A mooncake with two egg yolks costs $2 more than a mooncake with one egg yolk. The cost of 6 mooncakes with two egg yolks and 5 mooncakes with one egg yolk is $130.80. Find the cost of a mooncake with two two egg yolks.
Plz do in algebraic method
A car dealer is interested in comparing the average gas mileages of four different car models. The dealer believes that the average gas mileage of a particular car will vary depending on the person who is driving the car due to different driving styles. Because of this, he decides to use a randomized block design. He randomly selects five drivers and asks them to drive each of the cars. He then determines the average gas mileage for each car and each driver. Can the dealer conclude that there is a significant difference in average gas mileages of the four car models? The results of the study are as follows.
Find the value of the F-test statistic for testing whether the average gas mileage is the same for the four car models. Round your answer to two decimal places, if necessary.
Car A Car B Car C Car D
Driver 1 23 39 22 25
Driver 2 37 39 28 39
Driver 3 39 40 21 25
Driver 4 34 36 27 33
Driver 5 27 35 26 37
Required:
Make the decision to reject or fail to reject the null hypothesis that there is no difference in the average gas mileages of the four car models. State the conclusion in terms of the original problem. Use alpha = 0.01.
a. We reject the null hypothesis. At the 0.01 level of significance, there is sufficient evidence of a difference in average gas mileages of the four car models.
b. We fail to reject the null hypothesis. At the 0.01 level of significance, there is not sufficient evidence of a difference in average gas mileages of the four car models.
c. We fail to reject the null hypothesis. At the 0.01 level of significance, there is sufficient evidence of a difference in average gas mileages of the four car models.
d. We reject the null hypothesis. At the 0.01 level of significance, there is not sufficient evidence of a difference in average gas mileages of the four car models.
Answer:
We reject the null hypothesis at the 0.01 level of significance, there is sufficient evidence of a difference in average gas mileages of the four car models ( A )
Step-by-step explanation:
Using the Given data we will apply the two way ANOVA without
source of variation SS df MS F
Block 148.80 4 37.20 1.68
Treatment 424.40 3 141.47 6.39
Error 265.60 12 22.13
Total 838.80 19
From the Two way ANOVA table the F-statistic = 6.39
100 POINTS!!
Find the slope and the y intercept of the line in the graph.
Answer:
Slope: 5/1
y-intercept: 2
Step-by-step explanation:
Researchers are studying the relationship between the median salary of a police officer in a city and the number of violent crimes per 1,000 people. The researchers collected the police officers' median salary and the number of violent crimes per 1,000 people in 87 cities. After analyzing the data, researchers found that a city with a greater police officers' median salary tends to have a greater number of violent crimes per 1,000 people.
The variables
(select)
.
The greater police officers' median salary corresponds to a
(select)
number of violent crimes per 1,000 people, so there is a
(select)
correlation.
Causation is
(select)
but it is unknown which variable causes the other. A greater median salary of police officers could cause a greater number of violent crimes per 1,000 people or a greater number of violent crimes per 1,000 people could cause a greater median salary of police officers. It is also possible that another factor causes a greater median salary and a greater number of violent crimes per 1,000 people.
Answer:
i jke it way fi naby qheisghb hjnssg ubg. jgb
find the height of a parallelogram with a base 24 inches and the area of 432 square inches
Answer:
the height of the parallelogram would be 18 inches.
how many square yards of carpet are needed to completely cover a rectangular floor that measures 15 feet by 9 feet?
Answer:
0.6
Step-by-step explanation:
which is a common denominator of 1/4 and 3/5?
and
A.
9
B.
15
C.
16
D.
20
Answer:
20
Step-by-step explanation:
'थूकेंगे' शब्द का वर्ण-विच्छेद कीजिए।
Answer:
English pls
Step-by-step explanation:
अन्यथा बहस करें, शिकायतें पकड़ें।
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
y= 9 x= -42
Step-by-step explanation:
What is the volume of this rectangular prism?
cm
3
cm
5
cm
3
cm
Answer:
2cm³
Step-by-step explanation:
Consider these functions
f(x) = 4x^3 - 10
3x - 4
g(x) = _______
2
What is the value of g(f(2))
A. -6
B. 2
C. 19
D. 31
==========================================================
Explanation:
The expression g(f(2)) has f(2) as the inner function.
