Answer:
Jacob should take the normal route
Step-by-step explanation:
The given parameters are;
How late is Jacob running for work = 5 minutes
The number of times Jacob has taken the alternative route to work = 16 times
The number of times Jacob has taken the normal route to work = 27 times
The number of times Jacob has been late when he takes the alternative route to work = 8 times
The number of times he has been on-time = 3 times
The number of times he has been early = 5 times
By taking the normal route;
The number of times he has been late = 9 times
The number of times he has bee on-time = 12 times
The number of times he has been early = 6 times
Therefore, we have;
The probability that Jacob will be on-time or early when he takes the alternative route. P(A) = (3 + 5)/16 = 0.5
The probability that Jacob will be on-time or early when he takes the normal route, P(N) = (12 + 6)/27 = 0.[tex]\overline 6[/tex]
Therefore, given that the probability that Jacob will arrive on-time or early when he takes the normal route is higher than the probability when he takes the alternative route, Jacob should take the normal route.
The number of miles a car travels varies directly with the number of gallons of gas in its tank of a car with 20 gallons of gas can drive 560 miles which equation represents the number of miles an
Answer:
28 miles per gallon
560/20=28
Step-by-step explanation:
Plz give me brainliest
Number of miles a car travels are 28.
What is division?The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers such that the multiplication of those smaller numbers will be equal to the larger number taken.
Number of gallons of gas = 20
A car with 20 gallons of gas can drive 560 miles
Based on the given conditions,
= [tex]\frac{560}{20}[/tex]
= 28
Hence, number of miles are 28.
Find out more information about division here
https://brainly.com/question/10850080
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I'LL MARK BRAINLIST
Find the mean, median, mode, and range of the following data set.
150, 125, 162, 178, 98, 213, 155, 130
Answer:
Mean = 151.375
Median = 152.5
Mode = None
Range = 115
Step-by-step explanation:
To find the mean:
Add the numbers and then divide by how many numbers there are:
150+125+162+178+98+213+155+130 = 1211
1211/8 = 151.375
To find the median:
Arrange in order from least to greatest:
98, 125, 130, 150, 155, 162, 178, 213
Median is the middle number. Because there is no middle number, average 150 and 155:
150+155 = 152.5
To find the mode:
Count how many times each number appears in the set. In this case, every number appears once, so there is no mode.
To find the range:
Subtract the highest number from the lowest number to find the difference:
213-98 = 115
Answer:
The mean is 138.9. The median is 142.5. There is no mode. The range is 163
classify a triangle with each set of side lengths as acute, right, or obtuse
Answer: Acute- (2,3,3.5) Right-(2.5,6,6.5) obtuse- (7,8,12), (7,9,14)
Step-by-step explanation:
A computer can perform 4.66 x 10 exponent 8 calculations per second. How many calculations can this computer perform in one minute
Answer:
2.796x10^10
Step-by-step explanation:
4.66x10^8 in one second
1 minute is equal to 60 seconds
Multiply 4.66x10^8 by 60
= 2.796x10^10
Mackenzie works as a salesperson at an electronics store and sells phones and phone accessories. Mackenzie earns a $10 commission for every phone she sells and a $4 commission for every accessory she sells. On a given day, Mackenzie made a total of $126 in commission and sold 7 more accessories than phones. Write a system of equations that could be used to determine the number of phones sold and the number of accessories sold. Define the variables that you use to write the system.
Answer:
answer =$126Step-by-step explanation:
did I get it right ?
Which angle number represents an angle vertical to ZMSN? R1 3/2 S 4 6. 5 M
Answer:
4
Step-by-step explanation:
Yeah, This would be 4, Because it's vertically across from that angel
Malcom is filling bags with rice. He starts with 5 1/4 lbs. container of rice and fills each bag with 5/8 pound of rice. How many bags can Malcom fill?
Wendy noticed that out of 345 cars that passed by her house 56 were SUVs. About how many SUVs could she expect to see pass by if 2,100 cars were to pass her house?
