A population has a standard deviation of 10 and a mean of 75.
The sample mean has a standard deviation of 5 and an expectation of 100.The empirical rule states that there is a 68% probability of being between 95 and 105 (within one standard deviation of its expected value) if it is approximately normal.
What is meant by a standard deviation?
A measure of how dispersed the data are in relation to the mean is called the standard deviation (or ).Data with a low standard deviation are grouped around the mean, while data with a high standard deviation are more dispersed.
How can I determine the standard deviation?
Step 1: Locate the mean. Step 2: Find the square of the distance from the mean for each data point. Step 3: Sum the results of Step 2's values. Step 4: Divide by how many data points there are.
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Given m/PSR = 134, find m/SQR.
The measure of the angle SQR is 68 degrees if m/PSR = 134 and Angle QPS = Angle PSQ = Angle SQP = 60 degrees.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
It is given that:
m/PSR = 134,
PQ = QS = PS
Angle QPS = Angle PSQ = Angle SQP = 60 degrees
Angle QSR = QRS
Angle SQR = 180 - (180 - 134)x2
= 180 - 112
= 68 degrees
Thus, the measure of the angle SQR is 68 degrees if m/PSR = 134 and Angle QPS = Angle PSQ = Angle SQP = 60 degrees.
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Solve for x in the equation x + 9 = −25. −34 −16 25 34 NEED HELP ASAAAAAAAPPPP
you want to estimate the proportion of students at your university in favor of a longer spring break. changing the confidence level from 95% to 90% will decrease the needed sample size if the margin of error . please choose the correct answer from the following choices, and then select the submit answer button. answer choices
The needed sample size Smaller if the margin of error .
Given,
In the question:
This question in the form of: Fill in the blanks.
So, You want to estimate the proportion of students at your university in favor of a longer spring break. changing the confidence level from 95% to 90% will decrease the needed sample size_____ if the margin of error.
Hence, The answer is smaller the margin of error.
Let's Know:
What is Confidence level?
The confidence level is the percentage of times you expect to get close to the same estimate if you run your experiment again or resample the population in the same way. The confidence interval consists of the upper and lower bounds of the estimate you expect to find at a given level of confidence.
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Write the first 4 terms of the sequence defined by the given rule.
4. f(n) = n³-1
The first four terms of the sequence defined by the rule f(n) = n³-1 are -1, 0, 7 and 26.
According to the question,
We have the following expression:
f(n) = n³-1
Now, in order to find the first four values of the given expression, we will change the values of n from 0 to 3.
So, putting the value of n as 0, we have:
f(0) = 0³-1
0-1 = -1
Now, putting the value of n as 1, we have:
1³-1
1-1
0
Now, putting the value of n as 2, we have:
2³-1
8-1
7
Now, putting the value of n as 3, we have:
3³-1
27-1
26
Hence, the first four terms of the sequence defined by the rule f(n) = n³-1 are -1, 0, 7 and 26.
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A rectangular-shaped object has a mass of 120 grams. It is 5cm long, 2cm wide, and 3cm high. Solve the following:
V-
Hint: Make sure to use your units in your answer!!!
D-
Blank 1:
Blank 2:
Answers:
V = 30 cubic cm
D = 4 grams per cubic cm
=========================================================
Explanation:
The volume of a rectangular solid (aka block or brick) is equal to its length times width times height
V = length*width*height
V = 5*2*3
V = 10*3
V = 30 cubic cm
-------------
You haven't mentioned it, but the "D" probably refers to the density. This is a measure how much stuff occupies a certain volume of space. The higher the density, the more stuff in that space. Think of it like cramming more packing peanuts in a box.
To find the density, we divide the mass over the volume
density = mass/volume
density = (120 grams)/(30 cubic cm)
density = 4 grams per cubic cm
In each cubic centimeter of space, there are 4 grams of mass.
Please help me please
Answer:
16.53
Step-by-step explanation:
Start by finding the length of the line in the center. I will call this line a. Using the Pythagorean Theorem with 12.3 as the hypotenuse:
[tex]c^2=a^2+b^2\\a=\sqrt{c^2-b^2} \\a=\sqrt{12.3^2-5.4^2} \\a=\sqrt{122.13} \\a=11.05[/tex]
Now that this line is known, x can be found. Once again using the Pythagorean Theorem:
[tex]x^2=a^2+b^2\\x=\sqrt{a^2+b^2} \\x=\sqrt{12.3^2+11.05^2} \\x=\sqrt{273.39} \\x=16.53[/tex]
A helicopter hovers 60 m above the ocean's surface. A submarine is resting 30 m
underwater, directly below the helicopter. What is the difference between the positions of these two objects?
