Answer:
6
Step-by-step explanation:
(-2/3)(-9)
1) Use this rule: a/b * c = ac/b.
-2 * -9/3
2) Simplify -2 * 9 to 18.
18/3
3) Simplify.
6
Consider the following model:
yhat =2.1+1.0x²
The prediction of y is yhat. What is the estimated marginal effect of x on y when x=1.3?
________
Using the following model and corresponding parameter estimates, predict the (approximate) value of y variable when x=2 :
lny=β₁+β₂x²+u
The parameter estimates are β₁=2 and β₂=1 [Parameter estimates are given in bold font]
a. 2
b. 403.4
c. 103,4
d. 6
The value of u is not provided, we cannot determine the exact value of y. None of the given options (a, b, c, d) can be chosen as the approximate value of y.
For the first question, you are given the model yhat = 2.1 + 1.0x^2 and you want to find the estimated marginal effect of x on y when x = 1.3. To find the estimated marginal effect, you need to take the derivative of yhat with respect to x. In this case, the derivative would be 2.0x.
Now, substitute x = 1.3 into the derivative:
2.0(1.3) = 2.6.
Therefore, the estimated marginal effect of x on y when x = 1.3 is 2.6.
For the second question, you are given the model \(lny = β₁ + β₂x^2 + u\), with parameter estimates
β₁ = 2 and
β₂ = 1.
To predict the value of y when x = 2, substitute the given values into the model:
\(lny = 2 + 1(2^2) + u\)
lny = 2 + 1(4) + u
lny = 2 + 4 + u
lny = 6 + u
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PLEASE HELP !! 10 POINTS AND BRAINLIEST !!!:)
the subject of the formula is y
y=4x+3
Rearrange the formula to make x the subject
Answer:
x = (y-3)/4
Step-by-step explanation:
y-3 = 4x
x = (y-3)/4
1 and 2 are complementary angles. The measure of 1 is 62 degrees. The measure of 2 is 2x degrees. Find the value of x. The figure is not drawn to scale. The value of x is ?
If 33% of a man monthly salary is Birr of 6600, what is his total monthly salary? A. 23,200 B. 20,000 C. 9,850 D. 16,450
Answer:
The correct answer is B. 20,000
Step-by-step explanation:
To determine the man's total monthly salary, we can set up a simple equation using the given information. Let's denote the total monthly salary as "x."
According to the information provided, 33% of the man's monthly salary is equal to Birr 6600. We can express this relationship mathematically as:
0.33x = 6600
To solve for "x," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.33:
x = 6600 / 0.33
Evaluating the right side of the equation gives:
x ≈ 20,000
Therefore, the man's total monthly salary is approximately Birr 20,000.
Hence, the correct answer is B. 20,000.
The volume of a cone-shaped hole is 48 pi ft cubed . If the hole is 4 ft deep, what is the radius of the hole?
To find the radius of the cone-shaped hole, we need to use the formula for the volume of a cone, which is V = (1/3)πr^2h, where V is the volume, r is the radius, and h is the height. The radius of the cone-shaped hole is 6 feet.
We know that the volume of the hole is 48π ft^3 and the height is 4 ft, so we can plug in those values and solve for the radius:
48π = (1/3)πr^2(4)
48 = (1/3)r^2(4)
48 = (4/3)r^2
r^2 = 36
r = 6
Therefore, the radius of the cone-shaped hole is 6 ft.
To find the radius of the cone-shaped hole, we can use the formula for the volume of a cone:
Volume = (1/3) * pi * r^2 * h
where:
- Volume = 48 pi ft^3
- h = depth (4 ft)
- r = radius (what we're trying to find)
First, plug in the given values:
48 pi = (1/3) * pi * r^2 * 4
Now, we can simplify and solve for r:
48 pi = (4/3) * pi * r^2
Divide both sides by (4/3) * pi:
r^2 = 48 pi / (4/3) * pi
r^2 = 48 * (3/4)
r^2 = 36
Take the square root of both sides:
r = √36
r = 6 ft
The radius of the cone-shaped hole is 6 feet.
