Answer:
Step-by-step explanation:
[tex]\frac{21}{26}*\frac{7}{26}\\ =\frac{147}{676}[/tex]
The probability of students who plays both basketball and baseball is 2/13
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 number of students who plays basketball and baseball = n ( A ∩ B )
Let the number of students who plays basketball be = n ( A )
The value of n ( A ) = 21
Let the number of students who plays baseball be = n ( B )
The value of n ( B ) = 7
Now , 2 students does not play any sports out of the 26 students
So , n ( A ∪ B ) = 26 - 2
n ( A ∪ B ) = 24
Now , from the set theory formula ,
n(A∪B) = n(A) + n(B) - n(A⋂B)
Substituting the values in the equation , we get
24 = 21 + 7 - n ( A ∩ B )
Adding n ( A ∩ B ) on both sides , we get
n ( A ∩ B ) + 24 = 28
Subtracting 24 on both sides , we get
n ( A ∩ B ) = 4
So . the number of students who plays both basketball and baseball = 4
And , the probability that the student chosen plays both basketball and baseball = number of students who plays both basketball and baseball / Total number of students
Probability that the student chosen plays both basketball and baseball
= 4 / 26
= 2 / 13
Hence , The probability of students who plays both basketball and baseball is 2/13
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I don’t know what to do for this
Answer:
Step-by-step explanation: then let's be kinda quaint in the matter. And assume your understanding of word integration in a 5-Manifold?
Please help
Use the following data set to answer questions 9-16:
11, 18, 8, 15, 24, 14 9.
9. Identify the median. Round to the nearest tenth.
10. Calculate the mean. Round to the nearest tenth.
11. Calculate the mode. Round to the nearest tenth.
12. Predict how the median will change if a 21 is added to the data set. Identify the new median.
13. Predict how the mean will change if an 18 is added to the data set. Calculate the new mean.
Answer:
9. Median: 14
10. Mean: 14.1
11. Mode: No Mode
12. New Median: 14.5
13. New Mean: 14.625
pls help sixowiskosixo
The given question is a quadratic equation and we can use several methods to get the solutions to this question. The solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4
Quadratic EquationQuadratic equation are polynomials with a second degree as it's highest power.
An example of a quadratic equation is
[tex]y = ax^2 + bx + c[/tex]
The given quadratic equation is [tex]24x^2 + 2x = 15[/tex]
Let's rearrange the equation
[tex]24x^2 + 2x = 15\\24x^2 + 2x - 15 = 0[/tex]
This implies that
a = 24b = 2 c = -15The equation or formula of quadratic formula is given as
[tex]y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}[/tex]
We can substitute the values into the equation and solve
[tex]y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\\y = \frac{-2 +- \sqrt{2^2 -4 * 24 * (-15)} }{2*24} \\y = \frac{-2+-\sqrt{4+1440} }{48} \\y = \frac{-2+-\sqrt{1444} }{48} \\y = \frac{-2+- 38}{48} \\y = \frac{-2+38}{48} \\y = \frac{3}{4}\\ \\or\\y = \frac{-2-38}{48} \\y = \frac{-40}{48} \\y = -\frac{5}{6}[/tex]
From the calculations above, the solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4
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a right triangle has a hypotenuse of 25 inches and a height of 7 inches .what is the area of the triangle?
87.5
25x7=175
175/2=87.5
1000 ft.
Problem 3.2
100 ft.
A large rectangular swimming pool is 1000 feet long,
100 feet wide, and 10 feet deep.
The pool is filled to the top with water.
How much water does the pool hold?
Submit
Answer:
1,000,000
Step-by-step explanation:
you just get the Volume of the shape
the units of a two-digit numeral is 5 more then the tens digit. the number is three times the sum of its digits. find the numeral
Answer:
27
Step-by-step explanation:
Let x = ten's digit
Let y = units' digit
Given: the units of a two-digit numeral means
that our final answer will be a 2 digit number (xy)
Given: 5 more than the tens digit means
y is 5 more than x (y = x + 5)
Given: the number is three times the sum of its digits.
xy is 3 times x + y
A two digit positive integer can be written as 10x + y, where x is the tens digit and y is the ones digit
y = x + 5 and 10x + y = 3(x + y)
x - y = -5
7x - 2y = 0
Multiply the first equation by -2:
-2x + 2y = 10
7x - 2y = 0
Add the equations to get 5x = 10
So, x = 2 and y = x + 5 = 7
Reminder:
Let x = ten's digit
Let y = units' digit
The number is 27
What is the area,in square meters,of the isosceles trapezoid?
