Answer:
[tex]Range = 85[/tex]
[tex]\sigma = 28.71[/tex]
[tex]Interval = [666.78, 781.62][/tex]
Step-by-step explanation:
Given
The data for 25 undergraduates
Solving (a): Range and Standard deviation
The range is:
[tex]Range = Highest - Least[/tex]
From the dataset:
[tex]Highest = 772[/tex]
[tex]Least = 687[/tex]
So:
[tex]Range = Highest - Least[/tex]
[tex]Range = 772-687[/tex]
[tex]Range = 85[/tex]
The standard deviation is:
[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}[/tex]
First, calculate the mean
[tex]\bar x = \frac{769 +691 +............+715}{25}[/tex]
[tex]\bar x = \frac{18105}{25}[/tex]
[tex]\bar x = 724.2[/tex]
So, the standard deviation is:
[tex]\sigma = \sqrt{\frac{(769-724.2)^2 +(691-724.2)^2 +(699-724.2)^2 +(730-724.2)^2 +............+(715-724.2)^2}{25}}[/tex]
[tex]\sigma = \sqrt{\frac{20604}{25}}[/tex]
[tex]\sigma = \sqrt{824.16}[/tex]
[tex]\sigma = 28.71[/tex]
Solving (b): The interval of the 95% of the observation.
Using the emperical rule, we have:
[tex]Interval = [\bar x - 2*\sigma, \bar x+ 2*\sigma][/tex]
[tex]Interval = [724.2 - 2*28.71, 724.2 + 2*28.71][/tex]
[tex]Interval = [666.78, 781.62][/tex]
FIND ALL THREE ANGLES
Answer:
Austin = 38
Atlanta = 89
Chicago = 89
Step-by-step explanation:
First, solve for x. All angles together equal 180. Set your formula up as
180 = 2x - 12 + 2x + 3 + 4x - 11
180 = 8x -20
180 + 20 = 8x
200 = 8x
200 / 8 = x
25 = x
Now substitute 25 in place of x
Austin
2x - 12
2*25-12 = 38
Atlanta
4x-11
4*25-11 = 89
Chicago
2x+3
2*25+3 = 53
Add all your angles together to check your work
Find the complement of the set given that
U = {x | x is in I and −3 ≤ x ≤ 7}.
(Enter your answers as a comma-separated list.)
{−1, 1, 3, 5, 7}
To mix a pastel orange paint, 5ml of yellow pigment and 3 ml of red pigment are added to 1litre of white paint. How much yellow pigment and red pigment are added to 6litre of white paint to reproduce the same colour
Answer:
30ml of yellow
18ml of red
Step-by-step explanation:
5x6=30
3×6=18
Answer:
Step-by-step explanation:
a color
Hello if you're able to answer this question help me and provide work as well, Thank you.
Answer:
2
Step-by-step explanation:
Given the nth term equation:
C(n) = - 6(-1/3)^(n-1)
The 2nd term :
C(2) = - 6(-1/3)^(2-1)
C(2) = - 6(-1/3)^1
C(2) = - 6(-1/3)
C(2) = - 6 * - 1/3
C(2) = 2
van wants to make an array of 32 miniature cars. What are all the different ways Evan can place the cars?
A. 1 × 32, 2 × 16, 16 × 2, 32 × 1
B. 1 × 32, 2 × 16, 3 × 12, 4 × 8, 32 × 1
C. 1 × 32, 2 × 16, 3 × 12, 4 × 8, 8 × 4, 12 × 3, 32 × 1
D. 1 × 32, 2 × 16, 4 × 8, 8 × 4, 16 × 2, 32 × 1
Answer:
1*32, 2*16, 4*8, 8*4, 16*2, 32*1
Step-by-step explanation:
1. What is the discriminant of the equation 5x2 - 20x + 20 = 0?
Answer:
0
Step-by-step explanation:
D = 20²-4(5)(20) = 400-400 = 0
please help with the steps
9514 1404 393
Answer:
346.1 monthly payments; 28.8 years18.5 years; infinite yearsStep-by-step explanation:
Two formulas come into play here. One is the future value of a series of payments. The other is the payment amount available from an ordinary annuity.
