Answer: x=4
Step-by-step explanation:
G(4) = 4x4 +3
G(4) = 16 + 3
G(4) = 19
A couple is starting a family and decides to have four children. Assume that the probability of having a boy or have a girl are equal. a) Find a probability model for the number of girls the couple has. b) Find the probability that the couple has at least one girl. c) What is the probability that the couple has exactly one boy or exactly one girl
Answer:
0.9375 ; 0.5
Step-by-step explanation:
Given that :
p = 0.5
Probability model for the Number of girls the couple has :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
P(x = 0) = 4C0 * 0.5^0 * 0.5^4 = 0.0625
P(x = 1) = 4C1 * 0.5^1 * 0.5^3 = 0.25
P(x = 2) = 4C2 * 0.5^2 * 0.5^2 = 0.375
P(x = 3) = 4C3 * 0.5^3 * 0.5^1 = 0.25
P(x = 4) = 4C4 * 0.5^4 * 0.5^0 = 0.0625
Probability of having atleast one girl
Number of trials, n = 4
P(x ≥ 1) = p(x = 1) + p(x = 2) + p(x = 3) + p(x = 4)
Using the relation :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
Using calculator ;
P(x ≥ 1) = 0.9375
Probability of having exactly one boy or exactly one girl
1 boy 3 girls OR 1 girl 3 boys
P(x = 1)
P(x =x) = nCx * p^x * (1 - p)^(n - x)
P(x = 1) = 4C1 * 0.5^1 * 0.5^3
P(x = 1) = 4 * 0.5 * 0.125
P(x = 1) = 0.25
The probability of having one girl, 3 boys and vice versa is 0. 25
Hence, Probability of having exactly one boy or exactly one girl
0.25 + 0.25 = 0.5
The midpoint of AB is M(-4,2). If the coordinates of A are (-6,5), what are the
coordinates of B?
Answer:
(-2,-1)
Step-by-step explanation:
Midpoints are found when you do ([x(subscript A) + x(subscript B)]/2, [y(subscript A) + y(subscript B)]. Therefore your equation (for x of B) should look like this:
-4 = ([-6+x]/2)
After you solve for x, you should have gotten -2 for x.
Then you do the same for y:
2 = ([5+y]/2)
You should get -1. Your final answer should be (-2, -1)
490 divided by 7 and i need to know the answer for that please
The result of 490 divided by 7 is 70.
To calculate 490 divided by 7, we can perform long division as follows:
70
__________
7 | 490
- 49 (7 times 7)
_______
0 (no remainder)
In the first step, we divide 7 into the first digit of 490, which is 4. The quotient is 0, and we bring down the next digit, which is 9.
Next, we divide 7 into 49. The quotient is 7, and there is no remainder.
Therefore, the answer to 490 divided by 7 is 70.
To know more about divided, refer here:
https://brainly.com/question/15381501
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i really need help with this oneeeee.Mickey went to the mall to buy new sneakers. the store was having a 60% off sale. Mickey paid $72 after the discount was taken off the price of the sneakers. What was the original price of the sneakers?
Answer:
180
Step-by-step explanation:
Jack is looking to purchase a new video game. He finds a 25% off coupon for a store that sells the video game he wants. If the original price of the video game is $65, how much will Jack pay after the discount?(do not worry about sales tax)
PLEASE HELP ME!!!
Answer:
16.25
Step-by-step explanation:
Answer:
48.75
Step-by-step explanation:
a bookstore sells five books for $65 which table represents the relationship between the number of books and the total price
Answer:
13
Step-by-step explanation:
This is an easy question. Whoever answered this is worthy of getting these points. A florist sells a dozen roses for $35.40. she sells individual roses for the same unit cost. Write an equation to represent the relationship between the number of roses, x and the total costs of the roses, y. How much will 18 roses cost?
Answer:
Answer: The equation is
The cost of 18 roses is 53.10.
Step-by-step explanation:
Given:
A florist sells a dozen roses for 35.40. She sells individual roses for the same unit price.
Now, to find the cost of 18 roses and write an equation to represent the relationship between the number of roses, x, and the total cost of the roses, y.
1 dozen = 12.
Now, to get the cost of 18 roses we use unitary method:
If 12 roses cost = 35.40.
So, 1 roses cost = 2.95.
Thus, 18 roses cost = 53.10.
Therefore, the cost of 18 roses = 53.10.
Now, to write an equation the relationship between the number of roses and the total cost of the roses:
Cost of per rose = 2.95.
As, given in question:
Number of roses =
Total cost of the roses =
Total cost of the roses = Cost of per rose × Number of roses.
So, the equation is:
Therefore, the equation is And the cost of 18 roses is 53.10.
Step-by-step explanation:
Find the Area. Simplify your answer.
Answer:
Area = [tex]9x^2[/tex] square units
Step-by-step explanation:
Key skills needed: Area of a parallelogram
1) This shape is a parallelogram, and the way to find the area of a parallelogram is:
[tex]A = bh[/tex]
A = area
b = base (the side at the bottom
h = the height ( the length that runs from one side to another and makes a right angle)
2) The base (b) would be 3x. The height (h) would also be 3x
3) This means A = [tex]3x(3x)[/tex]
3 times 3 is 9 --> and x times x is [tex]x^2[/tex]
Therefore the area is --> [tex]9x^2[/tex]
Hope you understood and have a nice day!! :D
Find the perimeter of this semi-circle with diameter,
d
= 37cm.
Give your answer rounded to 1 DP.
Answer:
58.1cm
Step-by-step explanation:
perimeter of a semi-circle = πd/2
d is the diameter
Given
diameter = 37cm
Perimeter of the semi circle = π(37)/2
Perimeter of the semi circle = 18.5(3.14)
Perimeter of the semi circle = 58.09 cm
Hence the perimeter of the semi-circle is 58.1cm
A cell phone plan costs $21.70 per month for 500 minutes of talk time. It costs an additional $0.06 per minute for each minute over 500 minutes. To get e-mail access, it costs 30% of the price for 500 minutes of talk time. Your bill, which includes e-mail, is the same each month for 6 months. The total cost for all 6 months is $196.26. Write and solve an equation to find the number of minutes of talk time you use each month.
Answer:
You use 487 minutes of talk time each month.
Item 4 A movie theater sells 70 regular tickets and 40 matinee tickets in one day. Each regular ticket costs $15 and each matinee ticket costs $12. What is the total amount of ticket sales on this day?
Answer:
The total amount of ticket sales on this day is $1530.
Step-by-step explanation:
From the information given, the total amount of ticket sales would be equal to the result of multiplying the number of regular tickets sold for its price plus the number of matinee tickets sold for its price, which would be:
Ticket sales=15R+12M, where
R= number of regular tickets sold= 70
M= number of matinee tickets sold= 40
Now, you can replace these values on the formula to find the total amount of ticket sales on this day:
Ticket sales=15(70)+12(40)
Ticket sales=1050+480
Ticket sales=1530
According to this, the answer is that the total amount of ticket sales on this day is $1530.
Can someone help please !!!
Answer:
The other answer is x = 1
Lin is shopping for a couch with her dad and hears him ask the salesperson, "How much is your commission?" The salesperson says that her commission is of the selling price. How much commission will the salesperson earn by selling a couch for $495?
The question is incomplete:
Lin is shopping for a couch with her dad and hears him ask the salesperson, "How much is your commission?" The salesperson says that her commission is 5.5% of the selling price. How much commission will the salesperson earn by selling a couch for $495?
Answer:
The salesperson will earn $27.22 as comission by selling a couch for $495.
Step-by-step explanation:
From the information given, you know that Lin's comission is 5.5% of the selling price, so in order to find the amount of the commision the salesperson will earn you have to calculate 5.5% of the selling price:
495*5.5%=27.22
According to this, the answer is that the salesperson will earn $27.22 as comission by selling a couch for $495.
value of x...........
in given rhombus.
Step-by-step explanation:
we know that,
《opposite angle are equal in a rhombus 》
HERE,
one angle =2x
Opposite angle =3x-40
According to the question,
[tex]\tt{ 2x=3x-40 }[/tex]
[tex]\tt{3x=2x+40 }[/tex]
[tex]\tt{3x-2x=40 }[/tex]
[tex]\tt{ x=40 }[/tex]
#quality answer
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
In this given rhombus,
one angle =2x°another angle(opposite angle) =3x-40°we know that
[tex]\boxed{\sf{opposite~ angle~ are~ equal ~in~ a~ rhombus }}[/tex]
According to the question,
one angle=opposite angle 2x=3x-402x-3x=-40-x=-40x=40°Therefore.
The value of x In the given rhombus is 40°
Brainliest pleasee?????
Answer:
Explanation below
Step-by-step explanation:
Vertical Shift of Functions
Given a linear function
y = mx + b
The value of b is called the y-intercept or the y-coordinate where the line crosses the y-axis. If the function is shifted up by a value of k, then the new function is:
y' = mx + b + k
Similarily to shift the function down, the value of k is subtracted:
y''= mx + b - k
We are given the function:
[tex]\displaystyle y=\frac{2}{3}x+2[/tex]
1) To shift up the line, we select a value of k=10. The new shifted-up function is:
[tex]\displaystyle y=\frac{2}{3}x+2+10[/tex]
[tex]\displaystyle y=\frac{2}{3}x+12[/tex]
2) To shift down the line, we select a value of k=5. The new shifted-down function is:
[tex]\displaystyle y=\frac{2}{3}x+2-5[/tex]
[tex]\displaystyle y=\frac{2}{3}x-3[/tex]
3) To shift to the origin, we must select a specific value of k that cancels the y-intercept. We must shift down by k=2:
[tex]\displaystyle y=\frac{2}{3}x+2-2[/tex]
[tex]\displaystyle y=\frac{2}{3}x[/tex]
This new function has the y-intercept equal to 0
Need help on number 12 not 11 plz help
[tex]7\sqrt{5}^{8}[/tex]
Answer:
123456
Step-by-step explanation:
1.(03.01 LC)
What is the length of the unknown side of the right triangle?
Answer:
13
Step-by-step explanation:
a^2+b^2=c^2
5^2+12^2=c^2
c=13
is the change constant or not constant?
If so how can you tell?
Answer:
Yes, because the distance increases by 50 each hour.
Step-by-step explanation:
If you look at the right side of the graph, it increases by 50 each hour.
Just calculate! :)
Hope this helps! :)
[tex]cot(x)=\sqrt{3}[/tex]
x= ?
4^(3x-18)=4^(6)-x anser it
Answer:
x = 7.99952994
PLEASE HELP WILL BE MARK BRAINLIEST!
Tamu ran 30 minutes and burned 170 calories.
Part A
Which equations can be used to find the average number of calories, c, burned per minute? Select each correct answer.
□ A. 30c = 170
□ B. 170c = 30
□ C. c = 170 ÷ 30
□ D. c = 30 ÷170
□ E. 30
170 = c
□ F. 170
30= c
Answer:
it's C.
Step-by-step explanation:
Mr. Rodriguez has only $62.50 to spend at a clothing store. He wants to buy a shirt that costs $35, including tax and some bracelets that cost $5.50 each, including tax.
Part A: Write an equation to determine x, the maximum number of bracelets, Mr. Rodriguez could buy.
Part B: Solve the equation to determine the number of bracelets Mr. Rodriguez could buy. Write just the number please.
Answer:
5 braceletsStep-by-step explanation:
Part A
35 + 5.50x = 62.50Part B
5.50x = 62.50 - 355.50x = 27.50x = 27.50/5.50x = 5x ÷ 9 = 4 I dont know what this answer is?
Answer:
36
Step-by-step explanation:
9*4=36
Answer:
36
Step-by-step explanation:
9x4=36
36 divided by 9=4
Select the correct proportion to solve for the missing measurement.
Question 3 options:
10/Z=6/15
10/15=z/6
z/10=15/6
10/15=6/z
What is the answer to the proportion you set up in the last problem? Type ONLY the number in the box.
Answer:
10/Z=6/15
Step-by-step explanation:
To find the missing measurement we need to use similarity ratio
10/Z=6/15 cross multiply expressions
15z = 60 divide both sides by 15
z = 4
solve a package of 17 sliced apples $2.21.How much would a package with 25 sliced apples cost at the same price per slice?????solve pleaseee middle school
Answer:
$3.25
Step-by-step explanation:
So,
If a package of 17 sliced apples is $2.21, lets find out the price per apple.
2.21 / 17 = 0.13
so, the price per apple is $0.13
Now, we find the price of a package with 25 sliced apples.
0.13 x 25 = 3.25
So, the price of a package with 25 sliced apples is $3.25
Hope this helps!
I need help 20 POINTS for who ever answers this!
Answer:I think it would be 3 cups per day it would only make sense :)
Step-by-step explanation:
What is the area of the arrow?
7 ft
1 ft
2 ft
11 ft
Please answer These. must have them quick! **51 POINTS** and ** BRAINLEAST**
Answer:
Koichi was here
Step-by-step explanation: