Section Exercise 11-8 Sales of People magazine are compared over a 5-week period at four Borders outlets in Chicago. Weekly Sales Store 1 Store 2 Store 3 Store 4 102 97 89 100 106 77 91 116 105 82 75 87 115 80 106 102 112 101 94 100 Click here for the Excel Data File Fill in the missing data. (Round your p-value to 4 decimal places, mean values to 1 decimal place, and other answers to 2 decimal places.) Treatment Mean n Std. Dev Store 1 Store 2 Store 3 Store 4 Total One-Factor ANOVA Source SS df MS F p-value Treatment Error Total (a) Based on the given hypotheses choose the correct option. H0: μ1 = μ2 = μ3 = μ4 H1: Not all the means are equal α = 0.05 Reject the null hypothesis if F > 3.24 Reject the null hypothesis if F < 3.24 (b) Determine the value of F. (Round your answer to 2 decimal places.) F-value (c) On the basis of the above-determined values, choose the correct decision from below. Fail to reject the null hypothesis. Reject the null hypothesis. (d) Determine the p-value. (Round your answer to 4 decimal places.) p-value Next Visit question mapQuestion 1 of 2 Total1 of 2 Prev
Answers
Answer:
Step-by-step explanation:
Hello!
An ANOVA was conducted to analyze the variable
Y: sales of "People" magazine over a 5-week period
This was studied in 4 Borders outlets in Chicago.
So this test has one factor: "Borders outlets" and four treatments: "Store 1, store 2, store 3 and store 4"
For each store you have the data for the weekly sales over a 5-week period so the sample sizes are:
n₁=n₂=n₃=n₄= 5 weeks
Store 1
∑X₁= 540; ∑X₁²= 58434
X[bar]₁= 108
S₁²= 28.50
S₁= 5.34
Store 2
∑X₂= 437; ∑X₂²= 38663
X[bar]₂= 87.40
S₂²= 117.30
S₂= 10.83
Store 3
∑X₃= 455; ∑X₃²= 41899
X[bar]₃= 91
S₃²= 123.50
S₃= 11.11
Store 4
∑X₄=505; ∑X₄²= 51429
X[bar]₄= 101
S₄²= 106
S₄= 10.30
Totals
N= n₁ + n₂ + n₃ + n₄= 4*5= 20
∑Mean= 108+87.40+91+101= 387.4
∑Variance= 28.50+117.30+123.50+106= 375.30
∑Standard deviation= 5.34+10.83+11.11+10.30= 37.58
Hypothesis test:
H₀: μ₁= μ₂= μ₃= μ₄
H₁: At least one population mean is different.
α: 0.05
The statistic for this test is
[tex]F= \frac{MS_{Treatments}}{MS_{Error}} ~~F_{k-1;N-k}[/tex]
k-1= 3 Df of the treatments, k=4 number of treatments
N-k= 16 Df of errors, N=20 total number of observations in all treatments
[tex]F_{H_0}= \frac{441.78}{93.83}= 4.71[/tex]
The critical region and p-value for this test are one-tailed to the right.
Using the critical value approach:
[tex]F_{k-1;N-k;1-\alpha }= F_{3;16;0.95}= 3.25[/tex]
The decision rule is:
If [tex]F_{H_0}[/tex] ≥ 3.25, reject the null hypothesis.
If [tex]F_{H_0}[/tex] < 3.25, do not reject the null hypothesis.
Using the p-value approach:
Little reminder: The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis).
So under the distribution F₃,₁₆ you have to calculate the probability of the calculated [tex]F_{H_0}[/tex]:
P(F₃,₁₆≥4.71)= 1 - P(F₃,₁₆<4.71)= 1 - 0.9847 = 0.0153
p-value= 0.0153
The decision rule for this approach is
If p-value ≤ α, reject the null hypothesis.
If p-value > α, do not reject the null hypothesis.
The p-value is less than the level of significance, so the decision is to reject the null hypothesis.
