Answer:
This is an example of independent probability.
Step-by-step explanation:
Independent events are not affected by previous events, just like the outcome of rolling a dice is not effected by the previous outcome. (The dice has no memory of any kind, what so ever!).
When two events are said to be independent of each other, meaning the probability that one event occurs in no way affects the probability of the other event occurring. Another example of an independent event is when you flip a coin. (The coin has no memory of any kind, what so ever!).
Multiplication Rule: When two events, A and B, are independent, the probability of both occurring is:
P(A and B) = P(A) · P(B)
The dice was cast 10 times. In three occasions a 5 came out, and in 7 occasions another outcome occurred. The probability of the outcome of exactly 3 times a 5 in 10 casts, can be calculated as:
P(5) =(1 / 6)^3 + (5 / 6)^7
P(5) = 0.28
P(5) = .3
Below is the data of ages at the local amusement park on a certain day.
17, 18, 17, 17, 20, 22, 17, 18, 13, 14, 19, 14, 13, 33, 31, 8, 9, 10, 8, 8, 16, 17, 19, 35, 29, 8, 10, 15, 17, 30, 29, 5, 9, 10, 15, 14
Provide the intervals and frequencies you would use to construct the histogram for this data set.
Answer:
39
Step-by-step explanation:
To find the intervals you will need to find the lowest and highest numbers, in this case, it would be 1 and 35. A general rule would be 5-7 intervals, I will use 5.
Here are the intervals with the number of people that were in each:
1-7 (9)
8-14 (14)
15-21 (8)
22-28 (3)
29-35 (5)
14+9+8+3+5=39
Find the area of the shaded region.
Express the area in factored form.
Answer:
(x-1)(x+3)
Step-by-step explanation:
The area of the big green rectangle is just x(x+2) which is [tex]x^2+2x[/tex]. (Excluding the interior rectangle) The shaded area is just this minus three which is [tex]x^2+2x-3[/tex]. In factored form this is (x-1)(x+3).
Hope this helps!
What is the height of the pole?
top
O 12 ft
O 125 ft
O 18 ft
O 182 ft
Which of the following equations represents the line graphed below?
Answer:
y= -2x +3
Step-by-step explanation:
This is because the slope is 2 using rise over run and the y-intercept is 3 because it meets at that point, (0,3) on the number line.
Answer:
y= -2x +3
Step-by-step explanation:
How? We have to take a good look at the line graph
So we know that Y is equals to 2x +3 (first option)
Hope it kinda helped i am not very good at explaining
1. A jet leaves the Charlotte, North Carolina, airport traveling at an average rate of
564 km/h. Another jet leaves the airport one half hour later traveling at 744
km/h in the same direction. Use an equation to find how long the second jet will
take to overtake the first.
A
17
30
h
17
h
30
1
15
h
Answer:
The time needs for second plane to catch up with first plane is t.
We have, 564(t + 0.5) = 744t
=> 180t = 282
=> t= 282/180 = 1.57 hour
Hope this helps!
:)
If you save $3,000 at an interest rate of 14 percent per year, how much will you have at the end of six years? The interest should be compounded. A. $5,805.96 B. $6,502.34 C. $6,584.91
Answer:
C.) $6,584.91
Step-by-step explanation:
Amount earned in compound interest = P(1 + r)^n;
where P is the principal,
r is the rate and n is the number of periods.
Amount = 3,000(1 + 14%)^6 = 3,000(1 + 0.14)^6 = 3,000(1.14)^6 = $6,584.91
Answer:
C) 6584.91
Step-by-step explanation:
plato
What are the slope and the y-intercept of the linear function that is represented by the graph?
On a coordinate plane, a line goes through points (negative 3, 0) and (negative 2, 4).
Answer:
slope is 4 and y-intercept is 12
Step-by-step explanation:
To solve this problem, let's actually just write the equation of the line in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
Slope is change in y divided by change in x. Given (-3, 0) and (-2, 4), the slope will be: (4 - 0) / (-2 - (-3)) = 4 / 1 = 4. So, the slope is m = 4.
Now, our equation so far is y = 4x + b. To find b, plug in, say, -3 for x and 0 for y:
0 = 4 * (-3) + b
0 = -12 + b
b = 12
Then the slope is 4 and the y-intercept is 12.
