Answer:
x^2+y^2=6^2
Step-by-step explanation:
The equation of a circle is (x-h)^2+(y-k)^2=r^2
where h is the x coordinate of the center, k is the y coordinate of the center, and r is the radius of the circle.
We can see the center is on 0,0, and the radius is 6, so our equation is
(x-0)^2+(y-0)^2=6^2
or
x^2+y^2=6^2
Answer:
[tex] x ^2 + y^2 = 36 [/tex]
Step-by-step explanation:
Center of the circle (h, k) =(0, 0)
Radius of the circle (r) = 6 units
Equation of circle in center radius form is given as:
[tex] (x-h) ^2 + (y-k) ^2 = r^2 [/tex]
[tex] (x-0) ^2 + (y-0) ^2 = (6)^2 [/tex]
[tex] x ^2 + y^2 = 36 [/tex]
If you sell 30 items at $200 a piece and your commission rate is 20%, how much commission do
you earn?
а
$600
b
C
$1,200
$120
$6,000
d
Answer:
$1200
Step-by-step explanation:
There are 2 ways I immediately think about to solving the problem.
1) You multiply 30 and 200 , then multiply the product by .2 (i.e. 20%)
This way, you'll find out what the total amount was($6,000), then you multiply it by your commission rate.(.2 or 20%) to find your total profit($1,200).
2) You multiply 200 by .20 , then multiply the product by 30.
This way, you'll find out what your commission would be for a single item($40), then multiply by the total items sold (30) to find your total profit($1,200).
Answer:
$1200
Step-by-step explanation:
30*200 = 6000
6000 * 20% = 1200
solve the system by substitution.....
Answer: y=-20,:x=-2
PLEASE MARK BRAINLIEST
Answer:
x=-2
y=-20
Step-by-step explanation:
y=10x
y=2x-16
10x=2x-16
-2x -2x
8x=-16
/8 /8
x=-2
y=10x
y=10(-2)
y=-20
Which of the following numbers is equivalent to
√48?
Answer: you forgot attachment
Step-by-step explanation:
Find the volume of the composite figure.
The water ski club plans to build a new ramp for their ski shows in the shape of a triangular prism shown below
Answer:
24.8!
Step-by-step explanation:
Can someone please help!!
Answer:
https://youtu.be/WYNfQabLpuk
Know how to calculate point est., confidence interval, max tolerable error. Know the effect when you change the confidence level and the sample size. A high school surveyed their graduates on their starting salaries. 300 were returned. The average starting salary of the surveys returned was $32,000 with a standard deviation of $5,000.
1. What is the point estimate for the starting salary of the graduates?
2. What is the 95% confidence interval for the average salary of all graduates?
3. What is the value of the Maximum Tolerable Error for the above confidence interval?
4. If the level of confidence changes to 99%, and all other variables remain unchanged, what will happen to the confidence interval?
5. If the number of graduates returning the survey changes from 300 to 700, all other variables remaining unchanged, what will be effected?
Answer:
1)The sample mean is the point estimate for the starting salary of the graduates which is $32,000
2) at 95%, confidence interval for the average salary of all graduates is ( 31525.13, 32474.87 )
3) Margin of Error E = 474.87
4) at 99%, confidence interval is ( 31328.54, 32671.46 ).
5) the probability of error will be affected
Step-by-step explanation:
Given the data in the question;
1) the point estimate for the starting salary of the graduates?
The sample mean is the point estimate for the starting salary of the graduates which is $32,000
2) the 95% confidence interval for the average salary of all graduates?
given that;
mean x' = $32,000
standard deviation σ = $5000
sample size n = 300
∝ = 1 - 95% = 1 - 0.95 = 0.05
∝/2 = 0.05/2 = 0.025
Z Critical value [tex]Z_{\alpha /2[/tex] = 1.6449 ≈ 1.645
so, 95% confidence interval for the average salary of all graduates will be;
⇒ x' ± Margin of Error
Margin of E = [tex]Z_{\alpha /2[/tex] ( σ/√n )
we substitute
E = 1.645( 5000/√300 )
E = 1.645( 288.675 )
E = 474.87
so
x' ± Margin of Error
32000 ± 474.87
⇒ 32,000 - 474.87, 32,000 + 474.87
⇒ ( 31525.13, 32474.87 )
Therefore, 95% confidence interval for the average salary of all graduates is ( 31525.13, 32474.87 )
3) the value of the Maximum Tolerable Error for the above confidence interval?