I hope this helps!
Related Questions
A study conducted at a certain high school shows that 72% of its graduates enroll at a college. Find the probability that among 4 randomly selected graduates, at least one of them enrolls in college.
Answers
Answer:
[tex] P(X \geq 1) =1-P(X<1) =1-P(X=0) [/tex]
And we can use the probability mass function and we got:
[tex]P(X=0)=(4C0)(0.72)^0 (1-0.72)^{4-0}=0.00615[/tex]
And replacing we got:
[tex] P(X \geq 1) = 1-0.00615 = 0.99385[/tex]
Step-by-step explanation:
Let X the random variable of interest "number of graduates who enroll in college", on this case we now that:
[tex]X \sim Binom(n=4, p=0.72)[/tex]
The probability mass function for the Binomial distribution is given as:
[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]
Where (nCx) means combinatory and it's given by this formula:
[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]
We want to find the following probability:
[tex] P(X \geq 1)[/tex]
And we can use the complement rule and we got:
[tex] P(X \geq 1) =1-P(X<1) =1-P(X=0) [/tex]
And we can use the probability mass function and we got:
[tex]P(X=0)=(4C0)(0.72)^0 (1-0.72)^{4-0}=0.00615[/tex]
And replacing we got:
[tex] P(X \geq 1) = 1-0.00615 = 0.99385[/tex]
Help me plz
Find the area of the circle use 3.14 for pi
Answers
Answer:
530.93 cm thats what i got at least
Answer:
A =530.66 cm^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
The radius is given by r =13
A = (3.14) (13)^2
A =530.66 cm^2
help help help help help
Answers
Answer:
See below
Step-by-step explanation:
a.
[tex]\dfrac{10}{4}=\dfrac{5(2)}{2(2)}=\dfrac{5}{2}[/tex]
b.
[tex]\dfrac{20}{15}=\dfrac{4(5)}{3(5)}=\dfrac{4}{3}[/tex]
c.
[tex]\dfrac{-24}{42}=\dfrac{-4(6)}{7(6)}=\dfrac{-4}{7}[/tex]
d.
[tex]\dfrac{-18}{-14}=\dfrac{-2(9)}{-2(7)}=\dfrac{9}{7}[/tex]
Hope this helps!
Tiffany is 140 miles away from Maggie. They are traveling towards each other. If Maggie travels 5 mph faster than Tiffany and they meet after 4 hours how fast was each traveling
Answers
Answer: Tiffany 15mph, Maggie 20mph
Step-by-step explanation:
Set up the equation 4((x+5) + x) = 140. x+5 represents how many miles Maggie covered in one hour. x represents how much Tiffany traveled in one hour. 140 is the number of miles in total. 4 is the number of hours in total.
Simplify the equation.
(x+5) + x = 35 Divide both sides by 4
2x+5 = 35 Combine like terms
2x = 30 Subtract 5 from both sides
x = 15 Divide both sides by 2
Tiffany traveled 15mph, while Maggie traveled 15+5=20mph.
What is 11/12 divided 1/3
Answers
Answer:
2.75 or 2 3/4
Step-by-step explanation:
so here you use the recipricle of 1/3. so you would do 11/12 X 3/1 =33/12= 2 3/4
Answer: 11/4
Step-by-step explanation:
to divide a fraction by another, you multiply by the reciprocal(the opposite of a certain fraction). the reciprocal of 1/3 is 3/1. so:
[tex]\frac{11}{12} / \frac{1}{3} = \frac{11}{12} * \frac{3}{1} = \frac{33}{12} = \frac{11}{4}[/tex] (divide both sides by 3 to simplify for the last one)
Find the area of the compound shape below..
