The t-statistic is calculated by dividing option (d) the OLS estimator by its standard error.
The t-statistic is a measure of the significance of the estimated coefficient in a linear regression model. It is calculated by dividing the estimated coefficient (also known as the OLS estimator) by its standard error.
The formula for the t-statistic is:
t = (estimated coefficient - hypothesized value) / standard error
Where the hypothesized value is the value that is assumed to be the true population parameter. This value is usually zero when testing for the significance of a coefficient.
Therefore, the correct answer is (d) the OLS estimator by its standard error.
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Craig gets a bonus with his club for every frisbee golf hole on which he makes a score of 3. He played last week and scored a total of 3 on 5 holes. Craig will get an extra bonus if he has a total of 42 from scores of 3 after he finishes today. On how many holes does he need to score a 3 today?
The total number of holes Craigs need to have a score of 3 today is equal to 37.
On every every frisbee golf hole having a score 3 = one bonus.
Total scored while playing last week = 3 on 5 holes
Total extra bonus scored by Craig = 5
Getting extra bonus on total = 42 from score of 3
let us consider Craigs need 'x' holes on a score of 3 today
Required equation is,
x + 5 = 42
Subtract 5 from both the side of the equation we get,
⇒ x = 42 - 5
⇒ x = 37 holes
Therefore, Craigs need to have 37 holes to score a 3 today.
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4 out of 7 questions. PLEASE help me.
A tangent line is line GJ.
A secant line is line HF.
A chord is line GF.
What is the chord of a circle?In Mathematics and Geometry, the chord of a circle can be defined as a line segment that typically join any two (2) points on a circle. This ultimately implies that, a chord simply refers to the section of the line that is used for connecting two (2) separate points on a circle such as line GF.
What is a secant line?In Mathematics and Geometry, a secant line can be defined as a type of line that intersects the edge of a circle twice i.e it goes through the interior of the circle twice and intersects its boundary twice such as line HF.
In conclusion, a tangent line is a type of line that lies outside of a circle and intersects the edge of a circle exactly once i.e it touches the outside of the circle only once such as line GJ.
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Let a, b, c, and d be positive numbers. Which one of the following is an expression for the area of the rectangular region whose boundary is formed by the equations x=−c, x=+d, y=+a, y=−b?
The expression for the area of the rectangular region whose boundary is formed by the equations x=−c, x=+d, y=+a, y=−b is ad + bd + ac + bc.
The rectangular region whose boundary is formed by the equations x=−c, x=+d, y=+a, y=−b can be visualized as a rectangle with width d+c and height a+b.
Area is a measurement of the size of a two-dimensional surface, such as a plane or a flat shape.
Therefore, the area of the rectangular region is given by
Area = Width x Height
Substitute the values in the equation and find the expression of area
= (d + c) x (a+b)
= ad + bd + ac + bc
So the expression for the area of the rectangular region is
ad + bd + ac + bc.
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The given question is incomplete, the complete question is:
Let a, b, c, and d be positive numbers. Find the expression for the area of the rectangular region whose boundary is formed by the equations x=−c, x=+d, y=+a, y=−b?
PLSSSS HELP IF YOU TURLY KNOW THISSS
1. Multiply both sides by 2. 4 + 3x = 5 * 2
2. Simplify. 4 + 3x = 10
3. Subtract 4 from both sides to single out x. 3x = 10 - 4
4. Simplify. 3x = 6
5. Divide by 3. x = 6/3
6. Simplify. x = 2
Input 2 into the original equation to check this answer and you will get 5 = 5 which means that x = 2 is your final answer.
Answer: x = 2
Step-by-step explanation:
To solve for x, we will isolate the variable (x).
