400 cupcakes will be sold by the bakery on that day if the percentage of total sales is 12%.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
A set of financial statements with a budgeted amount are created using the percentage-of-sales approach. The predicted sales level for the budget period is calculated by converting each historical cost into a percentage of net sales.
It is given that,
Total number of chocolate cupcakes sold = 48
Let the x be the cupcakes that will be sold by the bakery on that day
According to the given condition, 12% of the total number of cupcakes is 48.
⇒12% of x = 48
⇒(12/100) × x =48
⇒x=(48×100)/12
⇒x=400
Thus, 400 cupcakes will be sold by the bakery on that day if the percentage of total sales is 12%.
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An Analyst wants to know if there was a significant difference in the average of hours worked in a week from 2000 (Group 1) to 2004 (Group 2). He gathers all the data from the General Social Survey, and lists the following summary statistics from the sampling.
Year 2000 2004
Mean 27.34 48.12
Std. Dev 10.11 19.23
Unweighted n 43 54
Required:
What is the correct null hypothesis?
Answer:
H0 : μ2004 - μ2000 = 0
Step-by-step explanation:
Given the data:
Year ________: 2000 ___ 2004
Mean ________ 27.34 ___ 48.12
Std. Dev _______10.11 ____ 19.23
Unweighted n 43 54
The hypothesis is to test if there was a significant difference in the average number of hours worked in a week from 2000 to 2004 ;
Hence, the null hypothesis will negate the hypothesis, that is there is no difference in the average hours worked in a week from 2000 to 2004
Null hypothesis ; H0 : μ2 - μ1 = 0
Alternative hypothesis ; H1 : μ2 - μ1 ≠ 0
Null hypothesis suggest that there is no significant relationship exist in the given set of single observed variable.. As the null hypothesis negate the hypothesis. Hence the difference is zero and hypothesis for the given problem is,
[tex]H_0; (\mu_1-\mu_2)=0[/tex]
[tex]H_a; (\mu_1-\mu_2)\neq 0[/tex]
Given information-For year 2000 2004
Mean 27.34 48.12
Standard Deviation 10.11 19.23
Unweighted n 43 54
Null hypothesis
Null hypothesis suggest that there is no significant relationship exist in the given set of single observed variable.
Now the Analyst want to know if there was a significant difference in the average of hours worked in a week from year 2000 to 2004.
To detect a difference (if there it is) between the average of hours worked in a week from 2000 to 2000, it should be test the null hypothesis that there is no difference between the means against the alternative hypothesis. Therefore,
[tex]H_0; (\mu_1-\mu_2)=D_0=0[/tex]
Versus
[tex]H_a; (\mu_1-\mu_2)\neq 0[/tex]
As the null hypothesis negate the hypothesis. Hence the difference is zero and hypothesis for the given problem is,
[tex]H_0; (\mu_1-\mu_2)=0[/tex]
[tex]H_a; (\mu_1-\mu_2)\neq 0[/tex]
learn more about the null hypothesis here;
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The bottom one gghhggguffjgjtj
Answer:
the awnser should be. 3/4
Can you please move the question to the side I can't really see it all and that makes it hard to answer
The dimensions of a rectangle are √50a^3b^2 and √200a^3. What is the students error?
Answer:
The student incorrectly simplified [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] .
Thus, option D is correct.
Step-by-step explanation:
The formula to determine the Perimeter of a rectangle of width w and length l is expressed as:
[tex]P = 2l + 2w[/tex]
In other words, the perimeter can be determined by multiplying the length and width by 2 and adding the result.
In our case, the dimensions of a rectangle are [tex]\sqrt{50a^3b^2}[/tex] and [tex]\sqrt{200a^3}\:\:[/tex].