Answer:
341 SUVs
Step-by-step explanation:
56/345*2100= 7840/23 or around 341 SUVs
Hope this helped! :)
In a game, students draw a card, replace it, and then draw again. What is the probability of drawing a prime number then a composite number
Answer:
16 / 81
Step-by-step explanation:
Between digits 0 ,1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9
Prob (prime number) = Prime numbers / Total numbers ; Prime numbers = 1,3,5,7. So, Prob = 4 / 9
Prob (composite number) = Composite numbers / Total numbers ; Composite numbers = 2, 4, 6 , 8. So, Prob = 4 / 9
Prob (Prime & Composite) = 4 / 9 x 4 / 9 = 16 / 81
8 gis can fold 5 paper cranes in 6 minutes. how long will it take 36 girls to fold 120 paper cranes? with proper working.
376×74 help and show work
Answer:
27,824
Step-by-step explanation:
i just calculated it.
here ya go! I hope this helps you! :)
Identify the translation of the figure with the vertices L(1,−1), M(4,−3), and N(3,−5), along the vector ⟨2,5⟩.
Answer:
L ′(3, 4), M ′(6, 2), N ′(5, 0)
Step-by-step explanation:
just took test so theres the answer
Use the combination formula to solve a problem when n = 6 and r = 4.
A. 60
B. 45
C. 30
D. 15
Answer:
D. 15 is correct.
I did the quiz.
Mary would like to save $10 000 at the end of 5 years for a future down payment on a car
a) How much should she deposit at the end of each month in a savings account that pays 1.2%/a, compounded monthly, to meet her goal?
b) If you currently have a part-time job, consider your hourly wage. If you do not have a job, use the minimum hourly wage in your jurisdiction. How many hours each month would you have to work, just to make those payments? Write a brief reflection on the advantages and disadvantages to long-term saving for a purchase, compared to borrowing a large sum of money and paying it off over time. Note that interest rates for savings accounts are always lower than interest rates for borrowing!
Answer:
a) $161.8
b i) Approximately 327.7 hours
ii) The cost of saving is less but the opportunity cost of saving can be higher with regards to technology and regulation
Step-by-step explanation:
The amount Mary would like to save, FV = $10,000
The time Mary over which Mary intends to save the amount, t = 5 years
Therefore, the number of monthly payments, n = 12
a) The amount in interest the bank pays compounding, i = 1.2% per annum
The amount that Mary will deposit each month is given as follows;
The compound interest formula is given as follows;
[tex]PMT = \dfrac{FV}{\left (\dfrac{ \left (1 + \dfrac{i}{12} \right )^n - 1}{ \dfrac{i}{12}} \right)}[/tex]
Where;
PMT = The monthly payment
Therefore, we get;
[tex]PMT = \dfrac{10,000}{\left (\dfrac{ \left (1 + \dfrac{0.012}{12} \right )^{60} - 1}{ \dfrac{0.012}{12}} \right)} \approx 161.8[/tex]
PMT = 10,000/((1 + 0.012/12)^(60) - 1)/(0.012/12)) ≈ 161.8
The amount she needs to deposit monthly, PMT ≈ $161.8
b i) Given that the minimum wage varies and we have a minimum wage here is officially approximately $79, which is 160 hours a month work
The number of hours work needed = 161.8/79 × 160 ≈ 327.7 hours a month approximately
b ii) Given that the interest rate for saving is lower than the interest rate for borrowing, the amount paid by saving is much lesser than the amount paid back when borrowing, therefore, it is more cost effective to save
However, while saving, changes may take place, such as the use of what is being saved for, therefore, it can be more beneficial to borrow and make use of the items now while they are still available and acceptable, such as the drive towards net zero is making fuel based cars less popular with the drive being towards electric cars.
please help i need to get out of recovery mode so i can do 20 other assignments including a final exam
Answer:
3
Step-by-step explanation:
y = -3x^2 + 5x + 3
↑ this is "the number at the end/constant," and according to the question the number at the end/constant is the y-intercept
Thus, the y-intercept is 3.