Given:
[tex]\displaystyle \frac{4+3x}{2}=5[/tex]
Multiply both sides of the equation by 2:
4 + 3x = 10
Subtract 4 from both sides of the equation:
3x = 6
Divide both sides of the equation by 3:
x = 2
Suppose that the miles-per-gallon (mpg) rating of passenger cars is a normally distributed random variable with a mean and a standard deviation of 33.8 and 3.5 mpg, respectively. Use Table 1.
a. What is the probability that a randomly selected passenger car gets more than 35 mpg?
b. What is the probability that the average mpg of four randomly selected passenger cars is more than 35 mpg?
c. If four passenger cars are randomly selected, what is the probability that all of the passenger cars get more than 35 mpg?
the probability that a randomly selected passenger car gets more than 35 mpg is approximately 0.3665.
the probability that the average mpg of four randomly selected passenger cars is more than 35 mpg is approximately 0.087
the probability that all of the passenger cars get more than 35 mpg is approximately 0.015.
We need to find [tex]P(X > 35),[/tex] where X is the mpg rating of a randomly selected passenger car.
The standard normal distribution and Table 1, we have:
[tex]z = (35 - 33.8) / 3.5 = 0.34[/tex]
[tex]P(X > 35) = P(Z > 0.34) = 0.3665[/tex]
[tex]P(\bar X > 35)[/tex], were [tex]\bar X[/tex] is the sample mean mpg rating of four randomly selected passenger cars.
The population standard deviation, we use the t-distribution with [tex]n-1[/tex] degrees of freedom (were [tex]n = 4[/tex]) and Table 1. We have:
[tex]t = (35 - 33.8) / (3.5 / \sqrt(4)) = 1.83[/tex]
Using Table 1 with 3 degrees of freedom ([tex]n-1 = 4-1[/tex]), we find:
[tex]P(T > 1.83) = 0.087[/tex]
We need to find [tex]P(X1 > 35[/tex] and [tex]X2 > 35[/tex] and [tex]X3 > 35[/tex] and [tex]X4 > 35[/tex]), where X1, X2, X3, and X4 are the mpg ratings of four randomly selected passenger cars.
Since the mpg ratings of the four cars are independent and identically distributed, we have:
[tex]P(X1 > 35[/tex]and[tex]X2 > 35[/tex] and [tex]X3 > 35[/tex] and [tex]X4 > 35[/tex]) =[tex]P(X > 35)^4[/tex]
From part (a), we know that[tex]P(X > 35) = 0.3665.[/tex]
[tex]P(X1 > 35[/tex]and [tex]X2 > 35[/tex] and[tex]X3 > 35[/tex] and [tex]X4 > 35) = 0.3665^4 \approx 0.015[/tex]
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electric utility poles in the form of right cylinders are made out of wood that costs $23.89 per cubic foot. calculate the cost of a utility pole with a diameter of 1.5 ft and a height of 30 ft. round your answer to the nearest cent.
The cost of the utility pole is approximately $1273.99 when rounded to the nearest cent.
To calculate the cost of the utility pole, we need to find its volume first. The formula for the volume of a cylinder is V = πr^2h, where r is the radius of the base of the cylinder and h is its height.
Here, the diameter of the utility pole is given as 1.5 ft. We need to find the radius, which is half of the diameter, so r = 0.75 ft. The height is given as 30 ft.
Using the formula, we get:
V = πr^2h = π(0.75 ft)^2(30 ft) = 53.36 ft^3
Now, we can calculate the cost of the utility pole by multiplying its volume by the cost of wood per cubic foot, which is $23.89 per cubic foot.
Cost = 53.36 ft^3 x $23.89/ft^3 ≈ $1273.99
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Solve for x to make A||B. A 8x + 22 B 9x + 6x = [ ? ] I already entered 8.9 and 9 as answers
Answer:
x = 16
Step-by-step explanation:
If A and B are parallel , then
9x + 6 and 8x + 22 are corresponding angles and are congruent, that is
9x + 6 = 8x + 22 ( subtract 8x from both sides )
x + 6 = 22 ( subtract 6 from both sides )
x = 16
for A and B to be parallel then x = 16
You can also change the scale on a scale drawing to make the representation larger. Draw Heathers garden using a scale of 1cm: 4m
The width of the garden is 12 cm and the length of the garden is 8cm.
