Answer: 3 units to the left of three because the answer would be -3
Step-by-step-explanation: If we subtract 6 from 3, we get -3. Pretend these are dolars. So we have 3
How many dolars do you have left?
Well, we pay them the three we have, but then we owe them $3, because they still need $6 total.
We owe them 3 dolars, or we have -3 dollars.
Now let's just put a dot where -3 is on a number line.
Another way to look at this would be we started with 3 (blue dot) and we subtract 6, or move 6 to the left to get our red dot...which is -3
Either way you do it, -3 (which is the red dot) is your answer.
Answer:
3 units to the left of 3
Step-by-step explanation:
Data were collected on the ages, in years, of the men and women enrolled in a large sociology course. Let the random variables M and W represent the ages of the men and women, respectively. The distribution of M has mean 20.7 years and standard deviation 1.73 years. The distribution of W has mean 20.2 years and standard deviation 1.60 years. Of all of those enrolled in the course, 54 percent are men and 46 percent are women. What is the mean age of the combined distribution of both men and women in the course? (A) 20.2 years (B) 20.43 years (C) 20.45 years (D) 20.47 years (E) 40.9 years
The answer is 20.45 years. The mean age of the combined distribution of both men and women in the course is approximately 20.45 years.(Option-c)
Since we know the percentages of men and women enrolled in the sociology course, we can use them to calculate the weighted average of the mean ages for men and women.
Let the combined distribution of both men and women be represented by the random variable X. We know that X is a weighted average of the mean ages for men and women, with weights equal to their respective percentages. That is:
X = 0.54*M + 0.46*W
We're asked to find the mean age of X. To do that, we need to find the expected value of X, which is the same as the mean of X. So we need to calculate E(X):
E(X) = E(0.54*M + 0.46*W)
By linearity of expectation, we know that:
E(aX + bY) = aE(X) + bE(Y)
So we can simplify E(X) as:
E(X) = 0.54*E(M) + 0.46*E(W)
We're given the mean ages for M and W, so we can substitute these values into the equation:
E(X) = 0.54*20.7 + 0.46*20.2
Simplifying, we get:
E(X) = 20.45 years (option-c)
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What’s the equation for
3/9 + 2/3
Answer:
1
Step-by-step explanation:
3/9 + 2/3
Simplify the first fraction by dividing the top and bottom by 3
1/3 + 2/3
Since the denominators are the same, add the numerators
3/3
1
2) Suppose the probability distribution for the one-period return of some asset is as follows: Retur Probability 0.27 0.25€ 0.18 0.25+ 0.10 0.30 0.04 0.20+ b. What is this asset's variance and stand
The asset's variance is approximately 0.0358, and its standard deviation is approximately 0.1891.
To calculate the variance and standard deviation of the asset's returns, we'll follow the steps mentioned earlier using the given probability distribution:
⇒ Calculate the expected return (μ):
μ = (0.27 * 0.25) + (0.18 * 0.25+) + (0.10 * 0.30) + (0.04 * 0.20+)
= 0.0675 + 0.045 + 0.03 + 0.008
= 0.1505
⇒ Calculate the variance (σ^2):
σ^2 = [(0.27 - μ)^2 * 0.25] + [(0.18 - μ)^2 * 0.25+] + [(0.10 - μ)^2 * 0.30] + [(0.04 - μ)^2 * 0.20+]
Substituting the values and simplifying:
σ^2 = [(0.27 - 0.1505)^2 * 0.25] + [(0.18 - 0.1505)^2 * 0.25+] + [(0.10 - 0.1505)^2 * 0.30] + [(0.04 - 0.1505)^2 * 0.20+]
= [(0.1195)^2 * 0.25] + [(0.0295)^2 * 0.25+] + [(-0.0505)^2 * 0.30] + [(-0.1105)^2 * 0.20+]
= 0.017972 + 0.00021617 + 0.0030309025 + 0.01459516
= 0.0358141325
⇒ Calculate the standard deviation (σ):
σ = √(σ^2)
= √(0.0358141325)
≈ 0.1891
Therefore, the asset's variance is approximately 0.0358 and the standard deviation is approximately 0.1891.
