Answer:
6 Gallons of Paint
Step-by-step explanation:
If you use a half gallon of paint to cover 84 square feet, how much could you paint with a full gallon? Lets figure it out:
\(\frac{1}{2} = 84\)
multiply both sides by 2 so that the 1/2 gallon is now 1 gallon:
\(\frac{1}{2} * 2 = 84 * 2\)
1 gallon = 168 square feet
now, how many gallons does it take to paint 932 square feet?
Divide 932 by 168:
\(\frac{932}{168} = 5.548\)
Just like you cant buy 2.374 cheeseburgers, you cant buy 5.548 gallons of something so we round up and will have some paint left over once the job is done. So 6 gallons is the answer
The amount of gallons needed is 5.55gallons approximately
If Joel used a half-gallon of paint to cover 84 square feet of wall, this can be expressed using the equality sign as:
1/2 gallons = 84 square feet
In order to find the number of gallons for 932 square feet of wall to paint, we will write:
x = 932 square feet
Divide both expressions
1/2x = 84/932
2x = 932/84
2x = 11.09
x = 11.09/2
x = 5.55 gallons
This shows that the amount of gallons needed is 5.55gallons approximately
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If I already owe you 5 apples and now I owe you 10 more apples, how many apples do I owe you now?
Answer:
15 apples
Step-by-step explanation:
It's kinda obvious ;-;
Answer: 15 because it + so 5 + 10 = 15
Step-by-step explanation:
Question 1 Which of the following order cycle lengths would require the buyer to hold the most total inventory during lead time? 10 days, +/4 days 10 days, +/- 2 days 9 days, +/-3 days 8 days, +/-5 days
The order cycle length that would require the buyer to hold the most total inventory during lead time is 8 days with \(\pm\) 5 days of variation, as it has the widest range of variation, and thus, the most variability to be covered by safety stock.
The order cycle length and the variability in demand and lead time both affect the amount of inventory that a buyer needs to hold during lead time. The longer the order cycle length, the more inventory the buyer needs to hold during lead time to cover demand until the next order arrives. On the other hand, the greater the variability in demand and lead time, the more safety stock the buyer needs to hold to avoid stockouts.
We must take into account both the order cycle length and the fluctuation in demand and lead time to determine which of the mentioned order cycle lengths would need the buyer to keep the highest total inventory during lead time.
The order cycle lengths are:
10 days, \(\pm\) 4 days
10 days, \(\pm\) 2 days
9 days, \(\pm\) 3 days
8 days, \(\pm\) 5 days
The variability in demand and lead time is greater in the orders with wider ranges of variation. Therefore, we can calculate the range of variation for each order cycle length by adding the maximum variation in demand and the maximum variation in lead time:
10 days, \(\pm\) 4 days: range of variation = 4 + 4 = 8 days
10 days, \(\pm\) 2 days: range of variation = 2 + 2 = 4 days
9 days, \(\pm\) 3 days: range of variation = 3 + 3 = 6 days
8 days, \(\pm\) 5 days: range of variation = 5 + 5 = 10 days
Hence, the order cycle length with the greatest range of variation, and hence the most variability that needs to be covered by safety stock, is 8 days with \(\pm\) 5 days of fluctuation. This order cycle length would need the buyer holding the highest total inventory throughout lead time.
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Sally bought 1.4 kilograms of bananas for AED 7.35 $ a kilo. How many kilograms
of apples sold at 10.20 $ per kilogram should you buy so that the kilogram of fruit
costs 8.15 $
You should buy approximately 1.067 kilograms of apples at $10.20 per kilogram in order to have the kilogram of fruit cost $8.15.
Let's assume that Sally bought x kilograms of apples at $10.20 per kilogram.
The total cost of bananas is given as AED 7.35 per kilogram, and Sally bought 1.4 kilograms of bananas. So, the cost of the bananas is:
Cost of bananas = AED 7.35 * 1.4 = AED 10.29
The total cost of apples is given by the equation:
Cost of apples = $10.20 * x
The total cost of the fruits combined should be AED 8.15 per kilogram. So, the equation becomes:
Total cost of fruits = (Cost of bananas + Cost of apples) / (1.4 + x) = AED 8.15
Substituting the known values, we have:
(10.29 + 10.20 * x) / (1.4 + x) = 8.15
Cross-multiplying and simplifying, we get:
10.29 + 10.20 * x = 8.15 * (1.4 + x)
Expanding the equation, we have:
10.29 + 10.20 * x = 11.41 + 8.15 * x
Rearranging the equation, we get:
10.20 * x - 8.15 * x = 11.41 - 10.29
1.05 * x = 1.12
Dividing both sides by 1.05, we find:
x = 1.12 / 1.05
x ≈ 1.067
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City A had a population of 10000 in the year 1990. City A’s population grows at a constant rate of 3% per year. City B has a population that is growing exponentially. In the year 2000, there were half as many people in B as in A. In the year 2010, the population of A was 20% more than the population of B.