To sketch Heather's garden at 1 cm: 4 m scale, we must first determine the dimensions of the new scale drawing. Because 1 centimeter on the new scale equals 4 meters in real world, we may apply the following proportion:
1 cm / 8 m = x cm / 4 m
8 x = 4
x = 4/8
x = 0.5 cm
As a result, each 0.5 cm on the new scale corresponds to 4 meters in real life. So, we divide the true length by 4 to get the garden's length on the new scale:
32 m / 4 = 8 cm
Divide the true width by 4 to get the garden's width on the new scale:
48 m / 4 = 12 cm
So, the width of the garden is 12 cm and the length of the garden is 8cm.
Therefore, we can now draw a rectangle 8 cm long and 12 cm broad on centimeter grid paper. Heather's garden is represented by this rectangle on the new scale of 1 cm: 4 m.
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The correct question:
Heather uses centimeter grid paper to draw a scale diagram of her garden. Her real garden is 32 meters by 48 meters and Heather uses a scale of 1 cm : 8 m. Heather needs a smaller scale drawing, so she changes the scale to 1 cm : 16 m. Now each centimeter represents 16 meters, not 8 meters. You can also change the scale on a scale drawing to make the representation larger. Draw Heather's garden using a scale of 1 cm : 4 m.
What is the relationship between educational achievement and home ownership? A random sample of 500 U.S. adults was selected. Each member of the sample was identified as a high school graduate (or not) and as a homeowner (or not). Define event G as being a high school graduate and event H as being a homeowner. The Venn diagram summarizes the data based on these two events. What’s the probability that a randomly selected person who owns a home is also a high school graduate?
image wasnt working so: venn diagram G=89, H=119, G and H=221, and 71 outside
The probability of a randomly selected person who owns a home also being a high school graduate is approximately 0.442 or 44.2%.
How to find the probabilityBased on the information provided, we know that there are:
A random sample of 500 U.S. adults was selected221 individuals who are both high school graduates and homeowners (the intersection of events G and H). a total of 119 individuals who are homeowners (event H).Therefore, the probability of a randomly selected person who owns a home also being a high school graduate is:
P(G|H) = P(G and H) / Total number = 221/500 ≈ 0.442
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A colored pencil is a wood hexagonal prism with a column of colored lead running through its center. The typical length of the usable lead is 19 centimeters, and the lead core has a diameter of 3 millimeters. A cross section of the pencil has an area of 89.25 square millimeters. What percentage of a colored pencil is wood?
Answer:
i guess 97 %
Step-by-step explanation: see fist of all
most colour pencils ARE made of wood so yeah sorry dont know im still in 6th
for iq tests with a mean of 100 and a standa for iq tests with a mean of 100 and a standard deviation of 15, a score of 73 would represent a classification of:
The classification for a score of 73 on an IQ test with a mean of 100 and standard deviation of 15 is "below average".
For intelligence level tests with a mean of 100 and a standard deviation of 15, a score of 73 would address a characterization of less than ideal knowledge.
To comprehend this order, it is vital to realize that level of intelligence scores are normalized, meaning they depend on a dispersion where the typical score is 100 and the standard deviation is 15. This dissemination is frequently alluded to as a typical circulation, with most of scores falling inside one standard deviation of the mean.
A score of 73 is one and a half standard deviations underneath the mean (100-15-15=70). This places it in the seventh percentile, meaning just 7% of the populace would score lower.
As indicated by most intelligence level grouping frameworks, a score of 73 would fall inside the scope of marginal scholarly working or low normal knowledge. It is essential to note, nonetheless, that intelligence level scores are only one proportion of knowledge and ought not be utilized in segregation to decide an individual's scholarly capacities.
In outline, a score of 73 on a level of intelligence test with a mean of 100 and a standard deviation of 15 would address sub optimal knowledge and fall inside the scope of marginal scholarly working or low normal insight.
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Please help!! URGENT!! I don’t understand
Answer: 14%
Step-by-step explanation:
Our formula is i=prt but we're trying to find the rate (r) so we'll rearrange it to become r=i/pt.
i = $245
p = $7000
t = 3/12= 0.25 years
[tex]r=\frac{245}{(7000)(0.25)} \\r = 0.14[/tex]
The question is on the screenshot as always!
