The probability that a girl answers the door when the Smiths' children open depends on the gender distribution of their children. The probability that a girl answers the door is 1/3 or approximately 33.33%.
Without any additional information about the Smiths family, we cannot determine the exact probability. However, if we assume that the probability of having a boy or a girl is equal (i.e., a 50% chance for each), we can make an estimate.
Under this assumption, let's consider the possible outcomes for the Smiths' children: BB (both boys), BG (one boy and one girl), and GG (both girls). Since we know that one of their children will answer the door, the outcomes BB and BG are possible scenarios in which a boy answers. The only scenario in which a girl answer is GG. Therefore, the probability that a girl answers the door is 1/3 or approximately 33.33%.
It is important to note that this estimation assumes an equal probability for each gender and that the gender of one child does not affect the gender of the other. In reality, the probability could differ depending on the specific circumstances and family dynamics of the Smiths.
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z = 16ab
solve for a
Answer:
a=z/16b
Step-by-step explanation:
move it over a=z/16b hope this helps :D
I have to solve these using area models:
1. 30 x 24
2. 40 x 43
3. 30 x 37
4. 20 x 26
5. 50 x 35
1 1/2 + 1 1/2 + 1 1/2 + 1 1/2 + 1 1/2 + 1 1/2 + 1 1/2 + 1 1/2
Answer: Your answer is 12
Step-by-step explanation: Instead of adding them all I just multiplied 1 1/2 x 8
please help me, thanks if you do
Answer:
Question 3:
f(3) = (3,-8) this is because -2*-2=4*-2=-8.
Questions 4:
D. (1,7)
C. $3,006D. $3,135given, compute40 answer3. Which function has the largest value forf(-3)?) puug - 3 functionA f(x) = 2x - 5-786-33-5B. f(x) = 2 - 4x7Q-10-30C. f(x) = 6 - 3*-76-363)D. F(X) = 2* + 10 20-07104. When Mack left the bank, the temperature was 25°C. When he got htomnarature was 730F. If CA=f-32, about how many degrees
To know which function has the largest value for f(3), we need to substitute x=-3 in each function:
A. f(x)=2x-5
f(-3)=2(-3)-5=-11
B. f(x)=2-4x
f(-3)=2-4(-3)=14
C. f(-3)=6-3^(-3)
f(-3)=6-1/27
f(-3)=161/27
D. f(x)=2^(x)+10
f(-3)=2^(-3)+10
f(-3)=1/8+10=81/8
The largest value for f(-3) is 14, The answer is B f(x)=2-4x
Alice spins a spinner and rolls a number cube labeled 1-6. the spinner and number cube are shown.
what is the probability that Alice's spinner will land on green and she will roll a 6?
Answer:
Step-by-step explanation:
first count up the numbers on the spinner and the die cut out the number till get the number but i will guess 2
Please help will give brainliest (please don’t answer if you don’t know it)
Answer:
it is 3 or 21
Step-by-step explanation:
because STUVW is equal to HGFED
please urgent !!
What is the value of the following expression? (2 Marks) (15> (6*2+6)) || ((20/5 + 2) > 5) && (8> (2+ 3 % 2))
the variable name 7last_name is a valid identifier name Select one: True False
The value of the expression (15> (6*2+6)) || ((20/5 + 2) > 5) && (8> (2+ 3 % 2)) is True
The variable name 7last_name is not valid
How to determine the value of the expression?From the question, we have the following parameters that can be used in our computation:
(15> (6*2+6)) || ((20/5 + 2) > 5) && (8> (2+ 3 % 2))
Simplify the expressions
(15> 18) || (6 > 5) && (8> 3)
Convert to boolean
So, we have
False || True && True
The above expression evaluates to True
Checking if the variable name is validHere, we have the variable name 7last_name
When naming variables, the name cannot begin with numbers
This means that the variable name 7last_name is not valid
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PLEASE HELP! 15 POINTS! What are the factors of the expression −4(a+b )?
