The probability of the 5 letter slots randomly making the word 'world' is calculated by finding the product of the probability of choosing each letter correctly, which for this problem, is (1/3125).
Explanation:To calculate the probability of picking the letters 'w', 'o', 'r', 'l', 'd' in that order, we understand that we are dealing with a probability problem regarding independent events. This scenario means that the outcome of each selection does not affect the others.
Here, each slot contains 5 distinct letters. The probability of picking a specific letter correctly is 1/5 (1 way to pick a correct letter divided by 5 total letters). So, the probability of picking each letter correctly and in the order of 'world' is the product of the probabilities of choosing each letter correctly i.e P(choosing all five correct letters) = P(choosing 1st correctly) X P(choosing 2nd correctly) X P(choosing 3rd correctly) X P(choosing 4th correctly) X P(choosing 5th correctly) = (1/5) X (1/5) X (1/5) X (1/5) X (1/5) = (1/3125).
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Find two positive numbers whose product is 81 and whose sum is a minimum. (if both values are the same number, enter it into both blanks.)
Answer:
The two positive numbers whose product is 81 and whose sum is a minimum are 9 and 9.
Step-by-step explanation:
81 is divisible by 1 and 81, since 81/1 = 81 and 81/81 = 1.
81 is divisible by 3 and 27, since 81/3 = 27 and 81/27 = 3.
81 is divisible by 9, since 81/9 = 9.
Their sums are.
81 + 1 = 82.
3 + 27 = 30
9 + 9 = 18.
So the two positive numbers whose product is 81 and whose sum is a minimum are 9 and 9.
Answer:
The two positive numbers will be 9 and 9.
Step-by-step explanation:
Let the two positive numbers be x and y.
It is given that the product of the number is 81 the sum of them is minimum.
So, the product can be written as [tex]xy=81[/tex].
The sum can be written as [tex]x+y=x+\dfrac{81}{x}[/tex]. It is required to minimize the sum.
Differentiate the sum as,
[tex]x+y=x+\dfrac{81}{x}\\1+y'=1-\dfrac{81}{x^2}=0\\x^2=81\\x=9\\y=\dfrac{81}{x}\\y=9[/tex]
Now, the second derivative of the sum will be,
[tex]y''=2\times \dfrac{81}{x^3}>0[/tex]
So, the second derivative is positive and hence, the sum will be minimum at x=9.
Therefore, the two positive numbers will be 9 and 9.
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The question asked what is 1/4 % of 2000
2x + y = -2
x + y = 5
The x-coordinate of the solution to the system shown is _____.
-7
-3
3
7
Answer:
-7
Step-by-step explanation:
what two consecutive numbers the square root of 10 between
How to divide 715÷25 using partial quotient
Create a table of data for two different linear functions. The table should use the same values of x for both functions. Based on your table, will the graphs of these two functions intersect? Explain your answer. 40 POINTS
If 3 tons of flower bed mulch cost $480, what is the price per pound?
Mike has $880 in his savings account and adds $24 per week. at the same time, leslie has $520 in his savings account and adds $36.00 per week. how long will it take leslie to have the same amount as mike?
expand and simplify: 5(x-3)+2(2x+1)
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Please send the details for the area of each shape.
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Leanoriaia
What is a point estimate of the difference between the mean annual premium in pennsylvania and the national mean (to the nearest dollar)?
A point estimate is a single value used to estimate an unknown parameter. The point estimate of the difference between the mean annual premium in Pennsylvania and the national mean can be calculated by taking the difference between the two means.
Explanation:A point estimate is a single value that is used to estimate an unknown parameter of a population. In this case, the point estimate of the difference between the mean annual premium in Pennsylvania and the national mean can be calculated by taking the difference between the two means. Let's say the mean annual premium in Pennsylvania is $1000 and the national mean is $1500. The point estimate of the difference would be $1500 - $1000 = $500.
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Molly's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $1.70 to buy the supplies to make a fork and $1.30 to buy the supplies to make a spoon. The store sells forks for $5.60 and spoons for $5.40. Last April Molly's Custom Kitchen Supplies spent $37.90 on materials for forks and spoons. They sold the finished products for a total of $147.20. How many forks and how many spoons did they make last April?
Ms.Smith has 132 stickers to give to her students.Shehas 5 students.If she gives the same number of stickers to each of her students how many stickers will she have leftover
Lisa drew a picture of a boat. She used the scale 1 inch: 6.5 feet the boat in her picture is 7:25 inches long. What is the length, in feet of the actual boat?