Answer:
90 m
Step-by-step explanation:
because the helicopter is 60 m up and the submarine is 30 m under so combining the two helps us identify the difference between the two objects
in 4 and 5, find each sum. Use fraction
to help.
4. 1/2 + 2/5 = 9/10 + =
decrease 150 by 55 %
Answer:
Step-by-step explanation:
First calculate 55% of 150:
= 150 x 55/100
= 82.5 ans
Now decrease it from 150:
= 150-82.5
= 67.5 ans Hope it helps!!
A bowling alley and a skating rink both offer birthday party rentals. The bowling alley costs $5 per person plus a $15 room rental fee. The skating rink costs $3 per person plus a $20 room rental fee. You have $50. If you want to invite as many people as possible, which location should you choose?
Follow the steps to decide on the party location.
1. Write an expression for the amount you would spend on a birthday party at the bowling alley. Let x represent the number of people you invite. (2 points)
2. Write an expression for the amount you would spend on a birthday party at the skating rink. (2 points)
3. How many people could you invite to the bowling alley? Show how you found your answer. (2 points)
4. How many people could you invite to the skating rink? Show your work. (2 points)
5. To which location could you afford to invite more people? (2 points)
Answer:
I'll try my best B r u h ....
Step-by-step explanation:
Bowling:
15+5x where x is the number of people
Skating:
20+3x
We have 50 dollars so the amount must be less than or equal to 50
Bowling
15+5x≤50
Subtract 15 from each side
15-15+5x≤50-15
5x ≤35
Divide each side by 5
5x/5 ≤35/5
x ≤7
She can have 7 or less people
Skating
We have 50 dollars so the amount must be less than or equal to 50
20+3x ≤50
Subtract 20 from each side
20-20+3x ≤50-20
3x ≤30
Divide each side by 3
3x/3 ≤30/3
x ≤10
She can have up to 10 people
She can invite more people skating
Hope this helped.
999The heat in the house is set to keep the minimum and maximum temperatures (in degrees fahrenheit) according to the equation |x – 72. 5| = 4. What are the minimum and maximum temperatures in the house? 72. 5°f and 76. 5°f 68. 5°f and 76. 5°f 70. 5°f and 74. 5°f 72. 5°f and 74. 5°f.
The indoor temperature ranges between 68.5 and 76.5 degrees Fahrenheit.
Given data;
According to the equation |x - 72. 5| = 4, the home's heating system is configured to maintain the minimum and maximum temperatures (in degrees Fahrenheit).
To find the minimum and maximum temperatures in the house,
We know that modulus is used to make a negative value into a positive;
|x - 72. 5| = 4
|A| = -A < x < A
|x - 72. 5| = 4
⇒ x - 72.5 = -4 x - 72.5 = +4
x = 72.5 - 4 x = 4 + 72.5
x = 68.5 x = 76.5
Hence, the minimum and maximum temperatures in the house are 68.5 and 76.5 Fahrenheit.
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Help me with this question
Point A, C and F lies on the given line y = [tex](\frac{1}{4} )^{x}[/tex] .
Given in question,
y = [tex](\frac{1}{4} )^{x}[/tex]
y = [tex]4^{-x}[/tex]
Points A(-2,16), B(2,8), C(-1,4), D(0,4), E(1,4), F(0,1) and G(-2,0)
We will points in the equation.
For point A(-2,16)
[tex]16 = 4^{-(-2)}[/tex]
[tex]= 4^{2}[/tex]
[tex]16=16[/tex] True
For point B(2,8)
[tex]8= 4^{-2}[/tex]
[tex]=\frac{1}{4^{2} }[/tex]
[tex]=\frac{1}{16}[/tex]
[tex]8=\frac{1}{16}[/tex] False
For point C(-1,4)
[tex]4=4^{-(-1)}[/tex]
[tex]=4^{1}[/tex]
[tex]4=4[/tex] True
For point D(0,4)
[tex]4=4^{-0}[/tex]
[tex]4= 1[/tex] False
For point E(1,4)
[tex]4=4^{-1}[/tex]
[tex]4=\frac{1}{4}[/tex] False
For point F(0,1)
[tex]1=4^{-0}[/tex]
[tex]1=1[/tex] True
For point G(-2,0)
[tex]0=4^{-(-2)}[/tex]
[tex]= 4^{2}[/tex]
[tex]0=16[/tex] False
Hence, only point A,C and F satisfies the equation.