When will the populations be equal? Give your answer in years after 1990.
Answer:
City A and city B will have equal population 25years after 1990
Step-by-step explanation:
Given
Let
\(t \to\) years after 1990
\(A_t \to\) population function of city A
\(B_t \to\) population function of city B
City A
\(A_0 = 10000\) ---- initial population (1990)
\(r_A =3\%\) --- rate
City B
\(B_{10} = \frac{1}{2} * A_{10}\) ----- t = 10 in 2000
\(A_{20} = B_{20} * (1 + 20\%)\) ---- t = 20 in 2010
Required
When they will have the same population
Both functions follow exponential function.
So, we have:
\(A_t = A_0 * (1 + r_A)^t\)
\(B_t = B_0 * (1 + r_B)^t\)
Calculate the population of city A in 2000 (t = 10)
\(A_t = A_0 * (1 + r_A)^t\)
\(A_{10} = 10000 * (1 + 3\%)^{10}\)
\(A_{10} = 10000 * (1 + 0.03)^{10}\)
\(A_{10} = 10000 * (1.03)^{10}\)
\(A_{10} = 13439.16\)
Calculate the population of city A in 2010 (t = 20)
\(A_t = A_0 * (1 + r_A)^t\)
\(A_{20} = 10000 * (1 + 3\%)^{20}\)
\(A_{20} = 10000 * (1 + 0.03)^{20}\)
\(A_{20} = 10000 * (1.03)^{20}\)
\(A_{20} = 18061.11\)
From the question, we have:
\(B_{10} = \frac{1}{2} * A_{10}\) and \(A_{20} = B_{20} * (1 + 20\%)\)
\(B_{10} = \frac{1}{2} * A_{10}\)
\(B_{10} = \frac{1}{2} * 13439.16\)
\(B_{10} = 6719.58\)
\(A_{20} = B_{20} * (1 + 20\%)\)
\(18061.11 = B_{20} * (1 + 20\%)\)
\(18061.11 = B_{20} * (1 + 0.20)\)
\(18061.11 = B_{20} * (1.20)\)
Solve for B20
\(B_{20} = \frac{18061.11}{1.20}\)
\(B_{20} = 15050.93\)
\(B_{10} = 6719.58\) and \(B_{20} = 15050.93\) can be used to determine the function of city B
\(B_t = B_0 * (1 + r_B)^t\)
For: \(B_{10} = 6719.58\)
We have:
\(B_{10} = B_0 * (1 + r_B)^{10}\)
\(B_0 * (1 + r_B)^{10} = 6719.58\)
For: \(B_{20} = 15050.93\)
We have:
\(B_{20} = B_0 * (1 + r_B)^{20}\)
\(B_0 * (1 + r_B)^{20} = 15050.93\)
Divide \(B_0 * (1 + r_B)^{20} = 15050.93\) by \(B_0 * (1 + r_B)^{10} = 6719.58\)
\(\frac{B_0 * (1 + r_B)^{20}}{B_0 * (1 + r_B)^{10}} = \frac{15050.93}{6719.58}\)
\(\frac{(1 + r_B)^{20}}{(1 + r_B)^{10}} = 2.2399\)
Apply law of indices
\((1 + r_B)^{20-10} = 2.2399\)
\((1 + r_B)^{10} = 2.2399\) --- (1)
Take 10th root of both sides
\(1 + r_B = \sqrt[10]{2.2399}\)
\(1 + r_B = 1.08\)
Subtract 1 from both sides
\(r_B = 0.08\)
To calculate \(B_0\), we have:
\(B_0 * (1 + r_B)^{10} = 6719.58\)
Recall that: \((1 + r_B)^{10} = 2.2399\)
So:
\(B_0 * 2.2399 = 6719.58\)
\(B_0 = \frac{6719.58}{2.2399}\)
\(B_0 = 3000\)
Hence:
\(B_t = B_0 * (1 + r_B)^t\)
\(B_t = 3000 * (1 + 0.08)^t\)
\(B_t = 3000 * (1.08)^t\)
The question requires that we solve for t when:
\(A_t = B_t\)
Where:
\(A_t = A_0 * (1 + r_A)^t\)
\(A_t = 10000 * (1 + 3\%)^t\)
\(A_t = 10000 * (1 + 0.03)^t\)
\(A_t = 10000 * (1.03)^t\)
and
\(B_t = 3000 * (1.08)^t\)
\(A_t = B_t\) becomes
\(10000 * (1.03)^t = 3000 * (1.08)^t\)
Divide both sides by 10000
\((1.03)^t = 0.3 * (1.08)^t\)
Divide both sides by \((1.08)^t\)
\((\frac{1.03}{1.08})^t = 0.3\)
\((0.9537)^t = 0.3\)
Take natural logarithm of both sides
\(\ln(0.9537)^t = \ln(0.3)\)
Rewrite as:
\(t\cdot\ln(0.9537) = \ln(0.3)\)
Solve for t
\(t = \frac{\ln(0.3)}{ln(0.9537)}\)
\(t = 25.397\)
Approximate
\(t = 25\)
