Four friends made 55 cupcakes and shared them equally.
How many cupcakes did each friend get?
Out of the 55 cupcakes shared equally among four friends each friend will have 13 cupcakes.
What is the unitary method?A unitary method is a mathematical technique for finding the value of a single unit and then deriving the required units by multiplying with the single unit.
To find how many cupcakes each friend gets we can use the unitary method.
Given four friends made 55 cupcakes, therefore each friend can have (55/4) = 13.75 cupcakes, But the no. of cupcakes should be integers.
∴ Each friend can have 13 cupcakes.
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The sum of three integers is 92. The second number is three times the first number. The third number is ten less than
twice the first number. Find the integers.
16+y/8=25. solve. and explain.
Answer:
184
Step-by-step explanation:
16+y/8 =25
16+y=25 X 8
16 + y =200
y=200-16
y = 184
Baby weights: The weight of male babies less than 2 months old in the United States is normally distributed with mean 11.8 pounds and standard deviation 3.1 pounds. Use the TI-84 Plus calculator to answer the following. (a) What proportion of babies weigh more than 13 pounds? (b) What proportion of babies weigh less than 14 pounds? (c) What proportion of babies weigh between 11 and 15.8 pounds? (d) Is it unusual for a baby to weigh more than 18 pounds? Round the answers to four decimal places.
Answer:
(a)0.3493
(b) 0.7611
(c) 0.5034
(d) No it is not unusual
Step-by-step explanation:
Using the TI-84 Plus calculator to answer the following
The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Mean 11.8 pounds and Standard deviation 3.1 pounds.
(a) What proportion of babies weigh more than 13 pounds?
z = (x-μ)/σ
= 13 - 11.8/3.1
= 0.3871
Probability value from Z-Table:
P(x<13) = 0.65066
P(x>13) = 1 - P(x<13) = 0.34934
The proportion of babies weigh more than 13 pounds is 0.3493
(b) What proportion of babies weigh less than 14 pounds?
z = (x-μ)/σ
= 14 - 11.8/3.1
= 0.70968
Probability value from Z-Table:
P(x<14) = 0.76105
The proportion of babies weigh less than 14 pounds is 0.7611
(c) What proportion of babies weigh between 11 and 15.8 pounds?
For x = 11
z = (x-μ)/σ
= 11 - 11.8/3.1
= -0.25806
Probability value from Z-Table:
P(x = 11) = 0.39818
For x = 15.8
z = (x-μ)/σ
= 15.8 - 11.8/3.1
= 1.29032
Probability value from Z-Table:
P(x = 15.8) = 0.90153
The proportion of babies weigh between 11 and 15.8 pounds
P(x = 15.8) - P(x = 11)
= 0.90153 - 0.39818
= 0.50335
≈ 4 decimal places = 0.5034
(d) Is it unusual for a baby to weigh more than 18 pounds?
z = (x-μ)/σ
= 18 - 11.8/3.1
= 2
Probability value from Z-Table:
P(x≤ 18) = P(x = 18) =
0.97725
No it is not unusual to have a Weight of 18 pounds
Round the answers to four decimal places.
(a) The proportion of babies weigh more than 13 pounds is 0.3493.
(b) The proportion of babies weigh less than 14 pounds is 0.7611.
(c) The proportion of babies weigh between 11 and 15.8 pounds is 0.5034.
(d) No, it is not unusual.
"To understand the calculation, check below."
ProbabilityFormula:
z = (x-μ)/σ,
x is the raw score.
μ is the population mean.
σ is the population standard deviation.
Mean = 11.8 pounds
Standard deviation =3.1 pounds.
Part (a) :
The proportion of babies weigh more than 13 pounds is :
z = (x-μ)/σ
z = 13 - 11.8/3.1
z = 0.3871
Probability value from Z-Table:
P(x<13) = 0.65066
P(x>13) = 1 - P(x<13) = 0.34934
The proportion of babies weigh more than 13 pounds is 0.3493
Part (b):
The proportion of babies weigh less than 14 pounds is :
z = (x-μ)/σ
z= 14 - 11.8/3.1
z= 0.70968
Probability value from Z-Table:
P(x<14) = 0.76105
The proportion of babies weigh less than 14 pounds is 0.7611.