Here is the student's solution:
[tex]2\sqrt{50a^3b^2}+2\sqrt{200a^3}=2\cdot 5ab\sqrt{2a}+2\cdot 10a\sqrt{2a}[/tex]
[tex]=10ab\sqrt{2a}+20a\sqrt{2a}[/tex]
[tex]=30ab\sqrt{2a}[/tex]
The student made an error in calculating [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] , because [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] are not like terms.
Hence, [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] can not be simplified to [tex]30ab\sqrt{2a}[/tex]
Therefore, the student incorrectly simplified [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] .
Thus, option D is correct.
Here is the correct Solution:
[tex]2\sqrt{50a^3b^2}+2\sqrt{200a^3}=2\cdot 5ab\sqrt{2a}+2\cdot 10a\sqrt{2a}[/tex]
[tex]=10ab\sqrt{2a}+20a\sqrt{2a}[/tex]
Answer:
D. The student incorrectly simplified 10ab sqrt2a+ 20a sqrt2a
Step-by-step explanation:
Just did it.
Determine which of the given procedures describe a binomial distribution. Select one: A. Record the number of ear piercings in a group of 30 randomly selected college students. B. Observing that five out of the next ten customers at a hotdog stand order hot peppers given that the probability of ordering hot peppers is 0.18. C. Surveying customers leaving a hardware store until a customer responds that he or she spent more than fifty dollars.
Answer:
B. Observing that five out of the next ten customers at a hotdog stand order hot peppers given that the probability of ordering hot peppers is 0.18.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Option A:
No, since it is not the probability, or percentage of students that have ear pircings, it is the number, which can assume values larger than 1.
Option B:
Yes, since it is a probability, each customer is independent of other customers, and in each trial, there are only two possible outcomes. This is the correct answer.
Option C:
No, this is called inverse binomial, as we want to find the number of customers until one does something, not the probability of a number of customers doing something.
Gianna had a canister with 6 1/2 pounds of sugar. She used 2 3/4 pounds of sugar to make cookies. How much sugar is left in the canister?
A. 3 3/4
B. 4 1/4
C. 4 3/4
D. 17 7/8
2. Las dimensiones de una caja de bombones son de 12.5 cm
de largo, 6.3 cm de ancho y 6 cm de alto. ¿Cual es el
volumen de la caja de bombones?
Answer:
creo que puede ser 24.8 siiiiiiii eso puede ser
what the answer to this 7(3 + b)
Answer:
21 + 7b
Step-by-step explanation:
We have the expression 7(3 + b) and are being asked the answer.
Our expression has a number out of a certain parenthesis, when this occurs, this means that we must distribute the number outside the parenthesis to the numbers inside. Do as following :
7(3 + b)
(7(3) + 7(b))
21 + 7b
(I am unsure on whether you forgot the "= 0" at the end, if you did please tell me in the comment section and I will change my answer.)
There are 22 students in your class. Your teacher is going to choose 2 students at random for a prize. What is the probability that it will be you and your best friend that is in the class?
A. 36
B. 70
C. 1/462
D. 6(4X+3Y-2)
E. 18.75
F. 23.36
G. 2.54
H. 36.3
I. 6(4X-3Y+2)
Answer:
C) 1 / 462
Step-by-step explanation:
22 x 21 = 462
. Which of the following situations is best represented by the equation y = x + 15?
1 Each student begins the candy hunt with 15 pieces of candy in their bag.
2 Emery earns $15 per hour babysitting.
3 Joshua spent $15 of his money at the movie theatre.
4 Each homeroom class has at least 15 students.
Step-by-step explanation:
= 30 djdjsbdjdbdbdu djsjsbs
I say that A best represents the equation.
The reason I say this is because the equation (y= x + 15) can be explained like this.
y= Total amount of candy (in this case since it's based on A)
x= Amount found (normally would be called earned)
15= starting amount (aka initial value)
So since each student started with 15 you would add that on to X= the total amount found. Then after that the total value (y) would have been represented by the equation X + 15.
All in all A best represents the equation Y= X + 15.
Hope this helps.
