A handbag contains seven coins and three
keys. Two items are taken out of the handbag
one after the other and not replaced. Find
the expected number of keys taken out of the
handbag
Answer:
0.59998
Step-by-step explanation:
Number of keys = 3
Number of coins = 7
Total = 10
Number of items taken out = 2
Expected number of keys taken out:
Let x = Number of keys taken out
X = 0
1st pick = 7/10
2nd pick = 6/9
7/10 * 6/9 = 0.46666
X = 1
(7/10 * 3/9) + (3/10 * 7/9) = 0.46666
X = 2
(3/10 * 2/9) = 0.066666
X : ____ 0 ______ 1 _______ 2
P(X): _0.46666__0.46666 _0.06666
Expected value :
(0*0.46666) + (1*0.46666) + (2*0.06666)
= 0.59998
Q1.) The trail mix contains 2 1/2 cups of peanuts, 2 cups of raisins, 2 cups of pretzel sticks, and 1.5 cups of
banana chips. What percent of the mix are raisins?
Answer:
25% of the mix is raisins
8(4n + 3) = – 72
show your work
Answer: n= −3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
8(4n+3)=−72
(8)(4n)+(8)(3)=−72(Distribute)
32n+24=−72
Step 2: Subtract 24 from both sides.
32n+24−24=−72−24
32n=−96
Step 3: Divide both sides by 32.
32n/32 = −96/32
n=−3
Answer:
n= -3
Step-by-step explanation:
32n+24=-72
(subtract 24)
32n=-96
(divide by 3)
n=-3
66 POINTS FOR THIS QUESTION!!! There are 48 students in a school play. The ratio of boys to girls is 5:7. How many more girls than boys are in the play?
What is 4 divided by 888
Answer:
0.0045045045
Step-by-step explanation:
Have a good day I hope this helps! :)
I WILL DO ANYTHING JUST PLEASE
Answer:
95 0r 91
Step-by-step explanation:
Answer:
93
Step-by-step explanation:
trust me
A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
what price the widgets should be sold for, to the nearest cent, for the company to
make the maximum profit.
3032 + 13251 – 8569
Answer:
bad expression
Step-by-step explanation:
13251+3032−8569=7714
A can of cat food costs $0.62. How much would it cost to buy 5 cans of cat food?
Answer:
3.1
Step-by-step explanation: muitply by 5
Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. For what number of shirts would the cost be the same?
What are the variables, equations, and how do you solve?
i don't know what ur say can u be more specif sorry
A local dump truck is carrying 13.4 tons of gravel. How many pounds is it hauling?
Answer:
26,800 pounds of gravel
Step-by-step explanation:
13.4 tons is equal to 26,800 pounds
a full glass of water can hold 1/6 of a bottle how many of glasses can be filled with 3 1/2 of bottles of water
Answer:
21 glasses can be filled
HELPPPPP !!!!!!! Please answer correctly Will mark Brianliest !!!!!!!!!!
-6(-2x -y + 4)
It also says to use the distributive property
Answer:
The answer is 12x+6y-24
Step-by-step explanation:
Answer:
12x + 6y -24
Step-by-step explanation:
A triangle with base 8.2 cm and height 5.1 cm has an area of.
Answer:
Triangle area = 20.91 cm^2
Step-by-step explanation:
area = 1/2(b*h)
area = 1/2(8.2*5.1)
area = 1/2(41.82)
area = 20.91 cm^2
The width of a rectangular field is 20 feet less than its length. The area of the field is 12,000 ft? What is the length of the field?
80 ft
100 ft
120 ft
140 ft
Answer:
The answer is 120 feet.
Step-by-step explanation:
The area of the field (A) is:
A = w · l (w - width, l - length)
It is known:
A = 12,000 ft²
l = w - 20
So, let's replace this in the formula for the area of the field:
12,000 = w · (w - 20)
12,000 = w² - 20
⇒ w² - 20w - 12,000 = 0
This is quadratic equation. Based on the quadratic formula:
ax² + bx + c = 0 ⇒
In the equation w² - 20w - 12,000 = 0, a = 1, b = -20, c = -12000
Thus:
So, width w can be either
or
Since, the width cannot be a negative number, the width of the field is 120 feet.
The length of the field is 120 feet.
Option C is the correct answer.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
Let's start by using the given information to set up two equations:
Let x be the length of the field in feet.
Then, the width of the field is x - 20 feet.
The area of the field is given as 12,000 square feet:
x (x - 20) = 12,000
Expanding the left side of the equation, we get:
x² - 20x = 12,000
Bringing all the terms to one side, we get:
x² - 20x - 12,000 = 0
Now, we can solve this quadratic equation using factoring,
Completing the square, or the quadratic formula.