Part (c):
The proportion of babies weigh between 11 and 15.8 pounds is :
For x = 11
z = (x-μ)/σ
z= 11 - 11.8/3.1
z= -0.25806
Probability value from Z-Table:
P(x = 11) = 0.39818
For x = 15.8
z = (x-μ)/σ
z= 15.8 - 11.8/3.1
z= 1.29032
Probability value from Z-Table:
P(x = 15.8) = 0.90153
The proportion of babies weigh between 11 and 15.8 pounds:
P(x = 15.8) - P(x = 11)
= 0.90153 - 0.39818
= 0.50335
≈ 4 decimal places = 0.5034
Part (d) :
Is it unusual for a baby to weigh more than 18 pounds :
z = (x-μ)/σ
z = 18 - 11.8/3.1
z = 2
Probability value from Z-Table:
P(x≤ 18) = P(x = 18) =0.97725
No, it is not unusual to have a Weight of 18 pounds.
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GIVING 25 POINTS PLEASE ANSWER
Fix the error in the algebraic expression to the translation below.
One less than twice a number translates to x² - 1
Answer:
2x - 1
Step-by-step explanation:
PLEASE HELP ME FAST
1. Given the diagram to the right and information below, determine which lines, if any are parallel. State the converse that justifies your answer
Answer:
Step-by-step explanation:
Given Parallel lines Converse
a). ∠13 ≅ ∠17 a║c Corresponding angles
b). ∠4 ≅ ∠9 b║e Exterior alternate angles
c). m∠19 + m∠22 = 180° a║b Same side exterior angles
d). ∠8 ≅ ∠19 Vertical angles.
e). ∠10 ≅ ∠23 b║c Alternate angles
f). m∠14 + m∠17 = 180° a║c Same side Interior angles
Which question is different?
Solve for n: 12nl-4=8
Answer:
Step-by-step explanation:
12nl-4=8 start by adding 4 to both sides.
12nl=12/l Divide both sides by l.
12n=12 then divide both sides by 12.
n=1/l
I don't understand this question can you help me pls?
Answer:
the answer for the number of stickers in all 4 boxes is 1200.
Step-by-step explanation:
there are 100 stickers in each roll and a box has 3 rolls. There are 12 rolls in total so you would do 100 X 12 which is 1200.
which expression is represented by the diagram? O-6-(-4) O -6-4 O -10-4 O -10-(-4)
Answer is -10 -4 your welcom
What is a solution of 3(x + 4) - x > 4?
A. -6
B. -5
C. -4
D. -3
(Please help I don’t understand)
Answer: -4 Please mark brainliest if I am right :D
Step-by-step explanation:
Let's solve your inequality step-by-step.
3(x+4)−x>4
Step 1: Simplify both sides of the inequality.
2x+12>4
Step 2: Subtract 12 from both sides.
2x+12−12>4−12
2x>−8
Step 3: Divide both sides by 2.
2x/2 > -8/2
x>−4
Answer:
x>−4
Answer:
C.-4
Step-by-step explanation:
3(x)+3(4)-x>4
3x+12-x>4
2x>-8
2x/2>-8/2
x>-4
evaluate the exponent 4 the power of 3
1. 12
2. 81
3. 7
4. 64
________________________________
ps I said 4 to the power of because I put a tiny 3 next to the 4
Answer:
64 or 81
Step-by-step explanation:
If it is 4^3 it would be 4*4*4=64
If it is 3^4 it would be 3*3*3*3=81
(I don't know which one your asking about so I put both)
3.