Which is the graph of the function f/x )= x 2 2x 3?; Which graph represents the function f/x )= 4 x?; How do you find a function on a graph?; Which is one of the transformations applied to the graph of f/x )= x2 to change it into the graph?
The graph of the function f(x) = x² + 2x + 3 is a parabola with vertex (-1, 2).
You can use the vertical line test on a graph to determine whether a relation is a function. If it is impossible to draw a vertical line that intersects the graph more than once, then each x-value is paired with exactly one y-value. So, the relation is a function.
Given, the function is f(x) = x² + 2x + 3
We have to find the graph of the function.
Let y = x² + 2x + 3
Put x = -3
y = (-3)² + 2(-3) + 3
= 9 - 6 + 3
= 9 - 3
y = 6
Put x = -2
y = (-2)² + 2(-2) + 3
= 4 - 4 + 3
y = 3
Put x = -1
y = (-1)² + 2(-1) + 3
= 1 - 2 + 3
= 4 - 2
y = 2
Put x = 0
y = (0)² + 2(0) + 3
= 0 + 0 + 3
y = 3
Put x = 1
y = (1)² + 2(1) + 3
= 1 + 2 + 3
= 3 + 3
y = 6
We can plot the graph using the points.
The graph of the function f(x) = x² + 2x + 3 is a parabola with vertex (-1, 2).
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The difference of the means is found and then compared to each of the mean absolute deviations. Which is true?
The difference between the means is about equal to the mean absolute deviation of the data sets.
The difference between the mean is about 2 times the mean absolute deviation of the data sets.
The difference between the mean is about 4 times the mean absolute deviation of the data sets.
O The difference between the means is about 5 times the mean absolute deviation of the data sets.
The true statement is, The difference between the mean is about 2 times the mean absolute deviation of the data sets.
Mean absolute deviation (MAD) is defined as the average value of the absolute deviations from the mean.
Difference of the means is found by subtracting the two means.
Each mean is found by adding the data points and then dividing by the number of data sets.
The relationship between the difference of means and the MAD of two sets is,
The difference between the mean is about 2 times the mean absolute deviation of the data sets.
Hence the correct option is B.
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Write the relation as a set of ordered pairs.
A relation. An arrow goes from negative 2 to 4, 0 to 6, 2 to 8.
a.
ordered pairs: {(4, –2), (0, 6), (2, 8)}
b.
ordered pairs: {(–2, 4), (0, 6), (2, 8)}
c.
ordered pairs: {(4, –2), (0, 6), (8, 2)}
d.
ordered pairs: {(–2, 4), (6, 0), (8, 2)}
Its not c.
The set of coordinate pairs that represents the relation is the one in option b.
{(–2, 4), (0, 6), (2, 8)}
How to write the relation as a set?
A relation maps elements "x" into elements "y", such that the notation used is:
An arrow that goes from x to y.A ordered pair fo the form (x, y)Here we know that:
An arrow goes from negative 2 to 4, 0 to 6, 2 to 8.
Then we have the coordinate pairs:
(-2, 4)
(0, 6)
(2, 8)
Then the correct option is B: {(–2, 4), (0, 6), (2, 8)}
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Answer:
b
Step-by-step explanation:
What's the circumference of a
circle with a radius of 22 inches?
Use 3.14 for n.
