Answer:
A is the answer it sounds more likely
For given data, being a girl and playing a sport are independent events as P(girl) = P(girl plays a sport) = 0.4.
What are independent events?"These are the events whose occurrence is not dependent on any other event.""When the probability of occurrence of an event A is not affected by the occurrence of another event B, then event A and event B are independent events."Formula for probability of independent events:"If A and B are independent events then, P(A∩B) = P(A).P(B)"
What is probability?"It is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
Formula of the probability of an event A is:P(A) = n(A)/n(S)
where, n(A) is the number of favorable outcomes, n(S) is the total number of events in the sample space.
For given question,
We have been given a table that shows the results broken down by gender.
Play sports Do not play sports Total
Boy 105 75 180
Girl 70 50 120
Total 175 125 300
Using the definition of probability:
⇒ P(girl) = Number of girls/ Number of students
⇒ P(girl) = 120/300
⇒ P(girl) = 0.4 ....................(1)
Now we find the probability of girls that play a sport.
Using the definition of probability:
P(girl plays a sport)
= Number of girls who plays a sport/ number of students who plays a sport
= 70/ 175
= 0.4 ......................(2)
From (1) and (2),
P(girl) = P(girl plays a sport)
Thus, being a girl and playing a sport are Independent events.
Learn more about independent events here
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In this composite function, (f◦g)(x) where f(x)=(X-3) and g(x)=X^2 what is (f◦g)(x) when x=1?
Answer:
When x = 1, (f◦g)(x) is -2.
Step-by-step explanation:
Composite function:
The composite function of f and g is given by:
[tex](f \circ g)(x) = f(g(x))[/tex]
In this question:
[tex]f(x) = x - 3, g(x) = x^2[/tex]
Composite function:
The composite function is:
[tex]f(g(x)) = f(x^2) = x^2 - 3[/tex]
At x = 1
[tex](f \circ g)(1) = 1^2 - 3 = 1 - 3 = -2[/tex]
So
When x = 1, (f◦g)(x) is -2.
Find the area 2 m 4 m 10 m
Answer:
30.285 m²
Step-by-step explanation:
C = 2πr
2 · π · 2
≈ 12.57
12.57 ÷ 2 = 6.285
10 - 2 = 8
8 · 4 ÷ 2
32 ÷ 2
16
2 · 4 = 8
6.285 + 8 + 16
30.285
Enter an integer to represent the situation.
an elevator ride down 35 stories
Answer:
-35
Step-by-step explanation:
this is a simple but confusing question
however,
since they said down the elevator, and the negative integers reduces, therefore we have our answer as
-35
Sketch a graph of a quadratic function that has a maximum value of (0, 2) and x-intercepts when x = +2.
The graph of a quadratic function that has a maximum value of (0, 2) and x-intercepts when x = ± 2 is plotted and attached.
What is local maxima and minima?Local Maxima →
If f'(x) changes sign from positive to negative as x increases via point c, then f(c) represents the maximum value of the function in that range.
Local Minima →
If f'(x) changes sign from negative to positive as x increases via point c, then f(c) gives the minimum value of the function within that range.
Given is to sketch a graph of a quadratic function that has a maximum value of (0, 2) and x-intercepts when x = + 2.
Refer to the graph of the function attached.
It shows a parabola indicating a quadratic function that has a maximum value of (0, 2) and x - intercepts at x = ± 2.
Therefore, the graph of a quadratic function that has a maximum value of (0, 2) and x-intercepts when x = ± 2 is plotted and attached.
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Suppose Paul kicks a soccer ball straight up into the air with an initial velocity of 96 feet per second. The function h(t)= -16t^2+96t gives the height, in feet, of the soccer ball after t seconds. The function is shown in the graph below. What are the intercepts of the function and what do they mean?
Answer:
(d)
Step-by-step explanation:
Given
[tex]h(t) = -16t^2 + 96t[/tex]
Required
The intercepts
The x intercepts are where the graph crosses x axis.
From the attached plot, they are:
[tex]x = (0,0)[/tex] and [tex]x = (6,0)[/tex]
These represent the start and end of the ball that is launched.
Hence, (d) is true
What is the value of z in the equation 2(4z − 5 − 3) = 166 − 46?
15
17
30
32
Answer:
15
Step-by-step explanation:
4 ×15= 60
60×2= 120
166-46=120
A pyramid has a volume of 1,944 inches cubed and a rectangular base with the dimensions 18 inches by 9 inches. What is the height of the pyramid?
4 in.
12 in.
24 in.
36 in.
Answer:
36
Step-by-step explanation:
I used a triangle height calculator on G0ogle
If the base area is 162 square inches, then the height of the pyramid will be 36 inches. Then the correct option is D.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A pyramid has a volume of 1,944 inches cubed and a rectangular base with the dimensions of 18 inches by 9 inches.
Then the height of the pyramid will be
The volume of the pyramid will be
Volume = (Base area x height) / 3
Then the base area will be
Base area = 18 x 9
Base area = 162 square inches
Then the height of the pyramid will be
1944 = (162 h) / 3
5832 = 162 h
h = 36
More about the geometry link is given below.
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HELP ME PLEASEEEEEEEEEEEE
Answer:
The area is 112.
Step-by-step explanation:
14 x 16 = 224
224/2 = 112
A certain television is advertised as a 36-inch TV (the diagonal length). If the width of the TV is 26 inches, how tall is the TV? Round to the nearest tenth of an inch.
Answer:
the correct answer is 24.9
Step-by-step explanation:
Answer: 24.9
Step-by-step explanation:
50 points!!