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Simplify 5x5^2 leaving answers in index form
Answer:
5^3
Step-by-step explanation:
5*5^2
We are multiplying when the bases are the same
5^1 * 5^2
Add the exponents
5^(1+2)
5^3
Answer:5^3
Step-by-step explanation:Its a fact
Solve
x + 2y = 3
x - y = 6
x = ?
y = ?
A student bought a pair of sunglasses in the USA. He paid $35.50 in the USA. In England, an identical pair of sunglasses costs £26.99 The exchange rate is £1 = $1.42. How much more did he pay for them in England compared to the USA?
Answer:all you do is multiply 26.99*1.42
this equals 38.33 dollars
35.50 is less than 38.33
thus, USA is cheaper than England.
Step-by-step explanation:
the following data values represent the daily amount spent by a family during a 5 day summer vacation. find the standard deviation of this dataset: $120, $60, $250, $120, $200 round the final answer to one decimal place.
The standard deviation of this dataset isapproximately 76.88 rounded to one decimal place. To find the standard deviation of this dataset, we first need to find the mean:
\(Mean = (120 + 60 + 250 + 120 + 200) / 5 = 150\)
Next, we need to find the deviation of each data value from the mean:
120 - 150 = -30
60 - 150 = -90
250 - 150 = 100
120 - 150 = -30
200 - 150 = 50
We then square each deviation:
(-30)^2 = 900
(-90)^2 = 8100
100^2 = 10000
(-30)^2 = 900
50^2 = 2500
We then find the sum of the squared deviations:
900 + 8100 + 10000 + 900 + 2500 = 23600
Next, we divide the sum of squared deviations by the number of values minus 1:
\(23600 / 4 = 5900\)
Finally, we take the square root of this value to find the standard deviation:
sqrt(5900) = 76.81
Rounding to one decimal place, the standard deviation of this dataset is 76.8.
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answer asap
On the number line, a point was moved from -7 to -3. Which of the following problems describes this move?
-7 + 4 = -3
-7 + 3 = -4
-7 - 3 = -10
-7 - 4 = -3
Answer:
-7+4=-3
Step-by-step explanation:
Think of it as adding head to cold (cold being negative numbers). You are adding four "heats" to seven which makes it hotter. The hotter something gets the closer to positive numbers it is. . . so when adding four things if heat to 7 it gets hotter by four therefore it's now at -3.
sorry if that didn't make sense
Answer & Step-by-step explanation:
To start the question, you could set up an equation to explain that -7 is being moved x units to -3
-7 + x = -3
Next you have to find x
-7 + x - (-7) = -3 - (-7)
x = 4
Now you substitute x for 4 in the original equation
-7 + 4 = -3
Hope this helped!!!
77/15 as a mixed number
Answer:
5 2/15
Step-by-step explanation:
Answer:
5 \(\frac{2}{15}\)
Step-by-step explanation:
A mixed number consists of a whole number and a proper fraction (meaning the numerator is less than the denominator).
To get a mixed number, we are going to divide 77/15 using long division:
(I attached an image down below for you to understand better)
15 goes into 77 only 5 times with a remainder of 2.
So our whole number is 5
And the remainder of 2 become of the numerator of our proper fraction, with 15 being our denominator.
So your answer is 5 \(\frac{2}{15}\)
Hope it helps (●'◡'●)
What type of slope is shown?
Answer:
Negative
Step-by-step explanation:
It going down starting from the left to right . Positive would be the other way around and zero would be side to side while undefined would be an up and down line .
Please help! (Marking brainliest)
question is in the pdf.
please solve a and b thank you
3. Consider the points K(-2,-1), L(-1, 2), M(2, 4) and N(1,1). a. Graph the points. y X b. What type of quadrilateral is KLMN? Show your work and justify your reasoning.
The points K(-2,-1), L(-1, 2), M(2, 4) and N(1,1) are attached
The quadrilateral KLMN is a parallelogram
a. Graph the points.From the question, we have the following parameters that can be used in our computation:
K(-2,-1), L(-1, 2), M(2, 4) and N(1,1)
Next, we plot the points K(-2,-1), L(-1, 2), M(2, 4) and N(1,1) on a coordinate plane
See attachment
b. What type of quadrilateral is KLMNFrom the attached graph of K(-2,-1), L(-1, 2), M(2, 4) and N(1,1), we can see that the quadrilateral KLMN
has parallel opposite sideshas congruent opposite sidesThis means that the quadrilateral KLMN is a parallelogram
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answer question below
Answer:
13n + 20
Step-by-step explanation:
the shipping rate never changes but the cost of books does depend on how many books you buy.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Round the fraction to the nearest whole number.