Step-by-step explanation:
the area of a trapezoid is
(base1 + base2)/2 × h = (18.6 + 9.2)/2 × 7.2 =
= 27.8/2 × 7.2 = 13.9 × 7.2 =
= 100.08 m²
GIVING BRAINLIEST!!!!!
Answer:
x = 18
Step-by-step explanation:
The angles (x)° and (4x)° are complementary, meaning they form a 90° angle.
x + 4x = 90Combine like terms :
x (1 + 4) = 905x = 90Divide both sides by 5 :
5x/5 = 90/5x = 18#17. estimate the perimeter and the area of the shaded figure
Answer:
perimeter of pentagon is 5s
area of Pentagon is 1/2 P*a
Express 0.57 in the form p where p and q are integers o and q # 0
please give with correct step everyone
Answer:
57/100
Step-by-step explanation: 0.57 can also be written as 57/100 which is equal to 0.57
Sally is packing for a holiday when she realizes that she only has enough room in her suitcase for two pairs of shoes. She randomly selects two pairs to pack from the 31 pairs of shoes that she owns in total.
If Sally has 6 pairs of high heels, what is the probability that she packs at least one pair of these?
Probability =__________
Using the hypergeometric distribution, it is found that there is a 0.3548 = 35.48% probability that she packs at least one pair of high heels.
What is the hypergeometric distribution formula?The formula is:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.In this problem, we have that:
She has 31 pairs of shoes, hence N = 31.She has 6 pairs of high heels, hence k = 6.She selects two pairs, hence n = 2.The probability that she packs at least one pair of high heels is given by:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,31,2,6) = \frac{C_{6,0}C_{25,2}}{C_{31,2}} = 0.6452[/tex]
Then:
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.6452 = 0.3548[/tex]
0.3548 = 35.48% probability that she packs at least one pair of high heels.
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Can someone please answer this, ill give you brainliest Would be very appreciated.
Answer:
See below ~
Step-by-step explanation:
More revenue would be generated at $5 than $17 because on the graph, when the price is at $5, there is about $3750 in revenue compared to when the price is $17, the revenue is $2500.The company should sell their product at $10. At this price, the revenue they will make is $5,000.The domain is the possible intervals in which x lies. Therefore, the domain is : 0 ≤ p ≤ 20.What two operations would you use to solve the equation 3/4m - 6 = 12
-multiplication
-division
-addition
-subtraction
To solve this expression, we can use the mathematical operations: addition, multiplication and division. So the correct value, will be m = 1/24
This expression is an equation of the first fractional degree. To calculate, let's:
— move the negative - term to the other side of the positive equation, thus adding:
3/4m - 6 = 12
3/4m = 12 + 6
3/4m = 18
— Now, let's calculate without being fractional. We will isolate the variable multiply the terms with each other:
3/4m = 18
3 = 4m . 18
3 = 72m
— Finally, we'll turn this equation into a fraction, like this - simplifying the numerator and denominator by the same real number:
3 = 72m
m = 3/72
m = 3÷3 / 72÷3
m = 1/24
Therefore, the correct value of this expression is m = 1/24
HELP NOW PLEASEE
h(x)=x^(2)+x+9
find h (-2)
find h (4)
and find h (0)
Answer:
11, 29, 9
Step-by-step explanation:
substitute x = - 2, 4, 0 into h(x)
h(- 2) = (- 2)² + (- 2) + 9 = 4 - 2 + 9 = 2 + 9 = 11
h(4) = 4² + 4 + 9 = 16 + 4 + 9 = 29
h(0) = 0² + 0 + 9 = 0 + 0 + 9 = 9
-6-5 (subtracting integers))
Just adding both the numericals because they both have same sign that is negative
-6-5
-11 answer
Answer:
-11
Step-by-step explanation:
Change the minus sign to addition
6 + 5
= 11
= -11
it is negative 11 because since the signs are the same in front of the 2 numbers (negative sign) they both add together and keep the negative in front of it
Answer = -11
Agree & disagree statements: CIrcles
Circle A has a diameter of 18 inches.
