a simple random sample of size n=36 is obtained from a population that is skewed right with 76 and . (a) describe the sampling distribution of .
The sampling distribution of the sample mean can be described as approximately normal due to the central limit theorem, which states that as the sample size increases, the distribution of sample means becomes more normal regardless of the underlying population distribution.
In this scenario, we have a simple random sample of size 36 taken from a population that is skewed right with a mean of 76 and an unknown standard deviation
However, the skewness of the population may still have an impact on the shape of the sampling distribution. Specifically, if the skewness is severe, it may cause the sampling distribution to be skewed as well, even with a large sample size. Nonetheless, the mean of the sampling distribution will still be an unbiased estimate of the population mean.
Overall, the sampling distribution of the sample mean from this population is likely to be approximately normal, but the skewness of the population may cause the sampling distribution to be skewed as well.
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The government sees your egg apparatus and decides to use it as a model to create structures to protect food that is dropped over areas for disaster relief. if eggs are typically 2.5 ounces and there are 16 ounces in a pound and a bag of rice is 65 pounds, assuming the size of the rice apparatus is directly proportional to the egg apparatus, how much bigger does the rice apparatus need to be?
We are given that an egg weighs 2.5 ounces and that there are 16 ounces in a pound. We also know that the rice apparatus is directly proportional to the egg apparatus. The rice apparatus needs to be the same weight and size as the egg apparatus.
To find out how much bigger the rice apparatus needs to be, we need to determine the weight of the rice apparatus. First, we calculate the weight of the bag of rice by multiplying the weight of a pound (16 ounces) by the number of pounds (65 pounds). This gives us 1040 ounces (16 * 65).
Next, we need to determine the ratio between the egg apparatus and the rice apparatus. Since they are directly proportional, we can set up a proportion using their weights:
(egg weight) / (rice weight) = (egg size) / (rice size)
Substituting the values we have, we get:
2.5 / (rice weight) = 2.5 / (1040)
Now, we can solve for the weight of the rice apparatus:
(rice weight) = (2.5 * 1040) / 2.5
Simplifying, we find:
(rice weight) = 1040
Therefore, the weight of the rice apparatus needs to be the same as the weight of the bag of rice, which is 1040 ounces.
In terms of size, since the weight of the rice apparatus is directly proportional to the egg apparatus, we can conclude that the rice apparatus needs to be the same size as the egg apparatus.
In summary, the rice apparatus needs to be the same weight and size as the egg apparatus.
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#3 The question says the sun of two consecutive integers is 345. What are the integers?
#5 The sum of two consecutive even integers is 446. What are the two.integers?
Need help please
Step-by-step explanation:
#3 let the two consecutive integers be a, a+1.
a+a+1=345
2a+1=345
2a=345-1
2a=344
a=344/2=172...
the integers are 172, 173
#5 let the consecutive even integers be a, a+2
a+a+2=446
2a=446-2
2a=444
a=444/2=222..so the even integers are 222, 224
help
Exercise 5 Find the angle between the following vectors a=51-8j+2k and b = -1 +5j-3k. Confirm in GeoGebra. Exercise 6 Find proj, v for =(-3,7,1) and = (0,6,8), then visualize/confirm in GeoGebra.
In Exercise 5, we are asked to find the angle between two given vectors, a and b. In Exercise 6, we need to find the projection of one vector onto another and visualize it using GeoGebra.
Exercise 5:
To find the angle between vectors a and b, we can use the dot product formula and the magnitude formula. The angle θ can be calculated as follows: θ = arccos((a · b) / (|a| |b|))
Exercise 6:
To find the projection of vector v onto vector u, we can use the projection formula. The projection of v onto u is given by:
proj_u v = (v · u) / (|u|²) * u
Both exercises involve vector calculations using dot products, magnitudes, and projections.
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If a=2, b=-1 and c= 1, then find the value of:
A- a+b-c²
B- a³-b+c
C- a-b-c
A- a+b-c²
=2+(-1-1)^2
=1-1
=0
B-a³-b+c
2^3-(-1+1)
=8+1+1
= 10
C-a-b-c
2-(-1-1)
=2+1-1
=2
the sides and classification of a triangle are given below. the length of the longest side is the integer given. what value(s) of x make the triangle?
To determine the possible values of x that make the triangle with sides x, x, and 6 an acute triangle, we need to consider the triangle inequality theorem.
According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, the longest side is given as 6. Therefore, the sum of the lengths of the other two sides (both x) must be greater than 6.
