Answer:
(a) 0.25
(b) 0.125
Step-by-step explanation:
The probability of the child being a boy or a girl is 50%.
That is, P (B) = 0.50 = P (G).
It is provided that the family selected has three children.
(a)
Compute the probability that the family has three boys if it is known that one child is a boy as follows:
[tex]P(3B|1B)=\frac{P(3B\cap 1B)}{P(1B)}[/tex]
[tex]=\frac{P(3B)}{P(1B)}\\\\=\frac{(0.50)^{3}}{0.50}\\\\=0.25[/tex]
Thus, the probability that the family has three boys if it is known that one child is a boy is 0.25.
(b)
Compute the probability that the family has three boys if it is known that the first child is a boy as follows:
The gender of the children are independent of each other.
So, if the first child is a boy then the probability of having three boys is:
P (3 boys | 1st boy) = P (1st boy) × P (2nd boy) × P (3rd boy)
= (0.50)³
= 0.125
Thus, the probability that the family has three boys if it is known that the first child is a boy is 0.125.
Bob played a trivia game in which he lost 3 points for each incorrect answer and gained 8 points for each correct answer. If Bob answered 11 questions correctly and 4 questions incorrectly, what was his total score?
Answer:
76
Because 11*8=88 and 4*3=12
88-12=76
plzzz help
-7/9 times 9/8 in fraction form
Answer:
7/8 (simplified)
Step-by-step explanation:
Answer:
-7/8
Step-by-step explanation:
-7/9*9/8
Simplify
-7/1*1/8=
-7/8
Which equation shows an example of the associative property of addition?
A. (–4 + i) + 4i = –4 + (i + 4i)
B. (–4 + i) + 4i = 4i + (–4i + i)
C. 4i × (–4i + i) = (4i – 4i) + (4i × i)
D. (–4i + i) + 0 = (–4i + i)
Answer:
I am pretty it's A
Step-by-step explanation:
Basically the Associative Law of Addition means that the order that the numbers are added does not matter.
Answer:
A. (–4 + i) + 4i = –4 + (i + 4i)
Step-by-step explanation:
edge2020
Have a great day y'all :)
What is the slope of a line perpendicular to the line whose equation is
12x – 2y = 24. Fully reduce your answer.
Step-by-step explanation:
The angle between the slope of the line parallel to the line whose equation is
[tex]12x-2y=24[/tex] is [tex]-1/6[/tex]
The slope intercept form is represented as follows;
[tex]y = mx + b[/tex]
where
m = slope
b = y-intercept
For a line perpendicular to another line the product of there slope is negative 1. Therefore,
m₁m₂ = -1
m₁ 1/6 = -1
m₁ = - 1/ 5
The line's angle of slope is 6
Additionally, the slope product of two lines that are perpendicular to one another is -1.
To learn more on linear equation refer to:
brainly.com/question/21010397?referrer=searchResults
#SPJ2
A teacher uses the function G(x) = -3x + 100 to calculate a student's grade, G(x), on a test if the student misses x questions on the test. Which statement best descebes the slope of the function? Show complete working format please
Answer:
then it would 50 no? i first divided 100 from x and game me 100x and then since i knew that 2 plus 3 is 5 and if i add a 0 then it would make 50
Step-by-step explanation:
If you roll a standard number
cube 30 times, how many times
can you expect to roll a number
greater than 4
What is the simplified expression for
44 • 43 45
Answer:
D
Step-by-step explanation:
the simplified version is 16 I'm not sure tho.
I need help fast solve; question: using the distributive property: 4(x+9)
Answer:
x = 9
Step-by-step explanation:
4 x X + 4 x 9 =
4x + 36
36/4 = 9
Jordan has 3 blue shirts, 4 red shirts and 6 orange shirts. She chooses a shirt for Monday and places it in her suitcase. Then, she chooses a shirt for Tuesday. What is the probability that she choose a red shirt for Monday and an orange shirt for Tuesday?
Answer:
30% on Monday 46% on Tuesday
Step-by-step explanation:
Well you have 3 blue shirts 4 red shirts and 6 orange shirts so what you have to do is add all them together to make it a fraction which you would do 3+4+6 which is 13/13 so the probability of her wearing a red shirt on Monday would be 4/13 since there are 4 red shirts and 13 in total so we make 4/13 as a fraction which would give us 30% chance she would choose a red shirt on Monday and for Tuesday we do the same thing but instead we use orange shirts so which is 6/13 which would give her a percentage of 46% on Tuesday it's more closer to half than the red shirts because 6 pretty much half of 13 but since 13 is a odd number it isn't half because half of 13 is 6.5
PLEASE HELP, GIVING BRAINLIEST!!!
These triangles are congruent by _____.
A. ASA
B. AAS
C. SSS
D. Not enough information
E. None of these
Answer:
A. ASA
Step-by-step explanation:
There are two angles and sides marked as congruent\
The angles in the middle are congruent by the Vertical Angles Theorem
They have congruent side with congruent angles adjacent so it's Angle Side Angle
If Fernando paid 450 for a notebook that was 75percent of the original price, what was the original price?
Answer:
$600
Step-by-step explanation:
450➗75✖100= 600. The original price was $600.
Answer:
600
Step-by-step explanation:
450/.75=600 dollars
Compare 3+ (-4) to (-4) + 3. What happens to the sum when the addends are reversed?
Answer: = 16ot + 6
Step-by-step explanation: coz I juss know
Factorise Fully:
21b-3b^2
See attachment for math work and answer.
