A unit rate of 4 deliveries per hour.
What is the rate?Rate is the special ratio in which two different terms are in different units. a number, amount, or degree measured in relation to another object. a payment or charge that is calculated depending on another sum. more specifically: the premium per insurance unit. transitive verb rate.
Given that 16 deliveries are done in 4 hours. from that we can drive no. of deliveries in one hour. let's assume deliveries in one hour is x
For, x per hour = 16/4
x per hour is 4
Therefore the appropriate value for the unit rate of 4 deliveries per hour.
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Which expressions below equal a rational number? Select all that apply.
B. A certain chocolate bar costs $50.00 per piece. However, if you buy more than
5 pieces they will mark down the price to P48.00 per piece. Use a piecewise
function to represent the cost in terms of the number of chocolate bars bought.
Answer:
P(x) = $50.00*x if 0 ≤ x ≤ 5
P(x) = $48.00*x if 5 < x
Step-by-step explanation:
A piecewise function is a function that acts differently in different regions of the domain.
In this case we know that:
P = $50.00 per piece if the number of pieces is less or equal than 5.
P = $48.00 per piece if the number of pieces is more than 5.
Then if we define our variable x as the number of pieces of chocolate, we can write the price function as:
P(x) = $50.00*x if 0 ≤ x ≤ 5
P(x) = $48.00*x if 5 < x
Of the entering class at a college, % attended public high school, % attended private high school, and % were home schooled. Of those who attended public high school, % made the Dean's list, % of those who attended private high school made the Dean's list, and % of those who were home schooled made the Dean's list. A student is randomly chosen. a) Find the probability that the student made the Dean's list. b) Find the probability that the student , given that the student made the Dean's list. c) Find the probability that the student , given that the student did not make the Dean's list.
Answer:
(a) The probability that the student made the Dean's list is 0.1655.
(b) The probability that the student came from a private high school, given that the student made the Dean's list is 0.2411.
(c) The probability that the student was not home schooled, given that the student did not make the Dean's list is 0.9185.
Step-by-step explanation:
The complete question is:
Of the entering class at a college, 71% attended public high school, 21% attended private high school, and 8% were home schooled. Of those who attended public high school, 16% made the Dean's list, 19% of those who attended private high school made the Dean's list, and 15% of those who were home schooled made the Dean's list.
a) Find the probability that the student made the Dean's list.
b) Find the probability that the student came from a private high school, given that the student made the Dean's list.
c) Find the probability that the student was not home schooled, given that the student did not make the Dean's list.
Solution:
Denote the events as follows:
A = a student attended public high school
B = a student attended private high school
C = a student was home schooled
D = a student made the Dean's list
The provided information is as follows:
P (A) = 0.71
P (B) = 0.21
P (C) = 0.08
P (D|A) = 0.16
P (D|B) = 0.19
P (D|C) = 0.15
(a)
The law of total probability states that:
[tex]P(X)=\sum\limits_{i} P(X|Y_{i})\cdot P(Y_{i})[/tex]
Compute the probability that the student made the Dean's list as follows:
[tex]P(D)=P(D|A)P(A)+P(D|B)P(B)+P(D|C)P(C)[/tex]
[tex]=(0.16\times 0.71)+(0.19\times 0.21)+(0.15\times 0.08)\\=0.1136+0.0399+0.012\\=0.1655[/tex]
Thus, the probability that the student made the Dean's list is 0.1655.
(b)
Compute the probability that the student came from a private high school, given that the student made the Dean's list as follows:
[tex]P(B|D)=\frac{P(D|B)P(B)}{P(D)}[/tex]
[tex]=\frac{0.21\times 0.19}{0.1655}\\\\=0.2410876\\\\\approx 0.2411[/tex]
Thus, the probability that the student came from a private high school, given that the student made the Dean's list is 0.2411.
(c)
Compute the probability that the student was not home schooled, given that the student did not make the Dean's list as follows:
[tex]P(C^{c}|D^{c})=1-P(C|D^{c})[/tex]
[tex]=1-\frac{P(D^{c}|C)P(C)}{P(D^{c})}\\\\=1-\frac{(1-P(D|C))\times P(C)}{1-P(D)}\\\\=1-\frac{(1-0.15)\times 0.08}{(1-0.1655)}\\\\=1-0.0815\\\\=0.9185[/tex]
Thus, the probability that the student was not home schooled, given that the student did not make the Dean's list is 0.9185.
Daria states that the value of the expression –45 x 2 – x + 2.5 is sometimes negative. Which of the following values of x would support Daria’s claim? Select two that apply.