Mathematically, we can express this as:
2x > 6
Dividing both sides of the inequality by 2, we have:
x > 3
So, any value of x greater than 3 will make the triangle valid.
In interval notation, the solution would be x ∈ (3, ∞) or x > 3.
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Find the equation of the line that passes through (-1,2) and is perpendicular to y =2x+1 . Leave your answer in the form y = m x + c
2.) the acosta family went out to dinner. the price of the meal was $79.85. if the tip was 15%. how much money did the acosta family pay for the meal, including tip
the acosta family went out to dinner. the price of the meal was $79.85. if the tip was 15%.The Acosta family paid $91.83 for the meal, including the 15% tip.
To calculate the total amount paid, we need to add the original price of the meal to the tip amount. The price of the meal was $79.85, and the tip was 15% of that amount. To find the tip, we multiply $79.85 by 0.15 (or 15% expressed as a decimal), which equals $11.98. Adding the tip of $11.98 to the original price, the total amount paid is $91.83.
In more detail, a 15% tip means that 15% of the meal price is added as an extra amount to the bill. To calculate the tip, we multiply the meal price ($79.85) by 0.15 (or 15% as a decimal), resulting in $11.98. This represents the additional amount the Acosta family paid for the tip. To find the total amount paid, we add the tip amount to the original meal price: $79.85 + $11.98 = $91.83. Therefore, the Acosta family paid $91.83 for the meal, including the tip.
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Simplify each expression. Use only positive exponents. (3 x⁻⁴ y³)²
The simplified value of the expression using only positive exponents is 9y⁶/x⁸
How to simplify the expression using only positive exponents?The expression is given as
(3 x⁻⁴ y³)²
Apply the law of indices to expand the bracket
So, we have
(3 x⁻⁴ y³)² = 3² * x⁻⁴*² y³*²
Evaluate the products of exponents
So, we have
(3 x⁻⁴ y³)² = 3² * x⁻⁸ y⁶
Evaluate the exponents
So, we have
(3 x⁻⁴ y³)² = 9 * x⁻⁸ y⁶
Apply the law of indices to rewrite negative exponent
So, we have
(3 x⁻⁴ y³)² = 9y⁶/x⁸
Hence, the simplified value of the expression using only positive exponents is 9y⁶/x⁸
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Ashley sells 18.6 kg bags of mixed nuts that contain 60% peanuts. To make her product she adds peanuts to Brand A's mixed nuts which contain 20% peanuts. How much of each does she combine?
Answer:
She combines 9.3 kg of each.
Step-by-step explanation:
Let x = amount of brand A in kg
Let y = amount of peanuts in kg
First we deal with the amount of each product she uses.
"Ashley sells 18.6 kg bags of mixed nuts that contain 60% peanuts."
x + y = 18.6
Now we deal with just the amount of peanuts.
"To make her product she adds peanuts to Brand A's mixed nuts which contain 20% peanuts."
Brand A contains 20% peanuts, so x kg of brand A contains 0.2x kg of peanuts.
The peanuts she adds are pure peanuts, so all of y is peanuts.
The result is 18.6 kg of a mixture that is 60% peanuts, so the amount of peanuts in the bags she sells is 0.6 * 18.6 kg.
0.2x + y = 0.6 * 18.6
0.2x + y = 11.16
We have a system of equations:
x + y = 18.6
0.2x + y = 11.16
We have y in both equations, so let's subtract the second equation from the first equation to eliminate y.
0.8x = 7.44
Divide both sides by 0.8
x = 9.3
Plug in 9.3 for x in the first equation of the system and solve for y.
x + y = 18.6
9.3 + y = 18.6
y = 9.3
Answer: She combines 9.3 kg of each.
solve the given differential equation by separation of variables. dy dx = xy 4y − x − 4 xy − 9y x − 9
Given the differential equation dy/dx = xy/(4y-x) - 4xy/(9y-x).
We need to solve the above differential equation by separation of variables.
By the method of separation of variables, we need to separate the variables x and y and arrange the terms with respect to these variables in the following manner:
dy/y = [x/(4y-x) - 4x/(9y-x)]dx
Integrating both sides with respect to their respective variables, we get:
∫dy/y = ∫[x/(4y-x) - 4x/(9y-x)]dx
On integrating and simplifying, we get:
ln|y| = 1/4ln|(4y-x)/x| + 4/9ln|(9y-x)/x| + c
where c is a constant of integration.
