Answer: $60
Step-by-step explanation:
From the question, we are told that Venus and Molly are selling candies to raise money for charity and that they buy 80 bags of candy for $0.50 each. This means that the total cost will be:
= 80 × $0.50
= $40
They sell all of them for $1.25 each. This means that the total selling price will be:
= 80 × $1.25
= $100
Profit = Selling price - Cost price
= $100 - $40
= $60
What’s the answer for it
Step-by-step explanation:
I am giving you to solve the new price of Book.
[tex]new \: price \: = 13 - 29\% \: of \: 13 \\ = 13 - 0.29 \times 13 \\ = 13 - 3.77 \\ = \pounds 9.23[/tex]
Follow the same suite to find the new costs of remaining items.
The human resources manager at a company records the length, in hours, of one shift at work, X. He creates the
probability distribution below. What is the probability that a worker chosen at random works at least 8 hours?
Probability Distribution
0.7
0.5
0.5
03
0.2
0.1
0
9 hours
10 hours
8 hours
6 hours
7 hours
Х
Answer:
.84
Step-by-step explanation:
The probability that a worker chosen at random works at least 8 hours is 0.84.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
From the given graph,
Probability of 6 hours = 0.02
Probability of 7 hours = 0.11
Probability of 8 hours = 0.61
Probability of 9 hours = 0.15
Probability of 10 hours = 0.08
The probability of at least 8 hours can be obtained as illustrated below:
P(At least 8 hours) = P(8) + P(9) + P(10)
P(At least 8 hours) = 0.61 + 0.15 + 0.08
P(At least 8 hours) = 0.84
Therefore, the probability that a worker chosen at random works at least 8 hours is 0.84.
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can you please help me with this one??? i need clear explanation
Answer:
£228.
Step-by-step explanation:
We know that each tile is 20 cm by 20 cm, which works out to be an area of 400 square cm.
The floor is 3 m by 5 m, which means it is 300 cm by 500 cm. 300 * 500 = 150000 square cm in area.
To find how many tiles are necessary, we need to find out the area of the floor divided by the area of the individual tiles.
150,000 / 400 = 1,500 / 4 = 750 / 2 = 375
So, to cover the floor, you will need 375 tiles.
Since tiles come in boxes of 10, you will need to find what is 375 divided by 10 so you can know how many boxes to buy.
375 / 10 = 37.5
Since you absolutely NEED 375 tiles to cover the floor, you need that half of a box, so you will buy 38 boxes of tiles.
Each box costs £6. 38 * £6 = £228. And that is your total cost!
Hope this helps!
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Penelope has $1,459.75 in her bank account. To pay her bills, she writes 4 checks in the amounts of $200.25, $359.45, $125, and $299.35. Then she deposits $375 into her account. Penelope’s account balance after she pays her bills and makes the deposit is $ .
Answer:
$850.7
Step-by-step explanation:
Penelope has $1459.75 in her account.
She pays different amount that are given above.
i.e.
=1459.75-200.25-359.45-125-299.35
=475.7
Then she deposit $375
Now,
=475.7+375
=850.7
So, She has $850.7 in her account after she pays her bills and makes deposits.