Answers
Answer:
32 cm²
Step-by-step explanation:
6*4+ 1/2*4*4= 32 cm²
From the mid-1960s to the early 1990s, there was a slow but steady decline in SAT scores. For example, take the Verbal SAT. The average in 1967 was about 543; by 1994, the average was down to about 499. However, the SD stayed close to 110. The drop in average has a large effect on the tails of the distribution. 0.7% 7% 7.67% 7.6%
Answers
Complete Question
From the mid-1960's to the early 1990's, there was a slow but steady decline in SAT scores. For example, take the Verbal SAT. The average in 1967 was about 543; by 1994, the average was down to about 499. However, the SD stayed close to 110. The drop in average has a large effect on the tails of the distribution.
Estimate the percentage of students scoring over 700 on 1967.
A 0.7%
B 7%
C 7.67%
D 7.6%
Answer:
The correct option is D
Step-by-step explanation:
From the question we are told that
The average SAT score in 1967 is [tex]\= x_1 =543[/tex]
The standard deviation of score in 1967 is [tex]\sigma_ 1= 110[/tex]
The average SAT score in 1994 is [tex]\= x_2 = 499[/tex]
The standard deviation of score in 1967 is [tex]\sigma_ 2 = 110[/tex]
The percentage of students scoring over 700 on 1967 is mathematically represented as
[tex]P(X > 700)[/tex]
Where X is the random variable representing score of student above 700
Now normalizing the above probability we have
[tex]P(X > 700) = P(Z > \frac{700 - \= x_1 }{\sigma } )[/tex]
substituting values
[tex]= P(Z > \frac{700 - \= 543}{110 } )[/tex]
[tex]= P(Z > 1.83 )[/tex]
Form the normalized z table
= 0.076
= 7.6 %
A certain city's population is 120,000 and decreases 1.4% per year for 15 years.
Is this exponential growth or decay? Growth
What is the rate of growth or decay?
What was the initial amount? 120000
What is the function?
What is the population after 10 years? Round to the nearest whole number.
Answers
Answer:
Decay Problem.Decay rate, r = 0.014Initial Amount =120,000[tex]P(t)=120000(0.986)^t[/tex]P(10)=104,220Step-by-step explanation:
The exponential function for growth/decay is given as:
[tex]P(t)=P_0(1 \pm r)^t, where:\\P_0$ is the Initial Population\\r is the growth/decay rate\\t is time[/tex]
In this problem:
The city's initial population is 120,000 and it decreases by 1.4% per year.
Since the population decreases, it is a Decay Problem.Decay rate, r=1.4% =0.014Initial Amount =120,000Therefore, the function is:
[tex]P(t)=120000(1 - 0.014)^t\\P(t)=120000(0.986)^t[/tex]
When t=10 years
[tex]P(10)=120000(0.986)^10\\=104219.8\\\approx 104220 $ (to the nearest whole number)[/tex]
The city manager of Shinbone has received a complaint from the local union of firefighters to the effect that they are underpaid. Not having much time, the city manager gathers the records of a random sample of 27 firefighters and finds that their average salary is $38,073 with a standard deviation of $575. If she knows that the average salary nationally is $38,202, how can she respond to the complaint
Answers
Answer:
She can answer, after performing the hypothesis test, that there is not enough evidence to support the claim that the city firefighters salary is significantly lower than the national average.
Step-by-step explanation:
She can statistically test the claim of the firefighters to see if it has statistical evidence.
This is a hypothesis test for the population mean.
The claim is that the city firefighters salary is significantly lower than the national average.
Then, the null and alternative hypothesis are:
[tex]H_0: \mu=38202\\\\H_a:\mu< 38202[/tex]
The significance level is 0.1. Is less conservative than 0.05, for example, so if there is little evidence, the null hypothesis with be rejected.
The sample has a size n=27.
The sample mean is M=38073.
As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=575.
The estimated standard error of the mean is computed using the formula:
[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{575}{\sqrt{27}}=110.659[/tex]
Then, we can calculate the t-statistic as:
[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{38073-38202}{110.659}=\dfrac{-129}{110.659}=-1.17[/tex]
The degrees of freedom for this sample size are:
df=n-1=27-1=26
This test is a left-tailed test, with 26 degrees of freedom and t=-1.17, so the P-value for this test is calculated as (using a t-table):
[tex]\text{P-value}=P(t<-1.17)=0.127[/tex]
As the P-value (0.127) is bigger than the significance level (0.1), the effect is not significant.