Rewriting the above equation, we get:
|y| = C|x^(1/4)(4y-x)^(1/4)(9y-x)^(4/9)|
where C is the constant of integration.
Putting the value of y = 0 in the above equation, we get:
0 = C*0
which implies that C = 0
Thus, the solution of the given differential equation is |y| = 0 which implies y = 0 or |(4y-x)(9y-x)|^(4/9) = x^(1/4).
Therefore, the solution of the given differential equation is y = 0 or (4y-x)(9y-x) = kx^(9/4) where k is a constant.
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which compound inequality and graph match the given simple inqualities
Answer
Explanation
• x < 2, ,means all values less than 2.
,• x ≥ -8, ,means all values bigger than or equal to -8.
Then, the compound inequality is the values between -8 and 2:
\(-8≤x≤2\)Additionally, the -8 is included while the 2 is not. Thus, the -8 has to have a full dot in the value while the 2 has to have an empty dot.
Kimoni wants to purchase a pair of shoes that are on sale for 10% off the regular price
of $64.00. Which is the sale price of the shoes?
Answer:
the price of the pair of shoes are $57.60
Step-by-step explanation:
So you first need to find out what 10% is in $64 so your going to multiply 0.1 (10% in decimal form is 0.1 ) by 64 to get 10% of the original price.
64 * 0.1 = $6.40
so now we are going to subtract $6.40 from $64 for the sale price:
$64.00 - $6.40 = $57.60
so the sale price is $57.60
4. Name the quadrant in which point (4,1) is located.a. IIb. Ic. IIId. IV
A Coordinate plane has two perpendicular number lines. The vertical line is the y-axis and the horizontal line is the x-axis. The point of intersection between this line is called "Origin" and it's at the point (0,0).
There are four sections in a Coordinate plane which are called "Quadrants". See the drawing below to see their location in the Coordinate plane:
Having the point:
\((4,1)\)You can notice that, the x-coordinate is positive and the y-coordinate is also positive. This means that the point (4,1) is located in the QUADRANT I.
Therefore, the answer is: b. I
a scatterplot is the best visualization for showing which of the following (choose one or more)? indirect or negative relationship between two ratio variables the relationship between two interval/ratio variables correlation frequency of two nominal variables
Scatterplots are best for showing the relationship between two interval/ratio variables and indirect or negative relationship between two ratio variables.
Scatterplots are best for showing:
⇒the relationship between two interval/ratio variables
⇒indirect or negative relationship between two ratio variables
Scatterplots display points on a coordinate plane, with one variable plotted on the x-axis and the other variable plotted on the y-axis. This allows us to see the pattern of relationship between the two variables. If there is a positive or negative relationship, we can see if the points tend to increase or decrease as we move from left to right or from bottom to top. If the relationship is indirect, we can see if the points tend to curve in one direction or another.
Scatterplots are not the best visualisation for showing: correlation
frequency of two nominal variables
For showing correlation, a line of best fit (regression line) can be added to a scatterplot, but other visualizations such as a correlation matrix or a heat map are more commonly used.
For showing frequency of two nominal variables, a two-way table or a mosaic plot are better suited, as they can display the count or proportion of cases for each combination of the two nominal variables.
Therefore, Scatterplots are best for showing the relationship between two interval/ratio variables and indirect or negative relationship between two ratio variables.
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Scatterplots are best for showing:
⇒the relationship between two interval/ratio variables
⇒indirect or negative relationship between two ratio variables
Scatterplots display points on a coordinate plane, with one variable plotted on the x-axis and the other variable plotted on the y-axis. This allows us to see the pattern of relationship between the two variables. If there is a positive or negative relationship, we can see if the points tend to increase or decrease as we move from left to right or from bottom to top. If the relationship is indirect, we can see if the points tend to curve in one direction or another.
Scatterplots are not the best visualisation for showing: correlation
frequency of two nominal variables
For showing correlation, a line of best fit (regression line) can be added to a scatterplot, but other visualizations such as a correlation matrix or a heat map are more commonly used.
For showing frequency of two nominal variables, a two-way table or a mosaic plot are better suited, as they can display the count or proportion of cases for each combination of the two nominal variables.
Therefore, Scatterplots are best for showing the relationship between two interval/ratio variables and indirect or negative relationship between two ratio variables.
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Complete the pattern in the multiplication table
pls answer quickly
This Histogram shows the heights in inches of members of a middle school volleyball team.
How many members are between 50 and 70 inches tall?