Answer:
$805.7 OwO
Step-by-step explanation:
Automobile claim amounts are modeled by a uniform distribution on the interval [0, 10,000]. Actuary A reports X, the claim amount divided by 1000. Actuary B reports Y, which is X rounded to the nearest integer from 0 to 10.Calculate the absolute value of the difference
This is not the complete question, the complete question is:
Automobile claim amounts are modeled by a uniform distribution on the interval [0, 10,000]. Actuary A reports X, the claim amount divided by 1000. Actuary B reports Y, which is X rounded to the nearest integer from 0 to 10.Calculate the absolute value of the difference between the 4th moment of X and the 4th moment of Y
A) 0
B) 33
C) 296
D) 303
E) 533
Answer: B) 33
Step-by-step explanation:
First lets say;
z: automobile claim amounts
x: the claim amount dived by 1000
y: x rounded to the nearest integer from 0 to 10
z ≅ V[0, 10,000]
x = z / 1000 ≅ V[0, 10 ] ⇒ Fx { 1/10, 0 ≤ x ≤ 10} 0, 0/10
y = {0, 0 ≤ x < 0.5
1, 0.5 ≤ x < 1.5
2, 1.5 ≤ x < 2.5
3, 2.5 ≤ x < 3.5
↓
9, 8.5 ≤ x < 9.5
10, 9.5 ≤ x < 10
SO 4th moment of x = E(x²) = ∫₀¹⁰x⁴ 1/10 dₓ
= 1/10 (x⁵ / 5)₀¹⁰
= 10⁵ / (10 * 5)
= 100000/50
= 2000
Now
4th moment of y = E(y⁴) = ∑/y y⁴ p( y=y)
= 0⁴p( y=0) + 1⁴p( y=1 ) + 2⁴p( y=2) + → + 10⁴p( y=10)
= 0 + 1⁴.p( 0.5 ≤ x < 1.5) + 2⁴.p( 1.5 ≤ x < 2.5) + 3⁴.p( 2.5 ≤ x < 3.5 ) + → + 10⁴.p( 9.5 ≤ x < 10 )
= 1/10 [ 1⁴(1.5 - 0.5) + 2⁴(2.5 - 1.5) + → + 9⁴(9.5 - 8.5) + 10⁴(10 - 9.5)]
= 1/10 [ 1⁴ + 2⁴ + → + 9⁴ + 1/2*10⁴] = 2033.3
now the absolute difference will be
AD = ║E(x⁴) - E(y⁴)║
= ║ 2000 - 2033.3║
= 33.3 ≈ 33
after being rearranged and simplified which equation cannot be solved using the quadratic formula?
Answer:
B
Step-by-step explanation:
The answer is B because when you simplify it you get -3x + 10 = 0. Since this is no longer a quadratic equation, you can't solve it using the quadratic formula.
Answer:
B
Step-by-step explanation:
5x^2 -3x+10 = 5x^2
Subtracting 5x^2 from each side
5x^2-5x^2 -3x+10 = 5x^2-5x^2
-3x+10 =0
We cannot use the quadratic formula since a =0
The perimeter of a rectangular field that measures 2 feet by 18 inches is _________ ft. A. 40 B. 7 C. 84 D. 6
Answer:
B. 7
Step-by-step explanation:
Simplify the expression
4P2
A 12
B 2
C 4
D 24
Answer:
12
Step-by-step explanation:
[tex]nPr=\frac{n!}{(n-r)!}[/tex]
So in your case, n = 4 and r = 2.
n! = 4! = 4*3*2*1
(n-r)! = (4-2)! = 2! = 2*1
So....
[tex]\frac{4*3*2*1}{2*1}=\frac{24}{2}=12[/tex]
I need help with this question please help
Answer:
6, 10, 8 is the correct answer.
Step-by-step explanation:
Given that, the recursive function:
[tex]a_n=a_{n-1}-(a_{n-2}-4)[/tex]
6th term, [tex]a_{6} =0[/tex]
5th term, [tex]a_{5} =-2[/tex]
To find:
First three terms of the sequence = ?
Solution:
Putting n = 6 in the recursive function:
[tex]a_6=a_{5}-(a_{4}-4)\\\Rightarrow 0=-2-(a_{4}-4)\\\Rightarrow 2=-(a_{4}-4)\\\Rightarrow -2=(a_{4}-4)\\\Rightarrow -2+4=a_{4}\\\Rightarrow a_{4}=2[/tex]
Putting n = 5 in the recursive function:
[tex]a_5=a_{4}-(a_{3}-4)\\\Rightarrow -2=2-(a_{3}-4)\\\Rightarrow -2-2=-(a_{3}-4)\\\Rightarrow 4=(a_{3}-4)\\\Rightarrow a_{3}=8[/tex]
Putting n = 4 in the recursive function:
[tex]a_4=a_{3}-(a_{2}-4)\\\Rightarrow 2=8-(a_{2}-4)\\\Rightarrow 2-8=-(a_{2}-4)\\\Rightarrow 6=(a_{2}-4)\\\Rightarrow a_{2}=10[/tex]
Putting n = 3 in the recursive function:
[tex]a_3=a_{2}-(a_{1}-4)\\\Rightarrow 8=10-(a_{1}-4)\\\Rightarrow 8-10=-(a_{1}-4)\\\Rightarrow -2=-(a_{1}-4)\\\Rightarrow 2=a_{1}-4\\\Rightarrow a_{1}=4+2\\\Rightarrow a_{1}=6[/tex]
So, first, second and third terms are 6, 10, 8.
Can someone please help me I really need help please help me
Answer:
18.87 square cm.