FV = An/r((1 +r/n)^(nt) -1) . . . . future value of payments of A made n times per year for t years
A = P(r/n)/(1 -(1 +r/n)^(-nt)) . . . . payment from principal P at invested at rate r for t years, compounded n times per year.
__
Problem 1
You want FV = $350,000, A = $400, r = 0.057, n = 12, and we want to find t. We can solve the FV equation for t to get ...
log(FV·r/(An) +1)/log(1 +r/n) = nt . . . . . number of months
log(350000·0.057/(400·12) +1)/log(1 +0.057/12) = nt ≈ 346.1
The retirement account can be funded by 346.1 monthly payments. That will take 28.8 years.
__
Problem 2
Again, solving for t, we get ...
log(1 -Pr/(An))/(-n·log(1 +r/n)) = t
The parameters for this are P = 700,000, A = 5000, n = 12, r = 0.054, so the account can be expected to last for ...
log(1 -700000·0.054/(5000·12))/(-12·log(1 +0.054/12)) ≈ 18.5 . . . years
Changing the withdrawal to $3000 per month makes the account last forever. It earns $3150 in interest each month, so the account balance continues to increase.
The account will support withdrawals of $5000 per month for 18.5 years.
The account will support withdrawals of $3000 per month forever.
what happens when you divide by 0? i did this problem in my calculator and it broke.
69 + 420 divided by 0
Answer:
ans is 0
Step-by-step explanation:
69 + 420 ÷ 0
489 ÷ 0
0
Answer:
Undefined
Step-by-step explanation:
When you try to divide by 0, your calculator will yield an error because any number (including zero) divided by zero is undefined.
You can think of it like this: if you divide any number by zero, how many times does zero go into that number? An undefined amount of times. If you had zero divided by zero, you'd still run into the issue that any number works:[tex]k\cdot 0=0, k\in \mathbb{R}[/tex]. Because [tex]k[/tex] can be any real number, it is still undefined.
There is an argument for infinity because for function [tex]f(x)=\frac{k}{x}, k\in \mathbb{R}[/tex], as [tex]x[/tex] approaches 0, [tex]f(x)[/tex] approaches infinity:
[tex]\lim_{x\rightarrow 0}f(x)=\infty[/tex]
However, infinity is not a number and should not be treated as such. Undefined is a more precise answer.
I NEED HELP QIUCK PLZ HELP ME
You might need: Calculator
What is the area of the following circle?
Either enter an exact answer in terms of IT or use 3.14 for I and enter your answer as a decimal.
r = 5
units?
Answer:
A = 25pi
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
A = pi (5)^2
A = 25pi
Answer:
Area of circle is 25 π Or 78.5 .
Step-by-step explanation:
We know that
Area of circle = π × r ²
Here,
π = 3.14
r = 5
Substituting the given values in this formula
Area of circle = π × ( 5 ) ²
Area of circle = π × 25
multiplying the values, we get
Area of circle = 25 π Or 78.5
I really don't understand i need help asap. They were asking to find f(-8)
Answer:
i dont get it either
Step-by-step explanation:
Which statement is true?
Answer:
second 1
Step-by-step explanation:
i literally just had that question
HELPPPPPP PLEASEEEEE ILL GIVE BRAINLIEST AND POINTS!!
(you dont need to answer them all but at least help me with a couple)
1) Explain Uganda’s ABC program in the fight against HIV/AIDS
2) Why has the Ugandan government pushed Abstinence as a means of combating the spread of HIV/AIDS?
3) What risks are involved with the use of condoms in combating the spread of HIV/AIDS?
4) On a separate piece of paper, construct a population pyramid to illustrate the current age groups infected by HIV/AIDS in Uganda.
hii please help me :)
Answer:
1.) A = (1/2bh) 4 + lxw
= 1/2 x 7 x 13 x 4 + 7 x 7
182 + 49 = 231cm2
l think u can use the formula to find the area of the other pyramids
Simplify the following expression.
29.718 - 29.63
Answer:
0.88 is the correct answer
Find the distance between the points (0, -3) and (4, 0).
A. 7
B. 1
C. 25
D. 5
9514 1404 393
Answer:
D. 5
Step-by-step explanation:
The distance formula is good for finding the distance between two points.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((4 -0)² +(0 -(-3))²) = √(16 +9) = √25
d = 5
The distance between the points is 5 units.