。 . . 。 ඞ ඞ ඞ ඞ ඞ ඞ ඞ 。 . • . [Northstar] was ejected. . . 。 . 。 ﾟ . . , . . .. 。 • ﾟ 。 . . . 。。 • ﾟ 。 . . . 。。 • ﾟ 。 . . . 。。 • ﾟ 。 . . . 。
PLEASE HELP ME!!!!!
Amelia is going to invest $90,000 and leave it in an account for 12 years. Assuming the interest is compounded monthly, what interest rate, , would be required in order for Amelia to end up with $144,000?
Answer:
3.92%
Step-by-step explanation:
You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night. (a) Find a linear demand equation showing the number of guests q per night as a function of the cover charge p.
Answer:
[tex]q = -6p + 104[/tex]
Step-by-step explanation:
Linear function:
A linear function has the following format:
[tex]q = mp + b[/tex]
In which m is the slope and b is the q-intercept.
One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night.
This means that we have these following points: (4,80), (10,44).
Finding the slope:
With a pair of points, the slope is given by the change in q divided by the change in p.
Change in q: 44 - 80 = -36
Change in p: 10 - 4 = 6
Slope: [tex]m = \frac{-36}{6} = -6[/tex]
So
[tex]q = -6p + b[/tex]
Finding b:
We replace one of the points. Replacing (4,80).
[tex]q = -6p + b[/tex]
[tex]80 = -6*4 + b[/tex]
[tex]b = 104[/tex]
So
[tex]q = -6p + 104[/tex]
An airplane is flying at an altitude of 1000 m. From the plane, the angle of depression to the base of a tree on the ground is measured at 15°. What is the distance from the plane to the base of the tree, rounded to the nearest 10th of a meter?
Answer:
im just trying to get points im sorry
Step-by-step explanation:
Kevin made 4 of his 6 shots on goal at soccer practice.
If he continues to shoot in the same manner throughout the
practice, how many shots would he make out of 72?
Answer:
48
Step-by-step explanation:
4/6 = 2/3
2/3 times 72 = 48
What is the slope of the line that passes through the points (-6, -7) and
(-24. - 7)? Write your answer in simplest form.
Answer:
-18/0 or 0
Step-by-step explanation:
6. What is the measure of angle 7? (answer with the number only; not the
degree sign) *
Answer:
65
Step-by-step explanation:
because 5 and 7 are the same angle that means the opposite of the 65 has to also be 65
4 If 100 ipods are produced the cost is $102,500 and if 2000 ipods are produced the cost is $150,000. Find
the production cost per ipod. Write a linear equation. What is the cost to produce 500 ipods?
Answer:
512,500
Step-by-step explanation:
answer my question instead of saying shut up mia
the quotient of a number m and 4
Answer:
m/4
Step-by-step explanation:
Answer:
m/4
Step-by-step explanation:
A quotient is the result of division, so when you divide m by 4, you get m/4
what does math means
Answer:
It means mathematics.
Lamoo thats wht it said in go-ogle
Step-by-step explanation:
How many terms will be in the expansion of (x-8y)^10?
There will be 10 – 1 = 9 terms in the expansion.
There will be 10 x 1 = 10 terms in the expansion.
There will be 10 + 1 = 10 terms in the expansion.
There will be 10 divided 1 = 11 terms in the expansion.
NEED THIS ASAP
Answer:
Step-by-step explanation:
There will be 10+1 = 11 terms in the expansion.
if you only have 14 packs of Fire Works and my 3 friends and I sent them off how many packs does each of us get if we share them equally
Answer:
4.66
Step-by-step explanation:
14 / 3 = x
4.66 = x
Answer:
So a whole number answer would be 3 per person with a remainder of 2.
or
It would be a mixed number and be 3 1/2 per person.
Step-by-step explanation:
Well you and your 3 friends are 4 people total.
4 is not a multiple of 14 so if you want to share equally youll have some leftover cause im assuming the answer must be a whole number and not a decimal.
