DEF.
find the mean absolute deviation {3,4,5,6,7}
Answers
Answer:
it's 1.2
Step-by-step explanation:
there's also a calculator online for mad
what is the volume of this composite solid
Answers
Answer:
C
Step-by-step explanation:
198 cubic meters
6/10 of the class has a pet dog. 27/100 of the class has a pet cat. The rest of the class has a pet fish. What fraction of the class has a pet fish?
Answers
Answer:
13/100 have pet fish
Step-by-step explanation:
6/10 = 60/100
60/100 + 27/100 = 87/100 have cats and dogs
that leaves 13/100 have pet fish