Answer:
3/4x=12
3=4x*12
3=48x
3/48x=1/16
x=1/16
The students of a high school are 51% males. Of the students at this high school 45% of males and 40% of females said they regularly attend concerts.
Answer:
(b) Probability that a student is male and attends concert = 22.95%
(c) Probability that a student is female and does not attend concert = 29.4%
(d) Probability that a student attends concerts = 42.55%
Step-by-step explanation:
P.S - The exact question is -
Given - The population of a high school is 51% male. 45% of the males and 40% of the females attend concerts.
To find - (a) Make a tree diagram based on the information above.
(b) Find the probability that a student is male and attends
concerts.
(c) Find the probability that a student is female and does not
attend concerts.
(d) Find the probability that a student attends concerts.
Proof -
Let the total population of the high school = 100 x
Given that,
The students of a high school are 51% males
⇒Total males in the high school = 51% × 100 x
= [tex]\frac{51}{100}[/tex] × 100 x = 51 x
⇒Total males in the high school = 51 x
⇒Total females in the high school = 100 x - 51 x = 49 x
Now,
Given that,
Of the students at this high school 45% of males and 40% of females said they regularly attend concerts.
⇒Total number of males that attend the concert = 45% × 51 x
= [tex]\frac{45}{100}[/tex] × 51 x = 22.95 x
⇒Total number of males that attend the concert = 22.95 x
And
Total number of males that do not attend the concert = 51 x - 22.95 x
= 28.05 x
⇒Total number of males that do not attend the concert = 28.05 x
Also,
Total number of females that attend the concert = 40% × 49 x
= [tex]\frac{40}{100}[/tex] × 49 x = 19.6 x
⇒Total number of females that attend the concert = 19.6 x
And
Total number of females that do not attend the concert = 49 x - 19.6 x
= 29.4 x
⇒Total number of females that do not attend the concert = 29.4 x
(a)
The tree diagram is as follows :
(b)
Probability that a student is male and attends concert = [tex]\frac{22.95 x}{100 x}[/tex] × 100 %
= 22.95%
⇒Probability that a student is male and attends concert = 22.95%
(c)
Probability that a student is female and does not attend concert = [tex]\frac{29.4x}{100x}[/tex] × 100%
= 29.4%
⇒Probability that a student is female and does not attend concert = 29.4%
(d)
Probability that a student attends concerts = [tex]\frac{22.95x + 19.6x}{100x}[/tex] ×100%
= [tex]\frac{42.55}{100}[/tex] ×100%
= 42.55%
⇒Probability that a student attends concerts = 42.55%
Hlp meeee (convert the improper fraction to a mixed number
Answer:
2 2/5
Step-by-step explanation:
It is because the 2 wholes and 2/5
Answer:
2 and 2/5
Step-by-step explanation:
Because the first two pies are completely shaded giving us the 2 whole. And the third pie has two parts shaded out of the five parts giving us the 2/5.
Now you put them together: 2 and 2/5.
A dune buggy company rents dune buggies at the beach. They charge an initial fee of $30 plus
$10 for each hour the buggy is rented. Let x represent the number of hours and y represent the
total cost of the rental.
a. Identify the slope and y-intercept from the information given.
Slope:
y-intercept:
Answer:
Slope: 10
Y-intercept= 30
Step-by-step explanation:
y= mx + b
m = slope
b = y-intercept
y= 10x + 30
Slope: 10
Y-intercept= 30
Ben has a piece of plywood that measures 1 yard on each side.He cuts the wood into 6 equal pieces.Each piece is 1/3 yard wide and 1/2 yard long.What is the area of each piece that Ben cuts?
Answer:
The area is "[tex]\bold{\frac{1}{6}}[/tex]".
Step-by-step explanation:
In this question, to understand the problem we use the model, that Begins with drawing squares from each side which is 1 yard, and divides these as defined throughout the problem. To fix the issue, using the given model, please find the attached file.
Calculating the area of the one-piece:
[tex]=\frac{1}{2} \times \frac{1}{3}\\\\=\frac{1}{2\times 3}\\\\=\frac{1}{6}\\\\[/tex]
You roll a die 10 times. Find the probabilities for how many times it will land on six. Write yiur answers in decimal form to 8 places.
P(0)= ____
P(1)= ____
P(2)= ____
P(3)= ____
P(4)= ____
P(5)= ____
P(6)= ____
P(7)= ____
P(8)= ____
P(9)= ____
P(10)= ____
What is the most likely number of times out of 10 rolls that the die will land on six? ____
Answer:
dont mind me
Step-by-step explanation:
A painter can paint 120 square feet with 4 gallons of paint. Which statement about the unit rate is true?