Answer:
I want 2 use dis medium 2 thk y’all 4 being part of my 2022.
As a frnd I say a Big Thk u
As a customer I say a Big Thk u
As a partner I say a Big Thk u
As a family member I say a Big Thk u
As my god ordained helper I say a Big Thk u!
God bless u n see y’all in 2023 in Grand Style. Amen09165574045
a path in which you can only move to the right or up along edges of a grid (like the graph below) is called a monotonic lattice path. how many monotonic lattice path which do not pass above the diagonal are there for the graph below? (you can go through a vertex on the diagonal, but not above it.)
The total number of lattice points for the equation of the line y = -2x + 18 with given condition is equal to 10.
The equation of the line is y = -2x + 18.
To find the lattice points on this line,
find integer solutions for x and y that satisfy this equation.
Substituting y = -2x + 18 into the equation, we get,
-2x + 18 = y
We know that x and y are both non-negative integers,
so start by setting y = 0 and solving for x,
⇒-2x + 18 = 0
⇒-2x = -18
⇒x = 9
So one lattice point on the line is (9, 0).
Now ,substitute this value of x back into the equation to find the corresponding value of y,
y = -2(9) + 18
y = 0
So the lattice point is (9, 0).
Repeat this process by setting y = 1, 2, 3, and so on,
Until we find all the lattice points on the line.
For y = 1, we get,
⇒-2x + 18 = 1
⇒-2x = -17
⇒x = 8.5
But x must be a non-negative integer,
so there are no lattice points for y = 1.
For y = 2,
⇒-2x + 18 = 2
⇒-2x = -16
⇒x = 8
So the lattice point is (8, 2).
For y = 3,
⇒-2x + 18 = 3
⇒-2x = -15
⇒x = 7.5
Again, there are no lattice points for y = 3.
Continue this process until we have checked all possible values of y.
The lattice points on the line are,
(9, 0)
(8, 2)
(7, 4)
(6, 6)
(5, 8)
(4, 10)
(3, 12)
(2, 14)
(1, 16)
(0, 18)
Therefore, there are 10 lattice points on the line y = -2x + 18 that satisfy the conditions x ≥ 0 and y ≥ 0.
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The given question is incomplete, I answer the question in general according to my knowledge:
If x ≥ 0 and y ≥ 0 , how many lattice points does the line y = -2x + 18 pass through?
which data set is more centered around a high peak??
a. may
b. july
c. neither
d. both
The correct option a. may.The data shown in the may histogram is more centered around a high peak.
Explain about the histograms:A graph called a histogram is used to show the frequency distribution of a small number of data points for a single variable.
Histograms frequently divide data into different "bins" or "range groups" and count however many points are in each bin.The histogram illustration below shows test results for students. The scores of the student are divided into various ranges. Each bar's height indicates the number of students who received a score within that range.For the given two histograms,
May has the peak value for the frequency of day at 14.
July has the peak value for the frequency of day at 10.
Thus, The data shown in the may histogram is more centered around a high peak.
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Complete question-
which data set is more centered around a high peak??
a. may
b. july
c. neither
d. both
The diagram for the question is shown.
17. Kade has $40 in savings and wants to purchase a video game console that costs $250 plus
8.25% sales tax. Kade wants to wait until he has enough in savings to cover the purchase. If Kade
saves $50 each week, what is the minimum number of weeks Kade should wait before making his
purchase?
A. 3 weeks
B. 4 weeks
C. 5 weeks
D. 7 weeks
The minimum number of weeks Kade should wait before making his purchase is 5 weeks.
Given that, Kade has $40 as his saving, and he wants to buy a video game console that costs $250 plus 8.25% sales tax.
He saves $50 each week to buy the same, we need to find the number weeks in which he can buy the game,
Total cost of the game = 250 + 250 × 8.25%
= 250 + 250 × 0.0825
= 250 + 20.625
= 270.625
Hence, he needs to save = $270.625 - $40 = $230.625
Let the number of weeks be x,
∴ 50x = 230.625
x = 4.61 ≈ 5
Hence, the minimum number of weeks Kade should wait before making his purchase is 5 weeks.