Let's compute f(2)
This means we plug x = 2 into the f(x) function
f(x) = 4x^3 - 10
f(x) = 4(x)^3 - 10
f(2) = 4(2)^3-10
f(2) = 4*8-10
f(2) = 32-10
f(2) = 22
Now we'll plug this into the g(x) function
This is because g(f(2)) = g(22). I've replaced f(2) with 22
So,
g(x) = (3x-4)/2
g(22) = (3*22-4)/2
g(22) = (66-4)/2
g(22) = 62/2
g(22) = 31
Therefore, g(f(2)) = 31
The value of the function g(f(x)) at x = 2 will be 31. Then the correct option is D.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The functions are given below.
f(x) = 4x³ - 10
g(x) = (3x - 4) / 2
The function g(f(x)) is written as,
g(f(x)) = [3(4x³ - 10) - 4] / 2
g(f(x)) = [12x³ - 30 - 4] / 2
g(f(x)) = [12x³ - 34] / 2
g(f(x)) = [6x³ - 17]
The value of the function g(f(x)) at x = 2 will be given as,
g(f(2)) = [6(2)³ - 17]
g(f(2)) = 6(8) - 17
g(f(2)) = 48 - 17
g(f(2)) = 31
The value of the function g(f(x)) at x = 2 will be 31. Then the correct option is D.
More about the function link is given below.
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PLEASE HURRY ASAP:
Which of the following statements are true about the graph of f(x) = 6(x + 1)2 -9?
Check all of the boxes that apply.
The vertex is (1, -9).
The graph opens upward.
The graph is obtained by shifting the graph of f(x) = 6(x + 1)2 up 9 units.
The graph is steeper than the graph of f(x) = x2.
The graph is the same as the graph of f(x) = 6x2 + 12x - 3.
Answer:
loong d is it now we know lololololololol
Step-by-step explanation:
Answer:
2,4,5
Step-by-step explanation:
X^4 - 3x^2 + 2y - 1 is a polynomial of degree
Answer:
thankyou uwhdjaossbehsaWrite the phrase "the sum of a number and twenty-three less than that number" as a mathematical expression.
A) x + 23
B) x ⋅ 23
C) x – 23
D) x + (x – 23)
Answer:
D
Step-by-step explanation:
The sum of a number and twenty-three less than that number" as a mathematical expression is x + (x – 23)
I mean its the only answer with sum and "less than" because that usually means you need to subtract, I hope this helps
Answer:
D
Step-by-step explanation:
HELPPPP
the last part says select 3 options
Answer:
Last three options are correct answers.
Step-by-step explanation:
Hope it helps you in your learning process.
Answer:
Last 3 ones are correct.
Step-by-step explanation:
The first one isn't it, because there needs to be 3 y's.
The second one isn't it, because the numbers equal 112, which isn't equal to 1120.
So it says to select 3, which means that the last 3 ones are correct.
(sorry if I'm incorrect, I'm bad at these questions)
PLS HELP ITS URGENT!! ANSWER FOR POINTS
A random sample of 95 halogen light bulbs had a mean life of 531 hours with a standard
deviation of 33 hours. Construct a 90% confidence interval for the mean life of all light bulbs
of this type.
A) 525.4 < u <536.6
B) 515.3< u < 526.9
C) 527.2 < u <531.8
D) 523.8 < u < 529.5
1. Which expression is equivalent to the given expression? * -0.25 (84 – 32n) - n
a. 21 – 9n
b. -21 – 9n
c. - 21 + 8.25n
d. -21 + 7n
PLS HURRY
5x - 4 = 2 (x + 3) + x
Step-by-step explanation:
5x - 4 = 2x + 6 × x
-----> 5x-3x = 6 + 4
-----> 2x = 10
----> x = 5
How do you graph for the function Y= 3x-2
Mikey buys an assorted box of chocolates that contains 18.61 ounces of dark chocolate and 37.23 ounces of milk chocolate. how much do the chocolate weigh in total?
Answer:
55.84 oz
Step-by-step explanation:
Hope this will help
me pueden ayudar plis lo necesito para hoy
Answer:
4)B
Step-by-step explanation:
0
0.25
0.50
0.75
Create a word problem that can be represented by the expression in number 4. –6 ÷ 1 1/3
Answer:
I suppose that we want to use the expression in number 4.
The expression we need to use is:
6/(1 + 1/3)
This is:
"the quotient between the number 6 and the number 1 and 1/3"
We could write a problem like:
"We have 1 and 1/3 pounds of apples, and we have 6 grams of caramel that we want to divide evenly between all the apples. How much caramel we will have in each pound of apples?"