Step-by-step explanation:
The area of the rectangle will be (4 + 4) * 4, since the length of the rectangle would be the diameter of the circle, and the width of the rectangle would be the radius. (4 + 4) * 4 = 8 * 4 = 32 square cm.
Then, we can calculate the area of the semicircle. The area of a circle is pi * r^2, so the area of a semicircle will be half of that. pi * (4^2) / 2 = pi * 16 / 2 = 8pi. 8 * 3.14159265 = 25.1327412 square cm.
The shaded area of the middle of the shape will then be 32 - 25.1327412 = 6.8672588 square cm.
The two triangles will have the same area. Their bases will be 14 minus the diameter of the circle, then divide that by 2 to get each separate base. 14 - 8 = 6 / 2 = 3. The heights of the triangles will be the radius of the circle, or 4 cm.
1/2 * 3 * 4 = 1/2 * 12 = 12/2 = 6. That is the area of one triangle, so the area of both triangles would be 6 * 2 = 12 square cm.
6.8672588 + 12 = 18.8672588, or 18.87 square cm.
Hope this helps!
Answer:
(44 - 8(pi)) cm^2 Exact area
18,9 cm^2 Approximate area
Step-by-step explanation:
The shaded area is the area of the trapezoid minus the area of the semicircle.
area of trapezoid = (b1 + b2)h/2
area of semicircle = (pi)(r^2)/2
The triangles at both sides are right triangles. Each of the horizontal legs has length (14 cm - 8 cm)/2 = 3 cm. Each of the vertical legs is congruent to the radius of the semicircle.
b1 = lower base = 14 cm
b2 = upper base = 14 cm - 3 cm - 3 cm = 8 cm
shaded area = (b1 + b2)h/2 - (pi)(r^2)/2
= (14 cm + 8 cm)(4 cm)/2 - (pi)(4 cm)^2 / 2
= 44 cm^2 - 8(pi) cm^2
= (44 - 8(pi)) cm^2 Exact area
= 18.9 cm^2 Approximate area
Help Please again ;-;
Answer:
Graph 1 shows a negative correlation, and graph 2 shows a positive correlation. This is because in graph one, as x increases, y decreases, and in graph two as x increases, y also increases.
Please help me, tysm if you do :)
The length of a rectangle is 2 cm less than three times the width. The perimeter of the rectangle is 92 cm. Find the dimensions of the rectangle. A. 11, 31 cm
B. 12, 34 cm
C. 12, 38 cm
D. 13, 37 cm
Answer:
B.12.32
Step-by-step explanation:
Let y be the widht of this triangle and x the length of itFrom the first information we can write :
3y-x=2
from the second one :
2y+2x= 92
so our equation are :
3y-x=22y+2x= 92Multiply the first one by 2 then add it to the second one to get rid of x :
6y-2x= 42y+2x+6y-2x= 92+4 8y = 96 y= 12 replace y by 12 to calculate the value of x x= 34John couldn't recall the Serial number on his expensive bicycle. He remembered that
there were 6 different digits, none used more than once, but couldn't remember what
digits were used. He decided to write down all of the possible 6 digit numbers from 0 to 9. How many different possibilities will he have to create?
Answer:
151,200
Step-by-step explanation:
The possible set of numbers will be 151200
What is permutation?A permutation is an arrangement of objects in a definite order.
Given that, John want to find his bicycle's number, so he decided to write down all the possible 6-digit numbers from 0 to 9.
Here, we will use permutation to find the possible numbers,
Formula =
ⁿPₓ = n! / (n-x)!
Therefore,
¹⁰P₆ = 10! / (10-6)!
= 10! / 4!
= 10 × 9 × 8 × 7 × 6 × 5 = 151200
Hence, the possible set of numbers will be 151200
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help asap!! what is the correct answer ? help please !
Answer:
the answer is-1<=x<7.
Step-by-step explanation:
let us replace <= and < sign by equal to(=)
when we do it we get,
-6x +14 = -28 and ex + 28 =25
when we solve them we get,
x=-1 and x= 25 respectively from 1st and 2nd question. so, -1<=x<7 is answer...
hope it will help uh...
two cars are traveling down the highway with the same speed if the first car increases its speed by 1km/hr and the other car decreases its speed by 10km/hr,then the first car will cover the same distance in 2hrs as the second car in 3 hrs, what is the speed of the cars
Answer:
Their speed is 32 km/h.
