Answers:
New Mean = 51New Standard Deviation = 14New Variance = 196================================================
Explanation:
Consider the set {x1,x2,x3,...,xn}. The numbers 1,2,3,...,n represent the index of each x value. So we have n numbers we want to find the average.
The sum of those values is
S = x1+x2+x3+...+xn
When dividing that over n, we get the average A
A = S/n
A = (x1+x2+x3+...+xn)/n
-----------------
Now consider adding 4 to each x value
We have this new set
{x1+4, x2+4,x3+4,...,xn+4}
The new sum T is
T = (x1+4)+(x2+4)+(x3+4)+...+(xn+4)
T = (x1+x2+x3+...+xn) + (4+4+4...+4)
T = S + 4n
Divide both sides by n
T/n = (S+4n)/n
T/n = (S/n) + (4n/n)
T/n = (S/n) + 4
T/n = 47+4
T/n = 51
The new average T/n is 4 larger compared to the old average S/n. So we just add 4 to the old average 47 to get 51 as the new average.
-----------------
If we shift every value the same amount, then the standard deviation and variance will not change. This is because both of those items measure how spread out a distribution is. Shifting each item the same amount, keeps the same spread and shape of the distribution. If only affected some of the items, then the standard deviation and variance would change.
Note that,
variance = (standard deviation)^2
variance = (14)^2
variance = 196
Yuma needs a singer. Singer A is offering her services for an initial $75 in addition to $35 per hour. Singer B is offering his services for an initial $150 in addition to $20 per hour. When will the two singers charge the same amount of money? The two singers will charge the same amount of money after hours.
Answer:
5 hours
Step-by-step explantioon:
35x+75=20x+150
15x+75=150
15x=75
x=5
divide nine by three, then subtract two double the results
Answer:
2
Step-by-step explanation:
hope this helps
Answer:
-3
Step-by-step explanation:
because nine divided by 3 is 3 then subtract 3 which is 0 then subtract 3 again which is -3
Write the equation of a line that passes through (-5, 3) and has a slope of -2 in slope intercept form.
Answer:
y = -2x -7
Also:
Plz mark brainliest if this helped :)
What’s the slope of the line?
Answer: 2
Step-by-step explanation:
[tex]\frac{rise}{run} = \frac{2}{1}[/tex]
A rectangle has a length of 6 cm and an area of 18 cm square what is the width of the rectangle
Answer:
3
Step-by-step explanation:
Pls help out! If you know the answer pls say the letter! ty!
Answer:
it's C
Step-by-step explanation:
it cuz -2 has two outputs. if this were a function each x value would only have one output.
10.00 for movie tickets
Answer:
Yup!
Step-by-step explanation:
there you have it, I hope it helps you????
Evaluate: 7.921 x 104.
79,210,000
7,921
792.1
79,210
Answer:
72,910
Step-by-step explanation:
7.291 x 10^4
10^4 means to move the decimal places four times.
7.921 = 79.210 = 792.10 = 7921.0 = 79,210
Tom has a can of paint that covers 37 1/2 m² each board on the fence has a area of 3/16 m² how many boards can he paint.
Step-by-step explanation:
37 and 1/2 divided by 3/16 =
75/2 divided by 3/16 =
75/2 * 16/3 =
25*8 = 200 <--- 75 cancels 3; 16 cancels 2
Please help my sister again I can’t stand her she’s making me mad
Answer:
I'm pretty sure it's dark blue. It says below so that implies negative.
Answer:
Below = negative so A would be your answer
Step-by-step explanation:
Hope I helped
what is 5% of 345,000
Answer:
17,250
Step-by-step explanation:
Samantha invested $660 into an account that paid 3.5% interest compounded annually. Samantha did not make any additional deposits or withdrawals. What is the total amount of interest paid by this investment at the end of 5 years?
115.5 is the total amount of interest paid by this investment at the end of 5 years
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
Samantha invested $660 into an account that paid 3.5% interest compounded annually.
We need to find total amount of interest paid by this investment at the end of 5 years
A=P(1+rt)
A is final amount
P is principal amount
r is rate of interest
t is time
A=?,P=660,r=3.5%=0.035, t=5
A=660(1+0.035(5))
=660(1+0.175)
=660(1.175)
A=775.5
To check the total amount of interest paid by this investment at the end of 5 years
We need to find difference between initial amount and final amount
775.5-660
115.5
Hence 115.5 is the total amount of interest paid by this investment at the end of 5 years
To learn more on Percentage click:
https://brainly.com/question/28269290
#SPJ2
Rewrite the following in
decimal form:
356 thousandths
martymade 10 kg of dough after working 5 hours. how much dough did her make if he worked 7 hours?
Answer:
14 kg
Step-by-step explanation:
A pig farmer needs 60 square feet to house a sow. The pen is 6.4 ft by 10.5 ft. Will it be large enough? Explain your reasoning
Answer:
Yes!
Step-by-step explanation:
To find the area, multiply the sides.
6.4x10.5+67.2
Then subtract
67.2-60=7.2
There is still 7.2 ft² after the sow.
Yes! 6.4 ft by 10.5 ft. Will be large enough
What is Area of Rectangle?The area of Rectangle is length times of width.
Given,
A pig farmer needs 60 square feet to house a sow.
The pen is 6.4 ft by 10.5 ft.
We need to find the area we get by 6.4 ft and 10.5 ft.