But the most you and your friends can share equally is 3 per person. Since 4 people with 3 packs each (4 x 3) is 12 packs total with 2 packs leftover.
If you want to split these packs among the 4 of you, you can do 4/2 to get 1/2 a pack for each of you guys to share.
So a whole number answer would be 3 per person with a remainder of 2.
or
It would be a mixed number and be 3 1/2 per person.
Hope this helps!
If you need any further help or questions comment or message me!
. At 9 am on a regular school day, there are 35 students in the library. If for every 30 minutes,
5 students will leave, but 2 students will come, at what time will there be no more students in
the library?
Answer:
360 minutes or In 6 hours.
Step-by-step explanation:
Can someone please help me
I’m not good at math and I need to multiply this
135
x 62
Which graph represents the solution set of the inequality Negative 14.5 less-than x?
A number line going from negative 15 to negative 11. An open circle is at negative 13.5. Everything to the right of the circle is shaded.
A number line going from negative 15 to negative 11. A closed circle is at negative 14. Everything to the right of the circle is shaded.
A number line going from negative 15 to negative 11. An open circle is at negative 14.5. Everything to the right of the circle is shaded.
A number line going from negative 15 to negative 11. A closed circle is at negative 15. Everything to the right of the circle is shaded.
Answer:
Step-by-step explanation:
The third graph.
Answer:
the 3rd one
Step-by-step explanation:
−3.64⋅|−5.3|−1.5^3
help pls
Answer:
5
Step-by-step explanation:
its 45
Answer:
-22.667
Step-by-step explanation:
-3.64(5.3) - (1.5)³
-19.292 - 3.375 = -22.667
Which property is used in the first step to solve this equation
4(x-6)=5
4x-24 = 5
4x= 29
x=29/4
Answer:
Distributive property
Step-by-step explanation:
Negative fourty-eight and fifteenth thousand in decimal form
Answer:
-48.015
Step-by-step explanation
Classify the equation as a conditional equation, an identity, or a contradiction. 4x+5x−15=9x−10−5
Answer:
Identity
Step-by-step explanation:
Conditional equation, an identity, or a contradiction.
Conditional equation: Two sides are equal for some value of x.
Identity: Two sides are equal for every value of x.
Contradiction: We have 0x = number that is not 0.
4x+5x−15=9x−10−5
Lets solve
[tex]4x + 5x - 15 = 9x - 10 - 5[/tex]
[tex]9x - 15 = 9x - 15[/tex]
Equal on both sides, so identity.
Answer:
conditional equation
Step-by-step explanation:
Collecting terms on both sides, we get
−4+3x−5x−2x−4=−1−10+x=x−11
Subtracting x and adding 4 to both sides of the equation, we get
−3x=−7
This can be solved by dividing by −3 on both sides of the equation, which gives a unique solution of 73. So, this is a conditional equation.
find the missing number in this proportion.
[tex] \frac{48}{80} = \frac{6}{?} [/tex]
Ben and Corinne are filling goodie bags for a party. Each goodie bag needs an eraser, a bubble wand, and a few candy bar bites. Ben filled 25 goodie bags in 20 minutes. Corinne filled 27 goodie bags in 24 minutes. Who filled goodie bags at a faster pace?
Answer:
Ben
Step-by-step explanation:
Corinne is slower
Answer:
GDAY MATES Its ben
Step-by-step explanation:
i did the test ~your friendly aussie~
The length of a rectangular rug is 4 less than twice its width. The perimeter of the rug is 40 feet. What is the area of the rug?
1) 96 sq ft
2) 56 sq ft
3) 104 sq ft
4) 86 sq ft
Answer:
96 sq ft
Step-by-step explanation:
Ok so if the width of the rectangle rug is 12 ft then you have to do 12*2-2 which is 8. A rectangle with these dimensions has a perimiter of 40 and an area of 96. (Double check to make sure I'm correct)