Answer:
C
≈
138.23
in
Step-by-step explanation:
I hope it helped
What are m and bin the linear equation, using the common meanings of m and b?
1 + 4x + 6 - X= y
Answer:
\( \times = 18\)
Question content area top
Part 1
Assume that random guesses are made for seven multiple choice questions on an SAT test, so that there are n=7 trials, each with probability of success (correct) given by p=0.2. Find the indicated probability for the number of correct answers.
Find the probability that the number x of correct answers is fewer than 4.
Answer:
To find the probability that the number x of correct answers is fewer than 4, we need to calculate the sum of the probabilities for x=0, x=1, x=2, and x=3, which can be written as:
P(x<4) = P(x=0) + P(x=1) + P(x=2) + P(x=3)
We can use the binomial probability formula to calculate each of these individual probabilities, with n=7 and p=0.2:
P(x=k) = (n choose k) * p^k * (1-p)^(n-k)
P(x=0) = (7 choose 0) * 0.2^0 * 0.8^7 = 0.2097
P(x=1) = (7 choose 1) * 0.2^1 * 0.8^6 = 0.3670
P(x=2) = (7 choose 2) * 0.2^2 * 0.8^5 = 0.3025
P(x=3) = (7 choose 3) * 0.2^3 * 0.8^4 = 0.1441
Therefore, the probability that the number x of correct answers is fewer than 4 is:
P(x<4) = P(x=0) + P(x=1) + P(x=2) + P(x=3)
= 0.2097 + 0.3670 + 0.3025 + 0.1441
≈ 0.9233
Rounding to four decimal places, the probability that the number x of correct answers is fewer than 4 is approximately 0.9233.
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Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of g(x), including the end behavior, y-intercept, and zeros.
g(x) = (x + 2)(x − 1)(x − 2)
g(x) = (x + 3)(x + 2)(x − 3)
g(x) = (x + 2)(x − 2)(x − 3)
g(x) = (x + 5)(x + 2)(x − 5)
g(x) = (x + 7)(x + 1)(x − 1)
The zeros of g(x) = (x + 2)(x − 1)(x − 2) are x = -2, 1 and 2
The y-intercept is g(0) = 4The end behaviour is \(\mathrm{as}\:x\to \:+\infty \:,\:g\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:g\left(x\right)\to \:-\infty \:\)From the question, we have the following parameters that can be used in our computation:
The 5 functions of g(x)
To determine the key features of the function g(x), we make use of the first
g(x) = (x + 2)(x − 1)(x − 2)
So, we have
Zeros
This is when the function equals 0
(x + 2)(x − 1)(x − 2) = 0
Evaluate
x = -2, 1 and 2
The y-intercept
This is when the value of x in the function equals 0
g(0) = (0 + 2)(0 − 1)(0 − 2)
Evaluate
g(0) = 4
End behaviour
This is the behavior of the graph of the function as it approaches the ends of the x-axis
So, we have
\(\mathrm{as}\:x\to \:+\infty \:,\:g\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:g\left(x\right)\to \:-\infty \:\)
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A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 11, 22, 33, 44. What relationship between the quantities is shown in the table? The relationship between quantities is +10. The relationship between quantities is ×11. The relationship between quantities is – 30. The relationship between quantities is + 20. A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 11, 22, 33, 44. What relationship between the quantities is shown in the table? The relationship between quantities is +10. The relationship between quantities is ×11. The relationship between quantities is – 30. The relationship between quantities is + 20. A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 11, 22, 33, 44. What relationship between the quantities is shown in the table? The relationship between quantities is +10. The relationship between quantities is ×11. The relationship between quantities is – 30. The relationship between quantities is + 20. A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 11, 22, 33, 44. What relationship between the quantities is shown in the table? The relationship between quantities is +10. The relationship between quantities is ×11. The relationship between quantities is – 30. The relationship between quantities is + 20.
The relationship between the quantities shown in the table is +10. The values in column 2 (y) are obtained by adding 10 to the corresponding values in column 1 (x).
How to explain the relationshipIn the given table, the values in column 1 (labeled "x") are 1, 2, 3, and 4. The values in column 2 (labeled "y") are 11, 22, 33, and 44.
To determine the relationship between the quantities in the table, we can compare the values in column 2 (y) with the corresponding values in column 1 (x).
