An equation that can be used to find the probability, p, that the person is also a female given that the randomly selected audience member is a student from the class is: P = (17/120) ÷ (37/120)
For given question,
The audience of the magic show is conformed by a total of 120 people, 52 of which are female and 68 are men.
Within the audience there is a school class of 37, of these students, 17 are female and 20 are male.
First we find the probability of selecting a student from the class in all audiences.
P(A) = 37/120
Now, the probability that the selected student is female student:
P(B) = 17/120
We need to write an equation for combined probability which is given by,
P = (17/120) ÷ (37/120)
Therefore, an equation that can be used to find the probability, p, that the person is also a female given that the randomly selected audience member is a student from the class is: P = (17/120) ÷ (37/120)
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Find the solution set for the following absolute value equation:
[3x + 9] = 24
Answer:
x = -11 or 5
Step-by-step explanation:
[3(-11)+9]
[-33+9]
[-24]
24
[3(5)+9]
[15+9]
[24]
24
answer both and I will give brainiest and 50 points.
Describe the location of the point in coordinate space.
(–7, 9, –2)
From the origin, move 7 units back, 9 units left, and 2 units down.
From the origin, move 7 units back, 9 units right, and 2 units up.
From the origin, move 7 units forward, 9 units right, and 2 units down.
From the origin, move 7 units back, 9 units right, and 2 units down.
Describe the location of the point in coordinate space.
(–2, 8, –4)
From the origin, move 2 units back, 8 units left, and 4 units down.
From the origin, move 2 units forward, 8 units right, and 4 units down.
From the origin, move 2 units back, 8 units right, and 4 units up.
From the origin, move 2 units back, 8 units right, and 4 units down.
Answer:
1. From the origin, move 7 units back, 9 units right, and 2 units down.
2. From the origin, move 2 units back, 8 units right, and 4 units down.
Hope this helps :)
I have attached question. I really need help on part B.
Answer:
[see below]
Step-by-step explanation:
[tex]y=x^2+1; y=4\\\\4=x^2+1\\\\4-1=x^2+1-1\\\\3=x^2\\\\\sqrt{3}=\sqrt{x^2}\\\\ \boxed{1.7; -1.7=x}[/tex]
Hope this helps.
Jamie went to the movies with her twin sister, Jenna. They bought one large soda for $4.95 and 3 boxes of candy. Each box of candy cost the same amount. They spent a total of $18.45. Select the equation that best represents how you would solve for c, the cost of each box of candy?
Answer:
The Equation we can use to solve for the cost of each box of candy =
4.95 + 3b = 18.45
The cost of each box of candy = $4.5
Step-by-step explanation:
Let the number of boxes of candy be represented by: b
Each box of candy cost the same amount
Hence from the question above, we have the Equation:
$4.95 + 3b = $18.45
4.95 + 3b = 18.45
3b = 18.45 - 4.95
3b = 13.5
b = 13.5/3
b = 4.5
The cost of each box of candy = $4.5
in triangle, STU, ST = 52, and TU = 39. what is the range of values for the length third side
Answer:
The range of values for the third side is that;
x < 91
Step-by-step explanation:
For us to have a triangle formed, the length of the third side is smaller than the sum of the length of the two other sides
Mathematically;
Let us call the third side x
x < 52 + 39
x < 91
What is the common difference for this arithmetic sequence?
54, 50, 46, 42, 38, .
A. 4
B. -4
C. 34
D. 54
Answer:
B. -4
Step-by-step explanation:
The right answer is B. -4
a company that makes hair care products had people try a new shampoo of the 300 people,45 had a mild allergic reaction. what percent of the people had a mild allergic reaction?
Answer:
.255
Step-by-step explanation:
please help meeeeee.
Answer:
-.82
Step-by-step explanation:
To find the average rate of change over an interval, you use rise over run with the first point and the last point (in this case, the first point is (50, 35.8) and the last point is (60, 27.6)). This will give you an average rate of change of -.82.
In the context of this problem, -.82 is how much your expected remaining life span decreases each year.
Given the vectors a and b, with lengths 21 and 44 respectively, and cosine of the angle between them equal to StartFraction 7 Over 12 EndFraction, find the scalar projection of a onto b and a · b.
ab =
a · b =
Answer:
ab= 49/4
a•b =539
Step-by-step explanation:
evaluate m/2 for m=-8
Answer:
-4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
m/2
m = -8
Step 2: Evaluate
Substitute: -8/2Divide: -4Answer: -4
Step-by-step explanation: It's important to understand that m/2 means
the same thing as m ÷ 2.