This is simply the Margin of Error,
Margin of Error E = 474.87
4)
If the level of confidence changes to 99%, and all other variables remain unchanged, what will happen to the confidence interval?
at 99% confidence level;
∝ = 1 - 99% = 1 - 0.99 = 0.01
∝/2 = 0.005
[tex]Z_{\alpha /2[/tex] = 2.326
∴ confidence interval will be;
⇒ 32000 ± [tex]Z_{\alpha /2[/tex] ( σ/√n )
we substitute
⇒ 32000 ± 2.326( 5000/√300 )
⇒ 32000 ± 2.326( 288.675 )
⇒ 32000 ± 671.458
⇒ 32000 - 671.458, 32000 + 671.458
⇒ ( 31328.54, 32671.46 )
Therefore, at 99%, confidence interval is ( 31328.54, 32671.46 ).
5) If the number of graduates returning the survey changes from 300 to 700 and all other variables remaining unchanged, the probability of error will be affected
In order to take good notes while reading, you must ask yourself ________________. a. “What is the main idea?” c. “What have I learned?” b. “What are the supporting details?” d. all of the above Please select the best answer from the choices provided A B C D
Answer: D do all of the above and you will get good grades
Step-by-step explanation:
21. Sandra is 4 feet tall. Pablo is 10% taller than Sandra, and Michaela is 8% taller than Pablo. a. Explain how to find Michaela's height with the given information.
Answer:
Step-by-step explanation:
Find 10% of Sandra’s height then find 8% of Pablo’s height, then combine. 4 feet 9 inches.
How much simple interest is earned on a principal of $700 after 5 years if the account pays 3% annually?
Answer:
21.15
Step-by-step explanation:
700 + 5 = 705
3% of 705 = 21.15
help please asap today is the deadline
if the submarine travels 518 kilometers in 14 hours, how many kilometers does the submarine travel in 1 hour
Answer:
37 km
Step-by-step explanation:
Answer:
37kph
Step-by-step explanation:
518/14=37
Which number makes this equation true?
5 x (3 x 2)= 5 x ?
Answer:
6
Step-by-step explanation:
Zac gave 60 candies to 12 friends. Write an equation to solve how many pieces they each get.
HELPP PLSS
Answer:
each friend gets 5 candies.
Step-by-step explanation:
ok, let's list the basics.
Zac has 60 candiesZac has 12 friendsEach friend gets the same amount of candiesfor this question we need to use division.
60 ÷ 12 = 5
i really hope this helped, if you have any questions feel free to ask
good luck my friend!
-cheesetoasty
A school social group has 30 seniors, 38 juniors, 24 sophomores, and 18 freshmen. They need to choose a president, an assistant, and an accountant. The president must be a senior and the assistant must not be a freshman. How many different ways can they pick the officers?
Step-by-step explanation:
by choosing from the sophomores or by choosing from the freshmen
Answer:
303600Step-by-step explanation:
There are:
30 seniors, 38 juniors, 24 sophomores, and 18 freshmenThe president must be a senior.
Number of ways = 30The assistant must not be a freshman.
Number of ways = 30 + 38 + 24 = 92The accountant can be anyone.
Number of ways = sum of all = 110Number of ways to pick officers:
30*92*110 = 30360016^x-1 ÷ 2^4x.32 simplify
Answer:
16x - 1/50x
Step-by-step explanation:
An angle measures 31.6° more than the measure of its complementary angle. What is the measure of each angle? (need two answers pls see pic)ASAP!!!!!!!!
Answer:
29.2 and 60.8
Step-by-step explanation:
x° + x° + 31.6° = 90°
2x + 31.6 = 90
2x = 58.4
x° = 29.2°
90° - 29.2° = 60.8°
29.2 and 60.8
Which angle is an adjacent interior angle?
Which statement is represented by this equation? 3(4-x)+8=24
Answer:
x=4
Step-by-step explanation:
First divide 3 from both sides.
Then minus 8 which makes it 0.
Finally, pull the x to the other side giving you x=4
Of the following fractions: 9/19, 5/11, 7/15, and 11/23, which is the largest?
Answer: 11/23
Step-by-step explanation:
I used my calculator to convert those fractions into decimal form and found the biggest number. It was about 0.4789.
The largest fraction will be 11/23.
What is mean by Fraction?A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
Given that;
All the fractions are,
⇒ 9/19, 5/11, 7/15, and 11/23
Now,
Since, All the fractions are,
⇒ 9/19, 5/11, 7/15, and 11/23
Here, The values are,
⇒ 9 /19 = 0.47
⇒ 5/11 = 0.45
⇒ 7/15 = 0.46
⇒ 11/23 = 0.48
Thus, The largest value of the fraction = 11/23
Learn more about the fraction visit:
https://brainly.com/question/5454147
#SPJ2
Express f(x) in the form f(x) = (x - k)q(x)+r for the given value of k.
f(x)= x^3+ 4x² + 5x + 2, k= -2
Given:
[tex]f(x)=x^3+4x^2+5x+2,k=-2[/tex]
To find:
The the given function in the form [tex]f(x)=(x-k)q(x)+r[/tex].
