Answer:
a. 99
b. 12.31
Step-by-step explanation:
a. Estimate of the population mean number of units sold per month
n = Number of Data Values = 5
Sum of Data Values = Σxi =97 + 120 + 88 + 97 + 93 = 495
Sample Mean = X = Σxi/n = 495 / 5 = 99
The population mean number of units sold per month is 99
b. Estimate of the population standard deviation
Month Data (x) X x - X (x - X)^2
1 97 99 -2 4
2 120 99 21 441
3 88 99 -11 121
4 97 99 -2 4
5 93 99 6 36
Sum of deviation squared 606
s^2 = Sample Variance = Σ(xi - X)2/(n - 1)
Sample Variance = 606/4 = 151.5
Sample Standard Deviation = √Sample Variance
Sample Standard Deviation = √151.5
Sample Standard Deviation = 12.30853362509117
Sample Standard Deviation = 12.31
The point estimate of the population standard deviation is 12.31
simplify (3x+2) (y-2) - (7y+3) (y-3)
Answer:
3 x y − 7 y 2 − 6 x + 20 y + 5
Step-by-step explanation:
Find 2 consecutive positive odd integers such that 4 times the larger is 29 more
than three times the smaller?
Answer:
21 and 23Step-by-step explanation:
Two integers are:
x and x + 2The equation and solution:
4(x + 2) = 3x + 294x + 8 = 3x + 294x - 3x = 29 - 8x = 21And
x + 2 = 23A total of 710 tickets were sold for the school play . They were either adult tickets or student tickets. There were 60 more student tickets sold than adult tickets. How many adult tickets were sold ?
Answer: 325
Explanation:
Let the number of adult tickets be x
( since there are an unknown amount of tickets for adults, we already know how many student tickets there are)
Let the number of student tickets be x+60
710=x+x+60
710=2x+60
-60 -60
650=2x
650/2
= 325
Adult tickets=325
Student tickets=385
Order these numbers least to greatest 5/3,1,12/6
Answer:
1,5/3,3 that the answers
Which of the following equations demonstrates the Identity Property of One? A. 3 - 2 = 1 B. 4 • 1 = 14 C. 1 • b = b D. 0 + 1 = 1
what kind of graph is this?
Answer:
Linear
General Formulas and Concepts:
Types of Graphs
LinearQuadraticExponentialCubicSquare rootCube rootStep-by-step explanation:
Whenever the graph is a straight line (either a diagonal or a horizontal, NOT a vertical line), it will always be linear.
The ______ identity is 1.
Answer:
I believe its ,multiplication
Step-by-step explanation:
because any number you multiply be one is one
mark brainliest if correct please
Answer:
multiplication
Step-by-step explanation:
Cause of Peter griffen
ANSWER QUICK PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
case a) y=1/3x+8
case b) y=-3x+28
Step-by-step explanation:
case a)
parallel lines has the same slope, then, the searched line has the form:
[tex]y=\frac{1}{3} x +b[/tex]
Now, in order to find b, we must use the given point (6,10). By substituying this point into the last equation, one has
[tex]10=\frac{1}{3} 6+b\\10=\frac{6}{3} +b\\10=2+b\\b=10-2\\b=8[/tex]
Then, the line equation is y=1/3x+8
case b)
the slope of a perpendicular line is the "negative reciprocal" of the slope of the original line, that is
[tex]m=-\frac{1}{\frac{1}{3} } \\m=-3[/tex]
Hence, the searched line has the form y=-3x + b. Now, in order to find the y-intercept b, we must use the given point (6,10). Therefore,
[tex]10=-3(6)+b\\10=-18+b\\b=10+18\\b=28[/tex]
Hence, the searced equation is y=-3x+28
True of False:the following polynomial is written in standard form
2x^4-x^3+5x^2+x-7
Worth 75 points!! Need help with calculus
The leg of a right triangle is 2 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the triangle?
2 units
6 units
Square root of 12 units
Square root of 20 units
Answer:
its 6 units
Step-by-step explanation:
Answer:
Square root of 20
I really hope i'm right sorry in advanced if i'm not
Please find measure of angle s. PLEASE HELP FAST!!
Answer:
27
Step-by-step explanation:
15x-31 = 9x+11
6x-31 = 11
6x = 42
x = 7
15x -31 + 9x + 11 + s = 180
15(7) -31 + 9(7) + 11 + s = 180
105 - 31 + 63 + 11 + s = 180
153 + s = 180
s = 27
Chad bought 1 box of raisins. He gave 1/6 of it to one brother, 1/4 to another brother, and he kept the rest for himself. What fraction did he keep?
Write the answer in the simplest form
Answer:
He kept 7/12 of the box.
Step-by-step explanation:
We add and convert both 1/6 and 1/4 because we cant add fractions with unlike denominators.
1/6 = 2/12 | 1/4 = 3/12
then add.
2/12 + 3/12 = 5/12.
we subtract this from a whole, which is 12/12.
12/12 - 5/12 = 7/12
he keeps 7/12 of the box
hope this helped!
22. Find the slope and Y intercept of the line 3x+4y-9=0
hi there! here's my answer for you...
Answer:
slope:
m = -3/4
y-intercept:
y = −3x/4 + 9/4
hope this helped. have a good one!
Solve the following
Answer:
Q1
|a-b| = b-a when a<b
Q2
104159/33000
Step-by-step explanation:
Q1
If a<b then a-b will always be negative. To get the absolute value, we can take -(a-b) = -a+b = b-a.
Q2
Let x = 3.12789789789...
We isolate the repeating decimal to start after the decimal, so we multiply by 100.
100x = 312.789789789...