In this case, we are given that m = -8.
So we have -8 ÷ 2 which is -4.
Remember that when you divide a negative number
by a positive number then the quotient is negative.
Please answer ASAP!!!
30 % =30/50 =0.30
IT MEANS 30 %
Answer:
0.30 does mean 30%
Step-by-step explanation:
The shape of a water tower can partially be modeled by a sphere in which the diameter is 28 feet. A painter needs to calculate the surface area of this part of the water tower to accurately estimate the amount of paint needed for the job. What is the surface area of this portion of the water tower to the nearest square foot?
edit- nvm i got it but u can answer this if u want i guess
The surface area of the spherical water tower is 2462 ft²
How to find the surface area of a sphere?The surface area of the sphere is the portion he will paint.
Therefore,
surface area of a sphere = 4πr²
where
r = radiusTherefore,
diameter = 2r
r = diameter / 2
r = 28 / 2 = 14 feetsurface area of a sphere = 4 × π × 14²
surface area of a sphere = 4 × π × 196
surface area of a sphere = 784π
surface area of a sphere = 784 × 3.14
surface area of a sphere = 2461.76
surface area of a sphere = 2461.76 ft²
surface area of a sphere = 2462 ft²
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30a^3+36a^2b+25ab^2+30b^3
Answer:
(5a + 6b)(6[tex]a^{2}[/tex] + 5[tex]b^{2}[/tex])
Step-by-step explanation:
1. Factor out common terms in the first two terms, then in the last two terms
2. Factor out the common term 5a + 6b
I’ll make you brainliest !
Answer:
20
Step-by-step explanation:
To evaluate, substitute x = 6 into f(x) , that is
f(6) = 2(6) + 8 = 12 + 8 = 20
[tex]f(x)=2x+8[/tex]
Substitute x = 6 in the equation.
[tex]f(6)=2(6)+8\\f(6)=12+8\\f(6)=20[/tex]
Therefore, the answer is f(6) = 20.
The last choice.
Also note that do not post exam/test question here.
How do I solve 5x - 2?
Please show your work too!
Answer:
0.4
Step-by-step explanation:
5x-2 =0
5x = 2
x=2/5
x=0.4
There are 17 members in a travel group. The Venn diagram below shows members that have been to the United
States, Australia, both, or neither
Complete the following two-way frequency table.
Have been to the United States Have not been to the United States
Have been to Australia
Have not been to Australia
Australia
United States
5
2
6
Answer: 2 . 5
6 4
Step-by-step explanation:
The solution is
The equation of sets is given by n(A∪B) = n(A) + n(B) - n(A⋂B)
What is Set Theory Formula?
The set formula is given in general as n(A∪B) = n(A) + n(B) - n(A⋂B), where A and B are two sets and n(A∪B) shows the number of elements present in either A or B and n(A⋂B) shows the number of elements present in both A and B.
Given data ,
Let the equation be represented as A
The value of A is
n(A∪B) = n(A) + n(B) - n(A⋂B)
So , from the given Venn diagram , we get
The number of people who have been to the United States and Australia is given by A = 2
The number of people who have been to Australia and not been to United States is B = 5
The number of people who have not been to Australia but been to United States is C = 6
The number of people who have not been to Australia and not been to United States is D = 4
Hence , the equation is solved by sets
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Joe has dimes and nickels in his piggy bank totaling $1.45. The number of nickels he has is 5 more than twice the number of dimes, d. Write an equation that can be used to find the numbers of dimes, d, Joe has.
The number of dimes Joe has is 6.
Joe has dimes and nickels, the total amount is $1.45
We have to find the number of dimes Joe has.
Suppose the number of dimes is d, so we have the number of nickels is 2d + 5
Now from the question, we get an equation:
0.10d + 0.05( 2d+ 5) = $1.45
To know the value of d we need to solve the equation:
0.10d + 0.10d + 0.25 = 1.45
0.20d = 1.20
d = 120/20
= 6
Hence we get the total number of dimes Joe has is 6.
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The cost of 3 boxes of envelopes and 4 boxes of notebook paper is $13.25. Two boxes of
envelopes and 6 boxes of notebook paper cost $17. Find the cost of each. Show all work to receive full credit.
Answer:
hope this helps sorry if im wrong but i think it is right have a nice night
Step-by-step explanation:
E for Envelopes
N for Notebook Paper
3E + 4N = $13.25
2E + 6N = $17
N = $2.45
E = $1.15
Answer:
N = $2.45 and E = $!.25
Step-by-step explanation:
E for Envelopes
N for Notebook Paper
3E + 4N = $13.25
2E + 6N = $17
N = $2.45
E = $1.15
A 150 -inch pipe is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece.