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Which is the equation of the graphed line written in
standard form?
Answer:
D the slope of the line is 1/2 and the y intercept is 0 so the answer is y = 1/2x + 0 or just y = 1/2x
Use Euler's method with step size 0.5 to compute the approximate y-values y1≈y(0.5),y ≈y(1),y3≈y(1.5), and y4 ≈y(2) of the so y′=2−3x+2y,y(0)=3. y1=y2=y3=y4=y-values y1≈y(0.5),y2≈y(1),y3≈y(1.5), and y4≈y(2) of the solution of the initial-value problem y′ =2−3x+2y,y(0)=3
We are given a differential equation with an initial value problem. We will be using Euler's method to compute the approximate y-values of the solution at different x-values with the given step size.
Using the given differential equation: y′ =2−3x+2y, we know that y(0) = 3.We need to compute the approximate y-values of the solution at different x-values with the given step size of 0.5. To do that we will be using Euler's method. The Euler's method is as follows:
y1 = y0 + h(y′0)
where,y0 = 3 (initial value of y at x = 0)h = 0.5 (step size)
y′0 = 2−3x0+2y0 (the differential equation at x0 = 0, y0 = 3)
y1 = 3 + 0.5(2 - 3(0) + 2(3))= 6y2 = y1 + h(y′1)
where,y1 = 6 (the value of y at x = 0.5)
y′1 = 2−3x1+2y1 (the differential equation at x1 = 0.5, y1 = 6)
y2 = 6 + 0.5(2 - 3(0.5) + 2(6))= 12y3 = y2 + h(y′2) where,y2 = 12 (the value of y at x = 1)
y′2 = 2−3x2+2y2 (the differential equation at x2 = 1, y2 = 12)
y3 = 12 + 0.5(2 - 3(1) + 2(12))= 22y4 = y3 + h(y′3)
where,y3 = 22 (the value of y at x = 1.5)
y′3 = 2−3x3+2y3 (the differential equation at x3 = 1.5, y3 = 22)
y4 = 22 + 0.5(2 - 3(1.5) + 2(22))= 36
Thus, we used the Euler's method with step size 0.5 to compute the approximate y-values of y1≈y(0.5), y2≈y(1), y3≈y(1.5), and y4 ≈y(2) of the solution of the initial-value problem y′ =2−3x+2y, y(0) = 3.
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Need help please!!!!!
Answer:
AAS
Step-by-step explanation:
Answer:
EZ 3rd one think bout it commmon since
Step-by-step explanation:
What is the slope of y = -4?
Answer:
The slope is 0
Step-by-step explanation:
y = -4 is a horizontal line
Horizontal lines have a slope of zero
The ages (years) of three government officials when they died in office were 56, 46, and 60. Complete parts (a) through () a. Assuming that 2 of the ages are randomly selected with replacement, list the difflerent possible samples O A. (56,56), (56,46),(56,60),(46,46),(46,60),(60,60) ○ B. (56,46),(56,60),(46,56),(46.60)·(00,56),(60A6) O C. (56,46),(56,60),(46,60) O D. (56,56), (56,46)(56,60),(46,56),(46,46),(46,60),(60,56),(60,46),(60,60) b. Find the range of each of the samples, then summarize the sampling distribution of the ranges in the format of a table representing the probability distribution Sample Range Probability Type an integer or a fraction.) c. Compare the population range to the mean of the sample ranges Choose the correct answer below
a) The different possible samples, assuming 2 ages are randomly selected with replacement, are:
A. (56, 56), (56, 46), (56, 60), (46, 46), (46, 60), (60, 60)
B. (56, 46), (56, 60), (46, 56), (46, 60)
C. (56, 46), (56, 60), (46, 60)
D. (56, 56), (56, 46), (56, 60), (46, 56), (46, 46), (46, 60), (60, 56), (60, 46), (60, 60)
b) To find the range of each sample, we subtract the minimum age from the maximum age. The sampling distribution of the ranges can be summarized in the following table representing the probability distribution:
Sample Range Probability
2 2/9
10 3/9
14 3/9
c) To compare the population range to the mean of the sample ranges, we need the population range. Since the given information only provides the ages of the government officials when they died, the population range cannot be determined. Therefore, we cannot compare the population range to the mean of the sample ranges.