Answer:
[tex]m = \frac{y_{2}-y_{1} }{x_{2} - x_{1} } = \frac{0 - 4}{-3+2} = \frac{-4}{-1} = 4[/tex]
4 is the slope
now we have to plug in the slope intercept formula where m is 4
you can find b by plugging one of the points
I choose (-3,0) since it is easier to work with
0 = 4(-3) + b
0 = -12 + b
12 = b
Our y intercept is 12
finally the slope intercept form is
y = 4x + 12
Slope formula - (y2 - y1)/ (x2-x1)
Slope intercept form = y = mx + b
Step-by-step explanation:
What is the average rate of change for this exponential function for the
interval from x=2 to x 4?
A. 6
B.-6
C.-12
D.12
The radius of a circle is 1 millimeter. What is the circle's area?
Answer:
The circle's area is pi
Step-by-step explanation:
A=πr2=π·12≈3.14159...
A rectangular prism has a length of 12 feet, a height of 13 feet, and a width of 8 feet. What is its volume, in cubic feet?
Answer:
1248 cubic feet
Which compound inequality is equivalent to the absolute value inequality |b| greater than 6? –6 > b and b > 6 b > –6 or b < 6 –6 < b and b > 6 b < –6 or b > 6
Answer:
The correct inequality is: b< -6 or b > 6
Step-by-step explanation:
The absolute value operator always results in a positive number, in such a way that if b > 0, then |b| = b, while if b < 0, then |b| = -b. With this in mind, let's look at the inequality given:
|b| > 6
This will be true for values of b that are greater than 6 and values of b that are less than -6, due to the absolute value operator. Therefore the compound inequality that represents this situation is:
b< -6 or b > 6
Answer:
I think it is D (and)
Step-by-step explanation:
"Or" means that the b value can be less than -6 or greater than 6
so it could satisfy either one
so if you plug in a value that satifies one of the inequalities (ex: -7)
|-7|>6 and it works!
The ratio of pens to pencils in the box is 84 to 112. Which statement describes this relationship?
A)
There are 3 pens for every 4 pencils in the box.
B)
There are 4 pens for every 6 pencils in the box.
There are 4 pens for every 3 pencils in the box.
D)
There are 6 pens for every 4 pencils in the box.
Answer:
A) There are 3 pens for every 4 pencils in the box
Hope this helps!
:
Which is the solution to –7x > 49?
Answer:
x < -7
Step-by-step explanation:
[tex]-7x>49\\\\\frac{-7x}{-7}>\frac{49}{-7} \leftarrow \text {Division Property of Equality}\\\boxed{x < -7} \leftarrow \text {The symbol switches every time we multiply or divide by a negative in a inequality.}[/tex]
Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v, projvu. u = <-8, -8> and v = <-1,2>
a.) <-0.5, 1> + <-7.5, -9>
b.) <-1, 2> + <-7, -10>
c.) <-1, 2> + <-2, -1>
d.) <1.6, -3.2> + <-9.6, -4.8>
Answer:
c.) <-1, 2> + <-2, -1>
Step-by-step explanation:
hope i helped
Can you answer the questions
Below please and thank you
Answer:
1. 60
2. 90
Step-by-step explanation:
Answer:
1.
1/5
2.
1/15
Step-by-step explanation:
Please help with this question!!
5/8
A. Real number. True, all rational numbers are real; SELECT ME
B. Non-real; nope, it's real, so not non-real
C. Irrational; nope, it's a rational number, the ratio of integers
D. Rational. Natural numbers on top and bottom, bottom not zero. SELECT ME.
E. Integer; no, it's a fraction.
F. Whole; that's a non-negative integer, nope.
G. Natural, that's a non-zero whole number, nope.
Answer: A D
How would you factor 6a - 15
A house worth $150000 in 1999 increased by a constant rate to its value of $255 000 in 2007. Calculate the home's annual rate of increase in value.
