Answer:
Dependent Event
Step-by-step explanation:
Assume that are 10 balls, such that:
[tex]Red = 6[/tex]
[tex]Green = 4[/tex]
If the balls are replaced after taken, the probability is:
[tex]Pr(Red) = 6/10[/tex]
[tex]Pr(Green) = 4/10[/tex]
This is referred to as independent event; because each selection do not affect the next or previous selection
However, if the balls are not replaced, the probability is:
[tex]Pr(Red) = 6/10[/tex]
[tex]Pr(Green) = 5/(10 - 1) = 5/9[/tex]
We subtracted 1 because there is a reduction in the number of balls when the red ball is not returned.
This is referred to as independent event; because a selection affects the next selection
PLEASE HELP ME ASAP!!! Alex has 64 cubes with dimensions in feet like the one shown. (1/2 ft). He uses all the cubes to fill a box shaped like a larger rectangular prism. What is the volume, in feet, of the larger rectangular prism?
Answer: MARK AS BRAINLIST PLZ:)
A) First, find the volume of each cube:
V = s³
= (1/2)³
= 1/8 ft³
We have a total of 64 cubes, therefore the maximum volume will be:
Vmax = 64 · (1/8) = 8 ft³
B) The volume of a rectangular prism is given by:
V = w × l × h
Therefore any combination of w × l × h = Vmax = 8 will be fine.
Examples:
2 × 2 × 2
4 × 2 × 1
Step-by-step explanation:
HOPE IT HELPS BRAINLIST
Find the area of the figure.
9514 1404 393
Answer:
7 square inches
Step-by-step explanation:
We take the "3 in" dimension at the left to be the length of the line segment below the 1" square, so the height of the right triangle is 3+1 = 4 in.
The triangle area is ...
A = 1/2bh
A = 1/2(3 in)(4 in) = 6 in²
The square area is ...
A = s²
A = (1 in)² = 1 in²
Then the total area of the figure is ...
1 in² + 6 in² = 7 in²
In parallelogram MNPT, IZM= (6x + 10)° and
mZN= (5x + 10.5)° . How many degrees is ZT?
Answer:
83 degrees
Step-by-step explanation:
We can use the consecutive angle theorem to find the the value of x.
We can do that by doing 5x+10.5+6x+10 = 180
After simplifying, we get 11x+20.5=180
Subtract 20.5 on both sides and you get 11x=159.5.
Divide by 11 on both sides and you get x=14.5
Now we can use opposite angle theorem and set angle N and angle T equal.
That means we could write 5x+10.5 = m<T
We can substitute 14.5 for x and we get 72.5+10.5 = m<T
Simplify and you get 83 = m<T
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Hope this helps!
A company rents out 18 food booths and 27 game booths at the county fair. The fee for a food booth is $50 plus $6 per day. The fee for a game booth is $65 plus $8 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.
Answer:
$2655 + $324d
Step-by-step explanation:
total cost of a booth = fixed cost + (variable cost x number of days)
Fixed costs are costs that do not vary with output
Variable costs are costs that vary with production
cost of 18 food booths = 18(50 + 6d) = 900 + 108d
cost of 27 game booths = 27(65 + 8d) = 1755 + 216d
Add the total cost of the food and game booths together 900 + 1755 = 2655
108d + 216d = 324d
factorize fully and also write in simplest form [tex]x^{2} +3x-10[/tex]
Step-by-step explanation:
x²+3x-10 =
(x+5)(x-2)
______
How do i solve problems like this
Answer:
x = - 2
Step-by-step explanation:
Find the range of the data set: 400, 340, 870, 400
Answer:
530 870-340=530
Step-by-step explanation:
Answer:
Hello There!!
Step-by-step explanation:
Range means when you do the highest number takeaway from the smallest number.
870-340=530.
hope this helps,have a great day!!
~Pinky~
helppppppppppppp pla
Answer:
20 X 6 would be the answer.
The triangle is actually a right triangle. In step 2, Chelsea incorrectly substituted the values into the Pythagorean theorem. The triangle is not a right triangle, but in step 2 Chelsea incorrectly substituted the values into the Pythagorean theorem. The triangle is actually a right triangle. In step 3, Chelsea incorrectly rewrote the expression on the left side of the equation. The triangle is not a right triangle, but in step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.