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RIGHT ANSWER GETS BRAINLIEST AND 30 POINTS
Answer:
y=(4/5)x
Step-by-step explanation:
need urgent help pls
99 pts
Answer:
.22222 or [tex]\frac{2}{9}[/tex]
Step-by-step explanation:
[tex]2(\frac{1}{3^{2} })\\\\2(\frac{1}{9})\\\\= .22222 \\[/tex] or [tex]\frac{2}{9}[/tex]
Find the value of the missing angle. Round to the nearest degree.
1. 71 degrees
2. 19 degrees
3. 43 degrees
4. 90 degrees
Answer:
1. 71°
Step-by-step explanation:
SohCahToa
use sin
sin^-1(51/54)
=70.81186355
=71°
the probability that a student is a vegetarian is 0.21. you randomly select 12 students and ask each if they are vegetarians. find the probability that the number of students who say that they are vegetarians is exactly one. 0.1885 0.0591 0.9409 0.7524
the probability that exactly one student out of 12 says they are a vegetarian is 0.1885, which is option A.
To solve this problem, we need to use the binomial distribution formula:
[tex]P(X=k) = (^nc_k) * p^k * (1-p)^{n-k}[/tex]
where:
- X is the random variable representing the number of students who say they are vegetarians
- k is the number of students who say they are vegetarians (in this case, k=1)
- n is the total number of students selected (n=12)
- p is the probability that a student is a vegetarian (p=0.21)
- (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items and is calculated as: n! / (k! * (n-k)!)
Substituting the values given in the problem, we get:
[tex]P(X=1) = (12 choose 1) * 0.21^1 * (1-0.21)^{12-1}\\P(X=1) = 12 * 0.21 * 0.79^{11\\P(X=1) = 0.1885[/tex]
Therefore, the probability that exactly one student out of 12 says they are a vegetarian is 0.1885, which is option A.
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The probability that exactly one student out of 12 is a vegetarian is approximately 0.1885.
To find the probability that exactly one out of 12 randomly selected students is a vegetarian, given that the probability
of a student being a vegetarian is 0.21, you can use the binomial probability formula.
The binomial probability formula is:
[tex]P(x) = C(n, x) × p^x × (1-p)^(n-x)[/tex]
Where:
- P(x) is the probability of x successes (vegetarians) out of n trials (students)
- C(n, x) is the number of combinations of n items taken x at a time
- p is the probability of success (a student being a vegetarian, 0.21)
- n is the number of trials (12 students)
- x is the number of successes (1 vegetarian)
Using the formula, we get:
[tex]P(1) = C(12, 1) × 0.21^1 × (1-0.21)^(12-1)[/tex]
C(12, 1) = 12 (since there are 12 ways to choose 1 vegetarian out of 12 students)
[tex]P(1) = 12 × 0.21^1 × 0.79^11 ≈ 0.1885[/tex]
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5. Rebecca wanted to make bracelets. She bought 9 boxes of beads. Each box contained 40 beads. While carrying the boxes home, 23 beads fell out. How many beads does she have left to make the bracelets?
Answer:
337 beads left to make bracelets
Step-by-step explanation:
9×40-23=337
Answer:
its 337
Step-by-step explanation:
40x9=360 -23 =337
Jody's team scored 26, 25, 34, 28, and 32 points at the last five basketball games.
What does the mean number of points Jody's team scored represent?
Responses:
A mean of 29 means that the data values are relatively close together and Jody's team scored around 29 points each game.
A mean of 29 points means that the data is very spread out.
A mean of 29 points means that Jody's team scored exactly 29 points in each of the last 5 games.
Answer: A
Step-by-step explanation:
a man can hit his target 25% of the time if he fires 4 shots in succession what is the probability that he will hit his target
The probability that the man will hit his target at least once in 4 shots is calculated using the complementary probability of him missing all 4 shots. Since he hits his target 25% of the time, he misses it 75% of the time.