– 5 1/4
1
2.3
– 1.84
HELPPPPP NOOOWWWW PLEASE Seventh grade has already saved $60 for a field trip to Hersheypark they need to raise at least $720 in order to pay for the trip they decide to sell T-shirts to raise money they earn $12 toward the trip for every t-shirt they sell. Ryan the quality that represents the situation? How many teachers must they sell to earn at least $720?
Answer:
Please explain your question better.
Step-by-step explanation:
60 - 720 = 660
660 divided by 12 = 55
Answer:
60
Step-by-step explanation:
$720 divided by $12 is 60.
I don't think I did this right.
Nope prolly not
An online poll has a question that appears on the screen, and you simply click buttons to vote "Yes, " "No, " "Not sure, " or "Don't care." On a particular day, the results of a question were tallied. In all, 636 said "Yes, " another 595 said "No, " and the remaining 93 indicated that they were not sure. What is the sample size for this poll? Compute the percent of responses in each of the possible response categories. (Round your answers to two decimal places.) Discuss the poll in terms of the population and sample framework that we have studied in this chapter. This random sample of responses collects the opinions of a random group of users across all users of the Internet. This voluntary response sample collects only the opinions of those that visit this site every day. This random sample of responses collects the opinions of a random group of users of the particular site. This voluntary response sample collects only the opinions of those who visit this site and feel strongly enough to respond.
Complete Question
An online poll has a question that appears on the screen, and you simply click buttons to vote "Yes, " "No, " "Not sure, " or "Don't care." On a particular day, the results of a question were tallied. In all, 636 said "Yes, " another 595 said "No, " and the remaining 93 indicated that they were not sure.
a)
What is the sample size for this poll?
b)
Compute the percent of responses in each of the possible response categories. (Round your answers to two decimal places.)
c)
Discuss the poll in terms of the population and sample framework that we have studied in this chapter.
i)
This random sample of responses collects the opinions of a random group of users across all users of the Internet.
ii)
This voluntary response sample collects only the opinions of those that visit this site every day.
iii)
This random sample of responses collects the opinions of a random group of users of the particular site.
iv)
This voluntary response sample collects only the opinions of those who visit this site and feel strongly enough to respond.
Answer:
a
[tex]n = 1324[/tex]
b
YES [tex]y = 48.03 \% [/tex]
NO [tex]m =44.94 \% [/tex]
NOT SURE [tex]m =7.02\% [/tex]
c
The correct option is (iv)
Step-by-step explanation:
From the question we are told that
The voting options are "Yes, " "No, " "Not sure, " or "Don't care."
The number of people that said is [tex]Y = 636[/tex]
The number of people that said No is [tex]N = 595 [/tex]
The number that indicated Not sure is [tex]S = 93[/tex]
Generally the sample size is mathematically represented as
[tex]n = Y + N + S[/tex]
=> [tex]n = 636 + 595 + 93[/tex]
=> [tex]n = 1324[/tex]
Generally the percentage of responses that was Yes is mathematically represented as
[tex]y = \frac{636}{ 1324} * 100[/tex]
=> [tex]y = 48.03 \% [/tex]
Generally the percentage of responses that was No is mathematically represented as
[tex]m = \frac{595}{ 1324} * 100[/tex]
[tex]m =44.94 \% [/tex]
Generally the percentage of responses that was Not sure is mathematically represented as
[tex]s = \frac{93}{ 1324} * 100[/tex]
[tex]m =7.02\% [/tex]
This voluntary response sample collects only the opinions of those who visit this site and feel strongly enough to respond.
The sales tax on a pair of jeans is 7%. if juan paid $3.15 in tax, what was the cost of the jeans before tax?
Answer:
2.93
Step-by-step explanation:
3.15×7/100=0.2205
3.15-0.2205=2.9295
The cost of the jeans before tax $2.9295
What is percentage?"It is a number or ratio that can be expressed as a fraction of 100."
For given example,
Let 'a' be the original price of the jeans.
Let 'b' be the price of the jeans with tax.
then, b = a + tax
Juan paid $3.15 in tax for the jeans.
The sales tax on a pair of jeans is 7 percent.
First we find the tax on a pair of jeans.
⇒ tax = b × 7%
⇒ tax = 3.15 × (7/100)
⇒ tax = $0.2205
We need to find the cost of the jeans before tax.
Here, b = $3.15, tax amount = $0.2205
⇒ b = a + 0.2205
⇒ 3.15 = a + 0.2205
⇒ a = 3.15 - 0.2205
⇒ a = $2.9295
Therefore, the cost of the jeans before tax $2.9295
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4. Over the span of a month, a school tracks student choices at lunch. They 1 point
find that 56% of all students buy milk with lunch and 32% buy a piece of
fruit. If 22% of all students buy both milk and fruit, which of the following
represents the percent of students who buy neither?