If we subtract each value in column 1 from the corresponding value in column 2, we find that:
11 - 1 = 10
22 - 2 = 20
33 - 3 = 30
44 - 4 = 40
By observing these results, we can see that the difference between each value in column 2 and its corresponding value in column 1 is always 10.
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The radius of a circle is 19 cm. Find the area
Answer: 1134.11
A=3.14*r^2
Step-by-step explanation:
Answer:
a ≈ 1134.11 cm2
Step-by-step explanation:
The formula:
\(a=\pi r^{2}\)
\(a=\pi (19)^{2} =361\pi\)
\(a=1134.11cm^{2}\)
Hope this helps
Hannah makes 5 out of 8 attempted free-throws! What is the average waiting time for Hannah to make her first basket, and what is the probability that she will make a basket on or before her last attempt within her average waiting time?
The probability that she will make a basket on or before her last attempt within her average waiting time are 1/8 and 2/8
How can we interpret probability?Probability of an event is a measurement of how likely an event can occur as an outcome of a random experiment;
Probability ranges from 0 to 1, both inclusive. Events whose probability is closer to 0 are rarer to occur than those whose probabilities are closer to 1 (relatively);
When converted to percentage, we just need to multiply its decimal representation by 100. In percentage form, the probability ranges from 0% to 100%;
Given:
Hannah makes 5 out of 8 attempted free-throws.
Now,
The average waiting time of hannah to make her first basket is 5/8
The probability of hannah making basket at her last attempt is 1/8
The probability of hannah making basket before her last attempt is 2/8
Hence, the probabilty will be 1/8 and 2/8;
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What is the value of x and y?
Answer:
x = 90y = 43Step-by-step explanation:
The angle bisector in this isosceles triangle is also its altitude. It meets the base segment at right angles.
x° = 90°
__
The acute angles in a right triangle are complementary.
y° = 90° -47°
y° = 43°
simple interest = Pxrxt
Joe borrowed $900 from Sam for six months. How much will Sam earn if he charges joe a simple interest rate of 4 percent?
Answer:
$18.Hope it helps.....
8. Which of the following is NOT an arithmetic sequence?
O 15, 9, 3, -3, -9
O 2, 4, 8, 16, 32
O 4, 7, 10, 13, 16
O 1, 2, 3, 4,5
Answer:
2,4,8,16,32
It's the only one that doesn't go up in the same amount.
If UW = 25 - 35 and UY = S, find the value
of s that makes quadrilateral VWXY a
parallelogram.
Answer:
s = 35 unitsStep-by-step explanation:
We know that:
Rectangle = ParallelogramUW = 2s - 35UY = sUW = UYSolution:
2s - 35 = s=> 2s - s = 35=> s = 35 unitsHence, the value of s must be 35 units so that the quadrilateral becomes a parallelogram.
A store sells stickers for $0.50 each. The relationship between the cost, y, in dollars, to buy x stickers can be represented in the form of a
graph and an equation.
Click on the graph and the equation that represent this relationship between x and y.
7
6+
Cost (in dollars)
Cost (in dollars)
Toon ontman
y = 2x
8 9
Number of Stickers
Number of Stickers
y
Answers: The correct answer choices are the second figure/graph, and y = x/2.
how do you do this? please helppppp!! thank youuu
Answer:
answer rounded up is -31.84
Step-by-step explanation:
So first, square root of 6 is 2.4494, and then you times that by 2, and then you do square root of 54 which equals to 7.34846, and then you times 5 by that, and then you do 2 times square root of 6 minus 5 times square root of 54. Hope it helps
What is the answer? Plz help
Answer:
5:15; 5 cups of juice and 15 cups of lemonade
Step-by-step explanation:
when simplified, the ratio is 1:3; so the first number multiplied by 3 equals the 2nd number
other answers: 6:18, 7:21, 8:24
Answer:
Step-by-step explanation:
each ratio can be reduced to 1/3
1/3 = 2/6 = 3/9 = 4/12 = 5/15 = 6/18 = 7/21 = 8/24 = 9/27 = 10/30 ...
The height, H, of the triangle is 8cm greater than its corresponding base.
what is the area of the triangle?
The answer of the question to find the area of the triangle is the area of the triangle is 120 cm².
What is Area ?Area is a measure of the amount of space inside a two-dimensional shape, like a rectangle, circle, or triangle. It is expressed in square units, like square meters, square feet, or square centimeters. The area of a shape is determined by multiplying the length of its sides, or its base and height, depending on the shape.
The area of triangle is found by multiplying its base by its height and dividing result by 2. Area is an important concept in many fields, including geometry, architecture, engineering, and physics.