2
9
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
this exercise involves the formula for the area of a circular sector. the area of a sector of a circle with a central angle of 5????/11 rad is 15 m2. find the radius of the circle. (round your answer to one decimal place.) 4.5 incorrect: your answer is incorrect. m
A 15 square metres sector will have a radius of 8.1 m and a central angle of 26.04 degrees.
What is sector?The region of a disk encompassed by two radii and an arc is called a circular sector, also known as a circle sector or disk sector. The smaller area is referred to as the minor sector, and the larger area as the major sector. A sector is referred to as a component of a circle made up of the circle's arc and its two radii. It is a section of the circle made up of the arc's circumference and the radii of the circle at its ends. A slice of pizza or a pie can be used as an analogy for the form of a circle's sector.
Here,
area of sector=θ/360°*πr²
θ=5/11*180/π
θ=26.04 degree
area=15 m²
15=26.04/360*3.14*r²
15=0.227r²
r²=66.08 m²
r=8.13 m
The radius of the sector whose area is 15 m² will be 8.1 m with the central angle of 26.04 degree.
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Each day three church bells are rung in a random order. what is the probability that the smallest bell rings first three days in a row?
The probability that the smallest bell rings the first three days in a row is 1/27. when Each day three church bells are rung in a random order
In the given data there are 3 bells in the church in which there is a small bell and the three bells are rung in a random order. we need to find the probability that the smallest bell rings the first three days in a row.
The probability that the smallest bell rings on any given first day can be given as = 1/3
Because there are three bells and each bell has an equal chance of being rung first. The probability that this happens three days in a row is given as
= (1/3) × (1/3) × (1/3)
= 1/27
Therefore, the probability that the smallest bell rings the first three days in a row is 1/27
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The spinner above is used in a game. What is the theofetical probability of the given event with one spin?
P(a multiple of 3)
a.3/4
b.1/4
C.3/8
d.0
Answer B
When the price of a cup of tea is BHD 0.200, each MBA student will demand 2 cups of tea every day. There are 75 MBA students. When the price goes up to BD 0.300, they will demand just 1 cup of tea each day. Derive the market demand curve of tea for MBA students. Find the price elasticity of individual as well as the market demand curve.
The market demand curve for tea is downward sloping. The price elasticity of demand is 4, indicating elastic demand.
To derive the market demand curve for tea, we need to calculate the total quantity demanded at different prices by summing the individual quantities demanded by MBA students.
At a price of BHD 0.200, the total quantity demanded is 2 cups * 75 students = 150 cups. At a price of BHD 0.300, the total quantity demanded is 1 cup * 75 students = 75 cups. The market demand curve for tea for MBA students is a downward-sloping line connecting these two points.
To find the price elasticity of demand, we use the formula: Price elasticity = (% change in quantity demanded) / (% change in price). For the individual demand curve, the price elasticity can be calculated as (1/2) / (0.1/0.2) = 4.
For the market demand curve, the price elasticity is the average of the individual elasticities, which is also 4. This indicates that the demand for tea by MBA students is relatively elastic, meaning that a small change in price will result in a relatively large change in the quantity demanded.