Note: The actual range of the population would depend on the complete set of ages of government officials, which is not provided in the given information.
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Find the value of X.
3(4x + 8) = - 35+23
Answer:
x = -3
Step-by-step explanation:
3(4x + 8) = - 35+23
Combine like terms
3(4x + 8) =-12
Divide by 3
3/3(4x + 8) = -12/3
4x+8 = -4
Subtract 8 from each side
4x+8-8 = -4-8
4x = -12
Divide by 4
4x/4 = -12/4
x = -3
Answer:
x= -3
Step-by-step explanation:
first distribute 3 into the parenthesis
than it will result in 12x+24=-35+23. Than add -35+23
Than it will result in 12x+24=-12. Than subtract 24 from each sides.
This will result in 12x=-36. Than divide 12/-36 than you get -3 for x
I need help ASAP please!!!!!!
Answer:
1. d
2. c
3. b
4. a
Step-by-step explanation:
Answers:
1. d
2. c
3. b
4. a
================================================
Explanation:
For problem 1, subtracting a negative is the same as adding a positive. The two negatives cancel out
In problem 2, we can add a negative to mean we're subtracting. One way to think of it is like adding on debt to your bank balance.
Problem 3 is similar to problem 2. The first term -17 isn't changed.
Problem 4 is similar to problem 1. The only difference is that the 17 is negative this time around.
Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. 's car had5.4 gallons in the 12-gallon tank on the coldest day of the year. Filled the tank with gas that cost $3.60 per gallon. How much did spend on gas?
Answer:
$19.44
Step-by-step explanation:
5.4 gallons in the 12-gallon tank on the coldest day of the year.
1 gallon = $3.60
5.4 gallons = x
Cross Multiply
x = 5.4 gallons × $3.60 /1 gallon
x = $19.44
Therefore, you spent $19.44 on gas
The math club decided to have a car wash to raise money for competition expenses The graph below shows the relationship between cars washed and earnings (in dollars).
What is the domain of the graphed function?
Group of answer choices
A) -20≤y≤40,where x≥0
B)-20≤y≤40, where y is all integers
C)0≤x≤12, where x≥0
D)0≤x≤12, where x is all non-negative integers
Answer:
b
Step-by-step explanation:
The domain of the graph is the value on the x-axis. Domain = 0≤y≤50,where x≥0
Since we are not given the required graph. I am going to explain in a general way that is applicable to any form of a graph
Domains are input values of a function for which the function exists.
For a graph, they are values of the curve or line function along the x-axis.
Using the attached graph for instance. The domain of the graph is the value on the x-axis. Domain = 0≤y≤50,where x≥0
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write an equation in slope-intercept form of the line that passes through the points (-2,3) and (2,7)
4
B
5
1
n
In Exercises 18-21,use the following information to find the distance
between the point and the line.
The distance d between the point (x,y) and the line Ax + By = Cis d =
AX, + By, - c
DonaldandLauracompetedina1kmrace.DonaldcompletedtheraceinCCVII seconds and Laura completed it in CCCXLVIII seconds. By how many seconds (in Roman numerals) was Donald ahead of Laura?
a. DLV b. CXLIV c. CXL d. CXLI
Answer: D
Steps: CXLI = 141 seconds
Plz mark brainliest:)
Suppose M is the midpoint of PQ. If PM=6x-49 and MQ=47-2x, find PQ
Please halp
Answer:
PQ = 46
Step-by-step explanation:
PM = 6x - 49
MQ = 47 - 2x
6x - 49 = 47 - 2x
8x - 49 = 47
8x = 96
x = 12
PM = 6x - 49
= 6(12) - 49
= 23
MQ = 47 - 2x
= 47 - 2(12)
= 47 - 24
= 23
PQ = PM + MQ
= 23 + 23
= 46
Learning Task 3. Solve for the variable of the following quadratic equations
A. by extracting square roots.
1. x2 = 169
4. (x - 2)2 = 16
2. 9b2 = 25
5. 2(t - 3)2 - 72 = 0
3. (3y - 1)2 = 0
B. by factoring
1. x2 + 7x = 0
3. x2 + 5x - 14 = 0
2. m2 + 8m = -16
4. 2y2 +8y - 10= 0
C. by completing the square.
1. x2 + 5x + 6= 0
2. x2 + 2x = 8
3. 2x2 + 2x = 24
D. using quadratic formula.
1. x2 + 5x = 14
2. 2x2 +8x - 10= 0
3. 2x2 + 3x = 27
Answer:
A. By extracting square roots
1. x = 13
4. x = 6
2. b = 5/3
5. t = 9
3. y = 1/3
B. By factoring
1. x = -7
3. x = -7 or x = 2
2. m = -8 or m = -2
4. y = -5 or y = 1
C. By completing the square
1. x = 2 or x = 3
2. x = 10 or x = -8
3. x = 3 or x = -4
D. Using the quadratic formula
1. x = 2 or x = -7
2. x = 1 or x = -5
3. x = 3 or x = -4.5.
Step-by-step explanation:
A. By extracting square roots
1. x² = 169
Extracting square roots from both sides of the equation gives;
√(x²) = x and √169 = 13
∴ √(x²) = √169 = 13
x = 13
4. (x - 2)² = 16
Extracting square roots from both sides of the equation gives;
√(x - 2)²= √16 = 4
However;
√(x - 2)² = x - 2
∴ x - 2 = √16 = 4
x - 2 = 4
x = 4 + 2 = 6
x = 6
2. 9·b² = 25
√(9·b²) = √25 = 5
√(9·b²) = √9 × √(b²) = 3·b
∴ 3·b = √25 = 5
3·b = 5
b = 5/3
5. 2·(t - 3)² - 72 = 0
2·(t - 3)² = 72
(t - 3)² = 72/2 = 36
t - 3 = √36 = 6
t = 6 + 3 = 9
t = 9
3. (3·y - 1)² = 0
√(3·y - 1)² = √0
∴ 3·y - 1 = 0
3·y = 0 + 1 = 1
y = 1/3
B. By factoring
1. x² + 7·x = 0
By factoring, we have;
x·(x + 7) = 0
(x + 7) = 0/x = 0
x + 7 = 0
x = 0 - 7 = -7
x = -7
3. x² + 5·x - 14 = 0
Noting that 7 × (-2) = -14 and 7 + (-2) = 5, we get;
x² + 5·x - 14 = (x + 7)·(x - 2) = 0
∴ x = -7 or x = 2
2. m² + 8·m = -16
m² + 8·m + 16 = 0
Which gives;
m² + 8·m + 16 = (m + 8) × (m + 2) = 0
m = -8 or m = -2
4. 2·y² + 8·y - 10 = 0
Which gives;
2·(y² + 4·y - 5) = 0
y² + 4·y - 5 = 0/2 = 0
y² + 4·y - 5 = (y + 5) × (y - 1) = 0
y = -5 or y = 1
C. By completing the square
1. x² + 5·x + 6 = 0
x² + 5·x = -6
Adding (5/2)² to both sides of the equation gives;
x² + 5·x + (5/2)² = -6 + (5/2)²
Which gives;
(x + 5/2)² = -6 + (5/2)² = 1/4
x + 5/2 = ±√(-6 + (5/2)²) = ±√(1/4)
x + 5/2 = ±1/2
x = 5/2 - 1/2 or x = 5/2 + 1/2
∴ x = 2 or x = 3
2. x² + 2·x = 8
x² + 2·x + (2/2)² = 8 + (2/2)²
2/2 = 1 and (2/2)² = 1² = 1
∴ x² + 2·x + (2/2)² = 8 + (2/2)² gives;
x² + 2·x + 1 = 8 + 1 = 9
(x + 1)² = 9
x + 1 = ±√9
x = 1 + 9 or x = 1 - 9
x = 10 or x = -8
3. 2·x² + 2·x = 24
2·(x² + x) = 24
x² + x = 24/2 = 12
x² + x = 12
x² + x + (1/2)² = 12 + (1/2)²
(x + 1/2)² = 12 + (1/2)² = 49/4
√(x + 1/2)² = √(49/4) = ±7/2 = ± 3.5
x + 1/2 = ±3.5
x = -1/2 + 3.5 or x = -1/2 - 7/2
x = -0.5 + 3.5 or x = -0.5 - 3.5
x = 3 or x = -4
D. Using the quadratic formula
1. x² + 5·x = 14
Simplifying, gives;
x² + 5·x - 14 = 0
The quadratic formula for the equation, a·x² + b·x + c = 0, is given as follows;
[tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]
Comparing with the equation in the question, we get;
[tex]x = \dfrac{-5\pm \sqrt{5^{2}-4\times 1\times(-14)}}{2\times 1} = \dfrac{-5\pm \sqrt{81}}{2} = \dfrac{-5\pm 9}{2} = \dfrac{-5+ 9}{2} \ or \dfrac{-5 - 9}{2}[/tex]
x = 4/2 or x = -14/2
x = 2 or x = -7
2. 2·x² + 8·x - 10 = 0
quest
2. 2·x² + 8·x - 10 = 0
[tex]x = \dfrac{-8\pm \sqrt{8^{2}-4\times 2\times(-10)}}{2\times 2} = \dfrac{-8\pm \sqrt{144}}{4} =\dfrac{-8+ 12}{4} \ or \dfrac{-8 - 12}{4}[/tex]
x = 4/4 or x = -20/4
x = 1 or x = -5
3. 2·x² + 3·x = 27
Rewriting the above equation in the form a·x² + b·x + c = 0, we get;
2·x² + 3·x - 27 = 0
Which gives;
[tex]x = \dfrac{-3\pm \sqrt{3^{2}-4\times 2\times(-27)}}{2\times 2} = \dfrac{-3\pm \sqrt{225}}{4} =\dfrac{-3+ 15}{4} \ or \dfrac{-3 - 15}{4}[/tex]
x = 12/4 = 3 or x = -18/4 = -4.5
x = 3 or x = -4.5.
7) In 2019, Skylar sold an apartment building for $144,000 cash and a $1,440,000 note due in two years. Skylar's cost of the property was $1,152,000, and he had deducted depreciation of $691,200, $276,480 of which was in excess of what the straight-line amount would have been. a. Under the installment sales method, what is Skylar's total realized gain? b. In 2019, how much § 1250 gain does Skylar recognize? How much § 1231 gain does he recognize?
Answer:
(a) he total realized gain is $1,123,200.
(b) § 1250 gain realized in 2019 is, $276,480.
(c) The § 1231 gain realized in 2019 is, $77040.
Step-by-step explanation:
(a)
Compute Skylar's total realized gain under the installment sales method as follows:
Cash Received = $144,000
Note Receivable = $1,440,000
Total Selling Price = Cash Received + Note Receivable
= $144,000 + $1,440,000
= $1,584,000
Cost of Property = $1,152,000
Deducted Depreciation = $691,200
Adjusted Bias = Cost of Property - Deducted Depreciation
= $1,152,000 - $691,200
= $460,800
Total Realized Gain = Total Selling Price - Adjusted Bias
= $1,584,000 - $460,800
= $1,123,200
Thus, the total realized gain is $1,123,200.
(b)
§ 1250 gain will be same as the amount of depreciation that was in excess of the straight-line amount.
Thus, § 1250 gain realized in 2019 is, $276,480.
(c)
Total Realized Gain = $1,123,200
§ 1250 gain realized in 2019 = $276,480
§ 1231 gain = Total Realized Gain - § 1250 gain realized in 2019
= $1,123,200 - $276,480
= $846,720
The total selling price was, $1,584,000.