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that the city firefighters salary is significantly lower than the national average.
Zelie planned for a square pool to have a side length of 28 ft but found that it needs to be 14 ft long to fit in her backyard. She found the change of scale below. Which is Zelie’s error? Zelie should have divided both numbers by 14. Zelie should have written the ratio as 28/7. Zelie should have written the ratio as 14/8. Zelie should have subtracted 14 from both numbers.
Answers
Answer:
Zelie should have divided both numbers by 14 to find the scale (2)
Step-by-step explanation:
Answer:
the answers A.
Step-by-step explanation:
I TOOK THE QUIZ edg 2020
Please answer this correctly
Answers
Answer:
14.28 mm
Step-by-step explanation:
Find the circumference if it were a normal circle, then divide it by 4.
C = 2[tex]\pi[/tex]r
C = 2[tex]\pi[/tex](4)
C = 8[tex]\pi[/tex]
Divide it by 4
2[tex]\pi[/tex] + 4 + 4 = 14.28
Answer:
25.13 mm is the circumfrence, I believe.. Been a while since I've worked with this
Step-by-step explanation:
Find the inverse of f(x)=1/(x^3)
Answers
Answer:
Step-by-step explanation:
y[tex]f(x)^{-1} = inverse\\f(x)=y \\y = 1/(x^{3} \\Inverse: y=x ------------> x = 1/y^{3}\\y^{3} - \frac{1}{x} = 0\\y^{3} = \frac{1}{x}\\y = \sqrt[3]{\frac{1}{x}} \\y = \frac{\sqrt[3]{1} }{\sqrt[3]{x}} \\y = \frac{1}{\sqrt[3]{x}}[/tex]
Suppose f(x) is continuous on [3,6] and −3≤f′(x)≤5 for all x in (3,6). Use the Mean Value Theorem to estimate f(6)−f(3).
Answers
Answer: -9 ≤ f(6) - f(3) ≤ 15
Step-by-step explanation:
In order to use the Mean Value Theorem, it must be continuous and differentiable. Both of these conditions are satisfied so we can continue.
Find f(6) - f(3) using the following formula:
[tex]f'(c)=\dfrac{f(b)-f(a)}{b-a}[/tex]
Consider: a = 3, b = 6
[tex]\text{Then}\ f'(c)=\dfrac{f(6)-f(3)}{6-3}\\\\\\\rightarrow \quad 3f'(c)=f(6) - f(3)[/tex]
Given: -3 ≤ f'(x) ≤ 5
-9 ≤ 3f'(c) ≤ 15 Multiplied each side by 3
→ -9 ≤ f(6) - f(3) ≤ 15 Substituted 3f'(c) with f(6) - f(3)
if two adjecent complentary angles are congruent then what is the measure of each angle?
Answers
to explain (using algebra)
x + x = 90
which means 2x = 90
So then you’d divide both x’s by 2, to get your answer!
x = 45
A study seeks to answer the question, "Does Vitamin C level in the breast milk of new mothers reduce the risk of allergies in their breastfed infants?" The study concluded that high levels of vitamin C (measured in mg) were associated with a 30 percent lower risk of allergies in the infants. In this scenario, "levels of vitamin C (measured in milligrams)" is what type of variable?
Answers
Answer:
Quantitative variable
Step-by-step explanation:
The objective in this study is to find the of variable used to conduct the study. The type of variable used to conduct this study is Qualitative variable.
There are majorly two types of variable. These are:
Categorical VariableQuantitative variableCategorical variables are types of variables that are grouped based on some similar characteristics. The nominal scale and the ordinal scale falls under this group of variable.
The nominal scale is an act of giving name to a particular object or concept in order to identify or classify that particular thing.