Here, we will use factoring:
x² - 20x - 12,000 = 0
(x - 120) (x + 100) = 0
The solutions are x = 120 and x = -100, but a negative length doesn't make sense, so we reject that solution.
Therefore,
The length of the field is 120 feet.
To check, we can substitute x = 120 into the equation for the width:
Width = x - 20 = 100 feet
Area = Length x Width
= 120 ft x 100 ft
= 12,000 sq ft
Thus,
The length of the field is 120 feet.
Learn more about rectangles here:
https://brainly.com/question/15019502
#SPJ7
Work out the lengths of sides a and b.
Give your answers to 1 decimal place.
b)
b
17 cm
a
b
8 cm
12 cm
5 cm
Answer:
a=9.4cm
b=12.0cm
Step-by-step explanation:
If x+3/3 = y+2/2, then x/3 = ______
can u pls help me with this question asap
Answer:
a.
Step-by-step explanation:
Plss help !!!!!!!!!!!!!!!!
Answer: C (324)
Step-by-step explanation:
He is making $54 a day working 6 hours a day. 54 x 6 = 324 meaning in 6 days he would make $324.
Answer:
C. 324 thats the answer my cousin solved this
What is the value of b?
A coffee shop sells a coffee refill mug for $6.75. Each refill costs $1.25. Last month Kim spent $31.75 on a mug and refills. Write an equation you can use to find the number of refills Kim bought. How many refills did Kim buy?
Answer:
equation: x(1.25) + 6.75 = 31.75 refills: 20
Step-by-step explanation:
The mug costs $6.75, and you aren't buying multiple cups, so that number stays the same. The number of refills is "x" since we do not know the amount. Next to "x" we multiply 1.25 for the cost of each refill. So now we have "x(1.25)" then we add $6.75 to the equation, for the mug price. Along with the total at the end. To which we now have "x(1.25) + 6.75 = 31.75"
Now we solve the equation. First, subtract 6.75 from each side
x(1.25) + 6.25 = 31.75
-6.25 -6.25
Now we have "x(1.25) = 25" So we have to divide each side by 1.25
x(1.25/1.25) = 25/1.25
x = 20
Therefore, Kim bought 20 refills. To check our work we can replace x with 20 in the original equation.
20(1.25) + 6.75 = 31.75
25 + 6.75 = 31.75
31.75 = 31.75
I'm not the best at explanations, but I hope this helped! :)
I NEED THE ANSWERS ASAP PLEASE HELP!!!!!
Answer:
x = 10
y = [tex]10\sqrt{2}[/tex]
Step-by-step explanation:
Let me know if you want an explanation.
A city has a population of 220,000 people. Suppose that each year the population grows by 3.75%. What will the population be after 9 years? How many people
Answer:
294250 people will be there after 9 years if the population is increased 3.75% annually.
Step-by-step explanation:
First, 3.75% of 220000
then multiply the answer with 9.
again add the answer with 220000.
hence your answer came.
try it. Hope it helps
Find the gradient of the line segment between the points (8,6) and (10,12)
Answer:
3.
Step-by-step explanation:
The gradient = (12-6/(10-8)
= 6/2
= 3.
find area of trapezoid
Answer:
150 sqaure ft
Step-by-step explanation:
okay so the formula for area of a trapezoid is
1/2 (b1 + b2) h
so base one of 15 plus two of 10 os 25 ft
25 feet divided by 2 is 12.5 so 12.5 × 12 is 150
An 18-feet ladder is leaning against the side of a building. The angle between the ladder and the ground is 30°.
How high up on the building, from the ground, is the top of the ladder?
9514 1404 393
Answer:
9 feet
Step-by-step explanation:
The sine relation applies.
Sin = Opposite/Hypotenuse
sin(30°) = height/(18 ft)
height = (18 ft)sin(30°) = (18 ft)(1/2)
height = 9 ft
The ladder extends 9 feet up the side of the building.
Help!!!!!!!!!!!!!!!!!
Answer:
-64
Step-by-step explanation:
0/2
Sandy had one hundred fifty - five dollars to spend on eight books. After buying them she had eleven dollars. How much did each book cost?
Answer:
Each book costs $18.
Step-by-step explanation:
$155 - 11 = $144 left
$144/8 books = $18 per book
Hope this helps!
Answer:
155 minus the 11 she still had means she spent 144.
144 divided by 8 books comes to $18 per book, on average.
5 cm 7 cm 15 cm What is the surface area of the figure? by square centimeters
The answer to this problem
Answer:
Check pdf
Step-by-step explanation:
Answer:
p ≥ − 9
Step-by-step explanation:
what is the 11.2???