21 people travelled to a meeting.
12 used a train.
6 used a car.
7 did not use a train or a car.
Some used a train and a car.
Two people are chosen at random from those who used a train.
Find the probability that both these people also used a car.
Answer:
answer = 1/11
Step-by-step explanation:
The addition rule of probability.
P (T + C) = P(T) + P(C) - P(T ∩ C)
The probability that both these people also used a car given that both of them use a train is 1/11.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
The number of people who used the train and the car.
P (T U C) = 21 - 7 = 14
P(T) = Probability of the number of people who used the train = 12
P(C) = Probability of the number of people who used the car = 6
From the addition rule of probability.
P (T + C) = P(T) + P(C) - P(T ∩ C)
14 = 12 + 6 - P(T ∩ C)
P(T ∩ C) = 12 + 6 - 14 = 18 - 14 = 4
Now,
Two people are chosen.
P(C/T):
= P(T ∩ C) / P(T)
= [tex]^4C_2[/tex] / [tex]^{12}C_2[/tex]
= (4 x 3 / 2) / (12 x 11 / 2)
= 6 / 6 x 11
= 1/11
Thus,
The probability that both these people also used a car given that both of them use a train is 1/11.
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please help me?
please and thank you!
Answer:
-1/12
Step-by-step explanation:
change divide sign to multiply by reciprocating
Jamal bought a package of 50 water balloons and used 35 of them with his friends. What percent of the water balloons did Jamal use?
Answer:
70%
Step-by-step explanation:
Math
Answer:
70%
Step-by-step explanation:
HOW TO:
To convert a number into percent multiple it by 100 and then add the percent sign. These examples convert the numbers 23 and 158 to percents. To convert a number with a decimal into percent, multiply it by 100 and add the percent sign.
Figure Out:
50 = 100%
25 = 50%
Therefore, the only legible solution would be 70%
1.
Write an equation in point-slope form for the line through the given point with the given slope.
(10, –9); m = –2
A. y – 10 = –2(x + 9)
B. y – 9 = –2(x – 10)
C. y + 9 = –2(x – 10)
D. y – 9 = –2(x + 10)
Answer:
C
Step-by-step explanation:
Use this formula: y - y1 = m(x - x1) Given (10, -9) and slope (m) = -2
y - (-9) = -2(x - 10)
y + 9 = -2(x - 10)
Answer:
C. y + 9 = –2(x – 10)
Step-by-step explanation:
Coordinates (xA, yA)
10
-9
Slope(m)
-2
Point Slope Form
-2x - y + 11 = 0
46. Mean of n observations is š. If each of these
observations is increased by 1, 2, 3, 4...n, respec-
tively, then what will be their mean?
==============================================================
Explanation:
Consider the set
[tex]\left\{x_1,x_2,x_3,\ldots,x_n\right\}\\\\[/tex]
which has n items in it. We don't know anything about any individual item, but what we do know is that the mean is S.
So,
[tex]\text{mean} = \frac{\text{sum of values}}{\text{number of values}}\\\\\text{mean} = \frac{x_1+x_2+x_3+\ldots+x_n}{n}\\\\S = \frac{x_1+x_2+x_3+\ldots+x_n}{n}\\\\nS = x_1+x_2+x_3+\ldots+x_n\\\\x_1+x_2+x_3+\ldots+x_n = nS\\\\[/tex]
In short, the sum of the values [tex]\left\{x_1,x_2,x_3,\ldots,x_n\right\}\\\\[/tex] is exactly nS, where S is the mean of the same set.
------------------------
Next, we add 1 to [tex]x_1[/tex], add 2 onto [tex]x_2[/tex], etc to form this new set
[tex]\left\{x_1+1,x_2+2,x_3+3,\ldots,x_n+n\right\}\\\\[/tex]
Let's find the mean like so
[tex]\text{mean} = \frac{\text{sum of values}}{\text{number of values}}\\\\\text{mean} = \frac{(x_1+1)+(x_2+2)+(x_3+3)+\ldots+(x_n+n)}{n}\\\\\text{mean} = \frac{\left(x_1+x_2+x_3+\ldots+x_n\right)+\left(1+2+3+\ldots n\right)}{n}\\\\\text{mean} = \frac{nS+0.5n(n+1)}{n}\\\\\text{mean} = \frac{n(S+0.5(n+1))}{n}\\\\\text{mean} = S+0.5(n+1)\\\\[/tex]
which is why S+0.5(n+1) is the answer
------------------------
Let's look at a concrete example.
Consider the set {1,7,10} which has n = 3 items in it.
Its mean is,
S = (1+7+10)/3 = 18/3 = 6
Now increase the items in {1,7,10} by adding on the values {1,2,3} to each element in the order shown
1+1 = 2
7+2 = 9
10+3 = 13
So {1,7,10} becomes {2,9,13}
The mean of the new set {2,9,13} is...
mean = (2+9+13)/3 = 24/3 = 8
Notice how,
newMean = S + 0.5(n+1)
newMean = 6 + 0.5(3+1)
newMean = 8
which helps us see how the formula works and partially confirm the answer. While this example isn't definitive proof, it's still handy to go over. I recommend forming other sets to check to see that this formula works. Not only do I recommend trying different values, but also a different number of values as well (i.e. increase n to some larger integer).
What is the slope that passes through (4,4) and (-2,8)
Answer:
hope it helps you..............
Answer:
Step-by-step explanation:
An ice cream factory makes 375 quarts of ice cream in five hours.
How many quarts could be made in 15 hours
Answer:
1125 quarts
Step-by-step explanation:
5 hrs = 375 quarts
15 hrs = x quarts
5*3 = 15
375*3 = x
375*3 = 1125
1125 quarts
Find the slope-intercept form of the line passing
through the point (8,7) and parallel to the line
y = - 2x - 5.
Answer:
y = -2x + 23.
Step-by-step explanation:
If the line is parallel to
y = -2x - 5,
that means it has the SAME SLOPE. Parallel lines have the same slope, but they could have different y-intercepts.
The slope intercept form is:
y = mx + b.
m = slope.
b = y intercept.
In this case, the slope is -2.
So we know the answer will have a slope of -2.
So we can write:
y = -2x + b.
We just have to finish the answer by replacing "b" with a number.
To find out what "b" is, we plug in the point (8,7).
To plug this point in, we replace "x" with 8 and "y" with 7.
7 = -2(8) + b.
7 = -16 + b.
Now to get b by itself to solve for b, we have to add 16 to both sides.
7 + 16 = b.
b = 23.
So our final answer is: y = -2x + 23.
The mean of first ten natural numbers is
a) 55 b) 5.5 c) 6.5 d) 65
Step by step explanation
The first 10 natural numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10.
Their sum is 55 .
Their mean (average) is (55/10).
That's 5.5 . (Choice b).
Write the equation of the specified graphs below.
Answer:
Given are the transformations of the square root function:
f(x) = [tex]\sqrt{x}[/tex]Line a, translation to the left:
f(x) = [tex]\sqrt{x+3}[/tex]Line b, reflection over x-axis, translation to the right and up:
f(x) = [tex]-\sqrt{x-2}+1[/tex]Line c, translation to the left and down:
f(x) = [tex]\sqrt{x+3}-2[/tex]Line d, reflection over x-axis, translation down:
f(x) = [tex]-\sqrt{x} -3[/tex]In the same year. Of the 258 million tons of waste generated 136 million tons ended up in a landfill. What is the percentage of waste that was landfilled
Answer: 37 percent of waste is disposed of in some form of a landfill, 8 percent of which is disposed of in sanitary landfills with landfill gas collection systems
The U.S. is the king of trash, producing a world-leading 250 million tons a year—roughly 4.4 pounds of trash per person per day Collectively, out of the 254 million tons of trash Americans can produce in one year, we recycle about 34.3 percent of it. For our average individual, 710.6 pounds are recycled and 1,361.4 pounds of trash are tossed out every year — about the weight of a grizzly bear Every year, U.S. landfills are filled with 139.6 million tons of waste, including 30.63 million tons of food. 26.82 million tons of plastic. 18.35 million tons of paper and paperboard.
don't mark brainiest
2x+7y=3 and x=-4y with substitution ?
Answer:
x=12
y=-3
Step-by-step explanation:
Because we already know what the value of x, we can use that value, -4y, to substitute it into the equation 2x+7y=3.
2(-4y)+7y=3 Simplify.
-8y+7y=3
-y=3 Divide both sides by -1 (to make y positive).
y=-3
Now, we can substitute y into the other equation, x=-4y.
x=-4(-3) Simplify.
x=12
I really hope this helps!! Have a great day ❤
MATH AND SCIENCE :
If 7 giant solar power plants generate 1.3 gigawatts (GW) of energy to power 900,000
homes, how many gigawatts can 21 giant solar plants generate?
(IF YOU PUT RANDOM LETTERS I WILL REPORT PLUS PLEASE DON'T ANSWER THIS AS IT WAS A COLLEGE QUESTION ANSWER LIKE A 5TH GRADE MATH QUESTION WHICH IT IS.)
Answer: 3.9 gigawatts
Step-by-step explanation: 7 x 3 equals 21 so just multiply the 1.3 gigawatts by 3 which would mean 21 giant solar planets generate 3.9 gigawatts.
Photo above really need help
Answer:
I think it is 1/2
Step-by-step explanation:
rise/run
you go up 1 unit and you move 2 units to the side.
tom works for a company his normal rate of pay 15 per hour
The amount earned by Tom is the product of the rate per hour and the number of hours worked which is $90.
The amount earned per hour = $15 The number of hours worked = 6 hoursThe amount earned at the normal earning rate can be calculated thus :
Normal rate per hour × number of hoursAmount earned = $15 × 6 = $90
Therefore, the amount earned by Tom after working for 6 hours at the normal rate is $90.
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The total pay Tom earn for working 11 hours is £185
Given that Tom is paid £15 if he works for less than 7 hours and then paid 1 1/3 times his normal salary if he works more than 7 hours.
Given that he works for 11 hours, hence:
Pay for the first 7 hours = £15 × 7 hours = £105
Pay for the overtime = 1 1/3 × £15 × (11 - 7) = 4/3 × £15 × 4 = £80
Total pay = £80 + £105 = £185
Hence the total pay Tom earn for working 11 hours is £185
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20. If a+
[tex] \frac{1}{a} [/tex]
=
[tex] \sqrt{29} [/tex]
, find the values of 2a-
[tex] \frac{2}{a} [/tex]
Answer:
10Step-by-step explanation:
Given:
a + 1/a = [tex]\sqrt{29}[/tex]Square both sides:
a² + 1/a² + 2 = 29a² + 1/a² = 27Now, square the 2a - 2/a:
2(a - 1/a)² = 4(a² + 1/a² - 2) = 4(27 - 2) = Substitute 274*25Find the square root:
[tex]\sqrt{4*25} = 10[/tex]Graph: y < 1/3x+1/2
Answer:
(-1.5,0) (0,0.5)
Step-by-step explanation:
I graphed it
work out: 2+3+4+5 (2+3+4+5)
Answer:
2+3+4+5(2+3+4+5)=79
Step-by-step explanation
2+3+4+5×2+3+4+5=79
Therefore the answer is 79
Juan quiere saber el área de sus dos terrenos realiza las operaciones correspondientes 7 enteros un cuarto 9.50 m dos enteros 3/4 m
El área de las tierras de Juan es el producto del largo y ancho de cada pieza, por lo que el área de sus tierras son 19.9375 m² y 90.250 m² respectivamente.
El Área de las tierras de Juan se puede calcular así:
Área = largo × ancho
Tierra 1:
Dimensión = 7 ¼ metros por 2 ¾
Área de terreno 1 = 7 ¼m × 2 ¾m = 19.9375 m²
Tierra 2:
Dimensión = 9,50 metros por 9,50 metros
Área de tierra 2 = 9.50 × 9.50 = 90.250 m²
Por tanto, la superficie de los terrenos de Juan es de 19,9375 m² y 90,250 m² respectivamente.