Answer:
30 (ft^2/gal)
Step-by-step explanation:
The "unit rate" in this problem is (number of square feet covered) / (1 gallon paint).
Here we have the unit rate
120 ft^2
---------------- = (30 ft^2)/gal or 30 (ft^2/gal)
4 gallons
The perimeter of the base of a right square pyramid is 24 cm. The height of the pyramid is 6 cm. What is the volume of the pyramid? 48 cm3 72 cm3 32 cm3 60 cm3
Answer:
72cm
Step-by-step explanation:
The volume of the base of a right square pyramid is 72 cubic centimeters, the option second is correct.
It is given that the perimeter of the base of a right square pyramid is 24 cm and the height of the pyramid is 6 cm.
It is required to find the volume of the right square pyramid.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We know the formula for finding the volume (V) of a right square pyramid is:
[tex]\rm V= a^2\times\frac{h}{3}[/tex] Where a is the base side and h is the height of the right square pyramid.
[tex]\rm The \ perimeter \ of \ the \ base \ of \ a \right \ square \ pyramid = 4\times(side)[/tex]
[tex]\rm 24 = 4a\\\rm a=6 \ cm[/tex]
And h = 6 cm, putting this value in the above volume formula, wet get:
[tex]\rm V= (6)^2\times\frac{6}{3} \\\rm V= 36\times 2\\\rm V=72 \ cm^3[/tex]
Thus, the volume of the base of a right square pyramid is 72 cubic centimeters, the option second is correct.
Learn more about the pyramid here:
https://brainly.com/question/1260835
A ship travels 200 km west from port and then 240 km due south before it is disabled. Illustrate this in a vector diagram. Use trigonometry to find the course that a rescue ship must take from port in order to reach the disabled ship.
The course that a rescue ship must take from port in order to reach the disabled ship is 312.4 km at a direction of 50.2⁰.
Sketch of the ship's motionThe sketch of the journey of the ship can be used to determine the course that a rescue ship must take from port in order to reach the disabled ship.
<-------- 200 km-------
|
| 240 km
↓
Displacement of the shipThe displacement of the ship from the initial position is calculated as follows;
d² = 200² + 240²
d² = 97,600
d = √97,600
d = 312.4 km
Direction of the displacementtanθ = 240/200
tanθ = 1.2
θ = tan⁻¹(1.2)
θ = 50.2⁰
Learn more about displacement here: https://brainly.com/question/2109763
#SPJ2
(Someone Help Please)
Which equation is true when q = 1/2?
A. 10q − 1/2= 4 1/2
B. 15 1/2 − 8q= 3 3/4
C. 20q + q + 2 1/2=12 1/2
D. 25 1/2 + 6q - q = 28 1/2
Answer:irl
Step-by-step explanation:
What is radiant energy from the sun called
Answer:
Ultraviolent radient energy
Pls I need help and do not post that link thank you
Answer:
4 the one
hope 5hid will you
x+1/3=5
help plzzzzzzz
Answer:
x = 4 2/3
Step-by-step explanation:
x = 5 - 1/3
x = 4 2/3
Answer:
x = [tex]\frac{14}{3}[/tex]
Step-by-step explanation:
Subtract [tex]\frac{1}{3}[/tex] from both sides
x + [tex]\frac{1}{3}[/tex] - [tex]\frac{1}{3}[/tex] = 5 - [tex]\frac{1}{3}[/tex]
x = [tex]\frac{14}{3}[/tex] or 4 [tex]\frac{2}{3}[/tex]
A castle has to be guarded 24 hours a day. Five knights are ordered to split each day's guard duty equally. How long will each knight spend on guard duty in one day? Record your answer in hours as a decimal.
Answer: 4.8 hours
Step-by-step explanation:
Given
The castle must be guarded 24 hr by 5 knights
If duty is split equally among them
No of hours spent by each knight on duty
[tex]\Rightarrow n=\dfrac{24}{5}=4.8\ \text{hours}[/tex]
Therefore, each guard must serve a duty of 4.8 hours
What is the slope for (-2,1) and (7,1)
Answer:
m=0
Step-by-step explanation:
the slope (m) can be calculated from two points with the formula (y2-y1)/(x2-x1)
we are given the points (-2,1) and (7,1)
label the points:
x1=-2
y1=1
x2=7
y2=1
now substitute into the equation
m=(1-1)/(7--2)
m=0/9
m=0
the slope of the line is 0
Hope this helps!
Michelle has four large storage chests in her basement. each storage chest has a base of 8 square feet. Three of the storage chests have a height of 2 feet and one storage has a height of 3 feet. What is the total volume, in cubic feet, of the four storage chests?
