Answer:
0.947
Step-by-step explanation:
We are told that the true probability of a baby being a girl is 0.479.
This means that probability of a baby being a boy is;
p = 1 - 0.479
p = 0.521
Now,using binomial probability distribution formula we can solve this problem.
P(X=x) = C(n, x) × p^(x) × (1 - p)^(n - x)
We are told that a mound the next four randomly selected births in the country, what is the probability that at least one of them is a boy.
This is;
P(X ≥ 1) = P(1) + P(2) + P(3) + P(4)
P(1) = C(4, 1) × 0.521^(1) × (1 - 0.521)^(4 - 1)
P(1) = 0.229
P(2) = C(4, 2) × 0.521^(2) × (1 - 0.521)^(4 - 2)
P(2) = 0.3737
P(3) = C(4, 3) × 0.521^(3) × (1 - 0.521)^(4 - 3)
P(3) = 0.27096
P(4) = C(4, 4) × 0.521^(4) × (1 - 0.521)^(4 - 4)
P(4) = 0.0737
Thus;
P(X ≥ 1) = 0.229 + 0.3737 + 0.27096 + 0.0737
P(X ≥ 1) = 0.94736
P(X ≥ 1) ≈ 0.947
A mixture of green paint contains 9 pints of blue paint and 12 pints of yellow paint. To make the same shade of green paint using using 21 pints of blue paint, how much yellow would you need?
Answer:
28 pints of yellow paint needed
Step-by-step explanation:
Mixture of green paint = 9 pints of blue paints : 12 pints of yellow paint
Blue paint : yellow paint = 9 : 12
To make the same shade of green paint using using 21 pints of blue paint, how much yellow would you need?
Let
x = pints of yellow pint needed
Blue paint : yellow paint = 21 : x
Equate the ratios to find x
Blue paint : yellow paint
9 : 12 = 21 : x
9/12 = 21/x
Cross multiplication
9 * x = 12 * 21
9x = 252
Divide both sides by 9
x = 252 / 9
= 28
pints of yellow pint needed = x
= 28
identify the slope of the line. then identify a point the line passes through:
1. y - 2 =1/4(x - 5)
2. y-7=-3(x+6)
Answer:
ummmm honey I'm confused already
rewrite this expression
[tex] \sqrt[5]{x} [/tex]
HELP!
(4x + 5y)(2x - 3y) + 3xy
PLEASE HELP! ILL GIVE YOU BRAINLIEST
Answer:
In the first picture is B
In the second is C
Step-by-step explanation:
Answer:
the first one is A. 2n + 2 and the second is C. 3(y + 2)
Step-by-step explanation:
So for the first one, 5n + 2 - 3n, is basically combining the factors with the variable n, so you subtract 3n from 5n, giving you 2n + 2, or A.
The second one is kinda reverse. You have to find the one that makes the most sense via Distributive Property. So what you do is separate 3 from the others and put y + 6 in parentheses, like this:
3(y + 6)
But this isn't the answer, as if you do the distributive property with this answer, you would get 3y + 18, and that's not what we want to get. So what we have to do is divide 6 by 3, giving us 2, thus giving us our answer of C.
Hope I helped! ^w^
Which statement correctly describes the relationship between the graph of f (x) and the graph of g(x) = f (x) – 4
Answer:
g(x) will be 4 units under f(x), and will be parallel.
Step-by-step explanation:
The only thing changing is the constant, or y-intercep. This is shown in -4, so 4 units lower. Slope will stay the same because it has not been modified in the expression for g(x).
Answer:
The graph of g(x) is the graph of f(x) translated 4 units down.
Step-by-step explanation:
factor 7x+35 PLEASE HELP
Answer:
7(x+5)
Step-by-step explanation:
The greatest common factor is 7
7*x + 7*5
Factor out the 7
7(x+5)
0
ef
gh
A. dº + fº = 180° B. gº + fº =
C. Cº + f 0 = 180° D. bº + 0 =
The circumference of a circle is 88c
Calculate the radius of the circle.
A. 14cm
B. 42cm
C. 56cm
D. 28cm
and 415.
About 28cm
circumference of a circle =radius×3.14
3.14÷circumference of the circle (88cm)=28.04.
About 28cm.
Isaac buys a plant that is 3 inches tall. After one week the plant is 5 inches tall. After a second week the plant is 7 inches tall. At this rate, how tall will the plant be after the fifth week? a 15 inches tall b 2 inches tall c 13 inches tall d 11 inches tall
Answer:
C 13 inches
Step-by-step explanation:
Because the plant grows two inches every week so if by the second week it is 7 inches tall just add 3 more weeks or 6 inches of growth to the 7 inches and you get your answer 13 inches
just say bruh plz it would be funny enjoy the points
Answer:
bruh bruh bruh burh ty sm
Bru i finna dip chip & let it rip
sorry br*h is censored for some reason
a
(10x – 23)
137°
b
What is the converse?
Answer:
x=16 alternate interior angles converse
Step-by-step explanation:
Give 3 examples of integers which are greater than −2
Answer: -1 would be greater than negative two, along with 20, 1000.
-2 is a negative number, so any number that is -1 or higher is greater than -2
Answer:
1,2,3
Step-by-step explanation:
im having trouble figuring out what this question means |7| + -4=?
Answer:
3
Step-by-step explanation:
It means absolute value 7 plus -4
This means that if it were a -7, it would become positive because it is under absolute value bars...since it is positive nothing changes
7-4= 3
I would appreciate any help
X/12 - 9= 1 what is x?
Answer:
x = 120
Step-by-step explanation:
x/12 - 9 = 1
Inverse operations
x/12 - 9 = 1
+9 +9
x/12 = 10
*12 *12
x = 120
Answer:
x=120
Step-by-step explanation:
Isaiah and Cooper work at a dry cleaners ironing shirts. Isaiah can iron 25 shirts per hour, and Cooper can iron 30 shirts per hour. Cooper worked twice as many hours as Isaiah and they ironed 340 shirts between them. Write a system of equations that could be used to determine the number of hours Isaiah worked and the number of hours Cooper worked. Define the variables that you use to write the system.
Answer:
See Explanation
Step-by-step explanation:
[tex]25x + 30y = 340\\y = 2x\\[/tex]
x=number of hours Isaiah worked.
y=number of hours Cooper worked
HELP!! FAST!!! PLZ!! I'll GIVE BRAINLYEST!!!!!! 10 POINTS!!!!
Which statement is TRUE about perpendicular lines?
A. The lines are in the same place but never intersect.
B. The lines are not in the same plane.
C. The lines intersect at an acute angle.
D. The lines intersect at a right angle.
(They nerved gave me a picture!!!!)
Answer:
A im sure
Step-by-step explanation:
Step-by-step explanation:
D. The lines intersect at a right angle
PLZ HELP I've been working on this for half the day, and I can't stand it. Solve and show your work.
Answer:
(5, 50)Step-by-step explanation:
Equation for weight of toy cars:
y = 9x + 5Equation for weight of toy trucks:
y = 6x + 20Solving the system by substituting y:
9x + 5 = 6x + 209x - 6x = 20 - 53x = 15x = 15/3x = 5y = 9*5+5 = 50Intersection point is (5, 50)
See attached graph
80$ markup 25% help...
Answer:
20!