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Here is an equation: 4y - 6x = 12
Is (-4, -3) a solution? Is (0, 3) a solution?
If the equation is 4y - 6x = 12, then (-4, -3) and (0, 3) are the solutions of the equation
The equation is given that
4y - 6x = 12
The first solution =(-4, -3)
The value of x = -4
The value of y = -3
Substitute the values in the equation
4(-3) - 6(-4) = 12
-12 - (-24) = 12
-12 + 24 = 12
12 = 12
Therefore (-4, -3) is the solution of the equation
Next solution is (0, 3)
The value of x = 0
The value of y = 3
Substitute the values in the equation
4(3) - 6(0) = 12
12 - 0 = 12
12 = 12
Therefore (0, 3) is the solution of the equation
Hence, if the equation is 4y - 6x = 12, then (-4, -3) and (0, 3) are the solutions of the equation
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the eigenvectors of the covariance matrix show the direction in which the data has the highest correlation. true or false
It is true that the eigenvectors of the covariance matrix are equal to the principal components. Concretely, the first principal component (i.e. the largest eigenvector and associated largest eigenvalue) gives you the direction of the maximum variability in your data
The covariance matrix's eigenvectors are identical to its major components, which is a well-known fact. In more concrete terms, the direction of the most variability in your data is provided by the first principal component, which is represented by the largest eigenvector and related largest eigenvalue. After that, each primary component provides you decreasingly variable output. The fact that each primary component is orthogonal to the others is also important to note.
The above picture was taken from the Principal Component Analysis article on Wikipedia, which I previously referred to. This is a scatter plot of samples having a bivariate Gaussian distribution with a center at (1,3), a standard deviation of 3 roughly in the (0.878, 0.478) direction, and a standard deviation of 1 roughly in the orthogonal direction. The first principal component is the one with a standard deviation of 3, and the second is the orthogonal component. The shown vectors are the eigenvectors of the covariance matrix scaled by the relevant eigenvalue's square root and moved to place their tails at the mean.
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A _____________ t-test evaluates data from dependent samples in which the two treatments are applied to the same individual.
A Paired t-test evaluates data from dependent samples in which the two
treatments are applied to the same individual.
T-test is a statistical statistics mainly use when population variance is
unknown and sample size is small.
In Paired t-test , we compare means of two dependent samples. It gives
hypothesis examination on difference between of mean.
It uses same items or people in both sample that's why they are also known as dependent t-test or Paired t-test also increases the statistical power of our analysis.
Formula of paired t-test :
t = m / S / n
with (n-1) degree
where , m --> mean difference
S ---> standard deviation difference
n --> sample size
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pls help urgent!
Solve for the roots in simplest form using the quadratic formula:
x²-16x = -100
Answer:
x has no real solution/roots
Step-by-step explanation:
please see the attached image:
write the equation using function notation
x - y = -4
A) f(x) = x - 4
B) f(x) = x + 4
C) f(x) = -x + 4
D) f(x) = -x - 4
Answer:
B
Step-by-step explanation:
[tex]x-y=-4 \\ \\ x-f(x)=-4 \\ \\ f(x)-x=4 \\ \\ f(x)=x+4[/tex]
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=530(1.04)x
The given exponential function will grow at rate of 4%
Given, the following exponential function,
y = 530(1.04)ˣ
we are asked to identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
we have:
y = 530(1.04)ˣ
The equation represents exponential growth because the growth factor is greater than 1.
The general form equation is:
y(x) = a(1-r)ˣ
⇒ 1+r = 1.04
⇒ r = 0.04
⇒ r = 4%
Hence the given exponential function will grow at 4%.
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I need help with this
Find the sum.
10+30+50+...+(20n-10)
Answer:
10
Step-by-step explanation:
tbh i am confused
please if you see this, i am really trying my best and you guys gave me the hardest question i ever had. sincerely apologize
Please do the one you are able to do anything is helpful!
Answer:
9. train a = 8.33 hours
train b = 5 hours
time of coincidence = 3.33 hours
Step-by-step explanation:
I'm not sure about this but I think it's correct.