The graph of a function contains the points (6, 7) and (10, 13). Which of these statements is correct based on this information?
A. If the graph also contains the point (4, 4) then the function must not be linear.
B. If the graph also contains the point (12, 16) then the function must not be linear.
C. If the graph also contains the point (1, 2) then the function could be linear.
D. If the graph also contains the point (8, 10) then the function could be linear.
Answer:
The true statements are:
B and D.
Step-by-step explanation:
First, a linear function can be written as:
y = a*x + b
Such that a is the slope, and b is the y-intercept.
If we know that the graph of the function passes through the points (x₁, y₁) and (x₂, y₂) then the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
Here we have a function that passes through the points (6, 7) and (10, 13), then if this function is linear, the slope is:
a = (13 - 7)/(10 - 6) = 6/4 = 3/2
Then the function will be something like:
f(x) = (3/2)*x + b
Knowing that the function passes through (6, 7), this means that:
f(6) = 7
Then:
(3/2)*6 + b = 7
3*3 + b = 7
9 + b = 7
b = 7 - 9 = -2
The function, if linear, is:
f(x) = (3/2)*x - 2
Now let's read the statements:
A) If the graph also contains the point (4, 4) then the function must not be linear.
If the point is a solution of the equation, then the function is linear.
If the point is not a solution of the equation, then the function is not linear.
f(4) = 4 = (3/2)*4 - 2
4 = 3*2 - 2
4 = 6 - 2 = 4
Then (4, 4) is a solution, so if the graph also contains the point (4, 4) the function can be linear. Then the statement "A" is false.
Now let's do the same analysis for the other statements:
B) If the graph also contains the point (12, 16) then the function must not be linear.
F(12) = 6 = (3/2)*12 - 2 = 3*6 - 2 = 18 - 2 = 16
6 = 16
(12, 16) is not a solution, so if the graph contains this point, the function is not a linear function, the statement is true.
C) If the graph also contains the point (1, 2) then the function could be linear.
f(1) = 2 = (3/2)*1 - 2 = 3/2 - 2 = -1/2
The point (1, 2) is not a solution, so if the graph contains this point, then the function can't be linear, so the statement is false.
D) If the graph also contains the point (8, 10) then the function could be linear.
f(8) = 10 = (3/2)*8 - 2
10 = 3*4 - 2 = 12 - 2
10 = 10
The point (8, 10) is a solution of the linear equation, so if the graph contains this point, the function could be linear, so the statement is true.
plz help i have been asking this question way too much
Answer:
10/3 or 3 1/3
Step-by-step explanation:
Marulla's z score on a college entrance exam is 1.3. If the raw scores have a mean of 480 and a standard deviation of 70 points, what is her raw score?
Answer:
571
Step-by-step explanation:
We solve using z score.
z = (x-μ)/σ, where
x is the raw score = ?
μ is the population mean = 480
σ is the population standard deviation = 70
z = 1.3
Hence,
= 1.3 = x - 480/70
Cross Mulitiply
1.3 × 70 = x - 480
91 = x - 480
x = 480 + 91
x = 571
Therefore, Marulla's raw score is 571
plz fast
Write an equivalent expression.
−2(5+7g)
Answer:
equivalent expression.
−2(5+7g) is -10-14g or -14g -10
what is the point of intersection of the x-axis and the y-axis called
a xcoordinate
b origin
c y-coordinates
d quadrant
b)origin
The point of intersection (0, 0) is called the origin.
