Answer:
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144
Step-by-step explanation:
You and your spouse have no children. You stand to inherit a sizeable fortune from your crazy Uncle Irving if you can produce three daughters in your family of three children. What is the probability of doing just that
The probability of producing three daughters in a family of three children is 1/8 or 12.5%. This assumes that the probability of having a daughter or a son is equal, and that the gender of each child is independent of the others.
In order to calculate the probability, we can consider all possible combinations of genders for the three children. There are eight possible outcomes: BBB, BBG, BGB, BGG, GBB, GBG, GGB, and GGG, where B represents a boy and G represents a girl.
Out of these eight outcomes, only one outcome (GGG) fulfills the requirement of having three daughters. Therefore, the probability of producing three daughters is 1 out of 8, or 1/8. This translates to a probability of 12.5%.
It's important to note that this calculation assumes equal probability of having a boy or a girl, and that the gender of each child is independent of the others. In reality, the probability of having a boy or a girl may not be exactly 50%, and the gender of one child may influence the gender of subsequent children in some cases.
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50(17 + 5)
15(25 – 4)
40(39 + 14)
10(5 + 12)
22(14 – 3)
Answer:
Step-by-step explanation:
1)1100=50x22
2)315=15x21
3)2120=40x53
4)170=10x17
5)242=22x11
please rate and mask as brainlest.
Donna receives a $100 gift card to MovieStop. Her Blu-ray player is able to play both Blu-rays and DVDS, so she would like to get a combination of both. Each Blu-ray cost $25.99 and DVDs cost $15.99 each. Write an equation modeling the number of Blu-rays, b, and DVDs, d, that Donna can purchase with her gift card.
Answer:
100=25.99b+15.99dStep-by-step explanation:
step one:
let the number of Blu-rays be b and
DVDS be d,
step two:
given that Blu-rays cost $25.99each and
DVDS cost $15.99 each,
we can model the cost of the Blu-rays and DVDS, as
100=25.99b+15.99d
hence the expression for the number of Blu-rays and DVDS, is given as
100=25.99b+15.99d
Someone please help me with this.
Answer:
I have attached the image of the graph I created
Hope this helps!!
The circumference of a circle is 9.891 inches. What is the diameter?
Answer:
3.1484030842439 inches. Also could be 9.891/π
Step-by-step explanation:
The circumference of a circle is given by the equation C = 2πr
We know that the circumference is 9.891 inches, so substituting in, we get 9.891 = 2πr
We do not want to solve for r because that is the radius, and we want diameter, which is twice the radius. The equation already has a multiple of two so we can just rewrite the equation to:
9.891 = πd where d is the diameter
Solving for d, we divide both sides by π to get 9.891/π = d
We get 3.1484030842439 or just 9.891/π.
My mother purchase my candy bars at Food lion for $13.50 what is the price per candy bar?
1.5 dollars per candy bar because 13.50 divided by 9 is 1.5 :)
please help me i have asked my all my friends and they don’t know
Answer:
1. Similar 6:1
2. Not Similar
3. Similar 6:5
Step-by-step explanation:
Okay
Find the indicated real n the root(s) of a. n=9, a=-512
\(\sqrt[9]{-512}\qquad \begin{cases} -512=-2\cdot -2\cdot -2\cdot -2\cdot -2\cdot -2\cdot -2\cdot -2\cdot -2\\ \qquad 2^9 \end{cases} \\\\\\ \sqrt[9]{(-2^9)}\implies -2\)
Please helps, it’s evaluating.
Thank you.
Answer:
the answer for the question is 5/28
LIS
Find the minimum value of
C = 6x + 7y
Answer:
x= c−7y/6
Step-by-step explanation:
Sophia invested $79,000 in an account paying an interest rate of 6.8% compounded
continuously. Assuming no deposits or withdrawals are made, how long would it
take, to the nearest year, for the value of the account to reach $152,800?
Answer:
10
Step-by-step explanation:
The value of the account will reach $152,800 in 10 years.
What is Compound Interest?Compound interest is defined as the amount of interest which has been calculated on the principal amount as well as the amount accumulated over the previous period is also included.
Interest compounded continuously means there is no limit for the process of compound of interest. It is compounding infinite times.
The formula for calculating the final amount when the interest is compounded continuously is,
A = P e^(r t)
Here, A is the final amount, P is the initial or principal amount, r is the rate of interest and t is the number of years.
Given that,
A = $152,800
P = $79,000
r = 6.8% = 6.8/100 = 0.068
We have to calculate t.
