Using the binomial distribution, it is found that there is a 0.5 = 50% probability of selecting a two-child family with one boy and one girl.
For each child, there are only two possible outcomes, either it is a boy, or it is a girl. The probability of a child being a boy or being a girl is independent of any other child, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
Two children, hence [tex]n = 2[/tex].Equally as likely to be a boy or a girl, hence [tex]p = 0.5[/tex].The probability of one of each is P(X = 1), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{2,1}.(0.5)^{1}.(0.5)^{1} = 0.5[/tex]
0.5 = 50% probability of selecting a two-child family with one boy and one girl.
A similar problem is given at https://brainly.com/question/24863377
Cassidy places 40 stamps on each of 8 albums pages how many stamps dose she place
Answer:
Cassidy places 5 steps on each album page.
Cassidy places 320 stamps in total.
Step-by-step explanation:
40÷8=5 stamps on each album page
40×8=320 stamps in total
d) A patient is given 11÷2ml of medicine three times a day. How long does a bottle of 132 ml of medicine last?
Answer: 8 days.
Explanation;
11/2 = 5.5
5.5 x 3 = 16.5
132/16.5 = 8
Answer:
8 days
Step-by-step explanation:
So, 11/2 * 3 = (33/2) = 16.5 ml
Let the number of days medicine last be 'x'.
⇒ 16.5 * x = 132
⇒ x = 132/16.5
⇒ x = 8.
Therefore, Medicines last for 8 days.
Hope it helps!
he population of a particular town is given by the function P(t) = 1,200(1.05)2t, where t is the time in years and P(t) is the population after t years. What is the current population, the percentage growth rate, and the population size (rounded to the nearest whole person) in 7 years?
Hint: Percentage Growth Rate = r ⋅ 100 in A = A0(1 + r)t (4 points)
1,200, 5% annually, and 1,689
1,200, 50% semiannually, and 20,503
1,200, 10.5% per year, and 2,414
1,200, 5% semiannually, and 2,376
Answer:
Hint: Percentage Growth Rate = r ⋅ 100 in A = A0(1 + r)t
1,200, 5% annually, and 1,689
1,200, 50% semiannually, and 20,503
1,200, 10.5% per year, and 2,414
1,200, 5% semiannually, and 2,376
4) 4+ 1 =
a) 5
b) 572
12
c) 51
d) 572
6
12
Answer:
4+1=5
Step-by-step explanation:
Note down the below rules
(+)(+)=(+)(-)(+)=(-)(+)(-)=(-)(-)(-)=(+)Solve for u.
–
7u–u+2u+11u=10
u=
Bella conducted a scientific experiment. For a certain time, the temperature of a compound rose
3
1
3
3
3
1
degrees in
15
15 minutes. What was the rate, in degrees per hour, that the temperature of the compound rose?
Answer: 13 1/3 degrees per hour
Explanation: 10/3 x 4 = 40/3
40/3 = 13 1/3
SOLVE PLZ I give brainlest
17+ -9
A. 26
B. 8
C. -8
D.-26
Answer:
B: 8
Step-by-step explanation:
When you add a negative number, it means you subtract that number.
[tex]17+-9=17-9=8[/tex]
Show all your working.
2
3
Income tax
Everyone can earn a certain amount of money without paying tax. This
is called a Personal Allowance. They must pay tax on any earnings
over this allowance.
4
5
6
£11 850
Income tax Personal Allowance, 2018/2019
7
8
This formula gives the amount of Income tax a person pays in a year
T = 0.2 (y-p)
9
10
where T = income tax for the year
y = money earned per year
p = Personal Allowance
11
12
13
14
15
A caterer earns £1375 per month.
Answer:
The gravitational force acting between the two bodies is given by:
F=G
r
2
m
1
m
2
G=
m
1
m
2
Fr
2
The dimension of the force is [MLT
−2
]
=
[M][M]
[MLT
−2
][L
2
]
=M
−1
L
3
T
−2
Solve for g.
16g–11g+g=6
g=
If p=7, then what is the value of 8×p−68×p-6?
A
6
B
9
C
50
D
56
Answer:
d
Step-by-step explanation:
you need to type it in the calculator and solve it
If cos θ = sin 2 θ, then the value of θ is = ___?
Given that:
Cos θ = Sin 2θ
⇛ Cos θ = 2 Sin θ Cos θ
⇛ Cos θ / Cos θ = 2 Sin θ
⇛ 1 = 2 Sin θ
⇛ 1/2 = Sin θ
⇛ Sin θ = 1/2
⇛ Sin θ = Sin 30°
⇛ θ = 30°
Therefore, θ = 30°
Answer :-The value of θ for the given problem is 30°
Check:-
LHS = Cos θ
⇛ Cos 30°
⇛ √3/2
RHS = Sin 2θ
⇛ Sin (2×30°)
⇛ Sin 60°
⇛ √3/2
LHS = RHS is true for θ = 30°
»If you have any doubt, then you can ask me in the comments.
167.67 divided by 8.1
Answer:
167.67 divided by 8.1 = 20.7
13. For a weekly car rental, a car-rental company charges customers a flat fee of $100 plus
10 cents for every mile traveled.
15 Write an equation for the amount, A dollars, of a weekly rental for a car that travels
m miles.
16
Create a table of m and A values using the equation from part a for 150, 200, and
250 miles.