Answer:
im trying to get 50 points
Step-by-step explanation:
Answer:
The pipe lengths are 50 inches and 100 inches.
Step-by-step explanation:
If we refer to the length of the shorter piece as x, then we can say the length of the larger piece is 2x. We are also told that the pipe length is 150 inches, so we can say:
x + 2x = 150
3x = 150
x = 150/3
x = 50
So the pipe lengths are 50 and 100 inches respectively.
Approximate square root of 12 to the nearest tenth.
Answer:3
Step-by-step explanation:
The height of a cylinder is 6 centimeters. The circumference of the base of the cylinder is 14 centimeters. Which measurement is closest to the volume of the cylinder in cubic centimeters.
The volume of the cylinder in cubic centimeters is 251.2 cm^3.
The volume of a cylinder is expressed as:
V = πr²h
V = base area * height
Given the following
Base area = 16π centimeters
Height = 5cm
Substitute into the formula to have:
V = 16(3.14) * 5
V = 251.2 cm^3
Hence the volume of the cylinder in cubic centimeters is 251.2 cm^3.
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NO ONE IS HELPING ON THIS SITE, PLEASE HELP MEEEEE
A scientist records the motion of a dolphin as it jumps from the water. The function`h\left(t\right)=-8t^{2}+32t` models the dolphin’s height in feet above the water after t seconds. Show all work and explain your answers clearly. Use complete sentences.
What is the most reasonable domain for this situation? Explain your answer.
Answer:
I don't know the answer but try using 900gle lens and scanning it on homework setting
Answer:
Range is 0 ≤ h ≤ 32
Step-by-step explanation:
The height is a function of time and is described as h(t) = -8t² + 32t
h is the y-axis and t is the x axis, so we can write this as y = -8x² + 32 x.
This describes a parabola that opens downward, since the coefficient of the square term is negative. The maximum point for height will be at the vertex of the parabola.
y = ax² + bx + c
The x coordinate of the vertex is at -b/2a
a = -8, b = 32, c = 0
-b/2a = -32/-16 = 2
Maximum height is at x = 2 seconds (we can see this on the graph)
At 2 seconds, y = -8(2²) + 32(2) = -32 + 64 = 32
Again, we can see this on the graph.
The x intercepts are the points where y = 0
0 = -8x² + 32x = 8x(-x +4)
y will be 0 when x is 0 or 4 (confirmed by graph)
So, the height (y) = 0 at time (x) = 0 sec, 4 sec
0 ≤ y ≤ 32
y = h, so 0 ≤ h ≤ 32
I hope this helps.
I need to asnwer this question
Answer:
mark negative 1 on x axis and mark negative 2 on why access
Step-by-step explanation:
Answer:
dray your line through (0,2) and (4,0)
Step-by-step explanation:
(x, f(x)
(x,y)
♥||Please help as soon as you can!||♥
The price of a video game was reduced from 60$ to $45. By what percentage was the price of the video game reduced?
Answer:
the price was reduced by 25%
Step-by-step explanation:
60 - 45 = 15
15 is what percent of 60?
15/60 = .25 x 100 = 25%
also can notice that 15 is 1/4 of 60, so it is equal to 25%.
120+120 +125+95+x+(x+84)=720, what would the value of x be?
120+120+125+95+x+x+84 = 720
544+2x = 720
2x = 176
x = 176/2
x = 88
Answer:
X=88
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Help me with this please~
the green goober, a wildly unpopular superhero, mixes 3 liters of yellow paint with 5 liters of blue paint to make 8 liters of special green paint for his costume.
Answer:
the answer would just be 8
Step-by-step explanation:
5 +3 = 8 and it would be a deep green
Clear sel
5) Which expression is equivalent to 3.5 x 10^7 + 4 x 10^6?
7.5 x 10^7
O 3.9 x 10^6
O 3.9 x 1017
O 7.5 x 10^6
M
Answer:
3.9 x 10^6
Step-by-step explanation:
3.9 x 10^6
please help me find the slope of the graph thank you a, b, c, d (picture)
Answer:
D: -75 the balloon is descending at a rate of 75ft per minute
Step-by-step explanation:
To find the slope of any graph, take two points on the graph and subtract them y/x so to get this answer is used the points (0,450) and (2,300) and subtracted the y-values over the x-values
450-300=150
0-2=-2
150/-2 = -75
that is the slope and since it is negative and the slope itself is a diagonal line going towards the x-axis you know it’s descending.
Hope this helps :)