Jonas has salary of $2,000 each month. He pays income tax at a rate of 15%. How much income tax Jonas pay each month in dollars and cents?
Completa el enunciado siguiente. Luego usa una recta numérica para hallar la suma 4 + (-7).
4+ (-7) es
unidades desde 4, en la dirección
4+(-7) es
unidades desde 4, en la dirección
Drag and drop the angle pairs to correctly match their description.
Answer:
<XAW and <UAY are vertical angles
<XAW and <XAZ are complementary angles
It takes Brian 15 hours longer to build a model car than it takes John. If they work together, they can build the model car in 4 hours. Using complete sentences, explain each step in figuring out how to determine the time it would take Brian to build the car on his own. (10 points)
Answer:
1/x + 1/( x+15 ) = 1/4 / · x ( x+15 )
x+15 + x = x ( x+15 ) /4 / · 4
8 x + 60 = x² + 15 x
x² + 15 x - 8 x - 60 = 0
x² + 7 x - 60 = 0
x² + 12 x - 5 x - 60 = 0
x · ( x + 12 ) - 5 ·( x+ 12 ) = 0
( x + 12 ) · ( x - 5 ) =0
x = - 12 ( not accepted ) or x = 5
The time taken by Brian: 5 + 15 = 20 hours
Step-by-step explanation:
X/2+3/8=1
What does x equal
Answer: X = 5/4
X/2 + 3/8 = 1
Subtract 3/8 from both sides.
X/2 = 1 - 3/8
Simplify 1 - 3/8
X/2 = 5/8
Multiply both sides by 2.
X = 10/8
Simplify 10/8
X = 5/4
Answer:
x=5/4
Step-by-step explanation:
Subtract 3/8 from both sides.
Then simplify.
Multiply both sides by 2.
And then simplify again.
Hope this helped! :)
In solving for y in the equation, what is the first step? -6x+3y=12
Answer:
Step-by-step explanation:
-6x+3y=12
You have to separate y from the other terms.
So add (-6x) to both sides and you'll get:
3y=6x+12
A rectangular tank has a length of 12 feet, width of 8 feet, and height of 5 feet. Frankie filled the tank with water at a rate of 4 cubic feet per minute. At this rate, how long will it take Frankie to completely fill the tank without overflowing it?
Answer:
Step-by-step explanation:
12 x 8 x 5 = 480/4= 120 minutes or 2 hours
What percent of 185 is 70?
(please show work)
Answer:
37.84
Step-by-step explanation:
Step 1: We make the assumption that 185 is 100% since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100%=185.
Step 4: In the same vein, x%=70.
Step 5: This gives us a pair of simple equations:
100%=185(1).
x%=70(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left-hand side) of both equations have the same unit (%); we have
100% / x% = 185 / 70
Step 7: Taking the inverse (or reciprocal) of both sides yields
x% / 100% = 70/185
---> = 37.84%
Therefore, 70 is 37.84% of 185.
Lula Krobo is paid a commission of 7% commission on all sales over $15,000 in a month and a monthly salary of $2,300. Her last month’s sales were $29,700. What were Lula’s total earnings for the month?
Answer: $33,029.00
Step-by-step explanation: 29700 + 1029 + 2300
sales = $29,700
commission = $1,029
salary = $2,300
Plz mark brainliest:)
Line AB is 14 inches long. What is the approximate area of the circle?
615.44 inches
21.98 inches
153.86 inches
43.96 inches
Answer:
The third one is closest
Step-by-step explanation:
half of the diameter=the radius 14/2 = 7 and the formula for the area of a circle is r^2π so 49 × π is 153.93804
What Is The Slope Of the Line
Answer:
2/2.5 or 3/4 I pretty sure that's right
I figured iut the greatest power which is 5, and the difference for the function which is 10. but my questions are.
12.) what is the "a" value for the function in the chart?
13.) what is the equation for the function above?
please explain work
Answer:
12) a = 5
Step-by-step explanation:
a is found by dividing the second difference by 2.
10 = 2a
5 = a
Solve for y: -3y-6x= -18 *
Answer:
[tex]y=-2+6x[/tex]
Step-by-step explanation:
[tex]-3y-6x= -18[/tex]
[tex](-3y-6x)= -18+6x[/tex]
[tex]-3y-6x+6x=6x -18[/tex]
[tex]y=-2+6x[/tex]
plss explain 30 points
Answer:
The height increases as the ferris wheel goes up.
Step-by-step explanation:
Answer:
The ferris wheel goes up and that is the height and when the ferris wheel goes down that is the time so the line goes up and down just like the graph shown
Step-by-step explanation:
lindsey and Oscar have been selling popcorn for a class fundraiser. Oscar sold three times as many bags of popcorn as Lindsey. together they have sold a total of 92 bags of popcorn. how many bags did Oscar sell?
Answer:
Oscar= 69
Step-by-step explanation:
92/4 = 23
23 times 3=69
15+6x=45+8x
what does x equal
Answer:
X=-15
Step-by-step explanation:
Do simple math
Answer:
-15=x
Step-by-step explanation:
15 + 6x = 45 + 8x
-6x -6x
15 = 45 + 2x
-45 -45
-30 = 2x
/2 /2
-15 = x
Hope this helps!
Find the midpoint of the segment with the following endpoints(-8,-6) and (2,-10)
Answer:
(-3, -8)
Step-by-step explanation:
-8+2/2= -3
-6 -10/2= -8
(-3, -8)