Answer:
a) y = 0.10(16) + 100
y = $ 101.60
b) y = 0.10(150) + 100
y = $115
c) y = 0.10(200) + 100
y = $120
d) y = 0.10(250) + 100
y = $125
Step-by-step explanation:
I need the solution urgently plz help me with the question I will mark you brainleist
Answer:
This is the answer thanks me later
30x^8-4x^7+6x^4/-6x^3 perform division
Answer:
[tex]-\frac{x(15x^4-2x^3+3)}{3}[/tex]
Step-by-step explanation:
[tex]\frac{30x^8-4x^7+6x^4}{-6x^3}[/tex]
The first thing I would do is to factor the numerator. All coefficients there are divisible by 2, and all variables are divisible by x⁴. I'll also move the negative sign to the left.
[tex]-\frac{2x^4(15x^4-2x^3+3)}{6x^3}[/tex]
Next, you can simplify 2/6 to 1/3:
[tex]-\frac{x^4(15x^4-2x^3+3)}{3x^3}[/tex]
Finally, the last thing you can do is simplify x⁴/x³ to x/0:
[tex]-\frac{x(15x^4-2x^3+3)}{3}[/tex]
That's as simplified as it gets.
I need help solve the equation
Answer:
y = x +1
Step-by-step explanation:
The line meets the y-axis (on the left side of the graph) at y=1. This is the y-intercept (b).
The line goes up 1 grid square for each 1 grid square to the right. Its slope is ...
m = rise/run = 1/1 = 1
Now, we know m and b so we can write the slope-intercept equation for the line:
y = mx +b . . . . . . line with slope m and y-intercept b
y = x +1
Multiply.
(−3 6/7)⋅(−3 1/3)
What is the product?
Enter your answer as a simplified mixed number in the box.
9514 1404 393
Answer:
12 6/7
Step-by-step explanation:
The product of two negative numbers is positive, so we can ignore the signs.
(3 6/7)(3 1/3) = (3)(3) +(3)(1/3) +(6/7)(3) +(6/7)(1/3)
= 9 + 1 + 18/7 + 2/7
= 10 + 2 4/7 + 2/7
= 12 6/7
In type 1 diabetes, the immune system attacks certain cells in the pancreas.
Question 2 options:
True
False
Answer:
True
Step-by-step explanation:
The person's immune system specifically targets beta cells disrupting the production of insulin.
whats the answer can someone answer please
Answer:
both are c
Step-by-step explanation:
Which graph represents the solutions to x > ?
Answer:
D because all the values are greater than the point and do not include the point
Answer:
The Answer Is D
Step-by-step explanation:
In 2021, Miranda records net earnings from self-employment of $158,500. She has no other gross income. Determine the amount of Miranda's self-employment tax and her for AGI income tax deduction.
In your computations round all amounts to two decimal places. Round your final answer to whole number
Answer:
We don't have the tax rate so I'll just explain how to do it
Step-by-step explanation:
158,500 multiplied by ( a unit of one subtracted (-) from the percentage of tax rate in decimal form ) is the total of money Miranda made after tax
A 95% confidence interval for the true proportion of teenagers who have been to a professional sporting event is
(0.289, 0.416). Is it reasonable to believe that more than 25% of teenagers have been to a professional sporting
event?
O Yes, because 0.3525 is in the interval.
O Yes, because the entire interval is greater than 0.25.
O No, because there are values in the interval greater than 0.3525.
O No, because the center of the interval is 0.3525, which is not statistically greater than 0.25.
Using the given confidence interval, it is found that the correct option is:
Yes, because the entire interval is greater than 0.25.The 95% confidence interval is (0.289, 0.416).
Since the lower bound of the interval, which is of 0.289, is greater than 0.25, the belief is reasonable.Using the above justification, the correct option is:
Yes, because the entire interval is greater than 0.25.A similar problem is given at https://brainly.com/question/17097944
Function or not functional? Pls help tyyy
Answer:
not functional, 0 over laps with T and X. so that should make it not functional (I think )
what is 2.4g-2.4g-9.8g
Answer:
2.4g-2.4g-9.8g "-9.8 grams".
Step-by-step explanation:
You just have to subtract the masses.
Hope this helps :)
plz help with my math plz!!!!
Step-by-step explanation:
This is an isosceles triangle because in an isosceles triangle angles opposite to each of the equal sides must also be equal. Since the diagram shows 2 equal angles we can say its isosceles.
So 3(x+2) = 24
8= x+2
x = 6
Answer:
x = 6
Step-by-step explanation:
The triangle given is an isosceles triangle.
Which means, the two sides and the two angles will be the same.
One of the sides is 24.
The other is 3 ( x + 2 )
Hence, we will get this equation.
24 = 3 ( x + 2 )
24 = 3x + 6
24 - 6 = 3x
18 = 3x
6 = x
Thus, x = 6.
I hope it helps.
Next, Kevin makes a cylinder-shaped candle. He uses a metal can as a mold. The can has a radius of 6 centimeters and a height of 18 centimeters. How much wax is needed to fill the metal can?
Answer:
Kevin needs approximately 2034.7 centimeters of wax to fill the metal can.
Step-by-step explanation:
To find the how much wax is needed to fill the metal can we have to find the volume of the cylinder in which we use the equation, V = 3.14(r^2)(h)
V = 3.14(r^2)(h)
3.14(6^2)(18)
3.14(36)(18)
3.14(648)
V = about 2034.7 centimeters
Series
What number should replace
the question mark? (2,3)(3,22)(4,59)(5,?)
Answer:
120
Step-by-step explanation:
y = x³ - 5
write an equation to represent CJ’s total pay
Answer:
P = 15h
I hope it helps.
an investment had return of 13% if inflation was 4.1% what was your real return ?
Answer: 8.9%
Step-by-step explanation: 13 - 4.1
The price of gas goes up to $3.24 per gallon after a 9.4% increase. What was the price before the increase?
Answer:
i think this correct
Step-by-step explanation:
3.24=(1+9.4/100) x
then x= 2.961 $