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5.9 = x/9 round to nearest 100th
[tex]\\ \sf\longmapsto 5.9=\dfrac{x}{9}[/tex]
[tex]\\ \sf\longmapsto x=9(5.9)[/tex]
[tex]\\ \sf\longmapsto x=9(\dfrac{59}{100})[/tex]
[tex]\\ \sf\longmapsto x=53.1[/tex]
[tex]\sf \displaystyle \frac{x}{9} =5,9 \\\\x=9\cdot 5,9 =45+8,1=53,1 \\\\ \boxed{\sf x=53,1}[/tex]
Combine the like terms to create an equivalent expression:
-32-2
Answer:
-34
Step-by-step explanation:
Combine like terms
Hope this helped! Have a great day!!
Match the vocabulary word with the correct definition.
1. base angles
2. median of a triangle
3. base of an isosceles triangle
4. vertex angle
5. altitude of a triangle
A: The third, unequal side of an isosceles triangle.
B: A segment from a vertex to the midpoint of the opposite side.
C: A segment from a vertex perpendicular to the opposite side.
D: The angle formed by the two equal sides of an isosceles triangle.
E: The two angles that include the base of an isosceles triangle.
Answer:
I think answer is
1 number answer is e
2. A
3. D
4. C
5.B
PLS HELP I'LL DIRECTLY MARK YOU BRAINLIST!!!
Answer:
x=3
Step-by-step explanation:
Answer:
Perimeter of the first triangle :[tex] \longmapsto(x - 4) + (x - 5) + 5 \\ = x - 4 + x - 5 + 5 \\ = \boxed{2x - 4}[/tex]
Perimeter of the second triangle :[tex] \longmapsto(x - 10) + 10 + 16 \\ = x - 10 + 10 + 16 \\ = \boxed{x + 16}[/tex]
Now, it is given that the two triangles have same perimeter
So equating the value of the perimeter of the two triangles, we get
[tex] 2x - 4 = x + 16 \\2x - x = 16 + 4 \\ \boxed{ x = 20}[/tex]
Therefore, the value of x is 20
x = 20 is the right answer.x² - 7x + 10
x² + 7x + 12
Answer:
1
1
2
+
1
2
Step-by-step explanation:
ombine like terms
2
−
7
+
1
0
2
+
7
+
1
2
1
1
2
−
7
+
7
+
1
2
13. Is the sum of the areas of two
squares equal to the area of a large square
if the side lengths of the squares are 8 feet,
5 feet, and 3 feet? Note that the area of
a square is s2 where s is the side length explain
Answer:
multiply ata gagawin dyan Ewan
What are the x and y-intercepts of the line described by the equation?
2x+4y=12.4
Question 2 options:
x-intercept = -6.2
y-intercept = -3.1
x-intercept = -3.1
y-intercept = -6.2
x-intercept = 6.2
y-intercept = 3.1
x-intercept = 3.1
y-intercept = 6.2
Please help
Answer:
x-intercept = 6.2 , y-intercept = 3.1
Step-by-step explanation:
First turn 2x + 4y = 12.4 to slope-intercept form (y = mx + b) where m is slope and b is y-intercept.
Subtract 2x on both sides to move it to the other side, and get 4y by its self. Now it looks like 4y = -2x + 12.4 (since 2x and 12.4 aren't like terms, you wouldn't combine them).
Next, divide 4 on both side to get rid of it, and to get y by its self. Now you'll have
y = -2/4 x + 3.1 (since 12.4 can be divided by 4, that's how you get 3.1). You can already tell, just by looking at
y = -2/4 x + 3.1 , that the y-intercept is 3.1
Now we graph, to find out what the x-intercept is. I did it for you above.⤴⤴⤴
together leslie and elena have 5.25 dollars elena has 0.25 more than leslie. how much each have
Solve for x in terms of h and k:
2(2x - h) - k = 6
Brainliest if correct
From the fig. find the angle which is equal to 110˚.
Answer:x° ^56
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
They are congruent angles
one to one functions
Answer:
f(x) = x + 1 is an example
Step-by-step explanation:
This is a one to one function because when you put in an input there would be a different answer for each number put in.
A way to find out if something is a one to one function is by using the horizontal line test.
Hope this helps