Solve for x and y given the 2 triangles are SIMILAR
Answer:
x/3=4.5/1.5
1.5x=3*4.5
x=13.5/1.5
x=9
Step-by-step explanation:
Approximately 0.5% of computers in a shipment arrive broken. In a shipment of 20,000 computers, about how many will NOT be broken?
Rewrite 0.5% as a decimal by moving the decimal point 2 places to the left:
0.5% = 0.005
Multiply quantity by the decimal:
20,000 x 0.005 = 100 would be broken
20,000-100 = 19,900 would not be broken
7.4.PS-6
Question Help
Find the area of the polygon.
20 cm
14 cm
4 cm
3 cm
5 C
Answer:
The area of the given polygon is:
232 cm^2Step-by-step explanation:
To find the area of the polygon in the picture, you can divide the polygon in three rectangles: a 3 cm by 14 cm, a 5 cm by 14 cm rectangle, and the last rectangle must have a base of 12 cm (20 cm - 3 cm - 5 cm), and a height of 10 cm (14 cm - 4 cm). We can calculate the area of the rectangles with the formula below:
Area of a rectangle = Base * heightNow, we're gonna replace the measurements in the formula.
First rectangle:
Area of a rectangle = 3 cm * 14 cmArea of a rectangle = 42 cm^2Second rectangle:
Area of a rectangle = 5 cm * 14 cmArea of a rectangle = 70 cm^2Third rectangle:
Area of a rectangle = 12 cm * 10 cmArea of a rectangle = 120 cm^2By last, we must add the area of the rectangles:
Area of the polygon = 42 cm^2 + 70 cm^2 + 120 cm^2Area of the polygon = 232 cm^2As you can see, the area of the polygon in the picture is 232 cm^2.
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I really need help guys!
7/11 as a decimal roundeded to 3 decimal places
Answer:
0.6364 is a decimal and 63.64/100 or 63.64% is the percentage for 7/11.
The Sine Function
The sine regression models is of form y = a sin(bx + c) + d. Why are sine functions such good models for repetitive behavior?
Answer:
Sine functions show repeated and periodic behavior. They are used to model wave-like behavior. They can be used to make predictions based on the model.
Step-by-step explanation:
I calculated it logically
2 3/7 - 5 6/7 Question I-Ready
Answer: I think so the answer is -3 3/7
HOPE THIS HELPS
Which expression has the greatest value?
Answer:
=8⁴√³
8⁴=2¹²
12÷3=4
2⁴=16
16=16²√
=64²√³
64=4³
6÷3=2
4²=16
=16³√
16=4²
6÷2=3
4³=64
so the answer is 16^3/2
Write an equivalent expression to show the relationship of multiplication and addition.
10+10+10
4+4+4+4+4+4+4
8×2
3×9
6m
d+d+d+d+d
What is the first step in evaluating the expression below?
12 + 6 - 4 X (12-5)
Add 12 + 6
O Multiply 4 x 12
Subtract 5 from 12
O Multiply 4x7
PLEASE HELPPP!!!!!!!!
Answer:
C. y=-3x+5
Step-by-step explanation:
Looking at the line, you see that it goes down 3 places for every unit step to the right, so the slope is -3 and we expect a -3x in the answer.
Looking at the intersection with the y-axis, it is at (0,5), so we expect -3x + 5.
We have to be at the left of this line, i.e. y < -3x + 5.
That's answer B.
find the height of a triangle with an area of 156 square kilometers and a base that measures 24 kilometers
1. Translate the figure: Right 5 and Up 4
Step-by-step explanation:
Right 5 and 4 =9 that is the answer
5. A cabin rental costs $100 deposit plus $75 per day. Find the cost of renting a cabin for the
month of June.
Answer:
the answer to this question is $2,350
Step-by-step explanation:
june has 30 days so $75 × 30 + $100 = $2,350
ABC = DEF What corresponds with B?
Answer:
answer is C
Step-by-step explanation:
<E corresponds with B
Hope it helps you
Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a t-statistic will be used for inference about the difference in sample means. State the degrees of freedom used. Find the endpoints of the t-distribution with 5% beyond them in each tail if the samples have sizes ni = 8 %3D and 11 n2 Enter the exact number for the degrees of freedom and round your answer for the endpoints to two decimal places. degrees of freedom = endpoints
Answer:
i think it 36 sorry if it wrong tho have a nice day
Step-by-step explanation:
What is the slope of the following equation?
y = 2x -3
Answer:
Step-by-step explanation:
2 is the slo[pe:)
Plz help me well mark brainliest if correct!!...
Answer:
The answer will be D
Have a great day :)
Answer: it would be D two of the fourth graders own two pets
Step-by-step explanation: if you look at the graph it is showing how many people own how many pets then look for the one with for and however many stars are there which is two people who own four pets
Hope this helps :)
3.8.22
City planners want to construct a bike path
perpendicular to Bruckner Boulevard at point P. An equation for the Bruckner
Boulevard line is y=-x. Find an equation for the line for the bike path.
4
The equation of the line for the bike path is I.
(Simplify your answer. Type an equation. Type your answer in slope-intercept form. Use integers or fractions for any numbers in th
Answer:
9
Step-by-step explanation:
Challenge A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the
coins, 12% are pennies and 34% are dimes. There are 7 more nickels than pennies. How much
money does the bag contain?
Answer:pennies: (0.12)(50) = 6
dimes: (0.34)(50) = 17
nickels: 6 + 2 = 8