152,800 = 79,000 e^(0.068 t)
152,800 / 79000 = e^(0.068 t)
1.934 = e^(0.068 t)
Taking logarithms on both sides,
㏑ 1.934 = ㏑ e^(0.068 t)
We have ㏑(a)ⁿ = n ㏑(a)
0.65968 = 0.068t ㏑ e
0.65968 = 0.068 t × 1
t = 9.7 ≈ 10 years
Hence the amount is compounded to $152,800 in 10 years.
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What is the equation in slope-intercept form of a line that passes through the point (4, 5) and has a slope of 1/2?
Answer:
1/2x + 5
Step-by-step explanation:
The y intercept is 5 & the slope is already given!
name a secant in this circle
Answer: Line AB
Hope this helps
Convert the improper fractions to mixed numbers
Answer:
28.1 7/8
29.3
30.18/8=9/4=2 1/4
Step-by-step explanation:
Answer:
28. 1 \(\frac{7}{8}\)
29. 3
30. 2\(\frac{2}{8}\)
Question Content Area
Net Present Value
A project has estimated annual net cash flows of $15,000 for ten
years and is estimated to cost $47,500. Assume a minimum acceptable
rate of return of 20%. Use
The required rate of return (or minimum acceptable rate of return) is 20 percent. If the net cash flows are $15,000 per year for ten years, the total cash flow is $150,000. The project's cost is $47,500. We can now apply the net present value formula to determine whether or not the project is feasible.
Net Present Value (NPV) = Cash flow / (1 + r)^n - Cost Where, r is the discount rate, n is the number of years, and Cost is the initial outlay.
Net Present Value = 150000 / (1 + 0.20)^10 - 47500
Net Present Value = $67,482.22
Since the NPV is positive, the project is feasible. When calculating net present value, it's important to remember that a positive NPV implies that the project is expected to generate a return that exceeds the cost of capital, whereas a negative NPV indicates that the project is expected to generate a return that is less than the cost of capital, and as a result, it should be avoided.
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What is the number of solutions in this system?
one solution
•
no solution
infinitely many solutions
There ought to be infinitely many solutions.
How many solutions can a system of 3 linear equations with 5 variables have?
There are infinitely many solutions. Assuming the 3 linear equations are linearly independent you have 2 free variables that can be chosen freely and depending on those two values you can find the 3 remaining variables as function of those two so for any choice of those two variables you can find a solution. If the equations are not linearly independent you have effectively only 1 or two equations so you can pick 4 or 3 variables freely and then the remaining variable or variables are function of these.
How do you solve a system of equations with 3 variables?
Simultaneous equations. Easy, if they are all linear. Possibly difficult otherwise. Basically pick 1 variable and 1 equation to rearrange so that variable is expressed in terms if the other 2. Then simplify. Now you have 2 equations in 2 variables. Repeat with the remaining 2 variables. When you have solved for the last variable, you can then substitute to solve for the second last. Then backtrack to the original substitution and solve that. General advice that works even for nonlinear equations.
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Let u=In(x) and v=ln(y), for x>0 and y>0.. Write In (x³ Wy) in terms of u and v. Find the domain, the x-intercept and asymptotes. Then sketch the graph for f(x)=In(x-3).
To find ln(x³y) in terms of u and v, we can use the properties of logarithms. ln(x³y) can be rewritten as ln(x³) + ln(y), and using the property ln(a^b) = bˣ ln(a), we have 3ln(x) + ln(y) = 3u + v.
How can ln(x³y) be written in terms of u and v, where u = ln(x) and v = ln(y)?To find ln(x³y) in terms of u and v, we can use the properties of logarithms. ln(x³y) can be rewritten as ln(x³) + ln(y), and using the property ln(a^b) = bˣ ln(a), we have 3ln(x) + ln(y) = 3u + v.
The domain of the function f(x) = ln(x-3) is x > 3, since the natural logarithm is undefined for non-positive values. The x-intercept occurs when f(x) = 0, so ln(x-3) = 0, which implies x - 3 = 1. Solving for x gives x = 4 as the x-intercept.
There are no vertical asymptotes for the function f(x) = ln(x-3) since the natural logarithm is defined for all positive values. However, the graph approaches negative infinity as x approaches 3 from the right, indicating a vertical asymptote at x = 3.
To sketch the graph of f(x) = ln(x-3), we start with the x-intercept at (4, 0). We can plot a few more points by choosing values of x greater than 4 and evaluating f(x) using a calculator.
As x approaches 3 from the right, the graph approaches the vertical asymptote at x = 3. The graph will have a horizontal shape, increasing slowly as x increases. Remember to label the axes and indicate the asymptote on the graph.