Step-by-step explanation:
Since they're at the same speed, we can assign a variable to their speed called "x". When the first car increases its speed by 1 km/h, its new speed is "x + 1", while the other car decreases its speed by 10 km/h, so its new speed is "x - 10". The distance's formula can be expressed as below:
[tex]\text{distance} = \text{speed}*\text{time}\\[/tex]
With the modifications to their speed, the distance the first car covers in 2 h and the distance the second car covers in 3 h is shown below:
[tex]\text{distance}_{car1} = (x + 1)*2 \\\text{distance}_{car1} = 2*x + 2[/tex]
[tex]\text{distance}_{car2} = \text{speed}*\text{time}\\\text{distance}_{car2} = (x - 10)*3\\\text{distance}_{car2} = 3*x - 30[/tex]
Since the distance covered by them must be the same, we can find the value of x that makes the expressions equal.
[tex]2*x + 2 = 3*x - 30\\2*x - 3*x = -30 -2\\-x = -32\\x = 32[/tex]
Their speed is 32 km/h.
Round $535 998 to the nearest HUNDRED
Answer: 536,000
Step-by-step explanation:
Answer:
536 000
Step-by-step explanation:
because it izz what it izz
Complete the table for different values of X in the polynomial expression -7x^2+32x+240. Then, determine the optimal price that the taco truck should sell it’s tacos for. Assume whole dollar amounts for the tacos.
Answer:
$6
Step-by-step explanation:
Tico’s taco truck is trying to determine the best price at which to sell tacos, the only item on the menu, to maximize profits. The taco trucks owner decided to adjust the price per taco and record data on the number of tacos sold each day with each new price. When the taco truck charges $4 for a taco, it sells an average of 60 tacos in one day. With every $1 increase in the price of a taco, the number of tacos sold per day decreases by 7.
The owner can calculate the daily revenue using the polynomial expression (-7x²+32x+240),
where x is the number of $1 increases in the taco price. In this activity, you’ll interpret and manipulate this expression and the scenario it represents.
x is number of $1 increments above the initial price of $4. (x=0 means a price of $4, x=1 means a price of $5, etc.)
The revenue is -7x²+32x+240. The average number of tacos sold is the revenue divided by the price.
For example, if x = 0, then the taco price is $4, the revenue is $240, and the number of tacos sold is 60.
If x = 1, then the taco price is $5, the revenue is $265, and the number of tacos sold is 53.
Each time x increases by 1, the number of tacos sold decreases by 7.
Continuing:
[tex]\left[\begin{array}{cccc}Value\ of\ x&Taco\ Price\ (\$)&Average\ Number\ of\ Tacos\ Sold&Daily\ Revenue\ (\$)\\0&4&60&240\\1&5&53&265\\2&6&46&276\\3&7&39&273\\4&8&32&256\\5&9&25&225\\6&10&18&180\end{array}\right][/tex]
The optimal price is $6. At this price, the revenue is a maximum at $276.
Help!!!! please!!!!!
Answer:
A = 18.5
Step-by-step explanation:
A = bh
A = 7.4(2.5)
A = 18.5
Answer:
18.
Step-by-step explanation:
Using opposite operations, rewrite the equation so s2 is on one side of the equation by itself.
Answer:
[tex]S^2= \frac{3V}{H}[/tex]
Step-by-step explanation:
V = 1/3 HS^2
Using opposite operations, rewrite the equation so s2 is on one side of the equation by itself.
Answer: Inverse operations are operations that undo each other that is they result to the original number or variable.
There are different inverse operations like addition and subtraction, multiplication and division, square and square root, cube and cube root.
Given that:
[tex]V=\frac{1}{3}HS^2\\ \\Multiplying\ both \ sides\ by \ 3:\\\\V*3=\frac{1}{3}HS^2*3\\\\3V=HS^2\\\\Dividing \ both\ sides\ by H\\\\\frac{3V}{H}=\frac{HS^2}{H}\\\\ \frac{3V}{H}=S^2\\\\Rearranging\ the \ equation:\\\\S^2= \frac{3V}{H}[/tex]
A school contains 357 boys and 323 girls.
If a student is chosen at random, what is the probability that is a girl?
Correct your answer to 2 decimal places.
Answer:
19/40
Step-by-step explanation:
just divide the number of girls by the total number of students.
323/680 = 19/40 or 0.48
PLEASE HELP!!!! ASAP *grade 9 work*
Answer:
Step-by-step explanation
x . y
-1 . 1
0 . 3
1 . 5
2 . 7
3 9
Answer:
When x = -1, y = 1.
When x = 0, y = 3.