Hope it helps you
Express your answer in scientific notation. 8.8*10^7+3.1*10^8
Answer:
i can't explain how but the answer is:
3.98 * 10^8
Answer:
39.8 x 10^7
Step-by-step explanation:
Factor the expression
(8.8+3.1x10) x 10^7
Multiply
(8.8+31) x 10^7
Add
39.8 x 10^7
Hope this helps! If you need any other help lmk! :)
Glenn made a loaf of banana nut bread for a picnic. He used 12 cup fewer nuts than in the recipe. If the recipe called for 56 cup of nuts, what amount of nuts did Glenn use
Answer:
Amount of nuts did Glenn use = 44 cups
Step-by-step explanation:
Recipe = 56 cup of nuts
He used 12 cup fewer nuts than in the recipe
what amount of nuts did Glenn use?
Cups of nuts used = Recipe - 12
= 56 - 12
= 44 cups of nuts
Amount of nuts did Glenn use = 44 cups
Cathy practices the piano for a total of 6 hours each week. If she practices fot 3/4 hour each time, how many times each week does she have to practice?
Answer:
8 times
Step-by-step explanation:
Find how many times she has to practice by dividing 6 by 3/4:
6 / (3/4)
= 8
So, Cathy will have to practice 8 times.
Express the following quantities as a ratio.
1. 18hrs to 2days.
2. 3kg to 500g
3. 48secs to 5mins.
4. 4days to 2weeks
5. 2mm to 100cm
pls show working
1.
convert the days to hours
divide both sides by the smallest no. i.e
18:48
18/18:48/18
1:2
Re-write the quadratic function belbw in Standard Form
y = 3(x - 3)(x - 2)
Answer:
y = 3x² - 15x + 18
Step-by-step explanation:
y = 3(x - 3)(x - 2) ← expand factors using FOIL
= 3(x² - 5x + 6) ← distribute parenthesis by 3
y = 3x² - 15x + 18 ← in standard form
ANSWER
SEE EXPLANATION
Step-by-step explanation:
3(x²-2x-3x+6)
3(x²-5x+6)
3x²-15x+18
Find the mean for the following set of data. Write the NUMBER ONLY for the answer.
25, 27, 30, 15, 18, 24, 15
Answer:
22
Step-by-step explanation:
25+27+30+15+18+24+15 all divided by 7
Bashir is going to an amusement park. The price of admission into the park is $10, and once he is inside the park, he will have to pay $4 for every ride he rides on. How much money would Bashir have to pay in total if he goes on 11 rides? How much would he have to pay if he goes on rr rides?
Answer: 54 first box 4r+10 other box
Step-by-step explanation:
multiply 4 and 11 for how much he would pay for each ride then add 10 for the admission fee to get the equation if you don't know how many rides he goes on just put how much he pays times r then the admission fee (4r+10)
What is the similarity ratio of QRST to YVWX?
Answer:
Step-by-I’ll helpstep explanation:
Answer:
2
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal.
QRST → YVWX ← shows the corresponding sides , then
similarity ratio = [tex]\frac{WX}{ST}[/tex] = [tex]\frac{4}{2}[/tex] = 2
EASY MATH PLEASE HELP!! : ) : )
NO LINKS PLEASE
EXPLANATION REQUIRED
A new school is ordering math textbooks. They are 3/4 of an inch thick. How many of these books will fit into a bookshelf that is 2 feet long?
A) 2 books
B) 12 books
C) 26 books
D) 32 books
Answer:
32 Books
Step-by-step explanation:
You know that the bookshelf is 2 feet long, and you know the book is 3/4 inches thick. To start you have to get a common measurement in this case we will use inches. You already know that 1 foot is 12 inches so 2 feet will be 24 inches. Next all you do is divide the 24 inches by 3/4 inches. This will give you 32 which is the total amount of books that can fit on the bookshelf.
[tex]\huge\mathfrak\red{solve \: please..} \\ \\ \huge\mathcal\purple{ {2}^{2} + 3 {}^{2} = {?} } \\ \\ \huge\mathfrak\green{asap \: \: ..thanks.}[/tex]
Answer:
[tex]2^2+3^2[/tex]
[tex]2^2=4[/tex]
[tex]3^2=9[/tex]
[tex]=4+9[/tex]
[tex]=13[/tex]
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hope it helps..
have a great day!!