If a crate of 250 apples costs $95, what is the unit cost
The unit cost of an apple in a crate of 250 apples is $2.63.
Given the following data:
Total number of apples in a crate = 250 applesCost of a crate of apple = $95To determine the unit cost of an apple:
In this exercise, you're required to calculate the cost of one apple in a crate, knowing that there are 250 apples in total at a cost of $95.
Thus, we would divide the total number of apples by the total cost of all the apples as follows:
[tex]Unit\;cost = \frac{Total\;apples}{Total\;cost}[/tex]
Substituting the given parameters into the formula, we have;
[tex]Unit\;cost = \frac{250}{95}[/tex]
Unit cost = $2.63
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During a hurricane in Central Florida, the amount of rainfall R, in centimeters, is a function of time. Let R = f(t) define the amount of rain recorded by meteorologists beginning at midnight. Give an interpretation of the statements below, using the appropriate units.
A. (6) = 4.8
B. f'(6)=0.5
C. f(-1)(5) = 14
D. f(-1)'(5) = 1.5
The amount of rainfall is an illustration of inverse functions, and rates.
The function is given as: R = f(t)
(a) Interpret f(6) = 4.8
This means that:
The amount of rainfall at 6 seconds is 4.8 cm
(b) Interpret f'(6) = 0.5
f'(6) represents the rate of the function
So, this means that:
The rate at which rain falls at 6 seconds is 0.5 cm per second
(c) Interpret f^-1(5) = 14
f^-1(6) represents the inverse function
So, this means that:
The time at which 5 cm of rain falls, is 14 seconds
(d) Interpret f^-1'(5) = 1.5
f^-1'(5) represents the rate of the inverse function
So, this means that:
The rate of time when 5 cm of rain falls is 1.5 seconds per cm
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How to factor out a polynomial with a 3rd degree.
Answer:
How to factor out a polynomial with a 3rd degree-• well here is a For example, let G(x) = 7x³ – 125. Then factoring this third degree polynomial relieve on a differences of cubes as follows: (2x – 5) (4x² + 20x + 25), where ²x is the cube-root of 8x³ and 5 is the cube-root of 1256
Answer:
long division is probably the simplest method of finding out the factors
Step-by-step explanation:
For example, let G(x) = 8x³ – 125. Then factoring this third degree polynomial relies on a difference of cubes as follows: (2x – 5) (4x² + 10x + 25), where 2x is the cube-root of 8x³ and 5 is the cube-root of 125. Because 4x² + 10x + 25 is prime, you are done factoring.
What is 2 3/8 - 1 5/8 =
2 3/8 - 1 5/8
19/8 - 13/8
6/8
3/4
The answer is 3/4
Sub 2 Raging Sushi plz
Answer:
3/4
Step-by-step explanation:
HELP PLS
Answer:
the anser is the first one
(1/2)power 5=?? please help with this one
Answer:
2.2360679774998
Step-by-step explanation:
Please help with this other question
Answer:
pink and green same shape, but pink 7 units lower than green
Step-by-step explanation:
Both f(x) and f'(x) equations are the same except that f'(x) has the term "-7" at the end, denoting that the whole graph has been shifted down by 7 units. In other words, there is a vertical translation by -7. And since f'(x) is the pink graph, choose the option in which green and pink have the exact same shape but pink is located 7 units lower than the green.
What is the slope of the line that has a y-intercept of (0, 6) and passes through the point (2, 8)?
m= ?
Answer:
m=1
Step-by-step explanation:
[tex]m=\frac{8-6}{2-0} =\frac{2}{2} =1[/tex]
I hope this help you
What is a variable in the expression below?
12+2.6z-2
A) z
B) 2.6
C) -2
A variable is a letter in the equation that can be replaced by a number.
In the equation shown the variable is the letter z.
Answer: A) z
(Note: a research study on coniferous trees of the American West
may sound really boring, but sometimes you might get to climb one
Scientists studying beetle infections on in Western forests discover
that in one particular region called Doug's Backyard, the number of
trees with beetle infestations seems lower than the surrounding
area. In the entire forest they're studying, the rate of severe beetle
infestations is about 0.07 (7%) of the trees, but in a sample of trees
from Doug's Backyard, they found just 0.035 (3.5%) of the trees to
be infested. Based on their statistical calculations, the likelihood that
their sample is just an accident -- that is, that the trees from Doug's
Backyard are actually infested at the same rate as the whole region -
- is 0.003, so they deem their results significant
In this story problem:
• p = 0.07
• Ô
[Select)
• Po =
[ Select)
• The p-value
[Select]
Answer:
p = 0.07
p-hat = 0.035
p0 = 0.07
p-value = 0.003
Step-by-step explanation:
p = population parameter, in this case, the rate of infestations across all trees in the forest
p-hat = test statistic, in this case, the rate of infestations found in the sample of trees, i.e. those in Doug's backyard
p0 = the null hypothesis, in this case, the rate of infestations within the forest is correctly evaluated at 0.07 or 7%
p-value = the likelihood any difference between p and p-hat is down to chance
In this case 0.003 as the p-value means there is only 0.3% probability of our statistic value of 0.035 being down to variability and chance meaning it is 99.7% likely that there is some reason behind this difference;
We would accept the alternative hypothesis which says the current parameter value, 0.07, is in fact incorrect (either too high or too low, in this case, likely too high).