On the other hand, The ordinal scale possess all the characteristics of nominal scale but here the variables can be ordered. It can be used to determine whether the item is greater or less. It express the indication of order and magnitude.
In Qualitative variables; variables are measured on a numeric scale. From the given question , This type of variable is used to measure the high levels of vitamin C (measured in mg) which were associated with a 30 percent lower risk of allergies in the infants.
The levels of vitamin C could range from 0 mg to certain mg therefore we can measure vitamin C in numerical values of measurement (Quantitative variable).
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.
Answers
Answer:
B. (f - g)(x) = -3x² - x - 4
Step-by-step explanation:
→Set it up like so:
(-4x² - 6x - 1) - (-x² - 5x + 3)
→Distribute the -1 to (-x² - 5x + 3):
-4x² - 6x - 1 + x² + 5x - 3
→Add like terms (-4x² and x², -6x and 5x, -1 and -3):
-3x² - x - 4
Select the correct answer
Why are online payment services necessary?
OA
Individuals who sell items online cannot afford to deal with credit card companies.
B.
It is too risky to use credit cards online, and online payment services have better security
C. Government regulations require all online transactions be made using online payment services.
D.
Online payment services are the only payment method that individuals who sell items online trust.
Reset
Nalut
Answers
Answer:
B
Step-by-step explanation:it is really too risky to use credit card online because for someone who doesnt now if the busines is really considered as a trustful source or just a scam.
Answer:
Its A.) Individuals who sell items online cannot afford to deal with credit card companies.
Step-by-step explanation:
On plato
Show the frequency distribution for the Gross Profit Margin using the five intervals below:, , , , and Gross Profit MarginFrequencyA. B. C. D. Choose the correct histogram from the above diagrams.e. What is the average price/earnings ratio (to 1 decimal)
Answers
Answer:
Step-by-step explanation:
a) Number of variables in the data set : 5
b) A quantitative variable is the one which can be quantitatively measured. i.e. it is a numerical value.
A categorical variable is the one that can take one value from a limited number of fixed values.
Exchange is a Categorical Variable. Price/Earnings Ratio is a Quantitative Variable. Gross Profit Margin (%) is a Quantitative Variable.
c. Out of the 25 stocks, AMEX is the exchange for 5 stocks. So percent frequency is 5/25 = 0.2 = 20%.
NYSE is the exchange for 3 stocks. So percent frequency is 3/25 = 0.12 = 12%.
OTC is the exchange for 17 stocks. So percent frequency is 17/25 = 0.68 = 68%.
These percentages are correctly shown in graph a. So the answer is a.
d) The frequency distribution is
Gross Profit Margin Frequency
0-14.9 2
15-29.9 6
30-44.9 8
45.59.9 6
60.74.9 3
As we come across the Gross Profit Margin values in the table, we add a | next to its respective interval and build the above table. E.g. the first value in the table under Gross Profit Margin is 36.7 which lies in the interval 30–44.9. So we add one | in fromt of that interval and so on until we cover the entire table. The number of | shows the frequency distribution of the values.
The correct histogram is A.
e. The average price/earnings ratio is found by adding all the 25 values in the table and dividing the answer by 25.
= 505.40/25
= 20.2Find the product. (4p – 6)(4p + 6) a. 16p2 + 36 b. 16p2 – 36 c. 16p2 – 48p – 36 d. 16p2 + 48p + 36
Answers
Answer:
Brainleist to me!
Step-by-step explanation:
(4p – 6)(4p + 6) =
B) 16 p^2 - 36
just use a online calculator
Answer:
16p²-36
Step-by-step explanation:
1(4p-6)(4p+6)
as we know that (a+b)(a-b)=a²-b²
=(4p)²-(6)²
=16p²-36
55c + 13 < 75c + 39
Solve for c
Answers
Answer:
c>-13/10
Step-by-step explanation:
55c+13<75c+39
55c+13-75c<39
-20c+13<39
-20c<39-13
-20c<26
c>26/-20
c>-13/10
An amount of money earned #24 in 4 years at a rate of 5% per year simple intrest. what was the amount of money
Answers
Answer:
4.8
Step-by-step explanation:
simple interest=Principal ×time×rate ÷100
=24×4×5÷100
=4.8
An observer at the top of a 532 foot cliff measures the angle of depression from the top of the cliff to a point on the ground to be 4 degrees. What is the distance from the base of the cliff to the point on the ground? Round to the nearest foot.