Solution:
We have,
[tex]f(x)=x^3+4x^2+5x+2[/tex]
The coefficients of f(x) are 1, 4, 5, 2.
Divide the given function by (x+2) by using synthetic division as shown below:
-2 | 1 4 5 2
-2 -4 -2
_____________________
1 2 1 0
_____________________
Bottom row represent the quotient and last element of the bottom row is the remainder.
Degree of the function is 3 and the degree of division is 1. So, the degree of the quotient is 3-1 = 2.
So, the quotient is [tex]x^2+2x+1[/tex] and the remainder is 0.
Now,
[tex]f(x)=(x-k)q(x)+r[/tex]
Here, q(x) is the quotient and r is the remainder.
[tex]f(x)=(x-k)(x^2+2x+1)+0[/tex]
Therefore, the required answer is [tex]f(x)=(x-k)(x^2+2x+1)+0[/tex].
Solve for c:
112 = 14c
Answer:
its 8 i belive
Step-by-step explanation:
a straight line passing through A(3,2) and B(5,y) has gradient -2. find the value of y
Step-by-step explanation:
[tex]gradient \: = \: \frac{y2 - y1}{x2 - x1} [/tex]
y2 = y , x2 = 5
y1 = 2 , x1 = 3
[tex] - 2 \: = \: \frac{y - 2}{5 - 3} [/tex]
-4 = y-2 ==> y = -2
Answer:
y=-2
Step-by-step explanation:
For a line containing the points (X1,Y1) and (X2,Y2), the gradient/slope is equal to (Y2-Y1)/(X2-X1).
Therefore for a line with gradient -2 and points (3,2) and (5,y), we can say:
-2=(y-2)/(5-3)
-2(2)=y-2
y=-4+2
y=-2
Star Time:7:30 A.M Elapsed Time:2 hours, 20 minutes End Time is
Answer:
9:50 A.M.!
Step-by-step explanation:
7 HRS +2 HRS = 9 HRS
30 MINS + 20 MINS = 50 MINS
Are the two triangles similar? If so, state the reason and the similarity statement.
Question 12 options:
A)
Yes; SAS; ΔIGF ∼ ΔMNL
B)
The triangles are not similar.
C)
Impossible to determine.
D)
Yes; AA; ΔIGF ∼ ΔMNL
Answer:
The triangles are not similar.
Step-by-step explanation:
Given
[tex]\triangle IGF[/tex] and [tex]\triangle MNL[/tex]
See attachment for triangles
Required
Determine if both triangles are similar or not
From the attached triangles, the corresponding sides are:
IG & MN and GF & NL
Where
[tex]IG = 12[/tex] [tex]MN = 14[/tex]
[tex]GF = 16[/tex] [tex]NL = 18[/tex]
For both triangles to be similar, the following equivalent ratios must be equal.
[tex]\frac{IG}{MN} = \frac{GF}{NL}[/tex]
[tex]\frac{12}{14} = \frac{16}{18}[/tex]
[tex]\frac{6}{7} \ne \frac{8}{9}[/tex] -- since both ratios are not equal, then the triangles are not similar
if twice a number is decreased by 13, the result is 9, what is the number?? (please make a solution)
Answer:
22
Step-by-step explanation:
2x-13=9
2x-13-9=0
2x-22=0
2x=22
x=11
Find the 43rd term of the sequence
-3.0,-2.5,-2.0,-1.5
Answer:
19.5
Step-by-step explanation:
The 43rd term of the sequence is 19.5
(9/89)x490+324
Please help
Answer:
(9/89)×490+324=9/89×490=4410/89+324=?Answer:
decimal form is 373.55056
Step-by-step explanation:
multiply (9\89) x 490 in a calculator
you should get (4410\89) then add 324
you'll get another fraction (33246\89)
put that in a calculator and use the double arrow button (if you have it)
it looks like this in a way ( <||>)
I hope this help unless its too late.
If i'm too late i'm sorry I was in class when my computer died
Glenisha checking account had a balance of $973.92. She wrote checks for $91.03 and $13.45. She deposits her paycheck in the amount of 210.90. What is Glenisha's new balance
a) 1,080.34
b) 867.51
c) 658.53
d) 597.23
Answer:
A
Step-by-step explanation:
Please help me find the answer fo this!!
Answer:
÷3==533740£; ok8iejeoeoeo