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Consider the function f(x)= z+1 (a) Find the domain of f (x). Note: Use the letter U for union. To enter oo, type infinity. Domain: (b) Give the horizontal and vertical asymptotes of f(z), if any. Enter the equations for the asymptotes. If there is no horizontal or vertical asymptote, enter NA in the associated response area. horizontal asymptote: 1 vertical asymptote: -2 (c) Give the intervals of increase and decrease of f (x). Note: Use the letter U for union. To enter oo, type infinity. If the function is never increasing or decreasing, enter NA in the associated response area. increasing: (-infinity, infinity) decreasing: NA (d) Give the local maximum and minimum values of f(x). (d) Give the local maximum and minimum values of f(x). Enter your answers in increasing order of the 2-value. If there are less than two local extrema, enter NA in the remaining response areas and the corresponding drop-down menu. Include a multiplication sign between symbols. For example, a }= NA }( NA (e) Give the intervals of concavity of f(x). Note: Use the letter U for union. To enter oo, type infinity If the function is never concave upward or concave downward, enter NA in the associated response area concave upward: (-2, infinity) concave downward: (-infinity-2) (n) Give the inflection points of f(a). Enter your answers in increasing order of the z-coordinate. If there are less than two points of inflection, enter NA in the remaining response areas Include a multiplication sign between symbols. For example, a. De E
The domain of f(x) is all real numbers, since there are no restrictions on the values of x. Domain: (-∞, ∞).
(b) There is no horizontal asymptote for f(x) since the function does not approach a specific value as x approaches positive or negative infinity. The vertical asymptote of f(x) is x = -1, as the function approaches infinity as x approaches -1 from both sides. Horizontal asymptote: NA; Vertical asymptote: x = -1. (c) The function f(x) = z + 1 is a linear function, so it is always increasing. There are no intervals of increase or decrease. Increasing: (-∞, ∞); Decreasing: NA. (d) Since f(x) = z + 1 is a linear function, it does not have any local maximum or minimum values. Local maximum: NA; Local minimum: NA. (e) The function f(x) = z + 1 is a linear function, so it does not change concavity. There are no intervals of concavity. Concave upward: NA; Concave downward: NA.
Since the function f(x) = z + 1 is a linear function, it does not have any inflection points. Inflection points: NA.
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A botanist measured the height of 15 plants grown in direct sunlight and found a mean height of 12.5 in and a standard deviation of 1.6 in. a. Construct a 95% confidence interval for her sample mean and interpret your interval in words. b. Assume she repeated her experiment, this time measuring the height of 200 plants. Construct a 95% CI for this new experiment. Interpret your interval in words. c. Was the width of the 95% CI she created with 200 plants larger, smaller or the same as the 1% one she constructed? Explain your answer. d. If she wished to construct a 90% CI for this data would this interval be larger, smaller or the same as the 95% CI? Explain your answer. (Do NOT construct this interval)
a. Height of the plants grown in direct sunlight is (11.977, 13.023) inches. b. the 95% confidence interval for the sample mean height would have a similar interpretation but with a smaller margin of error. c. The width would likely be smaller than the one she constructed with 15 plants d 90% confidence interval would be narrower than a 95% confidence interval for the same data.
a. The 95% confidence interval for the sample mean height of the plants grown in direct sunlight is (11.977, 13.023) inches. This means that we are 95% confident that the true population mean height falls within this interval.
b. For the new experiment with 200 plants, the 95% confidence interval for the sample mean height would have a similar interpretation but with a smaller margin of error. The interval would provide an estimate of the true population mean height with 95% confidence.
c. The width of the 95% confidence interval she created with 200 plants would likely be smaller than the one she constructed with 15 plants. As the sample size increases, the standard error decreases, resulting in a narrower interval.
d. If she wished to construct a 90% confidence interval for this data, the interval would be smaller than the 95% confidence interval. A higher confidence level requires a wider interval to capture a greater range of possible values for the population mean. Therefore, a 90% confidence interval would be narrower than a 95% confidence interval for the same data.
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4. explain why there are two high tides and two low tides each day. strictly speaking, should the period during which there are two high tides be 24 hours? if not, what should the interval be?
The interval should be 12 hours and 25 minutes for the two high tides and two low tides.
What is interval ?
An interval refers to the amount of time it takes for a tide to go from high to low or low to high
The reason for two high tides and two low tides each day is due to the gravitational pull of the moon and the sun on Earth's oceans. These gravitational forces cause the water in the oceans to bulge, creating high tides. The gravitational pull of the moon is stronger than that of the sun, so the moon has a greater impact on tides.
The time it takes for the tide to go from high to low and back to high is called the tidal period, which is about 12 hours and 25 minutes. This is not exactly 24 hours because the Earth is also rotating on its axis, so the position of the Moon and the Sun relative to a specific location on the Earth's surface is constantly changing.