Answers
Answer:
Distance from the base of the cliff to the point on the ground = 7608 feet
Step-by-step explanation:
Given: Height of the cliff is 532 feet, angle of depression from the top of the cliff to a point on the ground is equal to 4 degrees.
To find: distance from the base of the cliff to the point on the ground
Solution:
In ΔABC,
[tex]\angle ACB=4^{\circ}[/tex] (Alternate interior angles)
For any angle [tex]\theta[/tex], [tex]\tan \theta =[/tex] side opposite to angle/side adjacent to angle
[tex]\tan C=\frac{AB}{BC}[/tex]
Put [tex]AB=532\,,\,\angle C=4^{\circ}[/tex]
[tex]\tan 4^{\circ}=\frac{532}{BC}\\\\BC=\frac{532}{\tan 4^{\circ}}\\\\=7607.95\\\\\approx 7608\,\,feet[/tex]
Distance from the base of the cliff to the point on the ground = 7608 feet
An online furniture store sells chairs for $100 each and tables for $550 each. Every day, the store can ship at most 25 pieces of furniture and must sell no less than $7000 worth of chairs and tables. If 9 chairs were sold, determine all possible values for the number of tables that the store must sell in order to meet the requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.
Answers
Answer:
(10, 11, 12, 13, 14, 15, 16)
Step-by-step explanation:
The minimum number of tables that the store has to sell in order to meet the requirements is given by:
[tex](25-t)*100+t*550=7,000\\(550-100)t=7,000-2,500\\t = 10\ tables[/tex]
The company must sell at least 10 tables.
Since the company already sold 9 chairs, and they can ship at most 25 items, they can sell at most 16 tables. Every integer number between the minimum and maximum is also possible:
(10, 11, 12, 13, 14, 15, 16).
Answer:
12,13,14,15,16
Step-by-step explanation:
\underline{\text{Define Variables:}}
Define Variables:
May choose any letters.
\text{Let }t=
Let t=
\,\,\text{the number of tables sold}
the number of tables sold
\text{Let }c=
Let c=
\,\,\text{the number of chairs sold}
the number of chairs sold
\text{\textquotedblleft at most 25 pieces"}\rightarrow \text{25 or fewer pieces}
“at most 25 pieces"→25 or fewer pieces
Use a \le≤ symbol
Therefore the total number of furniture pieces sold, t+ct+c, must be less than or equal to 25:25:
t+c\le 25
t+c≤25
\text{\textquotedblleft no less than \$7000"}\rightarrow \text{\$7000 or more}
“no less than $7000"→$7000 or more
Use a \ge≥ symbol
The store makes $550 for each table sold, so for tt tables, the store will make 550t550t dollars. The store makes $100 for each chair sold, so for cc chairs, the store will make 100c100c dollars. Therefore, the total revenue 550t+100c550t+100c must be greater than or equal to \$7000:$7000:
550t+100c\ge 7000
550t+100c≥7000
\text{Plug in }9\text{ for }c\text{ and solve each inequality:}
Plug in 9 for c and solve each inequality:
The store sold 9 chairs
\begin{aligned}t+c\le 25\hspace{10px}\text{and}\hspace{10px}&550t+100c\ge 7000 \\ t+\color{green}{9}\le 25\hspace{10px}\text{and}\hspace{10px}&550t+100\left(\color{green}{9}\right)\ge 7000 \\ t\le 16\hspace{10px}\text{and}\hspace{10px}&550t+900\ge 7000 \\ \hspace{10px}&550t\ge 6100 \\ \hspace{10px}&t\ge 11.09 \\ \end{aligned}
t+c≤25and
t+9≤25and
t≤16and
550t+100c≥7000
550t+100(9)≥7000
550t+900≥7000
550t≥6100
t≥11.09
\text{The values of }t\text{ that make BOTH inequalities true are:}
The values of t that make BOTH inequalities true are:
\{12,\ 13,\ 14,\ 15,\ 16\}
{12, 13, 14, 15, 16}
\text{(the final answer is this entire list)}
(the final answer is this entire list)
The sum of two numbers is 4 1/2. The difference is 3 1/4. Find the numbers.