The probability of missing all 4 shots is (0.75)^4 = 0.3164.
Now, to find the probability of hitting the target at least once, subtract the probability of missing all shots from 1:
1 - 0.3164 = 0.6836 or 68.36%.
So, the probability that the man will hit his target at least once in 4 shots is approximately 68.36%.
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an actuary determines the following regarding an individual auto policyholder: the probability that the auto policyholder will file a medical claim is 0.30. the probability that the auto policyholder will file a property claim is 0.42. the probability that the auto policyholder will file a medical claim or a property claim is 0.60. calculate the probability that the auto policyholder will file exactly one type of claim, given that the policyholder will not file both types of claims
The probability that the auto policyholder will file exactly one type of claim is 0.40.
How to calculate the probability?To calculate the probability, let M be the event that the policyholder files a medical claim and P be the event that the policyholder files a property claim. We are given:
P(M) = 0.30
P(P) = 0.42
P(M or P) = 0.60
We want to calculate the probability that the policyholder files exactly one type of claim, given that the policyholder will not file both types of claims. This can be expressed as:
P(exactly one type of claim | not both types of claims) = P((M and not P) or (not M and P)) / P(not both types of claims)
We can use the fact that:
P(not both types of claims) = P(M or P) - P(M and P)
To calculate the numerator, we have:
P((M and not P) or (not M and P)) = P(M and not P) + P(not M and P)
We can use the fact that:
P(not P) = 1 - P(P)
To calculate:
P(M and not P) = P(M) - P(M and P)
Putting everything together, we get:
P(M and not P) = 0.30 - P(M and P) = 0.30 - (0.60 - 0.30) = 0.00
P(not M and P) = P(P) - P(M and P) = 0.42 - (0.60 - 0.30) = 0.12
P((M and not P) or (not M and P)) = 0.00 + 0.12 = 0.12
P(not both types of claims) = 0.60 - 0.30 = 0.30
Therefore:
P(exactly one type of claim | not both types of claims) = 0.12 / 0.30 = 0.40
So the probability that the auto policyholder will file exactly one type of claim, given that the policyholder will not file both types of claims, is 0.40.
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suppose that prior to conducting a coin-flipping experiment, we suspect that the coin is fair. how many times would we have to flip the coin in order to obtain a 98% confidence interval of width of at most .15 for the probability of flipping a head? (note that the z-score was rounded to three decimal places in the calculation) a) 241 b) 185 c) 238 d) 188 e) 247 f) none of the above
The minimum number of coin flips required to obtain a 98% confidence interval width of at most 0.15 is 188.
Hence option d is correct.
We'll use the formula for the confidence interval of a proportion, which is given by:
CI = p-hat ± (z * sqrt(p-hat * (1-p-hat) / n))
Here, p-hat represents the sample proportion (observed proportion of heads), z is the z-score for the desired confidence level (98% in this case), and n is the number of coin flips.
We want to find the minimum number of coin flips (n) needed to obtain a confidence interval width of at most 0.15. Since we suspect that the coin is fair, we'll assume p-hat = 0.5.
For a 98% confidence interval, the z-score (rounded to three decimal places) is 2.576.
Now, we'll set up the inequality:
0.15 >[tex]= 2 * (2.576 * \sqrt{(0.5 * (1-0.5) / n))}[/tex]
Squaring both sides and solving for n, we get:
n >= [tex]((2.576 * \sqrt{(0.25))^2) / (0.15/2)^2}[/tex]
n >= 188.423
Since the number of coin flips must be a whole number, we'll round up to the nearest integer, which is 188.
Hence option d is correct.
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what is the probability of obtaining exactly as many heads as you just obtained if your coin is the fair coin?0.14260.13570.24610.0321
The probability of obtaining exactly as many heads as you just obtained if your coin is the fair coin is 0.2461.
Option C is correct
The probability of obtaining exactly as many heads as you just obtained if your coin is the fair coin is given by the binomial probability formula:
P(X = k) = (n choose k) [tex]* p^k * (1-p)^(n-k)[/tex]
where X is the random variable representing the number of heads, n is the total number of coin flips, k is the number of heads obtained, and p is the probability of getting a head on any individual flip.