Name the image
Line
Line segment
Ray angle
Answer:
ray
Step-by-step explanation:
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answer: 2/5 = 40%
Step-by-step explanation: 2/5 5 (divided) by 25 = 40%
Answer:
40%
2/5 are shaded and if you divide 5 by 2 and add a decimal, and change it into a percent, you get 40%
Please help meeeeeee!!!!!! 4th time posting this
Answer:
70 cds in 2022
Step-by-step explanation:
each year number of dvds being sold is decreasing by 15. In 2010, it was 250. 5 years later, it was 175.
250-175=75.
75/5=15.
15x7=105.
175-105=70.
in 2010 it was 250 and 250+150=400.
in 2000, it was y=400-15x
Tii
MULTIPLE CHOICE QUESTION
Write the inequality.
A number c is less than -4.
c>-4
C-4
c<-4
CS-4
Answer:
choice c : c<-4
Step-by-step explanation:
the word less than means <
What is 1.03333... (3 repeating) as a fraction?
Answer:
1033
1000
Step-by-step explanation:
Multiple the numerator and the denominator both by 10 for every number that follows the decimal point
1.033 x 1000 = 1033
1 x 1000 1000
Jenna buys water from a store which allows you to bring your own containers of water and fill them up. The only catch is that you must honestly type into the store's computer how many gallons of water you took in total, written as a decimal, and then pay the amount the computer indicates.
Today, Jenna takes four containers with her. The first has a 3/4 gallon capacity, the second has a 1/8 gallon capacity, the third has a 4/5 gallon capacity, and the fourth has a 17/125 gallon capacity. She fills up all of the containers with water. What decimal should Jenna type into the computer?
Answer:
1.811
Step-by-step explanation:
To get the decimal Jenna should type into the computer you simply have to get the decimal value of each fraction and add them all together.
[tex]\frac{3}{4}=.75[/tex]
[tex]\frac{1}{8} =.125[/tex]
[tex]\frac{4}{5}=.8[/tex]
[tex]\frac{17}{125}=.136[/tex]
Then just add all the decimals together.
Rename 7/12 and 1/8 using the least common denominator Please help
Answer:
14/24 and 3/24
Step-by-step explanation:
The LCM is 24, so divide the denominator by the LCM, and thats the number you multiply the numerator by
Peter has a part time job in factory and he can work 6 1/2 hours a day while his friend Joseph can work 1 2/3 hours more than Peter.how many hours can Joseph work more than Peter?
Given parameters:
Number of hours worked by Peter = 6.5hrs
His friend Joseph works [tex]1\frac{2}{3}[/tex] hours more than Peter;
Unknown:
Number of hours Joseph can work more than Peter = ?
This problem is pretty straight forward.
We see from the given parameters, it was explicitly stated that Joseph, the friend of Peter works [tex]1\frac{2}{3}[/tex] more hours .
Therefore, Peter's friend worked [tex]1\frac{2}{3}[/tex] more hours.
1.32/0.12 with working please
Answer:
11
Step-by-step explanation:
There is no working you literally just divide
Answer:
11
Step-by-step explanation:
Seed are often treated with fungicides to protect them in poor draining, wet environments. A small-scale trial, involving five treated and five untreated seeds, was conducted prior to a large-scale experiment to explore how much fungicide to apply. The seeds were planted in wet soil, and the number of emerging plants were counted. If the solution was not effective and four plants actually sprouted, what is the probability that a b c all four plants emerged from treated seeds
Answer:
2.38%
Step-by-step explanation:
Given that:
The population size involving numbers of treated and untreated seeds N = 10
the number of seeds that are treated which are observed = 5
the number of seeds that sprouted 'n' = 4
Now, use the method of hypergeometric probability, we have the formula:
[tex]p(y) = \dfrac{(^r_y)(^{N-r}_{n-y})}{(^N_n)}[/tex]
∴
[tex]p(4) = \dfrac{(^5_4)(^{5}_{0})}{(^{10}_4)}[/tex]
[tex]p(4) = \dfrac{\dfrac{5!}{4!(5-4)!}* \dfrac{5!}{0!(5-0)!} }{\dfrac{10!}{4!(10-4)!} }[/tex]
[tex]p(4) = \dfrac{\dfrac{5!}{4!}* \dfrac{5!}{(5)!} }{\dfrac{10!}{4!(6)!} }[/tex]
[tex]p(4) = \dfrac{5*1 }{210}[/tex]
p(4) = 0.0238
p(4) = 2.38%
Can somebody help me find the perimeter of this figure?