Circle B has a circumference of 36 inches.
write the letter of the card in the correct column next to the letter, write your explanation as to why it belongs in the agree or disagree columns.
1. Circle A has an approximate circumference of 56.5 inches. true or false? explain.
2. Circle A has an area of 324r in2, True or false? explain
3. Circle A is approximately 151 square inches greater than Circle b. True or false ? explain.
Answer:
Hope the pictures will help you
they take 5 days to drive 679 miles to Seattle, how many miles will they drive each day?
Answer:
135.8
Step-by-step explanation: 679miles/5days =135.8miles/days
I hope it help
If they take 5 days to drive 679 miles to Seattle. Then the number of miles that they drive each day will be 135.8 miles per day.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
They take 5 days to drive 679 miles to Seattle.
Then the number of miles that they drive each day will be
→ 679 / 5
→ 135.8 miles per day.
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Pam earns x dollars, Ryan earns (x+60) dollars and Rufus earns (x - 10) dollars. Together they earn a total of 530 dollars.
a) Calculate the value of x
b) the amount Ryan earns.
Answer:
A) 160 B) 220
Step-by-step explanation:
Combine like terms.
3x + 50 = 530.
Subtract 50 from both sides.
3x = 480.
Divide both sides by 3.
x = 160.
Since Ryan earns x + 60, add 60.
160 + 60 = 220.
I need help with this problem
Answer:
a = -4
Step-by-step explanation:
(a + 2)/2 = - 1
a+2 = -1 * 2
a = - 2 - 2
a = -4
Answer:
-2.5
Step-by-step explanation:
soo your objective is to make a alone
first remove the denominator
a+2 / 2 = -1
a + 2 = -1/2
now minus 2 to both sides
a = -1/2 - 2
a = -2 1/2
A grandson's age in months is equal to his grandfather's age in years. The difference
of the grandson's age in years and the grandfather's age in years is 77. Find the
grandson's age in years.
The difference of the grandson's age in years and the grandfather's age in years is 77. Therefore, the age of the grandson is 7 years.
How to use equations to find the age?
A grandson's age in months is equal to his grandfather's age in years.
Recall,
12 months = 1 year
Hence,
let
x = age of grandson in month
It is the same age in years for the grandfather.
Therefore,
x = age of grand father in years
The difference of the grandson's age in years and the grandfather's age in years is 77. Therefore,
x - x / 12 = 77
12x - x/12 = 77
11x / 12 = 77
cross multiply
11x = 924
x = 924 / 11
x = 84
Therefore, the grandson age in in years is 84 / 12 = 7 years.
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Araba bought an electric Cooker for 540.00 ghanacedis at a discount of 10%.Find the actual price of the eletric cooker.
Answer:
600.00
Step-by-step explanation:
Understanding :
Let P be the actual price of the containerSince there was a 10% discount, 540.00 is 90% of the actual price0.9P = 540P = 540.00/0.9P = 600.00600.00 is the actual price of the electric cooker.
The circle graph shows how Elsa divides her time between all of the sports she plays per week.
Elsa played sports for 20 hours last week. How many more hours did she play baseball than volleyball?
Answers:
A:1
B:3
C:4
D:5
The number of more hours spent on baseball than volleyball is 3 hours. The correct option is B:3
Calculating time spent on sportFrom the question, we are to determine how many hours Elsa played baseball than volleyball
From the given information,
Elsa played sports for 20 hours
From the circle graph,
She spent 25% of the time on baseball
Time spent on baseball = 25% × 20 hours
Time spent on baseball = (25/100) × 20 hours
Time spent on baseball = 0.25 × 20 hours
Time spent on baseball = 5 hours
For time spent on volleyball
From the circle graph, she spent 10% of the total time on volleyball
Time spent on volleyball = 10% × 20 hours
Time spent on volleyball= (10/100) × 20 hours
Time spent on volleyball= 0.1 × 20 hours
Time spent on volleyball= 2 hours
The number of more hours spent on baseball than volleyball
= 5hours - 2 hours
The number of more hours spent on baseball than volleyball = 3 hours
Hence, the number of more hours spent on baseball than volleyball is 3 hours. The correct option is B:3
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A+B+A+D=32
What does A+B=?