A. 12
B. 10
C. 6
D. 4
Answer:
B. 10
Step-by-step explanation:
Look at the chart.
Find how many members are 50-60 inches tall. (6)
Find how many members are 61-70 inches tall. (4)
Add each member count up. (10)
How to find number of combinations.
Answer: Remember, the formula to calculate combinations is nCr = n! / r! * (n - r)!, where n represents the number of items, and r represents the number of items being chosen at a time.
Step-by-step explanation:
for all integers m, m2 = 5k, or m2 = 5k 1, or m2 = 5k 4 for some integer k.
For any integer m, m² is always congruent to either 0, 1, or 4 modulo 5. Therefore, m² is always of the form 5k, 5k+1, or 5k+4 for some integer k.
The statement is true, and it is known as the Law of Quadratic Reciprocity.
For any integer m, m² is always congruent to either 0, 1, or 4 modulo 5.
That is, m² is always of the form 5k, 5k+1, or 5k+4 for some integer k.
This can be proven using the fact that every integer can be written in one of the forms 5k, 5k+1, 5k+2, 5k+3, or 5k+4 for some integer k.
Squaring each of these forms modulo 5 yields:
(5k)² = 25k² ≡ 0 (mod 5)
(5k+1)² = 25k² + 10k + 1 ≡ 1 (mod 5)
(5k+2)² = 25k² + 20k + 4 ≡ 4 (mod 5)
(5k+3)² = 25k² + 30k + 9 ≡ 4 (mod 5)
(5k+4)² = 25k² + 40k + 16 ≡ 1 (mod 5)
m² is always 0, 1, or 4 modulo 5. So, m² is always of the form 5k, 5k+1, or 5k+4.
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(22) If x² = 225, then x =
(24) If x= 343, then x =
Answer:
Hi there!
Your answers are:
22) x= 15
24) **REFER BELOW**
Step-by-step explanation:
22)
x^2 = 225
Find the square root of both sides!
√x^2 = x
√225 = 15
x= 15
24)
X= 343
If unaltered x is equal to 343, then x itself is equal to 343
PLEASE READ BELOW IF YOU MADE A TYPO FOR PROBLEM #24. IF NOT, REFER TO ABOVE SOLUTION.If you accidentally made a typo and meant to say x^2 = 343;
x^2 = 343
find the square root of both sides!
√x^2 = x
√ 343 = 7√7 or roughly 18.52
Hope this helps!
what is 8.613 rounded to the nearest cent? Will mark brainliest!
Answer:
The answer is 8.61
Step-by-step explanation:
Try it and see, pls now mark me brainliest
What does “m” stand for in the slope formula?
Answer:
Slope = m
Step-by-step explanation:
None
A shoemaker sold a pair of for $245.99 if the buyer a $300.00 bill, how much will the buyer receive in change?
*two decimal places don't forget your $ sign. Example: $50.00 NOT 50*
Answer:
$54.01
Step-by-step explanation:
All you have to do is $300.00-$245.99 .
Determine the value of k that will make the given lines perpendicular: (x, y) = (3,-2) + s(1,4); s E R and 12x + ky = 0.
The value of k that will make the given lines perpendicular: (x, y) = (3,-2) + s(1,4); s E R and 12x + ky = 0 is -48.
To determine the value of k that will make the given lines perpendicular, we need to find the slopes of the two lines and set them equal to the negative reciprocal of each other.
The equation of the first line is given by:
(x, y) = (3, -2) + s(1, 4)
The direction vector of this line is (1, 4), so the slope of the line is 4.
The equation of the second line is given by:
12x + ky = 0
To find the slope of this line, we can rewrite the equation in slope-intercept form (y = mx + b):
ky = -12x
y = (-12/k)x
Comparing this equation to y = mx + b, we can see that the slope is -12/k.
For the lines to be perpendicular, the slopes must be negative reciprocals of each other. Therefore, we have the equation:
4 × (-12/k) = -1
Simplifying the equation:
-48/k = -1
Cross-multiplying:
48 = -k
Dividing both sides by -1:
k = -48
Therefore, the value of k that will make the given lines perpendicular is -48.