We want to multiply by 10 for each digit that repeats (in this case 3), to get the repeating part to the left of the decimal.
100000x = 312789.789789
Subtracting the two...
x(100000-100) = 312789.789789 - 312.789789
99900x = 312477
x = 312477/99000 = 104159/33000
a leaky faucet is losing water and it is filling a 5 gallon bucket every 12 hours. At the rate, how many gallons of water will the faucet leak 48 hours
Answer:
20 gallons
Step-by-step explanation:
First start off by dividing 48 by 12 to see how many times 12 goes into 48.
48 / 12 = 4
now that you know that 12 goes into 48 4 times, multiply 4 by 5 to see how many gallons the leaky faucet will fill in 48 hours.
4 x 5 = 20
therefore the answer is 20 gallons
I hope this helps ^^
These reverse processes are both part of
Answer:
you forgot the picture
Step-by-step explanation:
Please put a picture
What is a mutual fund’s
A pool of money where investors buy shares and a fund manager invests them and gives the investor the return; the way that most Americans invest their money because of the ease. hope that helps!
Use this picture and help please
Answer:
This would be 55 degrees because the sum of angles A, B and C = 180 degrees
HELP ME PLEASEEEEEESS
Answer:
b
Step-by-step explanation:
9. The expression x(x-7)+4(x-7) is equivalent to each of the following except which choice?
(1) (x+4)(x-7)
(3) x2-28
(2) x2 – 3x – 28
(4) (x-7)(x+4)
Answer:
I the answer is number 3
x(x-7)+4(x-7)
x²-7x + 4x-28
=x²-3x-28
(x+4)(x-7)
x²-7x+4x-28
=x²-3x-28
(x-7)(x+4)
x²+4x-7x-28
=x²-3x-28
x2 – 3x – 28
the factored form is
=(x+4)(x-7)
write the equation of the line in standard form passing through (2,-4) with a slope of -7
Answer:
7x+Y=-2
Step-by-step explanation:
(y-y1)=m(x-x1)
(Y+4)=-7(x-2)
Y+4=-7x+2
Y+7x=2-4
7x+Y=-2
13,84,85 are the last ones please help
Answer:
49,36,85
Step-by-step explanation:
c in step 4 comes from step 3... 49+36
a and b in step 3 come from step 2... in the same (you've got a - b and then 7 squared - 6 squared, so a is 49 and b is 36
Danny bought 8 rolls of paper towels. He has 204.8 meters of paper towels in all. How many meters of paper towels are on each roll? A) 21.52 B) 25.12 C) 25.60 D) 26.52
Answer:C) 25.60
Step-by-step explanation:204.8÷8=25.60
Answer:
:C) 25.60
Step-by-step explanation:
What is the equation of the line that passes through the point (5,2) and has a slope
of -3/5
Answer:y = -0.6x + 5
Step-by-step explanation:
Answer:
yessir the one on top is right btw
Step-by-step explanation:
hope this helped
Calculator
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A theater sold 1,802 tickets for
their Saturday evening
performance. This was 635 more
than the number of tickets sold
for the matinee performance. If
tickets cost $75 each, find the
total ticket sales for two
performances.
Answer:
the answer would be 2,969 also i think the cost of tickets is pretty useless
Step-by-step explanation:
Answer:2,969
Step-by-step explanation:
it costs 13$ for admission to amusement park, plus 1.50$ for each ride.if you have a total of 35.50 to spend, what is the greatest number of rides you can go on
Answer:
Thus, the greatest number of rides I can go on is 15 rides
Step-by-step explanation:
I have $35.50 to spend for admission plus rides in the amusement park.
Admission costs $13. That leaves me with
$35.50 - $13 = $22.50
to spend on rides.
Considering each ride costs $1.50, we can find the maximum number of rides by dividing the remaining money by the cost per ride as follows:
$22.50 / $1.50 = 15
Thus, the greatest number of rides I can go on is 15 rides
romona has $800 in her bank account
Um not sure what you're asking for bud you didn't finish.
Answer:
Okay?????? I don't think you finished
How do you do these two questions?
Answer:
(x − π)⁷ / 5040
(x − 1)³ / 16
Step-by-step explanation:
Taylor series expansion of a function is:
f(x) = ∑ₙ₌₀°° f⁽ⁿ⁾(x₀) / n! (x − x₀)ⁿ
where f⁽ⁿ⁾(x₀) is the nth derivative evaluated at x₀.
For the first problem, f(x) = sin x and x₀ = π. We want the seventh degree term, so n = 7.
The seventh degree term is therefore: f⁽⁷⁾(π) / 7! (x − π)⁷
Find the seventh derivative of sin x:
f(x) = sin x
f⁽¹⁾(x) = cos x
f⁽²⁾(x) = -sin x
f⁽³⁾(x) = -cos x
f⁽⁴⁾(x) = sin x
f⁽⁵⁾(x) = cos x
f⁽⁶⁾(x) = -sin x
f⁽⁷⁾(x) = -cos x
Evaluated at π, f⁽⁷⁾(x) = 1. So the seventh degree term is (x − π)⁷ / 5040.
For the second problem, f(x) = √x and x₀ = 1. We want the third degree term, so n = 3.
The third degree term is therefore: f⁽³⁾(1) / 3! (x − 1)³
Find the third derivative of √x:
f(x) = √x
f⁽¹⁾(x) = ½ x^-½
f⁽²⁾(x) = -¼ x^-³/₂
f⁽³⁾(x) = ⅜ x^-⁵/₂
Evaluated at 1, f⁽³⁾(x) = ⅜. So the third degree term is (x − 1)³ / 16.