Answer:
I'm not exactly sure but
try 36inches??
Answer:
your answer is 36 inches.
Step-by-step explanation:
Okay, so you see how the 8 in has one dash. So you see how many one dashes there are and you have 2 so then you add that together and you get 16. Same thing with the 5in you have 4 two dashes. So then you add 16+20 and get 36.
Mark me brainliest pLZ!!!!!!
A study took a random sample often married couples, and asked the husband's and wife's age. The scatterplot shows the association between the ages of the husbands and wives. Not surprisingly, older husbands tend to have older wives, so the data has a positive linear association. A researcher finds that the least squares regression equation for this relationship is ŷ= 0.89 x + 2.62.
Suppose you interview a married man who has lived to the ripe old age of 100, and still married to his wife. using the least squares regression equation, predict his wife's age.
A. 100
B. 89
C. 91.62
D. 86.38
—my answer is option (c.) 91.62
Any reviews would be much appreciated...
How do you do this question?
Answer:
D and E
Step-by-step explanation:
y = (x + 1)²
If x = t + 1, then y = (t + 1 + 1)² = t² + 4t + 4.
If x = e²ᵗ + 1, then y = (e²ᵗ + 1 + 1)² = e⁴ᵗ + 4e²ᵗ + 4.
If x = cos t, then y = (cos t + 1)² = cos²t + 2 cos t + 1.
If x = t − 1, then y = (t − 1 + 1)² = t².
If x = t, then y = (t + 1)² = t² + 2t + 1.
A researcher is exploring the notion that there is an economy of scale in raising children. While having one child might add to a family's financial stress, the second or third one might not be as "expensive" since they would already be sharing one roof, could share clothing, etc. The researcher has access to a large community of parents where 15% have one child under 18 in their home, 65% of parents have two children, and 20% of parents have three or more children. Rounded to the nearest whole number, the probability that any given family who is selected has two or more children at home is ________ %?
Answer:
The probability is [tex]G = 85% [/tex]
Step-by-step explanation:
From the question we are told that
The percentage of parents that have one child under 18 in their homes is k = 15%
The percentage of parents that have two children is T = 65%
The percentage of parents that have three or more children is Y = 20%
Generally the probability that any given family who is selected have two or more children at home is mathematically evaluated as
[tex]G = T + Y[/tex]
=> [tex]G = 65% + 20% [/tex]
=> [tex]G = 85% [/tex]
please help! Will mark you as BRAINLIEST!!!!!
Answer:
2x²-2x+5y doing the math reply if you need explanations
A school has a total of 900 pupils 400 are boys the rest are girls. What's the ratio of boys to girls? .
Answer:
it should be 4:5 I hope that helps
a square as an area of 144m 2 squared what is the length of each side
Answer:
12
Step-by-step explanation:
To find the area of a square, you have to square a side length. Squaring a number is the same as multiplying a number by itself.
12 x 12 = 144
How do you do this question?
For A to B, or segment AB, we have the points (1,1) and (4,3). (x1, y1) = (1,1) and (x2, y2) = (4,3);
x = 1 + t(4 - 1)
y = 1 + t(3 - 1)
A to B => (x = 1 + 3t, y = 1 + 2t)
We can apply a similar process for BC and AC. For BC we have (x1, y1) = (4,3) and (x2,y2) = (1,7);
x = 4 + t(1 - 4)
y = 3 + t(7 - 3)
B to C => (x = 4 - 3t, y = 3 + 4t)
(x1, y1) = (1, 1) and (x2, y2) = (1, 7);
x = 1 + t(1 - 1)
y = 1 + t(7 - 1)
A to C => (x = 1, y = 1 + 6t)
Here is your graph of the triangle. Desmos is a really great tool to use;