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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(-2,-4)
Oy=(x + 2)² +4
Oy=(x - 2)²-4
Oy=-(x - 2)²-4
Oy=-(x + 2)² - 4
Answer:
[tex]\textsf{D)} \quad y=-(x+2)^2-4[/tex]
Step-by-step explanation:
Vertex form of a quadratic equation:
[tex]y=a(x-h)^2+k[/tex]
where:
[tex](h, k)[/tex] is the vertex[tex]a[/tex] is some constantFrom inspection of the graph, the vertex (turning point) is (-2, -4).
Substituting the vertex into the equation:
[tex]\implies y=a(x-(-2))^2+(-4)[/tex]
[tex]\implies y=a(x+2)^2-4[/tex]
As the parabola opens downwards, [tex]a < 0[/tex]:
[tex]\implies y=-a(x+2)^2-4[/tex]
The curve intercepts the y-axis at (0, -8).
Inputting this into the equation and solving for [tex]a[/tex]:
[tex]\implies -8=-a(0+2)^2-4[/tex]
[tex]\implies -4=-4a[/tex]
[tex]\implies a=1[/tex]
Therefore, the equation of the graph is:
[tex]y=-(x+2)^2-4[/tex]
Answer:
y = -(x + 2)² - 4
Step-by-step explanation:
Vertex form of an equation :
y = a(x - h)² + k
Vertex = (h, k)Substituting the coordinates of the vertex in the equation :
y = (x -(-2))² + (-4)
y = (x + 2)² - 4
y = -(x + 2)² - 4 (as the graph opens downwards)
Help me please it’s l haven’t learnt it
the horizontal axis is the bottom (____), the title is usually hiden in the task name
The egg delivery truck arrives to savers supermarket with 250 dozen eggs. how many total eggs are in that truck.
Answer:
3000
Step-by-step explanation:
12x250=3000
A scientist uses a submarine to study ocean life.
• She begins at sea level, which is an elevation of o
feet.
. She travels down 20.6 feet.
. She then rises 12.5 feet.
• Next, she descends a second time, 32.4 feet.
How many feet must she now ascend to get back to
sea level?
Based on the illustration given above, the feet that she now need to ascend to get back to sea level is 40.5.
What is the sea level about?Note that the first descend was 20.6 - 12.5 =
8.1 feet
Then she drop 32.4 feet again
So to get back up she need to add:
= 32.4 feet + 8.1 feet
= 40.5
Therefore, based on the calculation given above, the feet that she now need to ascend to get back to sea level is 40.5.
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(PLEASE HELP) What are the values of a and b that make this equation have solutions of {3, -2}? (x + a)(x + b) = 0
Answer:
x = -a or x = -b
Step-by-step explanation :
4) The radius of a circle is 9 feet. What is the circle's area?
r=9 ft
4) Use 3.14 for л.
square feet
Answer:
254.34 square feet
Step-by-step explanation:
Area of a circle: πr²
Given:
π = 3.14r (radius) = 9 ftSubstitute the given values into the formula:
A = (3.14)(9)²
A = (3.14)(81)
A = 254.34 ft²
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this is an escape room i can't escape
Answer:
The area of the rectangle is 180 units
Step-by-step explanation:
6 + 2 + 2 = 10
But the areas of each sectioned off shape are
Big rectangle = 180
Small rectangle = 48
2 by 8 triangles = each 8
3 by 8 triangles = each 12
Altogether, it's 268
Answer:
268 square yards
Step-by-step explanation:
small L rectangle 8 x 6 =48
two L triangles 2 * 1/2 * 2 * 8 = 16
Large rectangle 18 x 10 = 180
two R triangles 2 * 1/2 3 x 8 =24 Total = 268 yds^2
PLEASE HELP ME IM SO CONFUSED!!! i need answers 10-12
Answer: Heyaa! ~
10. 8√2
11. 2h²√3
12. 2h³√5k⁴
Step-by-step explanation:
- Lets solve it together!
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Hopefully this helps you!
one of the legs of a right triangle measured 12cm and the other leg measures 7cm find the measure of the hypotenuse
Answer: 14
Step-by-step explanation: The Pythagorean Theorem states that a^2 + b^2 = c^2, where a=leg one, b=leg two, and c=hypotenuse. Using this, our formula will be 12^2 + 7^2. Twelve squared is 144, and seven squared is 49. Added together, the sum is 193. To change this to an unsquared form we must square root it. [tex]\sqrt{193}[/tex] equals about 13.89. Fourteen if you round up to the nearest whole number. But just a warning, I don't know what place you are supposed to round to so you may have to use the underlined value instead.