Answer:
-4, and (a+b) are the two factors
Step-by-step explanation:
-4(a+b)
We have two factors
-4, and (a+b)
Answer:
-4 and a and b/(a+b)
Step-by-step explanation:
When there is a number outside of a parentheses, you want to distribute it inside of the parentheses. So in this case, -4 is on the outside, so it usually gets distributed it in, which makes it a factor.
Since a and b are getting multiplied by the -4, they are also factors in the equation.
In a problem like this, if you want to solve it, the number outside the parentheses gets distributed into the numbers in the parentheses. (It gets multiplied by the numbers).
-4 times a and -4 times b
-4 times a is -4a
-4 times b is -4b
The answer to this problem, if you need it is -4a-4b. :)
Solve for x
4x - 14 = 10
x=
x⁴+1 by x+1 ( Long division of polynomials).Please if anyone knows the answer of this question please let mr know.....if you want points and waste my time your answer will be reported...
\( {x}^{3} - {x}^{2} + x - 1 + \frac{2}{x + 1} \)
lmk if u want an explanation for this I can try type it out
Answer:
\(x^3-x^2+x-1+\frac{2}{x+1}\)
Step-by-step explanation:
See the picture attached.
Notice how I set up \(x^4+1\) as \(x^4+0x^3+0x^2+0x+1\), as it makes it easier to solve.
Also, notice that the 2 as the remainder doesn't have anything else to divide to, so that means there will be an extra term \(\frac{2}{x+1}\) in the end of the answer.
What is the measure of ABC?
Answer:
130
Step-by-step explanation:
it shows the answer just look more carefully
I need to show the work. Please help
Answer:
18
Step-by-step explanation:
125 = 7x - 1 ...... because if the two lines are parallel alternate interior angles are congruent
125 + 1 = 7x
126 = 7x
\( \frac{126}{7} = \frac{7x}{7} \)
x = 18
hope it helps
for any question comment me ❤❤
Determine the type of triangle that is drawn below.
Answer:
Step-by-step explanation:
Since each angle is different it is scalene. Since all angles are less than 90 degrees it is acute.
So this is a Scalene Acute triangle.
Answer: Scalene Acute
Step-by-step explanation:
An acute triangle has all three angles less than 90 and a scalene triangle has no equal sides.
Which expressions are equivalent to \dfrac{4^{-3}}{4^{-1}} 4 −1 4 −3 start fraction, 4, start superscript, minus, 3, end superscript, divided by, 4, start superscript, minus, 1, end superscript, end fraction ? Choose 2 answers: Choose 2 answers: (Choice A) A \dfrac{4^1}{4^3} 4 3 4 1 start fraction, 4, start superscript, 1, end superscript, divided by, 4, cubed, end fraction (Choice B) B \dfrac{1}{4^{2}} 4 2 1 start fraction, 1, divided by, 4, squared, end fraction (Choice C) C 4^3\cdot 4^14 3 ⋅4 1 4, cubed, dot, 4, start superscript, 1, end superscript (Choice D) D (4^{-1})^{-3}(4 −1 ) −3
Answer:
\(\dfrac{4^{-3}}{4^{-1}} = \dfrac{4^{1}}{4^{3}}\)
\(\dfrac{4^{-3}}{4^{-1}} = \dfrac{1}{4^{2}}\)
Step-by-step explanation:
Given
\(\dfrac{4^{-3}}{4^{-1}}\)
Required
Choose equivalent expressions
Choosing the first answer:
\(\dfrac{4^{-3}}{4^{-1}}\)
Split expressions
\(4^{-3} * \frac{1}{4^{-1}}\)
Apply laws of indices: \((a^{-b} = \frac{1}{a^b})\)
\(\frac{1}{4^3} * \frac{1}{4^{-1}}\)
Apply laws of indices: \((a^{-b} = \frac{1}{a^b})\)
\(\frac{1}{4^3} * \frac{1}{1/4}\)
\(\frac{1}{4^3} * \frac{4^1}{1}\)
\(\frac{4^1}{4^3}\)
Hence:
\(\dfrac{4^{-3}}{4^{-1}} = \dfrac{4^{1}}{4^{3}}\)
Choosing the second:
\(\dfrac{4^{-3}}{4^{-1}}\)
Apply law of indices: \((\frac{a^m}{a^n} = a^{m-n})\)
So,
\(\dfrac{4^{-3}}{4^{-1}} = 4^{-3-(-1)}\)
\(\dfrac{4^{-3}}{4^{-1}} = 4^{-3+1)}\)
\(\dfrac{4^{-3}}{4^{-1}} = 4^{-2}\)
Apply law of indices: \((a^{-b} = \frac{1}{a^b})\)
So:
\(\dfrac{4^{-3}}{4^{-1}} = \dfrac{1}{4^{2}}\)
Answer: 4^-2
Step-by-step explanation:
What is g(x) = x squared
Answer:
3
Step-by-step explanation:
3) You owe a friend $50.60. You pay them back $18.90. How much money do you still owe your friend?