Step-by-step explanation:
Answer: 25% of 80 is 20 so if you need to add them it would be 100 and if you need to minus it would be 60
Step-by-step explanation:
The slope of the line whose equation is 6x = 4y - 7 is
A. 04
B. 2/3
C. 3/2
Polygon ABCD slides 4 units left and 3 units up on the coordinate plane. If the original measure of angle A was 75 degrees, what is the measure of angle A'? 75 degrees 100 degrees 105 degrees 180 degrees
Answer:
A 75
Step-by-step explanation:
i did flvs
Answer:
75 degrees im doing the test now
Step-by-step explanation:
I could really use your help:)
Answer:
Question 1: -3 and 6 in that order
Question 3: 3 and y=1/2x+3 in that order
Question 2: 2 and y=2x+4 in that order
Step-by-step explanation:
:)
I need serous help like now Marie can find the volume of a cube by using the formula V = s³, where s represents the side length of the cube. If Marie's cube has a side length of 2 1\2 centimeters, what is the volume of her cube? Show your work. Make sure that you include the correct unit of measure in your answer.
Answer:
[tex]V=15.62\ cm^3[/tex]
Step-by-step explanation:
The volume of a cube is given by the formula :
V = s³, where s represents the side length of the cube
The side length of Marie's cube is [tex]2\dfrac{1}{2}\ cm[/tex]. We need to find the volume of her cube. For this, we can use the formula of the volume of a cube such that,
[tex]V=(2\dfrac{1}{2})^3\\\\=(\dfrac{5}{2})^3\ cm^3\\\\=\dfrac{125}{8}\ cm^3\\\\=15.62\ cm^3[/tex]
So, the volume of her cube is [tex]15.62\ cm^3[/tex].
I need help this is my last question (math class)
Answer:
Step-by-step explanation:
5.00 for 2 loaves is $2.50 a loaf.
She wants 5 loaves for $12.50
5*2.50= $12.50 so she is correct.
What is 325.623 rounded to the nearest tenth?
Answer:
325.6
Step-by-step explanation:
Which equation is a line that passes through the points (4, 5) and (0, -3)?
Answer:
y = 2x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, 5) and (x₂, y₂ ) = (0, - 3)
m = [tex]\frac{-3-5}{0-4}[/tex] = [tex]\frac{-8}{-4}[/tex] = 2
The line crosses the y- axis at (0, - 3) ⇒ c = - 3
y = 2x - 3 ← equation of line
"Write the equation of the line that is perpendicular to the line x - 4y = 20 and passes through the point (2, -5)." Thank you in advance!
Answer:
y= -4x +3
Step-by-step explanation:
① Rewrite the equation in the form of y=mx+c, to find the gradient of the given line, m.
x -4y= 20
4y= x -20
y= ¼x -5 (÷4 on both sides)
∴ Gradient of line= ¼
② Find the gradient of the new line.
The product of the gradients of perpendicular lines is -1.
¼(gradient of line)= -1
gradient of line
= -1 ÷¼
= -1 ×4
= -4
③ Substitute the value of the gradient into the equation.
y= -4x +c
④ Find the value of c by substituting a pair of coordinates.
When x= 2, y= -5,
-5= -4(2) +c
-5= -8 +c
c= -5 +8 (+8 on both sides)
c= 3
Thus, the equation of the line is y= -4x +3.
Help Please! Determine if the two triangles are congruent.
Answer:
AAS
Step-by-step explanation:
Hope this helps
In the number 707B47.B is a prime number.If the number is rounder off to 3sf its value is 708000 what is the biggest value of B
The list of single digit primes is {2,3,5,7}. The largest prime is 7, so B = 7 is the largest possible value.
Also note how 707,747 rounds to 708,000 when rounding to 3 significant figures.
Angela bought gifts for her friends, and each gift costs 10$. Let y represent the total cost and x represent the number of gifts. Write an equation to represent the proportional relationship between the total cost and the number of the gifts she bought.
Answer:
Step-by-step explanation:
If Angela bought gift for her friend and each gift costs 10$. This means that the more the number of her friends, the more the money she will pay and vice versa. This is known as a direct relationship.
Let y represent the total cost and
x represent the number of gifts
According to direct variation]
y ∝ x
y = kx
k is the constant of proportionality
If each gift item cost $10, x gift will cost 10x. The constant of proportionality in this case will be 10. Substituting, the equation will become;
y = 10x
Hence the required relationship is y = 10x