Answer:
Using pythagoras theorem : hypotenuse² = opp² + adj ²
: hyp² = 12² + 7²
hyp² = 193
therefore hypotenuse = root of 193
Hope it helps
Solve for x. Round to the nearest tenth, if necessary.
If johnny had 609898 cupcakes and gave 2323 away how much would he have left
Answer:
607,575 cupcakes
Step-by-step explanation:
Highschool math? haha
609898 - 2323 =
607,575
On Tuesday 1/3 of students were absent. Thursday 1/9 were absent. If 20 more students were absent on Tuesday than Thursday, how many students are there in the school?
Answer:
There are 90 students in this school.
Step-by-step explanation:
Answer:
90 students are in the class
Step-by-step explanation:
So basically, you need to make this ration fraction equation:
[tex]\frac{1}{3} \\\\[/tex] - [tex]\frac{1}{9} \\[/tex] = 20 .
you would come up with 2/9 is 20.
Times it by both sides and you will get 180=2x.
Note this x is added so you will get a variable and not get confused.
Then, your answer would become x=90.
PLS HURRYYYY ITS DUE TODAY!!!
Malik is cutting boards for a project. He needs boards that are 712 inches long. He cut his first board too long. His percent error was 12%.
How long did Malik cut the board?
Enter your answer as a mixed number in simplest form in the box.
in.
Answer:
85 44/100
Step-by-step explanation:
I think this is the corect anser
Answer:
8 2/5
7 1/2 times 12 divided by 100 = 0.9
7 1/2 + 0.9 = 8.4
as a mixed number it would be 8 2/5
Step-by-step explanation:
Five different numbers are such that, 2 are odd, the median is 7, the mean is 8 and all numbers are less than 13. What are the five numbers?
Vince is cutting fabric strips for a project. He needs fabric strips that are 1212 inches wide. He cut his first fabric strip too wide. His percent error was 5%. How wide did Vince cut the fabric strip?
Answer:
13.125 inches wide
Step-by-step explanation:
5% more than 12.5 which is 12 1/2 as a decimal, equals 13.125 inches.
Multiply your needed fabric width (12.5 or 12 1/2) by (1 + %/percent you're increasing it by) to equal the width you cut instead:
[tex]12.5(1+5) = 12.5(1.05) = 13.125[/tex]
Solve the following using inverse matrix also indicate the inverse matrix A-1 that was used to solve the system
7X+8Y=3
4X+6Y=-2
simplify square root can you put the steps i would love if you helped me
1. √72
2. √144
3. √45
the average of two numbers is 41. If one of the numbers is 27, what is the other number?
The other number if the average of two numbers is 41 and one is 27 is 55
How to calculate the average of numbers?Average of number is also known as the mean.
Let the unknown number be "x" such that:
x +27/2 = 41
Determine the value of x
x + 27 = 2(41)
x + 27 = 82
x = 82 - 27
x = 55
Hence the other number if the average of two numbers is 41 and one is 27 is 55
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One cubic foot of concrete weighs about 145 pounds. What is the weight of 19 cubic feet of concrete?
Answer:
2755
Step-by-step explanation:
One cubic foot=145 pounds, so we can do 145x19=2755 lbs.
The required weight of 19 cubic feet of concrete is 2755 pounds.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
One cubic foot of concrete weighs about 145 pounds.
weight of 19 cubic feet of concrete = 19 × 145 = 2755 pounds.
Thus, the required weight of 19 cubic feet of concrete is 2755 pounds.
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A store pays $68 for a chest of drawers and markers the price up by 50% what is the amount of the mark up
Answer:
$102.00
Step-by-step explanation:
Simply multiply 68 by 50 percent
68 × 50% or 68 × .5 = 34
so . .
Add 68 + 34 = 102
PLEASE HELP GIVING BRAINLIST!!!!! What is the perimeter of the shape below?
Area of the rectangle
LB92(40)3680ft²Area of trapezoid
1/2(sum of parallel sides)(Height)1/2(5+92)(40-5)1/2(97)(35)3395/21697.5ft²Total
3680-1697.51982.5ft²Paul drove for one and a half hours at 65 mph before he realized he had forgotten his wallet. After Paul drove home and grabbed the wallet, he realized that he had only three hours to go one hundred eighty miles. At what speed should he drive to cover the distance in time?
Select the correct answer.
Courtney constructed this figure using a compass with its width set equal to PR, the radius of the circle.
She claims triangle PRS is equilateral because all three sides of the triangle are equal to PR. She also claims that applying the same argument to prove each triangle in the figure is equilateral proves that the inscribed hexagon is also equilateral.
Which statement is true?
A.
Courtney's reasoning about triangle PRS is correct, but the hexagon is not equilateral.
B.
Courtney's reasoning about triangle PRS is correct, and the hexagon is equilateral.
C.
Courtney's reasoning about triangle PRS is incorrect, and the hexagon is not equilateral.
D.
Courtney's reasoning about triangle PRS is incorrect, but the hexagon is equilateral.
Answer:
B.Courtney’s reasoning about triangle PRS is correct, and the hexagon is equilateral.
Step-by-step explanation:
The volume of this cylinder is 944.11008 cubic centimeters. What is the height?
Answer:
h = 5.80
[tex]V = \pi r^2h[/tex]
[tex]h = \frac{V}{\pi r^2} = \frac{944.11}{\pi \cdot 7.2^2} = 5.79[/tex] ≈ 5.80
If f(x) = 6x+2, find f(-4).
Answer:
-22
Step-by-step explanation:
It would be negative -22
6*(-4)+2
-24+2
-22
Hope this helps :)
Answer -
[tex]f(x) = 6x + 2 \\ \\ \implies \: f( - 4) = 6( - 4) + 2 \\ \\ \implies \: f( - 4) = - 24 + 2 \\ \\ \implies \: f(x) = - 22[/tex]
hope helpful ~
Select the correct line plot that accurately shows the data set above.
Answer:
B
Step-by-step explanation:
1,2 2,3 1,6 1,9 3,10 2,11 1,13 3,15 3,16 2,17
x,y
x= how many goals they made were the same
y= the actual number of soccer goals
(This is just how I organized how to make the chart)
reflection across y = 1
Answer:
Vertical Reflection Apply a reflection over the line y=-1 The procedure to determine the coordinate points of the image is the same as that of the previous example with minor differences in that the change will be applied to the y-value and the x-value stays the same.
Step-by-step explanation:
BRAINLIST PLEASEneed help asap please
Answer:
The radius of the circle r=12.
The area of a circle is 144π.
Step-by-step explanation:
The radius of the circle is r where 2πr=24π, r=12.
The area of a circle with radius 12 is
A=πr², A=π12², A=144π.
I’ll mark brainly if u answer this
Answer:
C) <AFL
Step-by-step explanation:
The middle angle typically goes in the middle of the three letters. So, the naming should look like <FAL or <LAF. The letter A would have to remain in the middle for the naming to be correct.
Angles can be named in these following ways:
- By three capital letters (vertex (middle point) always in the middle)
In this case it would be <FAL or <LAF.- By one capital letter (typically the vertex)
In this case it would be <A- By a lowercase letter or number that is in the middle of the angle
In this case it would be <5.Therefore, the incorrect naming would be C) <AFL, since the vertex isn't in the middle.
Hope this helps!! If you have questions please let me know in the comments!
Helpppp pleaseeeee is
Answer:
Step-by-step explanation:a(1/2 - 1/8)/(2 - 1/2)
a. (4/8 - 1/8)/(4/2 - 1/2)
3/8 / 3/2
3/8 x 2/3 = 2/8 = 1/4
y - 1/8 = 1/4(x - 1/2)
y - 1/8 = 1/4x - 1/8
y = 1/4x
b. (1400 - 1200)/(1000 - 500)
200/500 = 2/5
y - 1200 = 2/5(x - 500)
y - 1200 = 2/5x - 200
y = 2/5x + 1000
c. (41.85 - 13.95)/(3 - 1)= 27.90/2 = 13.95
y - 13.95 = 13.95(x - 1)
y - 13.95 = 13.95x - 13.95
y = 13.95x
d. (2.34 - 0)/(15 - 0)= 2.34/15 = .16 or .156
y = .16(x - 0)
y = .16x
or y = .156x