Answer:
31.7
Step-by-step explanation:
Just subtract
What is the smallest sample size required to provide a 95 % confidenc interval for a mean, if there must be an interval no longer than 1 unit Assume that the population is normal with a variance 9 units.
The smallest sample size required is around 1244 to provide a 95% confidence interval for the mean, with a maximum interval length of 1 unit.
To calculate the smallest sample size required to provide a 95% confidence interval for a mean with an interval no longer than 1 unit, we need to use the formula for the margin of error:
Margin of Error = Z * (Standard Deviation / √n)
Where:
Z is the z-score corresponding to the desired confidence level (95% in this case).
Standard Deviation is the population standard deviation (given as 9 units).
√n represents the square root of the sample size.
Since we want the interval to be no longer than 1 unit, the margin of error should be 0.5 units (half of the interval length). Thus, we have:
0.5 = Z * (9 / √n)
To find the appropriate z-score for a 95% confidence level, we can consult the standard normal distribution table or use a calculator. For a 95% confidence level, the z-score is approximately 1.96.
0.5 = 1.96 * (9 / √n)
Now, we can solve the equation for √n:
√n = (1.96 * 9) / 0.5
√n = 35.28
n = 35.28²
n ≈ 1244
Therefore, the smallest sample size required to provide a 95% confidence interval for the mean, with an interval no longer than 1 unit, is approximately 1244.
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100 POINTS!!!Each of the four angles of a quadrilateral measures 90°. How many rectangles can you construct using this condition? A.0 B.1 C.2 D.4 E.infinitely many
Help me with this, it’s due in a bit!
Answer:
64 square centimeters
Step-by-step explanation:
The surface are of a pyramid is found by finding the sum of the area of the four sides and the base.
Finding the triangular face:
Area of triangle = \(\frac{1}{2} b h\) = \(\frac{1}{2}*4*6 = 12\)
12 * 4 (4 sides) = 48 square cm
Finding the Base = \(w * l = 4 * 4 = 16\)
Finally, we add it together. 48 + 16 = 64
Try making 100 using:
5,5,5,5,5
?=100
Help ASAP!
Answer:
(5+5+5+5)*5
20*5=100
\(5\cdot5\cdot5-5\cdot5=125-25=100\)
Gabriel deposits $660 every month into an account earning a monthly interest rate of
0.475%. How much would he have in the account after 16 months, to the nearest
dollar? Use the following formula to determine your answer.
The future value of the monthly deposit which earns 0.475 monthly interest will be $10,944.67 after 16 months.
How the future value is determined:The future value can be determined using the future value annuity formula or an online finance calculator.
The future value represents the periodic deposits compounded periodically at an interest rate.
N (# of periods) = 16 months
I/Y (Interest per year) = 5.7% (0.475% x 12)
PV (Present Value) = $0
PMT (Periodic Payment) = $660
Results:
Future Value (FV) = $10,944.67
The sum of all periodic payments = $10,560.00
Total Interest = $384.67
Thus, using an online finance calculator, the future value of the monthly deposits is $10,944.67.