Since we are assuming that the coin is fair, p = 0.5. Let's say you flipped the coin n times and obtained k heads. Then the probability of obtaining exactly k heads with a fair coin is:
P(X = k) = (n choose k [tex]* 0.5^k * ()1-0.5)^(n-k)[/tex]
We don't know what n or k are, so we can't compute the exact probability. However, we can use the fact that the coin is fair to get an estimate. If we assume that the number of heads obtained is roughly half of the total number of flips, then k = n/2. Plugging this into the formula, we get:
[tex]P(X = n/2) = (n choose n/2) * 0.5^(n/2) * (1-0.5)^(n/2)[/tex]
Simplifying this expression, we get:
[tex]P(X = n/2) = (n choose n/2) * 0.5^n[/tex]
Now, we want to find the probability of obtaining exactly as many heads as we just obtained. Let's say we flipped the coin 10 times and obtained 5 heads. Then we want to find P(X = 5), which is:
P(X = 5) = (10 choose 5) [tex]* 0.5^5 * (1-0.5)^(10-5)[/tex] = 0.2461
Therefore, the probability of obtaining exactly as many heads as you just obtained if your coin is the fair coin is 0.2461.
Option C is correct
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state the most specific name of these quadrilateral...50 points
Answer:
parallelogram kite kite trapazoid
when sampling from a population with , which of the following sample means is more surprising? why? sample a: a random sample of 9 pell grant recipients with a mean award amount of $2750. sample b: a random sample of 36 pell grant recipients with a mean award amount of $2750.
Sample mean in sample b to be less variable and more representative of population mean than sample mean in sample a.
Standard error measures the variability of sample means around the population mean.
It decreases as sample size increases.
Using the formula for the standard error of the mean,
Calculate the standard errors for each sample,
Standard error of sample a
= s/√(n)
= 850/√(9)
= 283.33
Standard error of sample b
= s/√(n)
= 850/√(36)
= 141.67
Where s is the sample standard deviation
And n is the sample size.
The standard error of sample b is smaller than the standard error of sample a.
Sample mean in sample b is more likely to be closer to true population mean than sample mean in sample a.
Therefore, sample mean b is more surprising as larger sample size makes it more likely and accurately represents population mean.
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Complete this statement:
36x^3a +45xa^2 = 9xa( )
I’ll give you brainly if you answer it!
Answer:
[tex]36x^{3}a+45xa^{2}=9xa(4x^{2} +5a)[/tex]
Step-by-step explanation:
You can factor out both 9, x, and a, as all the terms can be divided by 9xa.
Hope this helped!
On Wednesday, it rained 2 1/2 inches. This was 3/4 of an inch more than how much it rained the week before. What was the rainfall amount the week before?
Therefore , the solution of the given problem of fraction comes out to be the previous week's rainfall total was 7/4 inches.
A fraction is what?Any combination of sections of the same size can be used to represent the whole. Quantity is described as "a portion" under a particular measurement in Standard English. 8, 3/4. Fractions are included in wholes. These act as the ratio divisor, which is a pair of integers in mathematical words. Here are a couple of examples showing how to change straightforward halves into entire numbers.
Here,
Let's refer to the amount of rain that fell the previous week as x inches.
The information provided indicates that it rained 2 1/2 inches on Wednesday, which is 3/4 of an inch more than the quantity that fell the previous week. This knowledge can be expressed as an equation:
=> 2 1/2 = x + 3/4
=> 2 1/2 - 3/4 = x
=> 2 1/2 = 5/2
=> 3/4 = 3/4
=> 5/2 - 3/4 = x
In this instance, 2 and 4 have a common denominator of 4, which is 4. So, using 4 as the common denominator, we can rewrite the fractions as follows:
=> 5/2 - 3/4 = x
=> (5/2) × (2/2) - 3/4 = x
=> 10/4 - 3/4 = x
=> 7/4 = x
Therefore, the previous week's rainfall total was 7/4 inches.
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