Answers
Answer:
let the two number is x and y
x + y = 4 1/2 .....(i)
x - y = 3 1/4 ......(ii)
adding question (i) and (ii)
x + y = 9/2
x - y = 31/4
=> 2x = 31/4
x = 8/31
substituting the value x in equation 1
8/31 + y = 9/ 2
y = 9/2 - 8/31
y =203/62
the value of x = 8/31
y = 203/62
The supreme choice pizza at Pizza Paradise contains 2 different meats and 4 different vegetables. The customer can select any one of 5 types of crust. If there are 4 meats and 9 vegetables to choose from, how many different supreme choice pizzas can be made?
Answers
Answer:
756
Step-by-step explanation:
This is a combination problem. Combination has to do with selection.
If we are to select r objects out of a oiil of n objects, this can be done in nCr number of ways as shown;
nCr = n!/(n-r)!r!
From the question, there are 4 meats and 9 vegetables to choose from. If the customer is to select 2 different meats and 4 different vegetables from the available ones, this can be done as shown
4C2 (selection of 2 different meats from 4meats) and 9C4(selection of 4 different vegetables from 9 total vegetables)
The total number of ways this can be done is 4C2 × 9C4
= 4!/(4-2)!2! × 9!/(9-4)!4!
= 4!/2!2! × 9!/5!4!
= 4×3×2!/2!×2 × 9×8×7×6×5!/5!×4×3×2
= 6 × 9×7×2
= 756ways
This means 756 different supreme choice pizzas can be made.
Fredrick slept 4 hours each day in weekdays and 8 hours in weekend. How many
hours did he sleep in 5 weeks?
Answers
Answer:
180 or 1260
Step-by-step explanation:
4*5=20
8*2=16
20+16=36
36*5=180
180*7=1260
sorry it took so long im only in 8th grade but im doing 11th grade classes because im smart i guess
What is the area & perimeter of this figure?
Answers
Answer:
The perimeter is
Step-by-step explanation:
perimeter is the whole distance you will go around the shape
Perimeter= 19 +3+(19-5)+(8-3)+5+8
= 19+3+14+5+5+8
= 54
For area, cut the triangle into small and big rectangle
Area = 19 * 3+ (8-3) * 5
= 57 + 25
= 82
IWhat is the equation of a line that passes through the points (3, 6) and (8, 4)?