When x = 1, y = 5.
When x = 2, y = 7.
When x = 3, y = 9.
If the radius of a coin is 1cm than calculate its area
Answer:
3.14 square cm
Step-by-step explanation:
Since, a coin is circular in shape, hence its area would be equal to the area of a circle.
[tex]\therefore are \: of \: coin = \pi {r}^{2} \\ = 3.14 \times {1}^{2} \\ = 3.14 \times 1 \\ = 3.14 \: {cm}^{2} \\ [/tex]
Write an equation of the line that passes through the point (–7, –9) with slope –4.
Answer:
y=-4x+b
-9=-4(-7)+b
b=-9-28
b=-37
y=-4x-37
Step-by-step explanation:
Given the slope and one point on the line we the formula above to find the equation of the line.
help on system of equations using substitution
Answer:
The answer is option C.
The answer is option
Step-by-step explanation:
5x + 2y = - 15 ......... 1
x - 4y = - 3 ........ 2
Make x the subject in the second equation and substitute it into the first equation
That's
x = 4y - 3
5(4y - 3) + 2y = - 15
20y - 15 + 2y = - 15
22y = - 15 + 15
22y = 0
Divide both sides by 22
y = 0
Substitute y = 0 into x = 4y - 3
That's
x = 4(0) - 3
x = - 3
x = - 3 y = 0
( - 3 , 0)Hope this helps you
The solution for the following system of linear equation 3m-2n=13 is (2,-1) true or false
Answer:
Not True
Step-by-step explanation:
>_<
[tex]\text{To find your answer, plug in the values to the equation and solve:}\\\\3(2)-2(-1)=13\\\\\text{Solve:}\\\\3(2)-2(-1)=13\\\\6+2=13\\\\8=13\\\\\text{8 does not equal 13, therefore making the equation FALSE}\\\\\boxed{\text{False}}[/tex]
David recycles 5 cans every week. Which expression shows the total number of cans he recycles in w weeks?
5w
w over 5
5 + w
5 + 5w
Answer:
A - 5w
Step-by-step explanation:
I don't know how to explain it
TOP GUY MADE A VERY FUNNY JOKE LOL
2. Calculate the length of the altitude h in ABC, given that m
Answer:
To find h the altitude we use sine
sin ∅ = opposite / hypotenuse
From the question
AC is the hypotenuse
h is the opposite
sin 29 = h / 23
h = 23 sin 29
h = 11.1506
h = 11.00mm to the nearest hundredth
Hope this helps you
what is the solution of (3x+8)/(x-4) greater than or equal to=0
Answer:
x ≥ -8/3
Step-by-step explanation:
=> [tex]\frac{3x+8}{x-4} \geq 0[/tex]
Multiplying both sides by (x-4)
=> 3x+8 ≥ 0
Subtracting 8 to both sides
=> 3x ≥ -8
Dividing both sides by 3
=> x ≥ -8/3
Answer:
[tex]x\le \:-\frac{8}{3}[/tex]
[tex]x>4[/tex]
Step-by-step explanation:
[tex]\frac{3x+8}{x-4}\ge \:0[/tex]
Multiply both sides by (x - 4).
[tex]\frac{3x+8}{x-4} (x-4) \ge \:0(x-4)[/tex]
[tex]3x+8\leq \:0[/tex]
[tex]3x+8-8\leq \:0-8[/tex]
[tex]3x \leq \:-8[/tex]
[tex]x\le \:-\frac{8}{3}[/tex]
Makes denominator equal to 0.
[tex]x-4=0[/tex]
[tex]x = 4[/tex]
[tex]-8/3 \leq x<4[/tex] doesn't work in the original inequality.
[tex]x>4[/tex] works in the original inequality.
in the function y+3=(1/3x)^2, what effect does the number 1/3 have on the graph, as compared to the graph of y=x^2
Answer:
I think the answer is it stretches the graph horizontally by a factor of 3.
Step-by-step explanation:
Answer: it stretches the graph horizontally by a factor of 3
Step-by-step explanation: I got it correct on a-pex
During Thanksgiving, Anna worked 9 and 1/2 hours each day. She earned an hourly wage of $16. If she works all weekdays, how much did she earn in ONE WEEK? Solve the problem. You MUST explain your reasoning.
Answer:760$ in a week because they worked 5 out of 7 days and made 152$ a day
Step-by-step explanation:
9.5 x 16 = $152
152 x 5 (only weekdays)
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