It’s for pre college
Answer:
Not a function
Step-by-step explanation:
Carpet sells for $3 per square foot and will cost you $675 to recarpet your rectangular room. If your room is 15 feet long, how many feet wide is it?
a) 15 - 4 X 6 + 30 - 5
Answer:
16
Step-by-step explanation:
15 – 24 +30 – 5
–9+25
= 16
Answer:
16
Step-by-step explanation:
(Remember to always use order of operations or "PEMDAS")
First do 4 × 6 = 24, then subtract 24 from the 15 to get -9. Now add -9 to 30 to get 21. Finally, subtract 5 from 21 to get 16.
Hope this helps you :)
Please take a look at the picture
Answer:
A) -3/-11
Step-by-step explanation:
-3/-11-3/11
-3/-11
Reduce the fraction with -1.
3/11
Hope this help :)
What is the slope of the line through (-3, 3) and (-1,-1)?
2
(1-1)
O A. 2
O B.-2
O c.
OD. -
A network provider investigates the load of its network. The number of concurrent users is recorded at fifty locations (thousands of people), These data are available in data set ConcurrentUsers.
17.2 22.1 18.5 17.2 18.6 14.8 21.7 24.1 13.3 16.2
17.5 19.0 23.9 14.8 13.5 15.8 13.1 16.1 21.9 23.9
19.3 15.4 16.7 19.5 16.2 16.9 17.1 20.2 19.7 18.7
17.6 15.9 15.2 17.1 15.0 15.8 16.3 22.8 22.2 21.7
20.7 12.0 19.9 19.4 13.4 19.8 17.7 18.8 21.6 11.9
(a) Compute the sample mean, variance, and standard deviation of the number of concurrent users.
(b) Estimate the standard error of the sample mean.
(c) Compute the five-point summary and construct a boxplot.
(d) Compute the interquartile range. Are there any outliers?
(e) It is reported that the number of concurrent users follows approximately Normal distribution. Does the histogram support this claim?
Since there is no number greater or less than the above one, it doesn't contain any outlier.
The given data set is
17.2 22.1 18.5 17.2 18.6 14.8 21.7 24.1 13.3 16.2
17.5 19.0 23.9 14.8 13.5 15.8 13.1 16.1 21.9 23.9
19.3 15.4 16.7 19.5 16.2 16.9 17.1 20.2 19.7 18.7
17.6 15.9 15.2 17.1 15.0 15.8 16.3 22.8 22.2 21.7
20.7 12.0 19.9 19.4 13.4 19.8 17.7 18.8 21.6 11.9
What is variance?The variance is a measure of variability. It is calculated by taking the average of squared deviations from the mean. Variance tells you the degree of spread in your data set. The more spread the data, the larger the variance is in relation to the mean.
(a) Sample Mean = The Sum of the given terms/Number of terms
So, sample mean as µ=17.954
Variance can be denoted by [tex]s^2= \frac{1}{50-1} \Sigma_{n=1} (x_{i}-19.954)^2[/tex]
=9.97
Standard deviation s=√9.97
=3.16
b) The standard error can be denoted by:
s/√n-1 = 3.16/√49
=0.45
c) For the given data,
The value of the least sample number =12.0
The value of the greatest number in sample=24.1
So, Q1=15.83
Median =17.75
Q3=19.88
d) The IQ range would be as follows:
Q3-Q1=19.88-17.75
=4.05
The outlier must be greater than 19.88+1.5(4.05)=25.96 or less than 15.83+1.5(4.05)=9.76.
Since there is no number greater or less than the above one, it doesn't contain any outlier.
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Cute Castle Toy Store is having its annual holiday sale, when every toy in the store gets
marked down. During the sale, Ted purchases 4 Mighty Muscle action figures to add to his
collection, each at $3 less than full price. Ted pays a total of $92. How much does each
Mighty Muscle action figure cost at full price?
Each Mighty Muscle action figure cost $26 at full price.
Let x represent the cost of Mighty Muscle action figure at full price.
He bought 4 Mighty Muscle action at $92, hence:
4(x - 3) = 92
Simplifying the parenthesis:
4x - 12 = 92
Add 12 to both sides:
4x - 12 + 12 = 92 + 12
4x = 104
Dividing both sides by 4:
4x/4 = 104/4
x = 26
Therefore, each Mighty Muscle action figure cost $26 at full price
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Graph this equation on the coordinate plane. y=−4/5x−1
Answer:
I attached an image.
Step-by-step explanation:
Answer:
(X then y)
(0,-1) (5,-5)
Step-by-step explanation:
I did the test
BRAINLIEST TO WHOEVER ANSWERS RIGHT
Answer:
the answer is -1 have a great day!
Step-by-step explanation:
Answer:
its D
D = IStep-by-step explanation:
The powers of i repeat in cycle of 4. For example, here are the first 4:
1: i
2: -1
3: -i
4: 1
If a number is divisible by 4, i to the power of that number would be 1. So, i^20 is 1, but we are multiplying it by i again, so the answer would be 1 * i = i
Got the answer from aklee18oo from brainly give him some credit
The circumference of a circular garden is 72.22 feet. What is the radius of the garden?
Answer:
36.11 feet
Step-by-step explanation:
If the circumfrence goes across the circle, and the radius goed halfway, substitute the measuremants. C/2. So, divide 72.22 by 2 and you get 36.11 feet!
Answer the following:
a) 3-8=
b) -6 -4 =
c) -2 + 6 =
Answer:
a) =5
b) = -10
c) = 4
Step-by-step explanation:
A bedroom is in the shape of a square. The length of the room is 6p7q. What is the area of the bedroom in terms of p and q?
Answer:
(6p7q)²
Step-by-step explanation:
you have to square the length to find the area of a square
The area of the bedroom would be (6p7q)² square units.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
A bedroom is in the shape of a square. The length of the room is 6p7q.
According to the given question, we can write the dimension as:
The width of the room = 6p7q units
The length of the room = 6p7q units
The area of the room = width of the room × length of the room
The area of the room = 6p7q × 6p7q
Apply the multiplication operation,
The area of the room = (6p7q)² square units
Therefore, the area of the room is (6p7q)² square units.
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What is the coefficient in this expression?
3/4mn
4
n
34
3
Since it is the term that multiplies the variables, the coefficient is of [tex]\frac{3}{4}[/tex].
In an algebraic expression, the coefficient is the term that multiplies the variables.
In this problem, the expression is:
[tex]\frac{3}{4}mn[/tex]
The variables are m and n.They are multiplied by [tex]\frac{3}{4}[/tex]Hence, the coefficient is of [tex]\frac{3}{4}[/tex].
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Can someone pls answer this because I only got 30 min with like 25 questions left
Someone who is unable to use a credit card after repeated failures to pay has
had their credit
A. garnished
B. defaulted
C. repossessed
D. suspended
SUBMIT
D. suspended
explanation:
Someone who is unable to use a credit card after repeated failures to pay has had their credit suspended.
Option D is the correct answer.
What is a suspended credit card?Credit card suspension is a temporary measure, and the credit card can usually be reinstated once the account is brought up up-to-date.
We have,
When a person repeatedly fails to make payments on their credit card, their credit card company may suspend their credit card.
This means that the person will not be able to use the credit card until they bring their account up-to-date and pay any outstanding balance or fees.
However, repeated failures to pay can have a negative impact on a person's credit score, which is a measure of their creditworthiness.
If the account remains delinquent, it may eventually lead to default, which is when the lender takes legal action to recover the unpaid debt.
Thus,
Someone who is unable to use a credit card after repeated failures to pay has had their credit suspended.
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135 rational or irrational
Answer:
Rational
Step-by-step explanation:
I hope this helps!
Find the domain of the function.
f(x) = -5x + 3
Answer:
-infinity < x < infinity
Step-by-step explanation:
The function is linear and is infinitely long in either direction.
Please help!!
Choose the definition for the function.
9514 1404 393
Answer:
A. {2x, x<1; (x+5)/2, x≥1}
Step-by-step explanation:
The left side of the graph (x<1) has positive slope and a y-intercept of 0. Only one answer choice matches: choice A.
What is the common difference in the arithmetic sequence 13, 26, 39, 52, 65?
They all have a difference of 13.
So each time 13 is added to get the next number.
Cost in dollars Books Delivered $27.25 4 $39.25 6 $75.25 12 $93.25 15 Mr. Peterson's Book Store delivers to customers after they have purchased. The costs are shown above in the table a. What is the cost per book? b. What is the delivery fee? Solve each proportion
Helpppp pleaseeeee
Answer:
a) cost per book: $6
b) delivery fee: $3.25
Step-by-step explanation:
a)If we assume the cost per book and the delivery fee are constant, then we can find the cost of 2 books by subtracting the cost for 4 books from the cost for 6 books
cost per book = (cost for 6 books - cost for 4 books)/(6 -4)
= ($39.25 -27.25)/2 = $12/2 = $6 . . . . . cost per book
__
b)The delivery charge will be the difference between the delivered cost and the cost of the books. For 4 books, that is ...
delivery charge = $27.25 -4(6.00) = $3.25
_____
Additional comment
The relationship between delivered cost and number of books is not proportional. There are no proportions to solve in this problem.