Answers
Answer:
[tex] (x_1 =2, y_1 = 6), (x_2 = 2, y_2 = 4)[/tex]
[tex] m =\frac{y_2 -y_1}{x_2 -x_1}[/tex]
And replacing we got:
[tex] m=\frac{4-6}{8-3}= -\frac{2}{5}[/tex]
And for this case we can use the first point to find the intercept like this:
[tex] 6 = -\frac{2}{5}(3) +b[/tex]
And solving we got:
[tex] b = 6 +\frac{6}{5}= \frac{36}{5}[/tex]
And then the line equation would be given by:
[tex] y = -\frac{2}{5}x +\frac{36}{5}[/tex]
Step-by-step explanation:
For this case we have the following two points given:
[tex] (x_1 =2, y_1 = 6), (x_2 = 2, y_2 = 4)[/tex]
And for this case we want an equation for a line with the two points given by:
[tex] y = mx+b[/tex]
Wher m is the slope and b the y intercept. We can find the slope with this formula:
[tex] m =\frac{y_2 -y_1}{x_2 -x_1}[/tex]
And replacing we got:
[tex] m=\frac{4-6}{8-3}= -\frac{2}{5}[/tex]
And for this case we can use the first point to find the intercept like this:
[tex] 6 = -\frac{2}{5}(3) +b[/tex]
And solving we got:
[tex] b = 6 +\frac{6}{5}= \frac{36}{5}[/tex]
And then the line equation would be given by:
[tex] y = -\frac{2}{5}x +\frac{36}{5}[/tex]
A population has the following characteristics.(a) A total of 25% of the population survives the first year. Of that 25%, 75% survives the second year. The maximum life span is 3 years.(b) The average number of offspring for each member of the population is 3 the first year, 5 the second year, and 3 the third year.The population now consists of 144 members in each of the three age classes. How many members will there be in each age class in 1 year?0 ≤ age ≤ 1 = 1 ≤ age ≤ 2 = 2 ≤ age ≤ 3 = In 2 years?0 ≤ age ≤ 1 = 1 ≤ age ≤ 2 = 2 ≤ age ≤ 3 =
Answers
Answer:
After 1st year, the age distribution will be
[tex]x_1 = \left[\begin{array}{ccc}1584\\36\\108\end{array}\right][/tex]
After 2nd year, the age distribution will be
[tex]x_2 = \left[\begin{array}{ccc}5256\\396\\27\end{array}\right][/tex]
Step-by-step explanation:
A population has the following characteristics.
A total of 25% of the population survives the first year. Of that 25%, 75% survives the second year.
The average number of offspring for each member of the population is 3 the first year, 5 the second year, and 3 the third year.
From the above information, we can construct a transition age matrix.
[tex]A = \left[\begin{array}{ccc}3&5&3\\0.25&0&0\\0&0.75&0\end{array}\right][/tex]
The population now consists of 144 members in each of the three age classes.
From the above information, we can construct the current age matrix.
[tex]x = \left[\begin{array}{ccc}144\\144\\144\end{array}\right][/tex]
How many members will there be in each age class in 1 year?
After 1st year, the age distribution will be
[tex]x_1 = A \cdot x[/tex]
[tex]x_1 = \left[\begin{array}{ccc}3&5&3\\0.25&0&0\\0&0.75&0\end{array}\right] \times \left[\begin{array}{ccc}144\\144\\144\end{array}\right][/tex]
The matrix multiplication is possible since the number of columns of first matrix is equal to the number of rows of second matrix.
[tex]x_1 = \left[\begin{array}{ccc}1584\\36\\108\end{array}\right][/tex]
After 2nd year, the age distribution will be
[tex]x_2 = A \cdot x_1[/tex]
[tex]x_2 = \left[\begin{array}{ccc}3&5&3\\0.25&0&0\\0&0.75&0\end{array}\right] \times \left[\begin{array}{ccc}1584\\36\\108\end{array}\right][/tex]
[tex]x_2 = \left[\begin{array}{ccc}5256\\396\\27\end{array}\right][/tex]
Presenting historical information without hypothesis tests or exploratory analysis is:_________.
a) predictive statistics
b) prescriptive statistics
c) descriptive statistics
d) inferential statistics
Answers
Answer:
c) descriptive statistics
Correct. When we present information without any type of hypothesis we are describing the information
Step-by-step explanation:
We know that we are presenting historical information without any hypothesis and we need to find the right term, let's analyze one by one
a) predictive statistics
False. We can't predict if we are using historical information because predict is for the future and that not applied here.
b) prescriptive statistics
False. This term not exists in reality the most similar term is prescriptive analytic who analyze a series of scenarios fr an information given
c) descriptive statistics
Correct. When we present information without any type of hypothesis we are describing the information
d) inferential statistics
False. If we don't have any hypothesis we can't apply any inferential study and for this case is not the correct option