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At Mario’s Italian restaurant, 118 of the 200 plates are dirty. What percent of the plates are clean
Answer:
41%
Step-by-step explanation:
First, we have to find what percent is dirty, so our equation is:
118/200 = 59/100 = 59%
Then we have to find how much of 100% is left after we take away 59%:
100 - 59 = 41
So 41% of the plates are clean
which point could NOT be paired with(12, 8) to create a function
A. (4,5)
B. (3,10)
C. (12,3)
D. (13,8)
The slope of the line that passes through the points (6, w) and (10, 4) is 8. What is the value of w?
Answer:
My student the slope paserea the Pointe 6w and 10,4 is8
a basketball court is 29 m long and 15 m wide. Find its area.
Answer:
10m
10m
Step-by-step explanation:
Answer:
area of a rectangle can be used to find the basketball court's area
area of rectangle = length* width
area of court = 29m*15m = 435 square metres.
Anyone know this ? Math
Answer:
line r or MB
Step-by-step explanation:
Answer:
only line r
Step-by-step explanation:
the question is what is perpendicular to (has an angle of 90 degrees with) AM.
line r is.
line s has no right angle with AM (even the extended line beyond these points).
MB is parallel to AM. in fact it is on the same line. so, they have 0 degrees and not 90.
JK is just a part of line s, and the same as for line s applies.
In a family with 7 children, excluding multiple births, what is the probability of having 7 boys? Assume that a girl is as likely as a boy at each birth. Let E be the event that the family has 7 boys, where the sample space S is the set of all possible permutations of girls and boys for 7 children. Find the number of elements in event E, n(E), and the total number of outcomes in the sample space, n(S). n(E) = n(S)=
The probability of having 7 boys in a family with 7 children is 1 out of 128, as there is only one favorable outcome out of 128 total possible outcomes.
To find the probability, we need to calculate n(E) and n(S).
In this case, event E represents the scenario where all 7 children are boys. The sample space S consists of all possible permutations of boys and girls for the 7 children, which is 2^7 = 128.
This is because each child has 2 possibilities (boy or girl), and we multiply these possibilities for all 7 children.
Since event E includes only one specific outcome (all boys), n(E) is equal to 1. Therefore, both n(E) and n(S) are 1 and 128, respectively. The probability of having 7 boys is given by n(E)/n(S) = 1/128.
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Write the answer of p/q form 7.6 bar
7.6 expressed in p/q form is 7 3/5.
What is 7.6 in p/q form?
7.6 is in decimal. The decimal is a number that consists of integers and non integer. The integers are to the left of the decimal point and the non-integers are to the right of the decimal point.
In order to convert 7.6 to a fraction, note that 7 is the whole number while 0.6 is the non integer.
7.6 = 7 + 6/10
7 3/5
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two studies were done on the same set of data, where study a was a two-sided test and study b was a one-sided test. the p-value of the test corresponding to study a was found to be 0.040. what is the p-value for study b?
The p-value for study B is 0.98.
With the same set of data, two studies were conducted.
Study A was a two-sided test while study B was a one-sided test.
The p-value of the test in study A is 0.040.
If the test statistic from your sample has a negative value, the p-value for a two-sided test is equal to twice the p-value for the lower-tailed p-value. If the test statistic from your sample has a positive value, the p-value is two times that of the upper-tailed p-value.
So, in conclusion:
The one-tail p-value equals one minus half the two-tailed value.
The two-tail p-value is twice the one-tail p-value.
As study A is a two-sided test with p-value = 0.04.
The p-value of study B will be:
p = 1 - ( 1/2 ) × 0.04
p = 1 - 0.02
p = 0.98
The p-value for study B is 0.8.
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Divide using long division . -4x^2+12x^3-7x+2 by 2x^2 +1
The quotient is -2x2 + 8x3 - 7x + 2 and indeed the remainder is 0, according to the question.
What is an example of long division?We can put the division symbol "" between two integers to indicate that they have been split. As an illustration, we may write 36 6 to represent the division of 36 by 6. Additionally, we may represent it as the fraction 366.
To divide\(-4x^2 + 12x^3 - 7x + 2\) by \(2x^2 + 1\)using long division, we write out the division in the form:
\(2x^2 + 1\)
\(-4x^2 + 12x^3 - 7x + 2\)
Step 1: Divide the first term of the dividend (\(-4x^2\)) by the first term of the divisor (2x^2). We get -2x^2.