The environment club is selling indoor herbs gardens for Earth Day. Each member is encouraged to sell at least 10 gardens. You sell 3 on Monday and 4 on Tuesday. Write and solve an inequality to find the possible number of gardens you can sell to reach your goal.
Raffle tickets are being sold for a fundraiser. The function a(n) relates the amount of money raised to the number of tickets sold, n.
It takes as input the number of tickets sold and returns as output the amount of money raised.
a(n) = 3n – 15
Which equation represents the inverse function n(a), which takes the money raised as input and returns the number of tickets sold as output?
Answer:
For apex it is N(a)= [tex]\frac{a+15}{3}[/tex]
To find the inverse function, solve the equation a = 3n - 15 for n. The inverse function is n(a) = (a + 15) / 3.
Explanation:To find the inverse function, we need to solve the equation n(a) = 3n - 15 for n.
Step 1: Replace n(a) with a: a = 3n - 15
Step 2: Solve for n.
Add 15 to both sides of the equation.a + 15 = 3nDivide both sides of the equation by 3.(a + 15) / 3 = nTherefore, the inverse function is n(a) = (a + 15) / 3.
Which expression is equivalent to 6 – (–8)?
The expression 6 – (–8) will be equivalent to 14.
What is an expression?An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.
In other meaning, expression is very useful to determine the end or root value of constraint.
For example 3x +5y
The constraint of expression is represented as = or <, >.
Given the expression,
6 – (–8)
By multiplication,
Negative signs become positive
6 – (–8) = 6 + 8 = 14
Hence "The expression 6 – (–8) will be equivalent to 14.".
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In a steel titanium alloy, 360 grams of steel were required to make 1200 grams of the alloy. How much titanium was required to make 1600 grams of the alloy?
Need help solving this :/
A company manufactures photo cells it uses the expression
The second angle of a triangular kite is four times as large as the first. The third angle is 45 degrees more than the sum of the other two angels. Find the measurement of the second angle.
What is the answer to the distributative operation of 85 divided by 5
Solve 8d + 4d – 5d – 4 = 3d.
A bank offers a money market account paying 4.9% interest compounded semiannually. A competing bank offers a money market account paying 4.8% interest compounded daily. Which account is the better investment?
3(2x+4)-7=-2(x-5)+3x what does x equal? A.1 B.-1 C.-5 D.5
Evaluate the integral. (remember to use absolute values where appropriate. use c for the constant of integration.) 2 (t + 2)(t − 6) dt
Carly sold 18 rolls of wrapping paper. that is 2 time as many as may rolls as Jasmine sold.
What is the probability that the selected consumer is 35–55 years old or likes crunchicles?
The probability that a selected consumer is 35–55 years old or likes crunchicles is 0.5.
Explanation:To determine the probability that the selected consumer is 35–55 years old or likes crunchicles, we need to add the probabilities of these two events happening individually and subtract the probability of both events happening. Let's assume the probability of a randomly selected consumer being 35–55 years old is 0.4 and the probability of a randomly selected consumer liking crunchicles is 0.3. The probability of a randomly selected consumer being both 35–55 years old and liking crunchicles is 0.2. Therefore, the probability that the selected consumer is 35–55 years old or likes crunchicles is:
P(35-55 or crunchicles) = P(35-55) + P(crunchicles) - P(35-55 and crunchicles)
= 0.4 + 0.3 - 0.2 = 0.5
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if (-4,5) is the only solution to a system of two linear equations, then the graphical solution would show:
The graphical solution to a system of two linear equations with the point (-4,5) as the only solution will show two lines intersecting at this point on a two-dimensional graph.
Explanation:If the point (-4,5) is the only solution to a system of two linear equations, this means that the two lines represented by these equations intersect at this point. On a Two-Dimensional (x-y) Graphing system, this point would be plotted on the graph where the x-coordinate is -4 and the y-coordinate is 5.
These two equations when plotted as lines in a two-dimensional space (with x as the independent variable and y as the dependent variable) will intersect at this point (-4,5). If you draw a line from the origin to the point (-4,5), it will intersect the two lines at this point. This is how the graphical solution would look like.
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A microwave is placed on top of two boxes. One box is 2 feet 5 inches tall the other box is 3 feet 11 inches tall and the microwave is 3 feet 3 inches tall. How tall are they combined ?