The area of rectangle=Length×Breadth
6.4x10.5
67.2
67.2 is more than 60 which the farmer expected
Then subtract
67.2-60=7.2
There is still 7.2 ft² after the sow
Hence, Yes the pen is 6.4 ft by 10.5 ft is large enough.
To learn more on Rectangles click:
https://brainly.com/question/20693059
#SPJ2
Chelsea deposits $600.00 into a bank account and is earning 8.5%simple interest. She decides to keep the account for 4 years. a) How much interest would the account have made after the 4 years?
Answer:
$204 in interest
Step-by-step explanation:
Plug in each variable into the simple interest formula: I = PRT
P = $600
R = 8.5% (0.085)
T = 4 years
Pls I need help !!!!!!
x = 9 ..................,........................,..................,.....................
Brandon was trying to buy a new gaming console that costs $500. If he 17 poi
is charged 7% sales tax, how much money will he need altogether?
Answer:
Step-by-step explanation:$500 X 0.07 equals $35.00
Add $500 + $35 = $535
3600 stitches in 3 minutes
QUICK PLEASE
Answer:
1200
Step-by-step explanation:
Answer:
1,200 stitches a minute
Step-by-step explanation:
Hope this helps!!
Which one weighs more? (2 points)
6. Which one weighs more: a pumpkin that weighs 6 kilograms
or a turkey that weighs 15 pounds? Explain your reasoning. Note:
1 pound equals about 0.45 kilograms.
Explain how you know. (2 points)
Answer:
The turkey weighs more
Step-by-step explanation:
15 x .45 = 6.75
6.75 > 6
Albert bought 9 pounds of fish at a grocery store at $5 per pound for salmon and $3 per pound for catfish. He spent a total of $37 on the salmon and catfish. This can be represented using the following system of equations:5s +3c = 37 s + c = 9 How many pounds of salmon did Albert purchase?
Answer:
5 pounds
Step-by-step explanation:
To find that we simply solve the system of equationsSo make c the subject of the formula of equation 2[tex]s+c=9\\c=9-s[/tex] Substitute in equation 1 [tex]5s+3c=37\\5s+3(9-s)=37\\5s+27-3s=37\\5s-3s+27-(27)=37-(27)\\2s=10\\s=5[/tex] so that's 5 pounds of salmonf(0)=1(0+3)squared + 1
Find f of zero.
What does this point represent?
Answer:
10
Step-by-step explanation:
F(0) = 3^2+1=9+1=10
find the slope of the line passing through points (-6,3) and (2,5)
Answer:
1/4
Step-by-step explanation:
Slope = (5-3)/(2-(-6))
= 2/8
= 1/4
Jamisha is solving the equation 4 ( x − 2 ) = 34 for x . Her work is shown in the table.
Answer:
Step-by-step explanation:
4x -8 = 34
4x = 42
x = 42/4 = 21/2 = 10.5
hr
Solve for x. Write both solutions, separated by a
comma.
2x2 - x - 10 = 0
Enter the correct answer.
Use Law of Cosines to solve for the missing side of the triangle:
Answer: where is the picture?
Step-by-step explanation: I'll answer if it is easy for me
It's going to be Lindsay's birthday soon, and her friends Mary, Jacqui, Tadeusz, Opal, and Tony have contributed equal amounts of money to buy her a present. They have $30.00 to spend between them. Write and solve an equation to determine how much they contributed.
This is due in 45 mins please Help!
Giving out 50 points
The equation to determine how each of them contributed is
x= 30/5 = $6.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
We have,
They have $30.00 to spend between them.
let $x be the amount each contributed.
So, the equation to determine how each of them contributed
x = 30/ 5
x= $6.
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ3
What is sin 45°?
A. 1/√2
B. √3
c. 1
D. 1/√3
E. 1/2
F. √3/2
Answer:
A. 1/√2
Step-by-step explanation:
I just took the test.
Good luck mate!
The value of Sin 45° is 1/√2
What are trigonometric functions?In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.
Given here Sin 45° and Sin 45 degrees is the value of sine trigonometric function for an angle equal to 45 degrees. The value of sin 45° is 1/√2 or 0.7071 (approx).
Hence, the value of Sin 45° is 1/√2
Learn more about trigonometric functions here:
https://brainly.com/question/6904750
#SPJ2
100 points if answered right
Which equation can be used to find 40 percent of 25? Start Fraction 25 divided by 1 Over 40 divided by 1 End Fraction = Start Fraction 25 Over 40 End Fraction Start Fraction 100 times 4 Over 40 times 4 End Fraction = Start Fraction 400 Over 16 End Fraction Start Fraction 40 times 4 Over 25 times 4 End Fraction = Start Fraction 160 Over 100 End Fraction Start Fraction 40 divided by 4 Over 100 divided by 4 End Fraction = Start Fraction 10 Over 25 End Fraction
Answer:
a
Step-by-step explanation:
Answer:
The answers that I got that were correct are: B, C, and E
Explanation:
The answer for this problem is 10 when you try to Find the percentage of one number in relation to another with the formula Percentage = (number you want to find the percentage for ÷ total) × 100. Move the decimal point two places to the right to convert from a decimal to a percentage, and two places to the left to convert from a percentage to a decimal.
Brainlist Please!
HELP PLEASE I NEED THE ANWSER NOOOOOOW
Answer:
4
Hope this helps