So, the interval should be 12 hours and 25 minutes for the two high tides and two low tides.
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algebra 2
-16x^2+4x+13=0
Answer:
x=1 ± √53/8Step-by-step explanation:
Which equation is quadratic in form?
a.6(x + 2)2 + 8x + 2 + 1 = 0
b.6x4 + 7x2 – 3 = 0
c.5x6 + x4 + 12 = 0
d.x9 + x3 – 10 = 0
Answer:
d. x9 + x3 – 10 = 0
A hollow rectangular section has outside dimensions 30cm x 15cm. The material of the section is 2 5cm thick. The effective length is 6m: Calculate the least radius of gyration. (1) (0) Calculate the slenderness ratio. 60mm is
To calculate the least radius of gyration and the slenderness ratio of a hollow rectangular section with given dimensions and material thickness, we need to follow the formulas and steps involved. The least radius of gyration is a measure of the distribution of material around the centroid of a section, while the slenderness ratio provides information about the stability of the section under axial loading.
1. To calculate the least radius of gyration, we use the formula:
r_min = sqrt((I / A))
where I is the moment of inertia of the section and A is the cross-sectional area. For a hollow rectangular section, the moment of inertia can be calculated using the formula:
I = ((b1 * h1^3) - (b2 * h2^3)) / 12
where b1 and b2 are the outer and inner dimensions of the section, and h1 and h2 are the outer and inner heights of the section. The cross-sectional area A can be calculated as:
A = (b1 * h1) - (b2 * h2)
2. To calculate the slenderness ratio, we divide the effective length of the section by the least radius of gyration:
Slenderness ratio = L / r_min
Given that the effective length is 6m, and considering the dimensions provided in millimeters (30cm x 15cm), we convert 60mm to meters (0.06m).
By substituting the given values into the formulas and performing the calculations, we can find the least radius of gyration and the slenderness ratio for the hollow rectangular section.
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Find the length and width of a rectangle whose perimeter is 32 feet and whose area is 60 square feet. find the length of the longer and the width of the shorter side.
Answer:
length: 10 ftwidth: 6 ftStep-by-step explanation:
You want the dimensions of a rectangle with an area of 60 square feet and a perimeter of 32 feet.
Side lengthsThe perimeter is twice the sum of the length and width, so that sum is ...
32 ft/2 = 16 ft
FactorsThe area is the product of the length and width, so we are looking for factors of 60 that have a sum of 16:
60 = 60·1 = 30·2 = 20·3 = 15·4 = 12·5 = 10·6
The sums of these factor pairs are 61, 32, 23, 19, 17, 16, so the factor pair of interest is 10 and 6.
The length and width of the rectangle are 10 ft and 6 ft, respectively.
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a hole of radius unit is bored through the center of a sphere of radius unit. find the exact value of the volume of the remaining portion of the sphere.
The volume of the remaining portion of the sphere is 2.096 cubic units.
Let's take the volume of the remaining portion of the sphere = V
The volume of the sphere = \(\frac{4}{3}\) * π * \(r^3\)
The volume of the sphere with radius 1 = 4/3 * π
The volume of the cylinder = π * \(r^2\) * h
The volume of the cylinder with height 2 and radius 1 = π * \(r^2\) * h = 2 * π.
The difference between the volume of the sphere and the cylinder is
V = 4/3 * π - 2 * π = 4/3 * π - 2 * π = 2/3 * π.
By taking π = 3.14
V = \(\frac{2}{3}\) * 3.14
V= 2.096.
So, the volume of the remaining portion of the sphere is 2.096 cubic units.
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Consider the system of equations. y = –x + 3 y = –x – 3 The graph of the first equation is shown by the orange line. On a coordinate plane, an orange line goes through points (0, 3) and (3, 0). What is the slope of the orange line? If the second equation was drawn on the same graph, what would be its slope? If the lines of both equations were shown on the same graph, they would . The system of equations has .
Answer:
Step-by-step explanation:
Answer: The answers are -1, -1, be parallel, and no solution.
Step-by-step explanation: I got it correct on Edge, hope this helps!