Answer:
P(all female)= 1/2 x 1/2 x 1/2 = 1/8
P(all male ) = 1/2 x 1/2 x 1/2 = 1/8
P(all one gender) = P(all female) + P(all male) = 1/8 + 1/8 = 1/4
What is the probability that a three-child family is two girls and one boy?
Each possible birth order has P=1/8. That is, P(G,G,B)=P(G,B,G)=P(B,G,G)=1/8.
So, P(2G,1B)= 3/8 and P(1G,2B)= 3/8.
This allows us to write the overall gender probability distribution for families of three children as follows:
1/8 will be three girls
3/8 will be two girls and one boy
3/8 will be one girl and two boys
1/8 will be three boys
Adding it all up, we have 1/8 + 3/8 + 3/8 + 1/8 = 1 (100%)
Step-by-step explanation:
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Pentagon GPEST is shown on the coordinate grid. Pentagon Pentagon GPEST is dilated with the origin as the center of dilation using the rule (x,y)→(0.2x,0.2y) to create pentagon G'P'E'S'T'.
Which statement is true?
Pentagon G'P'E'S'T' is larger than pentagon pentagon GPEST because the scale factor is greater than 1.
Pentagon G'P'E'S'T' is larger than pentagon pentagon GPEST because the scale factor is less than 1.
Pentagon G'P'E'S'T' is smaller than pentagon pentagon GPEST because the scale factor is greater than 1.
Pentagon G'P'E'S'T' is smaller than pentagon pentagon GPEST because the scale factor is less than 1.
Coordinate plane with 4 quadrants. x-axis runs from negative 6 to 4 and y-axis runs from negative 5 to 5 and arrows on both ends. Pentagon with vertices at G at negative 3 comma 4. P at 2 comma 4. E at 4 comma 2. S at 2 comma negative 3. T at negative 3 comma negative 3.. Vertices labeled with letters.
Answer:
Pentagon G'P'E'S'T' is smaller than pentagon pentagon GPEST because the scale factor is less than 1.
Step-by-step explanation:
Sorry im late homie
Option (4). Pentagon G'P'E'S'T' will be smaller than pentagon GPEST because the scale factor is less than 1.
Transformation of a figure by dilation: If a figure with the given vertex (x, y) is dilated with a scale factor
'k', image point will follow the rule,
(x, y) → (kx, ky)
If k > 1, image will be larger than preimage.If k < 1, image will be smaller than preimage.
Rule for the dilation given in the question,
(x, y) → (0.2x, 0.2y)
Here, k = 0.2 which is less than 1.
Therefore, pentagon G'P'E'S'T' will be smaller than pentagon GPEST.
Option (4) will be the correct option.
Learn more about the transformation here,
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Can y'all help me please???
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Which of the following binomials is not a factor of 3x^4-x^3-63x^2-39x+20?
A.(x-1)
B.(x-5)
C.(x+1)
D.(x+4)
Answer:
HD jxjdhdhehehrhrnrnr 4
Step-by-step explanation:
ydydhdhdbe dngive me coins
Write the equation in slope intercept form of the line between the points (2,4) (6,-8) simplify your answer as much as possible.
Answer: Answer And explanation in picture
Step-by-step explanation:
what is the answer to y=-6x-3, -8x-3y=-1.
Answer:
I am in middle school
Step-by-step explanation:
..
The perimeter of a square Is 176 centimeters. If the square is dilated by a scale factor of 0.75, what is the length of each side of the new square?
Answer: The answer is a decimal.
Step-by-step explanation:
Simplifying algebraic expression
-8w-b/9 use b=36 & w=2
The b/9 is b over 9
Answer:
-20
Step-by-step explanation:
-8*2-36/9
-16-4
-20
what is (-4) + 3 + (-5)
Answer:
-6
Step-by-step explanation:
-4 + 3 = -1
Add -1 to -5
-6
Hope this helps :)
Answer:
-6
Step-by-step explanation:
its addition so u can move them around due to (addition property)
so i took (-4) plus (-5) and got (-9)
then took (-9)+3 and got (-6)
the question is the photo
Answer:
its A. B. C. D. E.
Step-by-step explanation:
all of it are correct
The image below shows two dilated figures with lines AB and A'B' drawn. If the larger figure was dilated using a scale factor of 3, what relationship do lines AB and A'B' have? (10 points)
Answer:
They have the same side lengths/angles except one is smaller than the other
Step-by-step explanation:
the smaller one is a "mini" of the larger one. a exact copy
The dilation is solved and the scale factor of line is A'B' = 3AB
What is Dilation?Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent
The result of dilation is that the shapes and boundaries of objects in the input image are expanded or thickened. It is often used in conjunction with other morphological operations such as erosion, opening, and closing to manipulate and enhance images.
Given data ,
Let the scale factor of the dilation be represented as k
Now , the scale factor k = 3
So , the ratio of the corresponding sides is given by
A'B' / AB = 3
Multiply by AB on both sides , we get
A'B' = 3AB
Hence , the dilation is simplified as A'B' = 3AB
To learn more about dilation click :
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3[ 9 - ( 6 - 3 ) ] - 10
Answer:
The answer is 8
Step-by-step explanation:
Pay attention bro
A book with an original price of $20 has a 15% discount. Which expression represents the new price of the book?
A. $20 × 0.15
B. $20 × 0.985
C. $20 × 1.15
D. $20 × 0.85
Answer:
A
Step-by-step explanation:
20.00 * .15
.15 = 15 out of 100 = 15%
if x -1/7,evaluate x²+1/x²
Answer:
[tex]given \: x = - \frac{1}{7} [/tex]
[tex]x {}^{2} + \frac{1}{x {}^{2} } [/tex]
[tex]( - \frac{1}{7} ) {}^{2} + \frac{1}{ ( - \frac{1}{7} ) {}^{2} } [/tex]
[tex] \frac{1}{49} + \frac{1}{ \frac{1}{49} } [/tex]
[tex] \frac{1}{49} + \frac{1 \times 49}{1} [/tex]
[tex] \frac{1}{49} + 49[/tex]
[tex] \frac{2402}{49} \: or \: 49.02[/tex]
The regression equation for change in temperature, y, to amount of rain, r, is given by ŷ = 0.2 − 1.4r. On Monday, the observed amount of rain was 0.4 inches and the temperature change was 2.3 degrees. Find and interpret the residual.
2.66. The regression line overpredicts the temperature change.
2.66. The regression line underpredicts the temperature change.
1.94. The regression line underpredicts the temperature change.
−1.94. The regression line overpredicts the temperature change.
−3.02. The regression line underpredicts the temperature change.
Given:
The regression equation for change in temperature, y, to amount of rain, r, is given by
[tex]\hat{y}=0.2-1.4r[/tex]
The observed amount of rain was 0.4 inches and the temperature change was 2.3 degrees.
To find:
The residual and interpret it.
Solution:
According to the question, the observed amount of rain was 0.4 inches and the temperature change was 2.3 degrees.
So, the actual value is 2.3 degrees.
Put r=0.4 in the given equation, to find the predicted value.
[tex]\hat{y}=0.2-1.4(0.4)[/tex]
[tex]\hat{y}=0.2-0.56[/tex]
[tex]\hat{y}=-0.36[/tex]
We know that,
Residual = Actual value - Predicted value
[tex]Residual=2.3-(-0.36)[/tex]
[tex]Residual=2.3+0.36[/tex]
[tex]Residual=2.66[/tex]
Residual is positive because predicated value is less than the actual value.
So, the regression line underpredicts the temperature change.
Therefore, the correct option is B.
If the water level in a lake drops by 14 feet, the water level will still be higher than the 20-foot mark that triggers restricted water use. If L is the water level, which inequality and solution represents this situation?
A. L - 14 > 20; L > 34
B. L - 14 20; L > 6
D. L + 14 < 20; L < 6
Answer:
A is correct
Step-by-step explanation:
Here, we want to write an inequality
If the water level drops by 14 feet
what this mean is that we are subtracting 14 from the original level L
Thus, we have
L-14
Higher than 20 means that we have;
L-14 > 20
L > 20 + 14
L > 34
I need the answers bad
Answer:
53
Step-by-step explanation:
90 - 37 = 53
Im stumped and timed.
Jessa started with 100 sugar cookies for the Christmas banquet and gave away x cookies. Cooper started with 120 cookies but gave away twice as many pieces as Jessa did. How many sugar cookies did Jessa give away if they had the same number left?
Answer:
20 cookies
Step-by-step explanation:
To find the answer start by plugging in numbers. first, subtract the number from 100 or Jessa's number of cookies then multiply that by 2 and subtract that from 120 or Cooper's cookies. If the two resulting numbers are equal then you have the right answer.
HELP ME PLEZ
Im timed lol
Answer:
1.) $1
2.)$4
3.)$12
4.)3/4
Step-by-step explanation:
32(.5)=16
she had 16 left after lunch. 16(.25)=4
16-4=12
1/2=2/4
2/4+1/4=3/4
Answer:
1) lunch 16
2) coffee 4
3) 12
4) 3/4ths or .75 or 75%
just fill out why it is 3
Answer:hi
Step-by-step explanation:hi
Because, in reverse it's basically asking what is 12 minus 5. So, 12 minus 5 is 3!
Hopefully, this helps! :D
Ask your question below.
The functions u and w are defined as follows.
u(x) = 2x+2
w(x) = – 2x² +2
Find the value of w (u(2)).
Answer:
w(u(2)) = -70
Step-by-step explanation:
u(x) = 2x + 2
w(x) = -2[tex]x^{2}[/tex] + 2
w ( u (2) )
Find u(2), substitute in 2 for x in the function u.
u(2) = 2(2) + 2
= 4 + 2
= 6
w(u(2))
= w(6)
Now subsitute in 6 for x, in the function w.
w(6) = -2[tex](6)^{2}[/tex] + 2
= -2 * 36 + 2
= -72 + 2
= -70
w(6) = -70
w(u(2)) = -70
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Answer:
im workin gon it can you please mark me as brainliest
Step-by-step explanation:
find the surface area of the cylinder using pie.
Someone please help solve this!! I’ll give brainlist
Answer:
Inital height is 20
Step-by-step explanation:
h= (-5x-5)(x-4)
h= -5x^2+15x+20
Identify the points after a 90 degrees clockwise rotation: A (5, -9) B (3, 1) C(-10, -10)
A (-5, -9)
B (3, -1)
C (10, 10)
6th Grade Math Homework!
Will give brainiest!
15 Points!!
Please solve
ONLY ANSWER IF YOU HAVE THE ANSWERS
Don't need to explain
Keep in mind there are 2 pictures!
PLEASE HELP!! AND FAST!!
What are the differences between the graphs of y = 2x and y = 2
Answer:
Y=2x has a slope of 2, y=2 has a slope of 0
Step-by-step explanation:
Please help me please!!!
Please help its geometry :( no one answer my question