_____
You may notice that the line between the points makes a 3-4-5 right triangle with the coordinate axes.
which of the following points lies on the line 2x-y=12
Answer:
You forgot something
Step-by-step explanation:
"which of the following points "
no points follow?????
Which of the following expressions could be used to represent "three less than half a number"?
• 1/2 - 3n
• 3 - 1/2n
• 3n - 1/2
• 1/2n - 3
Answer:
the answer is
[tex]3 - \frac{1}{2}n [/tex]
What's is the value of X?
Answer:
[tex]116^o[/tex]
Step-by-step explanation:
All triangles equal [tex]180^o[/tex]. Therefore, in order to find the value of [tex]x^o[/tex], all you will have to do is subtract [tex]64^o[/tex] from [tex]180^o[/tex].
[tex]180^o-64^o=116^o[/tex]
[tex]x^o=116^o[/tex]
Which relationship has a zero slope?
A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2.
A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3.
A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5)
A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
Answer:
B. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3.
What is the length of the diagonal of a rectangle that is 12 inches long and 6 inches wide?
describe the pattern in words
What pattern? Include the pattern please. Thank you.
Words used to describe patterns and arrangements - thesaurus
broken. adjective. a broken pattern or sound has
spaces in it.
candy-striped. adjective. ... checked. adjective. ... checkered. adjective. ... chequered. adjective. ... chronological. adjective. ... criss-cross. adjective. ... dappled. adjective.Hope my answer helps uh ✌️
Lelana bought 21 packs of washable crayons and x packs of non-washable crayons. Write an ex- pression to show how many crayons Lelana bought in total.
please help
Answer:
[tex]21 + x[/tex] packs
Step-by-step explanation:
Given
[tex]Washable \to 21[/tex]
[tex]Non \to x[/tex]
Required
The total packs bought
This is calculated as:
[tex]Total = Washable + Non[/tex]
[tex]Total = 21 +x[/tex]
A store sold 26 sweatshirts. White ones cost $10.95 and yellow ones cost $11.50. If $290.75 worth of sweatshirts were sold, how many of each were sold?
x+y=__
$__x+$__y=$290.75
Answer:
15 white shirts and 11 yellow shirts were sold.
Step-by-step explanation:
15 × 10.95=164.25
11 × 11.50=126.5
126.5+164.24=290.75
PLEASE HELP!!!!!
In the formula CL% confidence interval • S what is Zest? O O A. 1 O B. 3 O c. 2 O O D. 4
Using the Empirical Rule, it is found that the critical value for a 68% confidence interval is given by:
A. 1.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem, we want the 68% confidence interval, hence Zcl = 1 and option A is correct.
More can be learned about the Empirical Rule at https://brainly.com/question/24537145
#SPJ1
Answer:
1
Step-by-step explanation:
1
PLEASE ANYONE!! If the area of a triangle is 32 yd^2 and the base is 6.4 yds long, find the height
Answer:
10yd
Step-by-step explanation:
area= 1/2bh
area=32yd²
b= 6.4, ¹/2b=3.2
therefore, 32= 3.2h
h= 32/3.2
= 10yd
Witch number line and expression show how to find the distance from 4 to - 1?
Answer:
I would tell you but you do not have a picture
A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation
h =
- 6t2 + 6t where h is the frog's height in meters at any given time, t. Find the maximum height the frog reached
Consider a process that includes careful testing of each manufactured defibrillator. Listed ( below are the numbers of defective defibrillators in 20 successive batches of 10,000. Find the values you would use for the centerline, the upper control limit, and the lower control limit.
20 14 22 27 12 12 18 23 25 19 24 28 21 25 17 19 17 22 15 20
a. p = 0.040000
UCL 0.041 039, LCL = 0.03 8961
b. p 0.002000
UCL= 0.003340, LCL= 0.000660
c. p=0.0020000
UCL = 0, 021200, LCL = 0
d. p 0.040000
UCL = 0.041470, LCL = 0.038530
400 is 100 times as much as
Expand and simplify 4(p+2)-3(5-6p)
Step-by-step explanation:
4p+8-15+18p=04p+18p=-8+1522p-7