Answer:
????
What's the question here? I would love to help!
fred has 15000 in his savings account with an interest rate of 1.8%. assuming he doesn't add or subtract from this amount, find the estimated account balance after 22 years
Answer:
A = $20,940
Step-by-step explanation:
Interest = Principal x Rate x Time
I = prt
I = 15000(.018)(22)
I = 5940
Interest = $5,940
Total Amount = Principal + Interest
A = P + I
A = 15000 + 5940
A = 20940
How many ways can you arrange the letters in the word Vacuum?
Answer:
The answer is 360 ways
Step-by-step explanation:
Answer:
720 arrangements
So the six letters can be a combination of 6×5×4×3×2×1 letters or 720 arrangements.
Step-by-step explanation:
The mean age of 5 women in an office is 23 years old. The mean age of 3 men in an office is 24 years old. What is the mean age (nearest year) of all the people in the office?
Answer:
23
Step-by-step explanation:
Women total age = 5 x 23 = 115
Men total age = 3 x 24 = 72
The mean age of all the people
= (115+72)÷(8)
= 23.375
= 23 (nearest year)
The mean age (nearest year) of all the people in the office is 23
How to determine the mean age?The given parameters are:
5 women = 23 years
3 men = 24 years
Mean is calculated using:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
So, we have:
[tex]\bar x = \frac{23 * 5 + 24 * 3}{5 + 3}[/tex]
Evaluate the quotient
[tex]\bar x = 23[/tex]
Hence, the mean age (nearest year) of all the people in the office is 23
Read more about mean at:
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Find the measure of the exterior angle.
Answer:
33+x+18=2x+3
51+x=2x+3
51-3=2x-x
48=x
Step-by-step explanation:
2x+3
2*48+3
96+3
99
The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 243 cubic units.
What is the height of the cylinder?
2 units
4 units
6 units
8 units
Answer: C 6 units
Step-by-step explanation: Edg
Review the graph of function f(x). On a coordinate plane, a curve starts at closed circle (negative 2, 2), curves down to (negative 1, 1), and curves up through (0, 2) to closed circle (3, 6). Using the extreme value theorem, what are the minimum and maximum values of f(x)? minimum value = 1; maximum value = 6 minimum value = 2; maximum value = 6 minimum value = –1; maximum value = 3 minimum value = –2; maximum value = 3
Answer:
A. minimum value = 1; maximum value = 6
Step-by-step explanation:
Correct on Edge 2021
A container is in the shape of a rectangular prism with a square base. It has a volume of 99 cubic inches and a height of 11 inches. How many softballs with a diameter of 3.8 inches will fit into the container? Use the drop-down menus to explain your answer.
Answer:
3
Step-by-step explanation:
13. A bag contains 8 red marbles, 4 purple marbles, 5 green marbles, 2 orange, and 1 blue
marbles. One marble is selected and replaced. A second marble is selected. Find the
probability of each compound event. Show work and simplify your solutions.
a)
Not selecting an orange marble and then a blue marble
b)
Selecting a green or red marble and then a purple marble
Answer:
a) 9 / 200
b) 13 / 100
Step-by-step explanation:
a) The two events are independent because they do not depend each other since the marbles are replaced. To find the total probability of two independent events, you multiply the probability of each event together.
Probability is represented by the amount of desirable outcomes over the total number of outcomes. The total would be the number of marbles, which is: 8 + 4 + 5 + 2 + 1 = 20 outcomes. The number of orange marbles is 2, so the outcomes where you do not pick orange are 20 - 2 or 18 outcomes. The probability of not picking an orange marble would be 18 / 20 or 9 / 10 (using the formula for probability).
There is one outcome where we can pick a blue marble, so the probability of picking a blue marble is 1 / 20. Now, we need to multiply the probabilities for each event: 1 / 20 * 9 / 10 = 9 / 200
b)There are 5 green marbles and 8 red marbles, so the the total outcomes where you pick green or red is 13. We put that over our total to get 13 / 20.
There are 4 purple marbles, so the probability of picking purple is 4 / 20 or 1 / 5. Now we multiply the two probabilities to get the total probability: 1 / 5 * 13 / 20 = 13 / 100
5. A number or symbol multiplied with a variable
Answer:
Coefficient
Step-by-step explanation:
The Table below is a data set that lists how many pairs of shoes are owned by some of your classmates.
Using the data set, what is the median?
Answer:
7.5
Step-by-step explanation:
To find the median, first order the numbers from least to greatest:
2, 4, 5, 7, 8, 8, 10, 12
Then, find the middle number (number in the middle):
There are 2 middle numbers. 7 and 8.
Because there are 2 numbers, we need to find the average. If there was only one number, that would be the median.
To find the average, add 7 and 8. Then, divide the sum by 2 because there are 2 numbers;
7 + 8 = 15
15 / 2 = 7.5
Have a nice day!
if the probability of rain tomorrow is 0.15 what is the probability that it will not rain
Answer:
85% or 99.85%
Step-by-step explanation:
If you mean 15% by 0.15 then the probability that it will not rain is 85% because, 100-15=85.
If you mean 0.15% by 0.15 then the probability that it will not rain is 99.85% because, 100-0.15 is 99.85.
What is the mode of this data set?
12, 12, 13, 14, 17, 16
Answer:
Mode = 12
Step-by-step explanation:
If you need--
Median-13.5
Mean-14
Answer:
12
Step-by-step explanation:
the mode is the number that is the most in fashion
here 12 appears the most
solve for X. Assume that lines which appear tangent are tangent
Answer:
C
Step-by-step explanation:
hii someone pls help me, I’m confused
Answer:
A, B, and D
Step-by-step explanation:
A, B, and D
Answer:
m²+m²+m²+m²
m⁸
4m²
Step-by-step explanation:
The equation is basically asking what is the same as m² times 4
PLZ HELP
In ⊙C, DE ≅ FG, Which statement must be true? Select all that apply.
Answer:
E because is covered all angle
< DCE ≅ < GCF must be true
Hence Option A and E are true statements.
What are angles of circle?A circle has a total of 360 degrees all the way around the center, so if that central angle determining a sector has an angle measure of 60 degrees, then the sector takes up 60/360 or 1/6, of the degrees all the way around. In that case, the sector has 1/6 the area of the whole circle.
According to the given figure:
DE ≅ FG
So < DCE ≅ < GCF must be true
Because DE ≅ FG
< DCE ≅ <GCF is similar to DE ≅ FG
Hence, < DCE ≅ < GCF must be true
Hence Option A and E are true statements.
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1.
Write y = x2 - 4x – 5 in the form y = (x + h) + k
Someone please help meee
Answer:
y = (x - 2)² - 9
Step-by-step explanation:
Using the method of completing the square
add/ subtract ( half the coefficient of the x- term)² to x² - 4x
y = x² + 2(- 2)x + 4 - 4 - 5
y = (x - 2)² - 9
Find the sum of−3x^2
Answer:
[tex]x+y=2[/tex]
[tex]y=-x+2[/tex]
[tex]slope (m)=-1[/tex]
[tex]slope ~of ~perpenddicular ~line:-[/tex]
[tex]-1/m_{2}[/tex]
[tex]\frac{-1}{-1} =1[/tex]
------------------------
hope it helps...
have a great day!
a book had a sale and it was 20% off. the price now is $7.00. What was the original price?
show work
Answer:
List Price = $ 8.75
Discount Amount = $ 1.75
which expressions are equivalent to 4-3 over 4-1
Answer:
B
cause when dividing you are subtracting the exponents
so it 4^-3+1 = 4^-2
you shouldnt have negative exponents
so you flip it, which become 1/4^2
Hope that answers your question
Don't hesitate to comment if you are confused about something
Step-by-step explanation:
What's the answer to
"find the value of
√121 + 3√125" "?
Answer:
11+15√5
Step-by-step explanation:
mat.hway
Find the area of the circle. Leave your answers in terms of pi.
Answer:
49pi m^2
Step-by-step explanation:
Area of circle=pi r^2
D=2r=14
r=7
Area of circle =7^2pi=49pim^2
Answer:
Step-by-step explanation:
The diameter = 14m
r = d/2
r = 14/2
r = 7
Area = pi * r * r
Area = 7 * 7 * pi
Area = 49 pi