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A pizza restaurant offers 6 toppings to choose from for their pizzas, and no toppings is considered a plain cheese pizza. How many different pizza topping combinations are possible if the maximum number of allowed toppings is 3 and toppings can't repeat
Answer: 120
Step-by-step explanation:
Given : Total toppings = 6
Number of toppings needs to be selected = 3
Also if repetition of toppings is not allowed , then the number of combinations are possible = 6 x 5 x 4 [First we choose 1 out of 6 , then 1 out of remaining 5 and then 1 out of 4,then multiplying the choices for 3 toppings]
= 120
Hence, the number of different pizza topping combinations are possible if the maximum number of allowed toppings is 3 is 120 .
Lines a and b are parallel what is the value of x
Answer:
a) 8
Step-by-step explanation:
a // b and c is transversal
So, alternate exterior angles are congruent.
12x - 12 = 10x + 4
Add 12 to both side
12x = 10x + 4 + 12
12x = 10x + 16
Subtract 10x from both sides
12x - 10x = 16
2x = 16
Divide both sides by 2
x = 16/2
x = 8
A rectangular room is 1.2 times as long as it is wide, and its perimeter is 26 meters. Find the dimension of the room.
Answer:
Width = 5.91m
Length: 7.1m
Step-by-step explanation:
Width: x
Length: 1.2x
2x + 2(1.2x) = 26m
2x + 2.4x = 26m
4.4x = 26m
x = 26m/4.4
x = 5.91
What is the effect on the graph of f(x) = x^2 when it is transformed to
h(x) = 1/4x^2 – 11?
O A. The graph of f(x) is horizontally compressed by a factor of 4 and
shifted 11 units down.
O B. The graph of (x) is vertically compressed by a factor of 4 and
shifted 11 units to the right.
C. The graph of f(x) is vertically compressed by a factor of 4 and
shifted 11 units down.
D. The graph of f(x) is horizontally stretched by a factor of 4 and
shifted 11 units to the right.
Answer:
c because a and b and d does not make since
Step-by-step explanation:
Answer:
C, vertically compressed by a factor of 4 and shifted 11 units down
Step-by-step explanation:
The library has 215 new books 155 of those books already have been put on shelves .the rest of the books are divide equally amount 5 boxes
Answer:
Ok to do this question we must first put it into a algebraic equation.
215=5x-155
This is are equation. lets first get rid of the 155 by adding it to the 215 which is 370.
370=5x
Ok now we will divide 370 by 5 which is 74.
x=74
Your Welcome
BIFFY OUT!!!
PleAse help number 14 please
Step-by-step explanation:
14.
G must be congruent to B (the vertexes with the right angle).
and then
GH = GF = CB = AB (they are both isoceles triangles meaning both legs have the same length, and then these legs must be congruent bergen the triangles, so, in fact, all 4 sides must have equal length).
therefore,
5y mm = 25 mm
y = 5
(2x + 5) mm = 25 mm
2x + 5 = 25
2x = 20
x = 10
(3z + 14) mm = 35 mm
3z + 14 = 35
3z = 21
z = 7
(n + 18)
(2n)
What is the value of n
Answer: if this is what you wanted ,I think that n=0 and /or n= -18
Step-by-step explanation:
In an equation equal to 0 you can say that if it is a product like that : A x B =0 so A or / and B can be equal to 0 so you have to search when A=0 and when B=0 separately then you know when n is equal to 0 so the values of n . I’m sorry if it is not what you needed as an answer.
Which expression represents the product of ³ + 2x - 1 and 4 -³ +3?
I7-214-3
1¹+2x+2
1¹2-1⁹ +²+2x³ +6x-3
27-26 +225-3x² + 4x³ + 6x - 3
Don
The expression that gives the product of the polynomials x³ + 2x + 1 and 4x³ + 3 is:
\((x^3 + 2x + 1)(4x^3 + 3) = x^6 + 2x^4 + 7x^3 + 6x + 3\)
How do we multiply polynomials?We multiply them applying the distributive property, multiplying all the terms and then combining the like terms.
In this problem, the factors are given as follows:
x³ + 2x + 1,4x³ + 3.Hence the multiplication will be given by:
\((x^3 + 2x + 1)(4x^3 + 3) = x^6 + 2x^4 + 7x^3 + 6x + 3\)
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