The value of A+B is 16
This question is related to division.To solve it, we will: divide the number after the equality, by the total number of variables (letters) that have.
A + B + A + D = 32
32 ÷ 4 = 8
< We know that the value of each variable is 8. So, to find the value of A + B, let's just add their respective values.
A + B
8 + 8 = 16
So, the value of A + B will be 16
Which of the following formulas expresses h in terms of l and s?
(choices shown in attached image)
(picture for problem shown in attached image)
Answer: D
Step-by-step explanation:
Lisa
and penny are guests at a beachside hotel. lisa is laying on a towel at the beach which is 50 feet from the base of the hotel. when shi
looks up at an angle of 54.5 degrees, she can see her sister penny waving to her from the hotel window.
draw a scale representation of the triangle that models the situation and can be solved to find the stralght-line distance between penny
and lisa. round calculations to the nearest foot. each unit on the grid represents five feet.
drawing tools
click on a tool to begin drawing.
& delete
undo
0 reset
select
point
line segment
The straight-line distance between penny and Lisa is 70.1 feet if Lisa is laying on a towel at the beach, which is 50 feet from the base of the hotel.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
Let's suppose the distance between the Lisa and Penny is x feet.
We can draw a right-angle triangle for this situation.
As we can see in the right angle triangle.
tan54.5 = x/50 (from the right-angle triangle)
x = 50tan54.5
x = 70.09 ≈ 70.1 feet
Thus, the straight-line distance between penny and Lisa is 70.1 feet if Lisa is laying on a towel at the beach, which is 50 feet from the base of the hotel.
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solve for x
x/7 = 3/5 enter answer as decimal
Hey there!
ORIGINAL EQUATION:
x/7 = 3/5
CROSS MULTIPLY THE FRACTIONS
x(5) = 3(7)
5(x) = 3(7)
SIMPLIFY IT!
5x = 21
DIVIDE 5 to BOTH SIDES
5x/5 = 21/5
SIMPLIFY IT!
x = 21/5
x = 4 1/5
Therefore, the answer should be:
x = 21/5
OR
x = 4 1/5
EITHER OF THOSE SHOULD WORK BECAUSE THEY ARE BOTH EQUIVALENT TO EACH OTHER!
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Simplify this expression.
8(h-4)-h-(h+7)
Solve step-by-step
Answer:
6h - 39 or 3(2h - 13)
Step-by-step explanation:
Distribute the terms in the parentheses.
8(h - 4) - h - (h + 7)8h - 32 - h - h - 7Combine like terms
8h - h - h - 32 - 76h - 393(2h - 13) [by grouping]8 (h - 4) - h - (h + 7)
8h - 32 - h - h - 7
6h - 39
3 (2h - 13)
Tyrone receives a discount of $8.40 on a hat that normally costs $28.00 .
what percent discount did he receive on the hat
explain how you know
please explain for me
Answer:
30%
Step-by-step explanation:
percentage = (discount/total amount)*100
= (8.40/28)*100=30%
complete the solution of the equation. find the value of y when x equals -2. -9x-3y=6
Answer:
y= 4
Step-by-step explanation:
-9x-3y=6
Let x = -2
Substitute for x in the equation
-9(-2) -3y = 6
18 -3y = 6
Subtract 18 from each side
18-3y-18 = 6-18
-3y = -12
Divide by -3
-3y/-3 = -12/-3
y = 4
the path of a cliff diver as he dives into a lake, is given by the equation y = -(x-10)^2+75, where y metres is the diver’s height above the water and, x meters is the horizontal distance travelled by the diver. what is the maximum height the diver is above the water?
Answer:
The highest point will be (10, 75)
Step-by-step explanation: