find the probability that a student chosen at random plays football or cricket or both
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Related Questions
will give brainiest if correct
A. 69.1
B. 20.9
C. 22.4
D. 67.6
Answers
sin A/ a = sinB/ b
where A = C or 90 degrees; a = 21
B = ? , b = 8
solving for b;
sin(90) / 21 = sin(B) / 8 ; B = 22.39 degrees
Total angle of triangle = 180
180 - 90 - 22.39 = x
x = 67.607 degrees
How do you simplify # (x+3)/(x^2+7x+12)#?
Answers
hope it is helpful
A town has a population of 13000 and grows at 4.5% every year. What will be the population after 13 years, to the nearest whole number?
Answers
y=13,000(1.045)^t
t=13
You get 1.045 because you add 1+ the percentage in decimal form.
Answer:
population after 13 years is around 23,039
Step-by-step explanation:
A town has a population of 13000 and grows at 4.5% every year.
Population growth is given by [tex]y=a(1+r)^t[/tex]
y is the population after t years
'a' is the initial population= 13000
'r' is the rate of growth=4.5%= 0.045
t is the number of years=13
[tex]y=a(1+r)^t[/tex]
[tex]y=13000(1+0.045)^13[/tex]
y=23,038.54
What is the value of x?
28
47
56
33
Answers
______________________________________________________
→ " x = 47 " .
______________________________________________________
Explanation:
______________________________________________________
Note: The "vertex" is "floating around" inside the circle.
Answer:
47
Step-by-step explanation:
Which of the following sets of possible side lengths forms a right triangle? 12, 35, and 38 11, 60, and 61 9, 40, and 45 6, 12, and 13
Answers
11, 60, and 61
Let's check it using the Pythagorean theorem.
We have then:
ROOT ((a) ^ 2 + (b) ^ 2) = c
Where,
a = 11
b = 60
ROOT ((11) ^ 2 + (60) ^ 2) = 61
Answer:
11, 60, and 61
Answer:
11,60, and 61
Step-by-step explanation:
If area of a circle measures 16/25 pi cm square, what is the circumference of the circle in terms of pi
Answers
(16/25)*pi = pi*r^2
16/25 = r^2
rt(16/25) = r
r = 4/5
C = 2pi*r
C = 2pi*(4/5)
C = (8/5) pi cm
Simplify the function f(x)= 1/2 (27) 2x/3. Then determine the key aspects of the function
Answers
[tex]f(x)= \frac{1}{2}(27)^{ \frac{2x}{3} } \\ \\ f(x)= \frac{1}{2}((27)^{ \frac{2}{3} })^{x} \\ \\ f(x)= \frac{1}{2}(9)^{x} [/tex]
From the above equation, we can answer all the 4 questions.
a) Initial value occurs when x = 0
So,
[tex]f(0)= \frac{1}{2}(9)^{0}= \frac{1}{2} [/tex]
So, the Initial value of the function is 1/2.
b) Simplified Base:
The base of an exponential function is the term which contains the exponent.
From the simplified equation, we can see that the base has been simplified and is equal to 9.
So, the simplified base is 9
c) Domain:
From the equation we can see that there is no such value which makes the function undefined. So all reall numbers are included in the Domain.
So, Domain is Set of All real numbers.
In Interval notation this can be expressed as: (-∞,∞)
d) Range:
Range is the set of all y values that a function can take. Since the graph is not shifted vertically up or down, the range will be the set of all real numbers greater than zero.
So, Range is equal to All real numbers greater than 0.
In Interval notation, this can be expressed as (0,∞)
Answer:
The last one is y>0
Jacob drove from town a to town b at an average rate of x miles per hour, then returned along the same route at y miles per hour. if he then drove back to town b at z miles per hour along the same route, what was jacob's average rate of speed for the entire trip, in miles per hour?
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Selecting a red pen and then a blue pen, when selecting 2 pens from a bag of 10 red pens
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can someone please explan how I got this wrong?
Solve for x in the triangle
using laws of cosine
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The Bright Star Video Club offers the two membership plans described below.
Plan A: $50 yearly membership fee and $2 for each video rental
Plan B: $10 yearly membership fee and $4 for each video rental
Greg is planning to enroll in one of these plans. For how many video rentals would the total cost of Plan A be equal to the total cost of Plan B?
A. 50
B. 20
C. 30
D. 40
Answers
Plan A: y = 2x + 50
Plan B: y = 4x + 10
2x + 50 = 4x + 10
Now solve the combined equation.
2x + 50 = 4x + 10
- 10 - 10
2x + 40 = 4x
-2x -2x
40 = 2x
x = 20
Plan A: y=2x+50
Plan B: y=4x+10
and see where they intersect, and that will give you the answer.
OR
You can substitute each answer for x, like this,
A. 50
Plan A:
y=2(50)+50
y=100+50
y=150
Plan B:
y=4x+10
y=4(50)+10
y=200+10
y=210
So, therefore, A.50 is not the answer.
B.20
Plan A:
y=2x+50
y=2(20)+50
y=40+50
y=90
Plan B:
y=4x+10
y=4(20)+10
y=80+10
y=90
So, B.20 is correct but always check the rest of the answers. Just in case
C.30
Plan A:
y=2x+50
y=2(30)+50
y=60+50
y=110
Plan B:
y=4x+10
y=4(30)+10
y=120+10
y=130
So, C.30 is incorrect.
D.40
Plan A:
y=2x+50
y=2(40)+50
y=80+50
y=130
Plan B:
y=4x+10
y=4(40)+10
y=160+10
y=170
So, in conclusion the correct answer is B.20.
a bag contains 7 red marbles 6 green marbles 5 yellow marbles and 2 orange. marbles are drawn twice with a replacement. what is p {yellow and green?
a coin is tossed and a number cube is rolled. what is p{h, then prime number?
letter tiles that spell the word happiness are replaced in a bag. a tile is drawn and then a second tile is drawn. find p then vowel p?
Answers
[tex]226[/tex]
Question 1:
We have been given that a bag contains 7 red marbles, 6 green marbles, 5 yellow marbles, and 2 orange. Further we are given that marbles are drawn twice with a replacement. We need to figure out the probability P(Yellow and Green).
Basically, we need to determine the probability that first marble drawn is yellow and second marble drawn is green.
Probability of first marble drawn being yellow is [tex]\frac{5}{20}=\frac{1}{4}[/tex] and probability of second marble drawn being green is [tex]\frac{6}{20}=\frac{3}{10}[/tex].
Therefore, the probability P(Yellow and Green) = [tex]\frac{1}{4}\cdot \frac{3}{10}=\frac{3}{40}[/tex].
Question 2:
We have been given that a coin is tossed and a number cube is rolled and we need to find the probability P(H, prime number).
Probability of getting head on the coin is [tex]\frac{1}{2}[/tex].
Probability of getting a prime number on the cube is [tex]\frac{3}{6}=\frac{1}{2}[/tex].
Therefore, probability P(H, prime number) = [tex]\frac{1}{2} \cdot \frac{1}{2}=\frac{1}{4}[/tex]
An alloy of copper is 10% copper and weighs 25 pounds. A second alloy is 18% copper. How much (to the nearest lb.) of the second alloy must be added to the first alloy to get a 13% mixture.
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please help asap 50 pts
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The vertex is always the lowest or highest point:
When a parabola looks like a smiley face, it has a minimum (like this one).
When a parabola looks like a frowning face, it has a maximum.
The coordinate for the vertex is (-2, -3).
So, your answer is C.
You choose a marble at random from a bag containing 8 brown marbles 6 yellow marbles and one purple marble. You replace the marble and then choose again.find p (both yellow)
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Pick 2: 6 yellow out of 15 total marbles = 6/15 = 2/5
Pick 1 AND Pick 2
2/5 x 2/5 = 4/25
WILL MAKE BRAINLIEST!!!!!!!The arc length of a sector is equal to twice the radius. Express the arc length s as a function of the area a of the sector.
s=
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==>
Since r = s/2, it follows that , or , or
.
The arc length as a function of the area of the sector is l=2√A.
What is the area of a sector?Area of a sector = 1/2 * arc length(l) * radius(r)
[tex]A=[/tex] [tex]\frac{1}{2} l*r[/tex]......(1)
It is given that the arc length of a sector is equal to twice the radius.
This means [tex]l=2r\\[/tex]
So, [tex]r=\frac{l}{2}[/tex]
Putting the value of r in (1)
[tex]A = \frac{l^{2} }{4}[/tex]
[tex]l^{2} =4A[/tex]
[tex]l=2\sqrt{A} \\[/tex]
So, the required function is l=2√A
Hence, the arc length as a function of the area of the sector is l=2√A.
To get more about arc length visit:
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Megan consumed 3.5 gallons of water in one day. How many milliliters are equal to 3.5 gallons, if 1 liter equals 1,000 milliliters and 1 gallon = 3.785 liters?
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There are 3,785 milliliters in one gallon.
Then, multiply that by 3.5 3,785 x 3.5 = 13,247.5
There are 13,247.5 ml in 3.5 gallons
Answer:
There are 13,247.5 ml in 3.5 gallon
A florist earns a profit of $2.00 on each bunch of carnations, $3.00 on each bunch of lilies and $1.00 on a bunch of roses. On a particular day, she sold 46 bunches of flowers and made a profit of $82.00. She sold twice as many bunches of roses as bunches of lilies.
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jk its b. love yah
A coin is unbalanced such that it comes up tails 55% of the time.
a.what is the probability that you don't flip a head until the fourth flip?
b.what is the probability that you don't flip a tail until the fourth flip?
c.how many tosses would it take, on average, to flip a head?
d.how many tosses would it take, on average, to flip a tail?
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b. P[HHHT] = .45^4*.55 = .0226
c. 1/.45 = 2.222
d. 1/.55 = 1.818
Graph y ≥ (x + 2)2 Click on the graph until the correct graph appears.
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The graph shows a parabola with a solid line and shading above or on the curve to represent the inequality [tex]y\geq (x+2)^{2}[/tex] This graph visually illustrates the solution set for the given inequality.
To graph the inequality [tex]y\geq (x+2)^{2}[/tex] we first need to plot the parabola [tex]y=(x+2)^{2}[/tex] with a solid line. The vertex of the parabola is at [tex](-2,0)[/tex] and it opens upwards.
Next, we shade all the regions above or on the parabola to represent the inequality [tex]y\geq (x+2)^{2}[/tex] Since the inequality includes "or equal to" [tex](\geq )[/tex] we use a solid line for the graph of the parabola.
By following these steps, we create a graph where the area above or on the parabola is shaded, indicating the solutions to the inequality [tex]y\geq (x+2)^{2}[/tex] his shading represents all the points.
where the y-values are greater than or equal to the corresponding y-values on the parabola. The solid line ensures that points on the parabola itself are included in the solution set.
In summary, the graph shows a parabola with a solid line and shading above or on the curve to represent the inequality [tex]y \geq (x+2)^{2}[/tex] This graph visually illustrates the solution set for the given inequality.
A number cube numbered from 1 to 6 is rolled. what is the probability of the number cube showing a 5 or an even number?
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The measure of a squares side is 1.2 feet. What is the perimeter of the square in inches?
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perimeter = 4 * 14.4 = 57.6 inches.
simplify 15r+7r+9r-7s
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12r + 2r
14r
_____________________
12r + 2r = simplified
answer is 14r
______________________
Hope this helps,
QueenBeauty666
The product of some negative number and 10 less than three times that number is 25. find the number.
Answers
n=2+1/3√111 or n=2+-1/3√111
Fifty-eight boys were asked if they play football and/or baseball. Thirty-one of them said they do not play baseball. Sixteen of them said they play football. Twenty of them said they do not play baseball or football.
Enter your answers in the boxes to complete the two-way table based on the given data.
Answers
We start out placing 31 in the Total column beside the Don't Play Baseball row. We then place 16 in the Total row under the Play Football column. 20 goes in the Don't Play Baseball row under the Don't Play Football column.
Since there are 31 people that do not play baseball, and 20 of them don't play football, this leaves us with 31-20=11 that do not play baseball and play football.
There are 58 people total, so this goes in the Total row under the Total column.
There are 58 people, and 31 of them do not play baseball; this leaves us 58-31=27 total that play baseball.
16 total people play football, and 11 of them don't play baseball. This leaves us 16-11=5 people that play football and play baseball.
There are 58 people, and 16 of them play football; this leaves us 58-16=42 total that don't play football.
42 people don't play football, and 20 of them don't play baseball; this leaves us 42-20=22 people that don't play football and play baseball.
5 people play baseball and play football, and 22 people play baseball and don't play football; this gives us 5+22=27 people total that play baseball.
Maria is traveling for business. She starts by traveling from Mexico City to Singapore which is about 1.26 x 104 miles. She then travels from Singapore to New York which is approximately 9.53 x 103 miles. What is the total distance that Maria traveled?
Answers
1.26 x 104 = 131.04
9.53 x 103 = 981.59
131.04 + 981.59 = 1112.63
Hope this helps :)
Answer:
D
2.213 x 10^4 miles
Step-by-step explanation:
Took the test
K(x)=10x+5 inverse function
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The inverse of the function is k(x) = [tex] \frac{x - 5}{10} [/tex]
You can find the inverse of any function by switching the k(x) value and the x value. After that, solve for the new k(x). The result will be your inverse function. The step-by-step process is below.
k(x) = 10x + 5 ----> Switch the x and k(x)
x = 10k(x) + 5 ----> Subtract 5 from both sides
x - 5 = 10k(x) ----> Divide both sides by 10.
[tex] \frac{x - 5}{10} [/tex] = k(x) ----> Now switch the order for formatting
k(x) = [tex] \frac{x - 5}{10} [/tex]
And this is your new inverse function.
Daniel is setting up rows for a concert. He decides to put 9 chairs in each row. There are 45 chairs. Let x represent the number of rows of chairs. Which equation can be used to find the number of rows of chairs Daniel needs to set up?
Answers
*divide 45 by 9 which is 5
x=5
hope this helps!
The path of a rocket ship is given by the parametric equations x(t)=3t and y(t)=4t^2+1, where t is the time in seconds after launch. Where is the ship after 10 seconds?
A.) (3,4)
B.) (3,5)
C.) (30,401)
D.) (30,501)
Answers
y(t)=4t^2+1
Time (seconds):
Where is the ship after 10 seconds?
t=10→Position: Point: P=(x(t), y(t))=(x(10), y(10))=?
t=10→x(10)=3(10)→x(10)=30
t=10→y(10)=4(10)^2+1=4(100)+1=400+1→y(10)=401
Position: P=(x(10), y(10))=(30, 401)
Answer: Option C.) (30, 401)
Martha states that –6 is a rational number. Which is a correct explanation for this statement?
The number –6 is the opposite of 6.
The number –6 is a negative integer.
The number –6 can be written as -6/1
The number –6 is less than 0.
Answers
Martha's statement saying - 6 is a rational number is correct as - 6 can be written as - 6/1.
What are rational numbers?Rational numbers consist of fractions and integers.
Any rational number can be written in the form of p/q, where q ≠ 0.
Any integer can be written in the form of a rational number p/q, where q ≠ 0 and q = 1.
Given, Martha states that - 6 is a rational number.
First, it is a negative integer but it can be written in the form - 6/1 as - 6/1 is equal to 6.
learn more about rational numbers here :
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Martha is correct in stating that -6 is a rational number because it can be written as -6/1.
Explanation:Martha is correct in stating that -6 is a rational number because it can be written as -6/1. A rational number is any number that can be expressed as a fraction, where both the numerator and denominator are integers. In this case, -6 can be written as the fraction -6/1.