A. 0.28
B. 0.34
C. 0.42
D. 0.46
Answer:
b
Step-by-step explanation:
56 +32 =88
88 - 22 = 66 remove this who did both as to not double count
100-66=34 bought neither
A basket ball player makes 12 out of 15 free throws. What is his shooting percentage?
Answer:
80%
Step-by-step explanation:
Can someone help me
Answer:
Su=10
Explaination:
So from s to u on the nunebr line is worth 2x-12. So what is s to u worth? Well. S to t on the number line = x-7. T to u =6. And 2 x is worth 12 more than s to u, using th e expression. X has to be at least 8 because otherwise the x-7 wouldn't work, and u might get s to u = 0 or a negative number.
Say x was 13, then 13 - 7 =6. So S to t =6. And r to u =6. So s to u =12. (6+6). Then check if the expression fits this answer of 12. 2x - 12. 2x = 26. 26-12=14, which doesn't match.
Let's try 14. 14-7=7. Then s to u = 7+6=13. The expression: 2x= 28. 28-12=16. 13 and 16 dont match. So we have got further away from what we need. Why don't we try going in the opposite direction. Rather than testing 13 and +1, let's now - 1 and try 12.
If x=12, then s to t =12-7=5. And s to u =6+5=11. The expression: 2x=24.-12=12. We are very close now with 11 and 12.
Lets test x=11!
S to t = 11-7=4. 4+6=10. So s to u =10.
2x=22. 22-12=10. So the expression works and the number line measurements.
The answer is su=10 and x=11.
Points A(−1.5) and B(6) are marked on a number line. Find the coordinate of point M if it is known that AM:MB=1:2. Find all possible answers.
Answer:
M(1)
Step-by-step explanation:
(Please see the attached picture to better visualize the number line)
What we know:
- Point A is at -1.5 on the number line
- Point B is at 6 on the number line
- AM:MB=1:2
From the ratio, we automatically know that point M is in between point A and point B on the number line. In other words, point M is greater than -1.5 but less than 6. (-1.5<m<6). We also learn from the ratio that if the distance between point A and point B is divided into thirds, AM would take up one of those thirds and MB would take up two of those thirds.
1. Find the distance between point A(-1.5) and point B(6)
6-(-1.5)
= 6+1.5
= 7.5
2. Divide this distance into thirds
7.5/3
= 2.5
Now, we know that one third of the distance between AM and BM is 2.5.
3. Add 2.5 to point A(-1.5) to find point M (please refer to the picture attached)
-1.5+2.5
= 1
I hope this helps! Please comment if you have any questions.
Big help! if you could help me answer this worth 30pts
Answer:
Recipe 1 will taste different because it is a different proportion compared to recipe 2 and 3
Step-by-step explanation:
Translate the sentence into an equation.
Nine less than the product of 8 and a number is 7.
Use the variable b for the unknown number please help me out
After translate the sentence into equation, the equation is,
⇒ 8b - 9 = 7
Where, b is any number.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The algebraic expression is,
⇒ Nine less than the product of 8 and a number is 7.
Now, Let a number = b
So, We can formulate the mathematical expression as;
⇒ 8 × b - 9 = 7
⇒ 8b - 9 = 7
Thus, The equation is,
⇒ 8b - 9 = 7
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solve for x and show your work
5x-9=38
x = 9.4
5x - 9 = 38
5x = 47
x = 9.4
Answer:
The answer is x= 9.4
Step-by-step explanation:
5 x 9.4= 47
47-9=48
P.S. I tried very hard so your welcome :)
Working simultaneously, four fudge machines complete a big order in 32 hours. All the machines at the fudge factory work at the same pace. If only half of the machines are working, in how many hours will the order be complete?
Answer:
64 hours
Step-by-step explanation:
Hope this helps :)
Convert 10 feet into yards. Round your answer to the nearest hundredth.
Answer:
3.33 Yards
Step-by-step explanation:
divide 10 by 3
Please Help ASAP -
Lauren is saving for a new purse that costs $65. She already has $14 and will earn $2 for a weekly allowance. Her dad will also give her $3 a week for good behavior. How many weeks will it take before Lauren has enough money for her new purse?
Answer:10 weeks
Step-by-step explanation:
GIVING OUT BRAINLIEST TO FIRST CORRECT ANSWER✅
Answer:
top right graph
Step-by-step explanation:
top right
Answer:
top right graph
Step-by-step explanation:
Use graphing technology to find the range of the function f(x)=-x^2+6x-3
Answer:
The range of the function is [-∞,6]
Step-by-step explanation:
Range of a Function
It's the set of values the function takes when x moves into the function's domain.