Answer:
13125 per year
Step-by-step explanation:
2007-1999=8
255000-150000=105000
105000÷8=13125
Help me out please thank you
Answer:
a. 1/11 < 1/9 < 1/8 < 1/7 < 1/5 < 1/4
b. 4/12 < 4/10 < 4/7 < 4/5
c. 3/11 < 3/9 < 3/8 < 3/7 < 3/5 < 3/4
Step-by-step explanation:
Hope this helps!!!
Pls someone help me
A company is trying to calculate the amount of
concrete that will be needed to create one concrete
block that is in the form below.
The concrete block is a rectangular prism with two
cubes cut out. The cubes have a side length of 6
inches.
What is the total volume, cubic feet, of concrete
needed to make this block?
Answer:
[tex]0.19\,\,cubic\,\,feet[/tex]
Step-by-step explanation:
Given:
The concrete block is a rectangular prism with two cubes cut out. The cubes have a side length of 6 inches.
To find: total volume, cubic feet, of concrete needed to make this block
Solution:
Side of cube = 6 inches
Volume of cube = [tex](side)^3=6^3=216\,\,cubic\,\,inches[/tex]
So, volume of two cubes = 2(216) = 432 cubic inches
Length of rectangular prism = 12 inches
Breadth of rectangular prism = 8 inches
Height of rectangular prism = 8 inches
Volume of rectangular prism = length × breadth × height = [tex]12(8)(8)=768 \,\,cubic\,\, inches[/tex]
Total volume of concrete needed to make this block = Volume of rectangular prism - Volume of two cubes = 768 - 432 = 336 cubic inches = [tex]\frac{336}{1728} =0.19\,\,cubic\,\,feet[/tex]
( use 1 cubic inch = [tex]\frac{1}{1728} \,\,feet[/tex])
A B C or D PLZ help!!!!!!!!!!!!!!!
Answer:
id say D
Step-by-step explanation:
at
14. The water level in a tank can be modeled by the function h(t)=8cos +11.5, where t is the number of
hours since the water level is at its maximum height, h. How many hours pass between two consecutive
times when the water in the tank is at its maximum height?
I
Answer:
2π hours
Step-by-step explanation:
Given the following function:
h(t)=8*cos(t) + 11.5
we want to find its period. This function has the following form:
y = A*cos(B(x + C)) + D
where:
A = 8
B = 1
C = 0
D = 11.5
which period is computed as: 2π/B. Then, for the case of the problem:
period = 2π/1 = 2π hours
Please Answer Quick i'm in a rush please ill give brainliest!!!!!!!
The map shows the location of the houses of Dan, Joe, Lee, and Roy:
Coordinate grid shown from negative 5 to positive 5 on x-axis and negative 5 to positive 5 on y-axis. A point labeled Dan is shown on ordered pair 1, 4. A point labeled Joe is shown on ordered pair negative 3, 4. A point labeled Lee is shown on ordered pair negative 3, negative 4. A point labeled Roy is shown on ordered pair 2, negative 3.
The coordinates of the community center are (5, −1). Who has a house in the same quadrant as the community center?
Dan
Joe
Lee
Roy
Answer:
roy
Step-by-step explanation:
the y coordinate has the negative number like the community center's y.
Answer:
The answer is Lee :)
Step-by-step explanation:
both of the numbers are negatives so they both belong in 3rd quadrant
Please help. What is the height of the box in inches?
Answer:
h = 12 inches
Step-by-step explanation:
The volume is given by
V = Bh where B is the area of the base and h is the height
Substituting V = 1080 and B = 90
1080 = 90h
Divide each side by 90
1080/90 = 90h/90
12 = h
Describe how to find the 1 1/2-inch mark on a ruler.
Answer:find the one inch mark
Step-by-step explanation:
Go half way over between the 1 and 2
Do You Know How?
Write an equation in Slope Intercept Form.
12. Given a Slope of -3 and a Y-Intercept of 8.
Answer:
y = -3x +8
Step-by-step explanation:
The slope intercept form intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
The slope is -3 and the intercept is 8
y = -3x +8
Answer: y= -3x+8
Step-by-step explanation:
Using the formula y=Mx+b
Bye how much more coffe is in the dads mug
Solve for x
8+10x-3x^2=0
Answer: x = 4
or x= -2/3 = -0.667
Step-by-step explanation:
okay who knows there stuff good ? i failed geometry last year and were back at it plz helppp
