Answer: 106.5
Step-by-step explanation:
We know that, Confidence interval for population mean is given by :-
( Sample mean - Margin of error , Sample mean + Margin of error)
Given: confidence interval is (92.3, 120.7).
i.e. Sample mean - Margin of error = 92.3 (i)
Sample mean + Margin of error = 120.7 (ii)
Adding (i) and (ii) , we get
2( Sample mean ) = 213
⇒ Sample mean = 106.5
Hence, the sample mean [tex](\overline{x})[/tex] = 106.5
At a sale, dresses were sold for 36% of their original price. If the dresses originally cost $200 each, how much did a dress cost on sale?
Answer:
Each dress would cost 72
Step-by-step explanation:
36% of 200 is 72
Will mark as brainliest if correct!
Answer:
14
Step-by-step explanation:
it's a simple matter of percentage on top of basic subtraction.
1. An integer is 3 less than 5 times another. If the product of the two integers is 36, then find the integers.
Answer:
3 and 12
Step-by-step explanation:
3*5=15 and 15-3=12. The product of 3 and 12 is 36.
The integers are 3 and 12.
What is Algebra?Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.
let the one integer be x.
Another integer = 5x - 3
According to question,
x *(5x-3 ) =36
5x ² -3 x =36
5x² -3 x - 36 = 0
5x² -15 x +12 x - 36 =0
5x( x-3) + 12 ( x -3) =0
(5x +12)( x- 3)=0
x= -12/5 or 3
So, the integers are 3 and 12.
Learn more about this concept here:
https://brainly.com/question/17023448
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Find all values of x in the interval [0, 2π] that satisfy the equation. (Enter your answers as a comma-separated list.)
6 sin2(x) = 3
Answer:
(15°, 165°)
Step-by-step explanation:
Given the equation 6 sin2(x) = 3, we are to find the value of x that satisfies the equation in the interval [0, 2π]
Given
6 sin2(x) = 3,
Divide both sides by 6
6 sin2(x)/6 = 3/6
sin2(x) = 1/2
2x = sin^-1(0.5)
2x = 30°
x = 30°/2
x = 15°
Since sin is positive in the second quadrant, x2 = 180-15
x = 165°
Hence the values within the interval are 15 and 165.
(15°, 165°)
if greg works 20 hours how much will he make
Answer:
?
Step-by-step explanation:
You need to know how much how much he makes per hour.
What is the cube root of 512m^12n^15?
-16m^4n^5
-8m^5n^4
8m^4n^5
16m^5n^4
Answer: 8m ^ 4n ^ 5
Can anyone help me ??
Answer:
16
Step-by-step explanation:
2 times 2 = 4 times 4= 16 times 1= 16
Answer:
16
Step-by-step explanation:
i will give brainly if you find x (no silly answers pls)
Answer:
Maybe 3 because 2*9=x+15
So 18=x+15
So x=3
Am not sure
Answer:
3 because 2*9=x+15
So 18=x+15
So x=3
Step-by-step explanation:
qhat is 4c - 11 - 5c + 17 what are the coefficients
Answer:
4 and 5
Step-by-step explanation:
4 and 5 are the co efficients of c
Hello please help I will give brainliest!
Answer:
letter C.
Step-by-step explanation:
because the answer is 65
please answer the image below
Answer:
Rectangle = l * b = 14 *10
Semi Circle = ( pi * r^2 ) /2
here, diameter of circle is 10 so radius = 5
so area of semicircle = ( pi * 5^2)/2 = 39.26991
so total area = 140 + 36.26991 = 176.26991 or 176.3
Step-by-step explanation:
Step-by-step explanation:
area of the shape = area of rectangle + area of semicircle
area of rectangle = l×b
10×14 =140
area of semicircle
r =d/2
r=10/2=5
[tex] \frac{\pi \times {r}^{2} }{2} [/tex]
[tex] (\frac{22}{7 } \times {5}^{2}) \div 2[/tex]
[tex]78.5 \div 2[/tex]
=32.29
total area = 140+32.29
170.29
170.3
An investor invested a total of $2,100 in two mutual funds. One fund earned a 5% profit while the other earned a 3% profit. If the investor’s total profit was $83, how much was invested in each mutual fund?
The amount invested in the mutual fund that earned 5% was $___.
The amount invested in the mutual fund that earned 3% was $___.
Answer:
The amount invested in the mutual fund that earned 5% was $1000.
The amount invested in the mutual fund that earned 3% was $1100.
Step-by-step explanation:
Let the amount invested in the mutual fund that was earned 5% be x and the amount invested in the mutual fund that earned 3% be y.