It can be graphically determined by placing imaginary horizontal lines from minus infinite to plus infinite. Where the line meets the function, that value of y belongs to the range.
The given function is:
[tex]f(x)=-x^2+6x-3[/tex]
Using a graphing tool, we draw the graph shown in the image below.
It can be clearly seen that if we imagine horizontal lines from above y=6 to infinity, they won't ever touch the graph of the function. From y=6 and below, every horizontal line will touch the function one time or twice.
We can conclude the range of the function is [-∞,6]
3. A test consists of 30 true/false questions. To pass the test a student must answer at least 18 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test?
Answer: the answer would be15%
Step-by-step explanation:
Can someone please help, ty!!
(Will mark brainliest)
What TWO requirements does a graph need to meet to be considered proportional?
Answer:
straight line and it needs to go through the origin
Easy question for easy points
Answer:
50 berries left over
Step-by-step explanation:
55 berries 1700 berries
--------------- = -------------------
1 jar x jars
Using cross products
55x = 1700*1
Divide each side by 55
55x/55 = 1700/55
x = 1700/55
Changing to a mixed number
55 goes into 1700 30 times
30 *55 =16501700-1650 = 50
x = 30 50/55 = 30 10/11
There are 50 berries left over
Answer:
50 berries left over
Step-by-step explanation:
55 berries 1700 berries
--------------- = -------------------
1 jar x jars
Using cross products
55x = 1700*1
Divide each side by 55
55x/55 = 1700/55
x = 1700/55
Changing to a mixed number
55 goes into 1700 30 times
30 *55 =16501700-1650 = 50
x = 30 50/55 = 30 10/11
There are 50 berries left over
Step-by-step explanation:
Mike is 5 years old and Randy is 8 years old. Select all proportional relationships that have the same ratio to that of mike and randys age
Answer:
5:8 po ba ang ratio kasi 5mike
and 8randy old
The proportional relationships that have the same ratio to that of mike and randys age include:
Sarah is 40 years old and her mother is 64 years old.Phill is 40 years old and Moleka is 25 years old.Since Mike is 5 years old and Randy is 8 years old, their ratio is 5:8.
Also, since Sarah is 40 years old and her mother is 64 years old. We can divide their ages by 8. Then the ratio will be 5:8.
Phill is 40 years old and Moleka is 25 years old. We can divide their ages by 5. Then the ratio will be 5:8.
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Translate the following sentence into an algebraic inequality: The quotient of a number, x, and nine is less than eight more than the product of five and the same number x.
Answer:
x/9-8x+5x
Step-by-step explanation:
I can't help but to solve it:
x/9=9x
9x-8x+5x=6x
= 6x
what is the greatest common facter of 48 and 84
Answer:12
Step-by-step explanation:
The prime factorization of 84 is 2×2×3×7 . The prime factorization of 48 is 2×2×2×2×3 . . Therefore, the GCF is 2×2×3=12
I really need help please
6(1-4w)=-18
do the distributive property
Answer:
w=1
Step-by-step explanation:
6(1-4w)=-18
(6*1)-(6*4w)=-18
6-24w=-18
-24w=-24
w=1
Will u mark me brainliest plz!!!!???!!!
w=1
Step-by-step explanation:
Write a set of rules describing the transformation shown using words and/or symbols.
PLEASE HELP IT'S DUE TOMORROW!!
Answer: I am also learning the same thing but this is better than nothing.
f(x,y)→(x-3,-y-2)
Step-by-step explanation:
So basically the base form is f(x,y) that is why I added it there. Then the transformation reflects the shape over the x-axis which changes it from f(x,y)→(x,-y). If you take point A, for example, it is (0,1). When reflected, as the formula shows, it becomes (0,-1) and that is where the negative sign before the y comes from. Then we translate point A left 3 and down 2. That makes the point become (-3,-3) which is where A prime is. That also changes the formula to f(x,y)→(x-3,-y-2). This should work for the ENTIRE shape and ALL THE POINTS. -DooDOoHeaad
Given D(5, 7) and E(3, -3), find the midpoint of DE.
Answer:
[tex](4,2 )[/tex]
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]
Simply plug in your 2 coordinates into the midpoint formula to find midpoint:
[tex](\frac{5+3}{2},\frac{7-3}{2} )[/tex]
[tex](\frac{8}{2},\frac{4}{2} )[/tex]
[tex](4,2 )[/tex]