Compute the percentage of § 1231 gain of the selling price as follows:
§ [tex]\text{ 1231 gain}\%=\frac{846,720}{1,584,000}\times 100=53.45455\%\approx 53.5\%[/tex]
Thus, 53.5% of the cash received will be the § 1231 gain.
§ 1231 gain realized in 2019 = $144,000 × 53.5% = $77,040.
Thus, the § 1231 gain realized in 2019 is, $77040.
what is the radius of a circle in which the distance from the center of the circle to the edge of the circle is 4
The distance from the center of a circle to the edge is called the radius of the circle. In this case, the distance is given as 4 units.
Therefore, the radius of the circle is 4 units.
The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. If you want to find the circumference of the circle, you can use this formula by substituting the radius value.
The radius of a circle is the distance from the center of the circle to any point on the edge of the circle. If the distance from the center of the circle to the edge of the circle is 4, then the radius of the circle is 4.
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Solve two and one-third times two and three fourths.
A four and three twelfths
B six and five twelfths
C seven and five twelfths
D eight and three twelfths
E nine and 8 twelfths
Answer:
B
Step-by-step explanation:
Hope this helps
Alex and 4 of his friends are planning to split the cost of lunch. they want to spend at most $6 dollars per person. write and solve an inequality to find the maximum cost of the lunch they can order.
Answer:
They can order ≤ $24 in order for the inequality to be correct
u got snap and wanna ft breanna_8406
Answer:
hiiiii
Step-by-step explanation:
Answer:
-.-_-.- rlly dont use this just to find friends
Step-by-step explanation:
Identify the type of function represented by the equation y = – 3.
a
absolute value
b
quadratic
c
constant
I think the answer of this question is number b. quadratic
who can answer all my math questions right?
Answer:
I can
Step-by-step explanation:
i can
Which equation has non-real solutions
Answer: bro u need to give us the answer choices not just the answer
Step-by-step explanation:
If Taylor uses 1 3/4 tablespoons of coffee to make 5 cups of coffee, how much would he need to make one cup of coffee?
Can you show me how to answer this question?
Answer:
Rollerskates: 9 miles/hr
Bike: 17.5 miles/hr
Step-by-step explanation:
How fast→ referring to speed
Speed= distance/ time
Rollerskates:
Distance= ¾ mile
Time= 5 mins
Since the question wants the speed to be in miles per hour, convert the time from minutes to hours.
60 mins= 1 hr
1 min= 1/60 hr
Time= 5/60 hr
Speed
[tex] = \frac{3}{4} \div \frac{5}{60} \\ = \frac{3}{4} \times \frac{60}{5} \\ = 9 \: miles/hr[/tex]
Bike:
Distance= 3.5 miles
Time
= 12 mins
= 12/60 hr
= ⅕ hr
Speed
= distance ÷ time
= 3.5 ÷ ⅕
= 3.5 ×5
= 17.5 miles/hr
Find the midpoint of the segment with the following endpoints.
(-2,3) and (5, -6)
Answer:
The midpoint is ( 1.5, -1.5)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoint and divide by 2
( -2+5)/2 = 3/2 =1.5
To find the y coordinate of the midpoint, add the y coordinates of the endpoint and divide by 2
( 3-6)/2 = -3/2 =-1.5
The midpoint is ( 1.5, -1.5)
Solve the formula for the indicated variable.
The formula for the perimeter P of a triangle with sides of length a,b, and c is P=a+b+c. Solve the formula for b.
Answer: b = p - a -c
Step-by-step explanation:
p= a + b + c Solving for b means getting b on one side by itself.
p = a + b + c To solve for b first subtract a from both sides to get,
-b -b
p - a = b + c Now subtract c from both sides to get
-c -c
p - a - c = b
b = p - a -c
Answer:
b = P - a - cStep-by-step explanation:
Perimeter P = a + b + c
find b
P - a - c = b
b = P - a - c
The parking lot charges $2 for the first hour plus 50¢ for each additional half hour or part thereof. What is the total charge for parking a car in the lot from 11:30 a.m. until 2:15 p.m.?