1. x+1 when x=10
2. 5y-8 when y=6
3. 6t-9m when t=5 and m=3
4. 62/2 when x=10
5. 5h3-3j2+20 when h=4 and j=5
Answer:
1
X is equal to 10
10 plus 1 equals 11
2
y is equal to 6
30 minus 8
is equal to 22
3
m equals 3 and t equals 5
30 minus 27
is equal to 3
4 not written properly
5 not written properly
.H E L P.
choose the best selection for the quadrilateral with vertices at following points
0,0 -2,3 7,0 5,3
Answer:
The quadrilateral has two pairs of opposite parallel sides and (from the graphing of the points) it is slanted from the vertical, therefore, it is a;
B. Parallelogram
Step-by-step explanation:
The coordinates of the vertices of the given quadrilateral are;
(0, 0), (-2, 3), (7, 0), (5, 3)
Arranging the coordinates according to their y-values and labelled gives;
A(-2, 3), B(5, 3), C(0, 0), D(7, 0)
The graph of the points created with Microsoft Word and Microsoft Excel is attached
From the graph, we have;
Segment AB is parallel to segment CD
The length of segment AB = √((5 - (-2))² + (3 - 3)²) = 7
The length of segment CD = √((7 - 0)² + (0 - 0)²) = 7
∴ The length of segment AB = The length of segment CD
The distance between segment AC and segment BD = Length of segment AB at point A = Length of segment CD at point C
∴ Segment AC is parallel to segment BD (The distance between two parallel lines is the same all through)
The quadrilateral is also observed to be slant from the vertical
Therefore the quadrilateral is a parallelogram
give the center and the radius of the circle of x^2+y^2+6x-8y=0
(x+a)² + (y+b)² = R²
C (a,b)
R = 5 C( 3 , -4 )
I RLY NEED HELP LIKE RN
Answer:
B = (19)(14)
Step-by-step explanation:
A square pyramid is shown. 4 m 6 m 6 m What is the surface area of the pyramid?
A four pack of batteries costs $3.45. A six pack of batteries costs $4.80. Which is a better deal? Unit price.
Answer:
6 for $4.80
Step-by-step explanation:
3.45 / 4 = unit rate of $0.8625
4.80 / 6 = unit rate of $0.80
Martina owns 32 shares of a certain stock. Yesterday the value of each share went up by 8
dollars. What was the total change in value of her shares?
Answer:
wef
Step-by-step explanation:
wef
Can someone pls help im new to this
Answer:
5
Step-by-step explanation:
[tex]\frac{-10}{-2} \\\\5[/tex]
Is 75 divisible by 3?
Answer: yes
Step-by-step explanation:
Given A(8,3), B(4,8), C(4,4) and D(8,-1) find the slope of AB
Answer:
Step-by-step explanation:
Slope: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in A(8,3) and B(4,8)
[tex]=\frac{8-3}{4-8} \\=\frac{5}{-4}\\=-\frac{5}{4}[/tex]
Therefore, the slope of AB is [tex]-\frac{5}{4}[/tex].
I hope this helps!
help i’ll give brainliest if you give a correct answer
Answer:
48 drops
Step-by-step explanation:
32/8 = 4 x 12 = 48 drops
Answer:
48 drops
Step-by-step explanation:
you see that for every 8 drops of yellow there's 12 drops of red and there ends up being 32 drops of yellow and 32/8=4 so you take 12x4 to get how many drops of red.
Help, I wanna pass this iready lesson or im going to get yelled at.
Answer:
1/10 is the correct answer
Step-by-step explanation:
3/5=6/10
7/10-6/10=1/10
Answer:
1/10 hour
Step-by-step explanation:
7/10
convert 3/5 to 6/10 for same denominator
7/10 - 6/10 = 1/10
I need the answer for real fast. Question below
A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?
x + 4
x + 40
3x + 13
3x + 43
Who started the whole link thing anyways?
Answer:
It's x + 4
Step-by-step explanation:
And I don't know who started this link thing
Hope this helps and have a great day *(:^w^:)
Answer:
It's 3x + 13
Step-by-step explanation:
brainlyest ^（｀ω´ ）^ψ
i need to talk with you
52/4=13
12x/4=3x
3x+13
please help asap!
A scatter plot is shown:
What type of association does the graph show between x and y? (4 points)
a. Linear positive association
b. Nonlinear positive association
c. Linear negative association
d. Nonlinear negative association
Answer:
A
Step-by-step explanation:
the dots form a line going upwards from the origin in a positive way (quadrant 1)
My father invests $5000 in a new bank that has an annual
interest rate of 3.8%. Find the balance
after 10 years if it is compounded yearly. Round your answer to
the nearest whole dollar.
$