Yolanda got a prepaid debit card with$20 on it. For her firt purchae with the card, he bought ome bulk ribbon at a craft tore. The price of the ribbon wa 16 cent per yard. If after that purchae there wa $12.32 left on the card, how many yard of ribbon did Yolanda buy?
Answer:
Yolanda bought 48 yards of ribbon, and spent 7.68 cents on it.
Step-by-step explanation:
First Step: Find out how much Yolanda spent
20.00 -12.32 = 7.68
Second Step: Divide Total Cost by Price of one Yard
7.68/0.16 = 48
Third Step: Double Check
48 x 0.16 = 7.68
I hope my answer helped you, good luck on your homework!
what is they intercept of this quadratic function? f(x) = -x2 + 10x - 22
Answer:
(0,-22)
Step-by-step explanation:
Plug in 0 for x and solve for y
A shipment service provides uses three types of containers for shipping materials the height and width of the three container are the same the containers height is 0.15 m more than their width and volume of the smaller container is 652 m³
1) write a polynomial relating container 1 length, breadth and height with its volume?
The polynomial representing length, breadth and height of th e container is
Lw^2 + 0.15Lw - 652How to find the polynomial relating the dimensions of the containerVolume is measure in liters, cubic meters and so on
The formula for volume calculation is given by
volume = length * width * height
from the question
height is 0.15 m more than their width
width = w
height = 0.15 + w
length = L
volume = 652 m³
652 = L * w * (w + 0.15)
652 = (w^2 + 0.15w)L
652 = Lw^2 + 0.15Lw
Lw^2 + 0.15Lw - 652
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What is the measure of z? X 4 Z 9 z= [?]V Give your answer in simplest form.
Answer:
3√13
Step-by-step explanation:
4 : y = y = 9
y^2 = 36
y = 6
z = [tex]\sqrt{9^2 + 6^2} = \sqrt{81 + 36} = \sqrt{117}[/tex]
117 = 3^2 * 13
[tex]\sqrt{117} = \sqrt{3^2 * 13} = 3\sqrt{13[/tex]
Aiden has a collection of 63 nickels and quarters in his piggy bank. If the total value of the coins is $10.75, how many nickels does he have
The number of nickels is 25
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
The total number of nickels and quarters = 63
Total value = $10.75
20 nickels = 1 dollar
4 quarters = 1 dollar
Now,
1 nickel = $0.05
1 quarter = $0.25
Let the number of nickels = x
Let the number of quarters = y
We can make equations as,
0.05x + 0.25y = 10.75 _____(1)
x + y = 63 ______(2)
From (2) we get,
x = 63 - y
Putting in (1) we get,
0.05 (63 - y) + 0.25y = 10.75
3.15 - 0.05y + 0.25y = 10.75
3.15 + 0.20y = 10.75
0.20y = 10.75 - 3.15
0.20y = 7.6
y = 7.6/0.20
y = 38
Now,
x = 63 - y = 63 - 38 = 25
Thus,
The number of nickels is 25
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Write the equation of a line that is perpendicular
to -y = -x and contains point (−1,−1)
Answer:
y = - x
Step-by-step explanation:
-y = -x is the same as y=x and to get an equation that is perpendicular to another one you just have to find the reciprocal (opposite) number of the SLOPE. The reciprocal of 1 is -1, therefore the perpendicular equation to -y=-x is y=-1
Araceli earns $85,000 per year. Now that she has paid off her credit card debt, she is ready to buy a house. Araceli has a $200 car payment, no student loans, $300 in car insurance every 6 months and she estimates that her monthly utility bills will be $250 in her new house. If her bank requires no more than a 36% debt to income ratio, what would her maximum monthly mortgage payment be?
Answer:
$2300
Step-by-step explanation:
1. Her yearly allowable debt
36% × 85000 = 30600
2. Her monthly allowable debt
30600/12 = 2550
3. Her monthly existing debt
car payment = 200
car insurance = 300/6 =50
monthly utility bill = na this is an estimation
4. allowable debt - existing debt
2550 -200-50= 2300
ps: i may be wrong
bju pre algebra homework, due tomorrow. (please dont do questions 1-6)
Please help me I really need help
Answer:
No
Step-by-step explanation:
parallel is when 2 lines never touch and move in the same direction and these touch and move in different directions
Hopes this helps please mark brainliest