The markup cost is $84 if the selling price of an item is $720. It is marked down by 30%, but this sale price is still marked up from the cost of $420.
What is markup price?Markup pricing is the practice in which the price of products or commodity is determined by taking all the goods together and adds a fraction as a markup.
We have:
The selling price of an item is $720. It is marked down by 30%
[tex]\rm = 720\times \dfrac{30}{100}[/tex]
Markdown = 216
Now subtract it from the selling price:
= 720-216
Sale price = 504
Now,
= 504-420
Markup cost = $84
Thus, the markup cost is $84 if the selling price of an item is $720. It is marked down by 30%, but this sale price is still marked up from the cost of $420.
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PLEASE HELP!! What is the probability that the top three finishers in the contest will all be seniors?
Using the hypergeometric distribution, it is found that there is a 0.1538 = 15.38% probability that the top three finishers in the contest will all be seniors.
What is the hypergeometric distribution formula?The formula is:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.In this problem:
There are 14 players in total, hence N = 14.Eight are seniors, hence k = 8.Three will be taken from the sample, hence n = 3.The probability that all of them are seniors is P(X = 3), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 3) = h(3,14,3,8) = \frac{C_{8,3}C_{6,0}}{C_{14,3}} = 0.1538[/tex]
0.1538 = 15.38% probability that the top three finishers in the contest will all be seniors.
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A frozen yogurt shop offers frozen yogurt in the sizes shown.
The cost per cubic inch is $0.10 for each container’s contents. What is the difference between the costs of yogurt in the two containers if each is filled with yogurt? Round to the nearest cent.
Cost of the yogurt in cylinder: $
____
Cost of the yogurt in cone:$
____
Difference in cost:$
____
The cost for the cylindrical container will be $2.8 and for the conical container, $0.94 and the difference is $1.86
What is volume?Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like radius length in the case of cylinders and cones.
Given that:-
The cost per cubic inch is $0.10 for each container’s contentsThe volume of a cylinder:-
V = πr²h
V = π x (1.5)² x 4 = 28.27 cubic inches
So the cost will be = 28.27 x 0.10 = $2.8
The volume of the cone:-
V = (1 / 3 ) πr²h
V = (1 / 3 ) π x ( 1.5 )² x 4 = 9.42 cubic inches
The cost will be = 9.42 x 0.10 = $0.94
The difference between the two costs will be:-
= $ 2.8 - $0.94
= $1.86
Therefore the cost for the cylindrical container will be $2.8 and for the conical container, $0.94 and the difference is $1.86
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Answer: cost for the yogurt cylinder 2.83 cost of the yogurt cone 0.94 different cost 1.89
Step-by-step explanation:
use formula to find the volume
then multply both 0.10
round to the nearest hundredth
then subtract
How many differnt flags with 3 stripes are possible, using the colours red (R), blue (B) and yellow (Y)? Each colour can be used obly once in each flag.
Answer:
6
Step-by-step explanation:
3 x 2 x 1
first strip you can have 3 options
second only 2 options left
last one, only 1 choice
RBY
RYB
BRY
BYR
YRB
YBR
Answer:
6 flags
Step-by-step explanation:
The flag must have stripes of 3 different colors.
Ways to arrange each stripe :
Stripe 1 = 3Stripe 2 = 3 - 1 = 2Stripe 3 = 1Stripe 1 x Stripe 2 x Stripe 3
3 x 2 x 16 flagshow do i Solve the inequality:
n/3>1
Answer:
n>3
Step-by-step explanation:
n/3>1
3(n/3)>1(3)
n>3
The density of copper is 8960 /3. What is tmass of a solid cube of copper with side lengths of 4 meters?
Answer:
573440 Kg
Step-by-step explanation:
Mass of copper:[tex]\boxed{\bf Mass = density * volume}[/tex]
Find the volume of the solid cube
Volume of solid cube = side³
= 4 * 4 * 4
= 64 m³
[tex]\sf Mass = 8960* 64\\[/tex]
= 573440 Kg
QUICK PLEASE HELP!FOR 30 POINTS TY Marisol drives 14 miles to a movie theater. She stops after 6.5 miles to pick up
at her house. Then she continues to drive to the movie theater. Marisol wants to know the
distance she and Alicia travel together.
Let y be the distance in miles from Alicia's house to the movie theater.
»Which equations can you solve to find the value of y?
Choose ALL that apply.
y=14-6.5 y +6.5 = 14
O What is the distance from Alicia's house to the movie theater?