Step 2: Multiply the entire divisor (\(2x^2 + 1\)) by \(-2x^2.\) This gives us\(-4x^4 + -2x^2.\)
Step 3: Subtract this result from the dividend, updating the dividend to \(8x^3 - 7x + 2.\)
Step 4: Repeat the process until the degree of the remainder is less than the degree of the divisor. In this case, the final remainder is non-zero, so we have:
\(2x^2 + 1\)
\(-4x^2 + 12x^3 - 7x + 2\)
\(-2x^2\)
\(8x^3 - 7x + 2\)
\(8x^3 - 7x + 2\)
So the quotient is \(-2x^2 + 8x^3 - 7x + 2\) and the remainder is 0.
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Sandy decided to do an experiment with a sandwich she left in her locker. She found it 4 days after she had put it there, took it to the lab, and counted 71 bacteria. 3 days later she counted 185 bacteria.
Write the exponential equation that represents this problem.
She estimates that it will take 500 bacteria to completely cover her sandwich. How many days would it take this to happen, starting from the day she first put her sandwich in her locker?
The respοnse tο the given questiοn wοuld be that As a result, it will take equatiοn arοund 9.7 days frοm the day Sandy placed her sandwich in her lοcker fοr 500 bacteria tο cοmpletely cοver it.
What is equatiοn?When twο statements are cοnnected by a mathematical equatiοn, the equals sign (=) implies equality. An equatiοn in algebra is a mathematical statement that prοves the equivalence οf twο mathematical expressiοns. Fοr instance, the equal sign separates the numbers in the equatiοn 3x + 5 = 14. It is pοssible tο determine the relatiοnship between the twο sentences οn either side οf a letter using a mathematical fοrmula. The lοgο fοr the particular piece οf sοftware is frequently the same. as 2x - 4 = 2, fοr dinstance.
This issue's expοnential equatiοn is as fοllοws:
N(t) = N0 × \(e^{(kt)\) × (kt)
We can utilise the abοve infοrmatiοn tο determine the values οf N0 and k:
N(4) = 71 × N(7) = 185
When we enter these numbers intο the equatiοn, we οbtain:
71 = N0 × \(e^{(4k)\) × (4k)
185 = N0 × \(e^{(7k)\) × (7k)
185/71 = \(e^{(3k)\) × (3k)
As a result, the equatiοn fοr this issue is:
N(t) = 23.77 × \(e^{(0.3056t)}\) × (0.3056t)
We may set N(t) equal tο 500 and sοlve fοr t tο see hοw many days it will take fοr 500 germs tο grοw:
500 = 23.77 × \(e^{(0.3056t)}\) × (0.3056t)
9.7 days based οn t = ln(500/23.77) / 0.3056.
As a result, it will take arοund 9.7 days frοm the day Sandy placed her sandwich in her lοcker fοr 500 bacteria tο cοmpletely cοver it.
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1) SOLVE THE SYSTEM OF LINEAR EQUATIONS.
x=y+2
-3x+3y=6
The system has : (___???____)
?- NO SOLUTION; INFINITELY ?- MANE SOLUTIONS;
?- ONE SOLUTION (7,5)
?- ONE SOLUTION (-8,-10)
2) EXPLAIN YOUR CHOICE OF METHOD
The solution to the system is (x, y) = (7, 5).
What is the linear equation?
A linear equation is an equation of a straight line. It is an equation of the form y = mx + b, where m is the slope of the line and b is the y-intercept.
The system has one solution (7,5).
One method to solve the system of linear equations is substitution. From the first equation, x = y + 2. Substituting this into the second equation, we get -3(y + 2) + 3y = 6, which simplifies to -3y - 6 + 3y = 6.
Combining like terms, we get -3y = -6, or y = 2.
Finally, substituting y = 2 back into x = y + 2, we get x = 2 + 2, or x = 4. So, the solution to the system is (x, y) = (7, 5).
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Please I needddd helppp is it correct or do I need to change something
two vendors at a craft show are selling signs.The Lenghts of signs offered by signs& more and Wood Works are shown in the table. Each sign has the same price. Henry wants to buy the longest ofneach kind of sign. From which vendor should he buy each style of sign
The selling price is the price at which a product or service is sold to a customer. It is determined by adding a markup or profit to the cost price, which includes the cost of materials, labor, and other expenses incurred in producing or delivering the product or service.
To determine from which vendor Henry should buy each style of sign, you'll need to compare the lengths offered by Signs & More and Wood Works for each style. Here's a step-by-step process:
1. Identify the styles of signs being sold by both vendors.
2. For each style, compare the lengths offered by Signs & More and Wood Works.
3. Determine which vendor offers the longest sign for each style.
4. Henry should buy from the vendor with the longest sign for each style.
By following these steps, you'll help Henry purchase the longest sign from each vendor for every style, ensuring he gets the best value for his money.
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