Then we need to divide the total amount of caramel by the total amount of apples, this is:
(6gr)/(1 + 1/3 lb) = (6/(3/3 + 1/3 )) gr/lb = (6/ 4/3) gr/lb = 6*(3/4) gr/lb
= 18/4 gr/lb = (16 + 2)/4 gt/lb = 16/4 gr/lb + 2/4gr/lb = 4 gr/lb + 1/2 gr/lb
= (4 and 1/2) gr/lb
1. Use the method described in the activity to find the rational zeros for
-10x3 + 15x+ 16x-12.
Answer:
-42+31x
Step-by-step explanation:
-30+31x-12
-42+31x
I need to know how to work fractions word problems like Leon's older brother is 4 3/4 feet tall. Leon is 1/3 foot shorter than his brother. How tall is Leon?
Answer:
4 5/12 feet tall
Step-by-step explanation:
Find the LCM first. The LCM is the lowest common multiple between the two denominators. The LCM in this problem is 12, so you multiply each fraction until the denominators equal 12
4 3/4 -> 4 9/12
1/3 -> 4/12
Now it's much easier to solve. 4 9/12 - 4/12 = 4 5/12 feet tall
Garret grew 2 2/3 inches each year for the past 3 years. How many inches total has Garret grown in the past 3 years ?
Answer:
8 inches,
Step-by-step explanation:
2 2/3 = 8/3.
3 * 8/3
= 8 inches,
Benjamin has 16 coins in his wallet consisting of quarters and dimes. The total worth of
the coins is $3.10. Benjamin created two linear equations to model this scenario, where
q represents the number of quarters in his wallet, and d represents the number of
dimes.
Answer:
6 dimes & 10 quarters
Step-by-step explanation:
Here are the two equations. The first one deals with the numbers of coins. The second one deals with the values of the coins.
d + q = 16
0.1d + 0.25q = 3.1
Solve the first equation for d and plug into the second equation.
d = 16 - q
0.1(16 - q) + 0.25q = 3.1
1.6 - 0.1q + 0.25q = 3.1
0.15q = 1.5
q = 10
d + q = 16
d + 10 = 16
d = 6
Answer: 6 dimes & 10 quarters
Benjamin has 6 dimes and 10 quarters.
What is linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
Given that two equations,
d + q = 16
0.1d + 0.25q = 3.1
Where q represents the number of quarters in his wallet, and d represents the number of dimes.
d = 16 - q
0.1(16 - q) + 0.25q = 3.1
1.6 - 0.1q + 0.25q = 3.1
0.15q = 1.5
q = 10
d + q = 16
d + 10 = 16
d = 6
Hence Benjamin has 6 dimes and 10 quarters.
Learn more about linear equation
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identify the following equations as one solution , no solution or infinite solutions 6x + 9 -x=3x+9+ x
Answer:
no solution
Step-by-step explanation:
Answer:
Step-by-step explanation:
5x+9= 4x+9
x=0
so one solution
please help me thank you in advance!
Answer:
4x + 5y = 20
Step-by-step explanation:
It is parallel to y = -4/5x + 6
Chad measured a house and its lot and made a scale drawing.
The backyard is 17 inches long
in the drawing.
The actual yard is 68 feet long.
What scale did Chad use for the drawing?
1 inch __ feet
Answer: 4 maybe because if its 17 inches divide 68 by 17 and it should give you your answer
A trial balance has total debits of $36,000 and total credits of $48,500. Which one of the following errors would create this imbalance?
A.) A $6,250 debit to utilities expense in a journal entry was incorrectly posted to the ledger as a $6,250 credit, leaving the utilities expense account with a $7,000 debit balance.
B.) A $12,500 debit to salaries expense in a journal entry was incorrectly posted to the ledger as a $12,500 credit, leaving the salaries expense account with a $2,350 debit balance.
C.) A $6,250 credit to consulting fees earned (revenues) in a journal entry was incorrectly posted to the ledger as a $6,250 debit, leaving the consulting fees earned account with a $14,300 credit balance.
D.) A $6,250 debit posting to accounts receivable was posted mistakenly to land.
E.) A $12,500 debit posting to equipment was posted mistakenly to cash.
F.) An entry debiting cash and crediting accounts payable for $12,500 was mistakenly not posted.
Please answer which one is it. Thank you!
Answer:
__________
Step-by-step explanation:
Is the answer A?