If the base of the triangle is 12 cm, then we can use the expression we found for the height in terms of the base to find the height:
H = b + 8 = 12 + 8 = 20
So height of triangle is 20 cm.
Now we use formula for area of triangle:
A = 1/2 * b * H
Substituting the values we have:
A = 1/2 * 12 * 20
Simplifying:
A = 120 cm²
Therefore, the area of the triangle is 120cm².
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The softball team coach buys 10 pizzas after the game. altogether 4/5 of the pizza where eaten how many pizzas were eaten ?
5 points for this. I NEED THIS QUICKLY PLS HELP
Answer: 8 pizzas.
Step-by-step explanation:
4/5 of 10 is 8. You can multiply 4/5 X 10 to get 8. Therefore, 8 pizzas were eaten.
Answer:
6x + 10t
Step-by-step explanation:
hope this helped! thats the equation for it if thats what you need.
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An insurance company sells a $19,500, eight-year term life insurance policy to an individual for $885. Find the expected return for the company if the probability the individual will live for the next eight years is 0.97. (Round your answer to the nearest cent.)
$_________
The company can expect to receive an average return of $837.45 from selling this insurance policy.
To find the expected return for the insurance company, we need to calculate the total amount of money the company expects to receive from the policy, taking into account the probability that the policyholder will live or die within the next eight years.
If the policyholder lives for the next eight years, the company will receive the premium of $885 and will not have to pay out any death benefit. If the policyholder dies within the next eight years, the company will have to pay out the death benefit of $19,500. Since the probability that the policyholder will live for the next eight years is 0.97, the probability that the policyholder will die within the next eight years is 0.03.
Therefore, the expected return for the company is:
(0.97)($885) + (0.03)($19,500 - $885) = $837.45
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work is due today i need help because its hard to finish on time
esta es la respuesta 8 B)
porque si lo restas y sumas da a 8
Answer:
Step-by-step explanation:
In a circle with a radius of 0.1, an arc length of 0.4 is intercepted by an angle. To find the angle in radians, we use the formula:
angle in radians = arc length / radius
Substituting the given values, we have:
angle in radians = 0.4 / 0.1 = 4
So the angle in radians is 4 radians, to the nearest tenth.
Which phrase is the same as 5+w?
Answer:
5+w
Step-by-step explanation:
Point A is the center of this circle.
The ratio of the lengths of
to
is 2 : 1.
The required ratio of the lengths EF and AD is 2:1 for the given circle.
Given that a circle A with points B, C, D, E, F, and I on its circumference.
A chord of the circle is a line that connects any two locations on the circumference of any circle. The circle chords are BC, EF, and HI in this case.
The radius of the circle is defined as the line connecting center A with any point on the circle's perimeter. AD indicates the radius of the circle.
The diameter of the circle is any chord that passes through the center of the circle. The diameters of the circle are represented by EF and HI.
A diameter is usually twice as long as a radius.
As a result, the diameter-to-radius ratio will be 2:1.
Therefore, the required ratio of the lengths EF and AD is 2:1
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The missing figure has been attached below.
Use the shapes to answer the questions that follow:
Answer:
50%
Step-by-step explanation:
Theres 10 shapes and 5 of them are yellow. So that is 5/10 which equals 50%
hope this helps <3
Answer:
50%
Step-by-step explanation:
5/10 are yellow so 5% I think
Simplify the expression. cos x/cot x
The expression cos x/cot x simplifies to sin x by utilizing trigonometric identities and canceling out the common cosine terms in the numerator and denominator.
To simplify the expression cos x/cot x, we need to utilize trigonometric identities. Cotangent (cot x) is the reciprocal of the tangent function, so we can rewrite cot x as 1/tan x.
Now, substituting 1/tan x for cot x in the expression cos x/cot x, we have:
cos x / (1/tan x)
To divide by a fraction, we multiply by its reciprocal. Therefore, multiplying cos x by tan x, we get:
(cos x)(tan x)
Using the identity tan x = sin x / cos x, we can substitute sin x / cos x for tan x:
(cos x)(sin x / cos x)
The cos x term in the numerator and denominator cancels out, leaving us with:
sin x
Therefore, the simplified expression for cos x / cot x is sin x.
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Is the vertex from if
y=-.29 (x) ^2 +8 what is factored form
Please help it’s due today!!!!
I will mark you brainless
Answer: Vertex is (0,8)