? miles
Answer:
equation 1, y = 14 - 6.5
From Alicia's house, the movie theater is 7.5 miles away
Step-by-step explanation:
the total miles is 14
Marisol already drove 6.5 so the remaining amount of miles to the movie theater is 14 - 6.45
See your levels
Deb started doing yard work at 9:52 A.M. After working for 1 hour and 48 minutes, she
stopped to have lunch. It took her 36 minutes to eat lunch.
When did Deb finish eating lunch?
12:16 P.M.
12:32 P.M.
1:16 P.M.
1:32 P.M.
Submit
Id
Conany
Rina
Hein center
ser des
Toll
The correct answer is 12:16 P.M.
How to find when did Deb finish eating lunch ?According to the problem,
Deb started doing yard work at 9:52 A.M.After working for 1 hour and 48 minutes, she stopped to have lunch.It took her 36 minutes to eat lunch.∴ Time at which Dev finishes her lunch =
9:52 A.M. + ( 1 hour and 48 minutes + 36 minutes )
= 11:40 A.M. + 36 minutes = 12 : 16 P.M.
∴ Deb finish eating lunch at 12:16 P.M.
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A basketball player shoots the ball with an initial velocity of 15.8 ft./sec. at an angle of 43.8° with the horizontal. To the nearest tenth, find the initial horizontal component of the vector that represents the velocity of the ball.
A) 4.4 ft./sec.
B) 10.9 ft./sec.
C) 11.4 ft./sec.
D) 15.2 ft./sec.
The initial horizontal component of the vector which represents the velocity of the ball is; Choice C; 11.4 ft./sec.
What is the horizontal component of the ball's velocity?It follows from the task content that the velocity vector of the ball has magnitude 15.8 ft./sec. and is at an angle of 43.8° with the horizontal.
On this note, it follows from vector resolution that the horizontal component of the ball's velocity is;
V(x) = V cos 43.8⁰
V(x) = 11.4 ft./sec.
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Where does the line with the equation y=4x-7 cross the y axis?
Answer:
-7
Step-by-step explanation: an easy way to find the y-intercept (the point at which the line crosses the y axis) is by identifying what part of the equation does not have an x value. in this problem, it would be -7. if it were to not have a number that is followed by an x the y-intercept is 0.
hope that helps!
8.EE.1.2
Which expressions have a value that is between 9 and 10. Select all that apply.
A.) √80
B.) √89
C.) √101
D.) 3 √725
E.) 3 √750
F.) 3 √999
G.) 3 √1010
Considering that the square root of 9 is of 81 and of 10 is of 100, we have that the expression that has a value between 9 and 10 is given by:
B.) √89
E.) [tex]\sqrt[3]{750}[/tex]
F.) [tex]\sqrt[3]{999}[/tex]
How the square root of a number is used to solve this question?We suppose numbers n and m, with square roots given, respectively, by n² and m².
Then, the square roots of all numbers between n² and m² have values between n and m.
In this problem, the square roots are given by:
9² = 81.10² = 100.Hence, the square root of all values between 82 and 99 are values between 9 and 10, thus option B is correct.
As for the cubic root, we apply the same logic and have that:
9³ = 729.10³ = 1000.Hence options E and F are also correct, as the values between 730 and 999 have cubic roots between 9 and 10.
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braden scored 9 fewer points on his math test than ava did if ava scored an 86 what was bradens score
Subtract 9 from 86
86 - 9 = 77
Answer : Braden’s score was 77
need help with this one if someone doesnt mind helping. thank you!
Answer:
wdymm?
Step-by-step explanation:
which expressions is equivalent to 4^3 x 4^x
Answer:
Step-by-step explanation:
256x
Given m n, find the value of x and y.
Answer:
X= 38°
Y = 142°
Step-by-step explanation:
let the angle vertically opposite to 142° = w
therefore, w= 142° ( vertically opposite angles are equal)
hence,x+ w =180° ( two interior angles sum up to 180°)
x+ 142° = 180°
x= 180 - 142 = 48°
X = 38°
then calculating for Y
X + Y = 180° ( angles on a straight line sum up to 180°)
38+Y = 180
Y = 180- 38
Y = 142°
we're done here...please don't forget to rate and mark brainliest!!!Question 4 of 10
Which of the following is the equation of a line in slope-intercept form for a
a
line with slope = 2/3 and yintercept at (0, -2)?
Answer:
A is in line with slope =2/3 and yintercept at (0,-2)
A cylindrical can of cocoa has the dimensions shown at the right.
What is the approximate area available for the label?
9 2
Answer:
What are the dementions? 9 and 2?