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there are no 43 people in the cafeteria what is the inequality
Answer:
Step-by-step explanation:
if you have the option, you can say
# of people ≠ 43
HII SOMEONE HELPPP PLEASE ‼️‼️‼️
Answer:
Step-by-step explanation:
Fame age be x and sister's age = y
Five years ago:
Fame's age = x - 5
His sister's age = y -5
\(x -5 =\dfrac{1}{6}*(y-5)\\\\\)
Multiply the entire equation by 6
\(6*(x-5)=6*\dfrac{1}{6}(y-5)\\\)
6x- 6*5 = y-5
6x - 30 = y - 5
6x -30 + 5 = y
y = 6x - 25--------------(I)
Three year after:
Fame's age = x + 3
His sister's age = y + 3
2*(x +3) = y + 3
2x + 6 = y + 3
2x + 6 -3 = y
y = 2x + 3 -------------(II)
Substitute y = 6x - 25 in equation (II)
6x - 25 = 2x + 3
Add 25 to both sides
6x = 2x + 3 + 25
6x = 2x + 28
Subtract 2x from both sides
6x - 2x = 28
4x = 28
Divide both sides by 4
x = 28/4
x = 7
Substitute x = 7 in equation (I)
y =6x - 25
y = 6*7 - 25
= 42 - 25
y = 17
Fame's age = 7 years
His sister's age = 17 years
4) Let the distance between X and Y be D
Time take by Wie = distance÷ speed
\(= \dfrac{D}{75}\)
Time taken by Wary = distance ÷ speed
\(=\dfrac{D}{80}\)
Time difference = 10 minutes.
As Wary drives in high speed that Wie, he takes less time
\(\dfrac{D}{75}-\dfrac{D}{80}= \dfrac{10}{60}\\\\\)
LcM = 1200
\(\dfrac{16D}{75*16}-\dfrac{15D}{85*15}=\dfrac{1}{6}\\\\\\\dfrac{16D-15D}{1200}=\dfrac{1}{6}\\\\\\\dfrac{D}{1200}=\dfrac{1}{6}\\\\\\D=\dfrac{1}{6}*1200\\\\\\\)
D = 200 Km
17 POINTS! I will also give Brainliest!
Find the perimeter of the coordinates below:
Figure PQRST is shown. P is at negative 2, 11. Q is at negative 4, 5. R is at 2, 0. S is at 1, 7. T is at 8, 7.
37 units
38 units
39 units
40 units
Answer:
c 39
Step-by-step explanation:
Parameter is the sum of the lengths of all sides of a polygon. The sides of the polygon are PT, TS, SR, RQ, and QP. To get the length of a side, we use the distance formula: Each vertex in the polygon has its corresponding points:\
So to get the length of side PT, we use the distance formula and the vertices of side PT:
The length of PT is
The same procedure is done for the other 4 sides and the following are the answers:
And by adding all the sides, you get the perimeter:
By rounding off, the answer is 39 units.
have a nice day
someone help me please I'm so desperate
Antonio will use 10 large 3/4-foot by 3/4-foot white tiles to cover the white part of the wall. Each of the blue squares shown will be tiled using numerous smaller 3-inch by 3-inch blue tiles to cover the blue part of the wall. How many of the smaller blue tiles will Antonio need to cover the 14 blue squares on the kitchen wall?
Answer:
126 tiles
Step-by-step explanation:
The while tiles are 3/4 of a foot (or 9 inches) x 9 in, so their area is 81 sq in. There are 14 blue tiles, so 14 x 81 = 1134 sq inches that need to be covered.
Each tiles is 3 x 3, so its area is 9 sq in. 1134 / 9 = 126 tiles
a certain type of flashlight requires two type-d batteries, and the flashlight will work only if both its batteries have acceptable voltages. suppose that 80% of all batteries from a certain supplier have acceptable voltages. among ten randomly selected flashlights, what is the probability that at least nine will work? (round your answer to three decimal places.)
The probability that at least nine of ten randomly selected flashlights will work, given that 80% of all batteries have acceptable voltages, is 0.2684.
This problem can be solved using the binomial distribution.
Let X be the number of flashlights out of 10 that will work. Then X is a binomial random variable with n = 10 and p = 0.8.
We want to find P(X ≥ 9). Using the binomial probability formula, we can compute
P(X ≥ 9) = P(X = 9) + P(X = 10)
= (10 choose 9)(0.8)^9(0.2)^1 + (10 choose 10)(0.8)^10(0.2)^0
= 0.2684
Therefore, the probability that at least nine out of ten flashlights will work is 0.2684 (rounded to three decimal places).
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Help me with this question plz
Answer:
3x + 75° = 90° , x = 5
Step-by-step explanation:
As we can see it is a right angled triangle so
3x + 75° + 90° = 180° ( being sum of angles of triangle)
we can write even
3x + 75° = 90° , x = 5