That would be 9*3.14*4 = 133.04
~ 133.04 units cubed
Step-by-step explanation:
Here a brainliest if you get it right
Answer:
D.(2, 2)
Step-by-step explanation:
Staring point = (2, -4)Since he moved 6 units up, so, there will be change in only y-coordinate of the starting point and x-coordinate will remain unchanged.End point of the segment = (2, - 4 + 6) = (2, 2)someone help me please help please please help me asap
Answer:
50%
Step-by-step explanation:
The given word :
E A C H
There are 2 vowels.
Probability (vowel) = No. of vowels / Total lettersP (vowel) = 2 / 4P (vowel) = 1/2 = 0.5P (vowel) = 50%helpppppppppppppppppppp
Answer:
see explanation
Step-by-step explanation:
under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
(- 4, - 7 ) → (4, - 7 )
Hey could someone help me with this question?
Answer:
u = 5 m/s
Step-by-step explanation:
Given
s = 20 mt = 2 sa = 5 m/s²Required Formula
s = ut + 1/2at²Solving
20 = 2u + 1/2(5)(2)²20 = 2u + 102u = 10u = 5 m/s
the heights of a group of
people are normally distributed
with a mean of 62 inches and a
standard deviation of 1.5. what
percent of the group is between
62 and 65 inches tall?
The percentage of the group that is between 62 and 65 inches tall is 47.725%
How to determine the probability?The given parameters are:
Mean, μ = 62Standard deviation, σ = 1.5Calculate the z-scores for x = 62 and x = 65 using:
z = (x - μ)/σ
So, we have:
z = (62 - 62)/1.5 = 0
z = (65 - 62)/1.5 = 2
The percentage is then represented as:
P(62 < x < 65) = P(0 < z < 2)
Rewrite as:
P(62 < x < 65) = P(z < 2) - P(z < 0)
Evaluate
P(62 < x < 65) = 0.47725
Express as percentage
P(62 < x < 65) = 47.725%
Hence, the percentage of the group that is between 62 and 65 inches tall is 47.725%
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PLEASE ASAP this is due in 10 minutes
Please help with math questions.
Two numbers have a sum of 23 and a difference of 5. What is the smaller of the two numbers.
Answer:
9Step-by-step explanation:
Two numbers have a sum of 23 and a difference of 5. What is the smaller of the two numbers.
x + y = 23
x - y = 5
(23 - 5) : 2 = 9
9 + 5 = 14
check
14 + 9 = 23
14 - 9 = 5
Please! Help
John is collecting data on the number of spots on ladybugs. He records it in this table.
2 7
5 4
3 3
5 5
6 5
The mean of the data is , and the median is .
Answer:
the mean is 4.5
the median is 5
Step-by-step explanation:
someome help me plsssssssssssssssssss
Find the value of x.
148°
Гу
х
x = [? ]°
=
Grogg typed the following $1000$ expressions into his calculator, one by one: \[\sqrt{1}, \sqrt{2}, \sqrt{3}, \sqrt{4}, \dots, \sqrt{999}, \sqrt{1000}. \]how many times will grogg's result be an integer?
Since 30² = 900 and 40² = 1600, between 30 and 40 of the numbers Grogg enters will reduce to integers. Now just find which count is correct. We don't have to look far:
31² = 961
32² = 1024
so there 31 of the outputs of √1, √2, √3, ..., √1000 are integers.
Grogg will result to integers with 31 outputs from √1, √2, √3, ..., √1000 .
What are integers?An integer serves as the whole number which can be a positive or negative numbers , such as 6, 9, but it cannot be a fraction.
since, she is starting from √1, √2, √3, up to √1000 , then we know that
31² = 961, then we can find the correct count which is 31. so if she is to input those number into square root one after the other , she will have 31 count.
Therefore, Grogg will result to integers with 31 outputs from √1, √2, √3, ..., √1000 .
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A represents Mr. Mole's altitude relative to the ground (in meters) after t
minutes.
A=-2.3t-7A=−2.3t−7A, equals, minus, 2, point, 3, t, minus, 7
How fast did Mr. Mole descend
Using the slope of the linear function, it is found that Mr. Mole descends 2.3 meters per minute.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, Mr. Mole's altitude in meters after t minutes is given by:
A = -2.3t - 7.
The rate of change is the slope of m = -2.3, hence, Mr. Mole descends 2.3 meters per minute.
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What is the volume of a sphere with a radius of 15
inches?
235.5
113040.0
14130.0
1766.25
Answer:
C) V = 14130 in³
Step-by-step explanation:
Volue of a sphere: 4/3πr³
π = 3.14r = 15 in.Substitute the values from above into the formula to find the volume of the sphere:
V = 4/3πr³
V = 4/3*3.14*15³
V = 4/3*3.14*3375
V = 4/3*10597.5
V = 14130 in³
Hope this helps!