Statement 1: [tex]\frac{5}{100}[/tex]X+[tex]\frac{3}{100}[/tex]y = 83
Statement 2: x+y = 2100
I'll use the elimination method:
Statement 1 × 20: x+[tex]\frac{60}{100}[/tex]y = 1660
Minus Statement 1 × 20 from Statement 2: x+y-x-[tex]\frac{60}{100}[/tex]y = 2100-1660
[tex]\frac{40}{100}[/tex]y = 440
y = [tex]\frac{100}{40}[/tex]×440
= 1100
x = 2100-1100
= 1000
Mr. Lyons is laying tile for the rectangular floor of a hotel lobby.
The floor will be 38 tiles wide and 112 tiles long. He has a total of 4,400 tiles.
Which explains whether or not he has enough tiles for the entire floor?
Answer:
yes
Step-by-step explanation:
you find the area by multiplying 38 X 112= 4,256
4,400 - 4,256= 144 left over
A parent volunteer group is raising money by making custom hats to sell at
school activities. They plan to sell the hats for $12. Each hat costs $6 to
make. They spent $50 for advertising.
Use n to represent the number of hats they sell. Multiply this by the money
they make for each hat, then subtract the advertising cost.
Which expression represents the money that the group raises?
A. 12n - 6 - 50
O B. 50 - (12 – 6) n
O C. (12 - 6)n - 50
O D. 12 - 6n - 50
Answer:
B
Step-by-step explanation:
The answer is B because you minus 50 from 12 and 6.
helppppp me please .
Answer:
stuff
Step-by-step explanation:
180-72 = 108
a2 = 108º
a3 = 108
a4 = 72
a4+a6 = 180 so
a11+a13 + 180...
Lita's softball team wone 8 games last month and 10 this month. What was the percent change in games the team won?
1. Joanna is saving up for a new car. Her parents said that once she has $1000 saved up, they would help her
buy the car. Joanna has saved $300 in her bank account and $100 from her birthday money. She started
babysitting earning $10 per hour. How many hours of babysitting will she need to complete, so that her
parents will help buy her car.
9514 1404 393
Answer:
60 hours
Step-by-step explanation:
We want Joanna's total savings to be ...
bank account + gift + earnings = 1000
300 +100 +10h = 1000
10h = 600 . . . . subtract 400
h = 60 . . . . . . . .divide by 10
Joanna needs to babysit for 60 hours to earn the money she needs.
Out of 65 players, 11 play basketball only, 11 play both basketball and cricket. The
players who play cricket is twice the number of players who play basketball. By using
diagram find the number of players who play cricket only and who don't play both the game
Answer:
22
Step-by-step explanation:
you see that there are 11 basketball players. So that means you need to multiply 11 and 2 which equals 22.
Which is the best estimate for the amount of grass in the lawn?
Answer:
What the question? I'm confused.
Answer:
what?????
Step-by-step explanation:
(8p + 3w)2=
Cual es el resultado de Esta operacion
Answer:
18p + 6w
Step-by-step explanation:
I don't speak Spanish so here is some way I can explain it
No hablo español, así que aquí hay una forma de explicarlo.
using distribute property, get 2(8p) + 2(3w) = 18p + 6w
Answer:
[tex]16p + 6w[/tex]
STEP BY STEP
(8P+3W)2
=(8P+3W)(2)
=(8P)(2)+(3W)(2)
=16P+6W
solve this question 15+18/4
Answer:
the answer is
Step-by-step explanation:
15+8/4=8
15+8=32
32÷4=8
Answer:
15+18/4=8.25
Step-by-step explanation:
if u divide 33 by 4
A used bookstore sells hardback books and paperback books. A hardback book costs $11, including tax. A paperback book costs $5, including tax. Jamal bought 3 more paperback books than hardback books. Jamal spent $47. How many paperback books did Jamal buy?
Answer:
5 paperback books
Step-by-step explanation:
From the question:
A used bookstore sells hardback books and paperback books. A hardback book costs $11, including tax. A paperback book costs $5, including tax. Jamal spent $47.
Let the number of paper backs = p
Let the number rod hardbacks = h
Hence:
$11 × h + $5 × p = $47
11h + 5p = 47
Jamal bought 3 more paperback books than hardback books.
h + 3 = p
h = p - 3
How many paperback books did Jamal buy?
Hence:
11h + 5p = 47
11(p - 3) + 5p = 47
11p - 33 + 5p = 47
16p = 47 + 33
16p = 80
p = 80/16
p = 5
Hence, he bought 5 paper back books
2r + 1+(4R)+7 as an equivalent expression
Answer
6r+8
Step-by-step explanation:
2r+1+r+r+r+r+7
= 6r+8
I’m terrible at percents so ...... if anybody can help that would be nice :))
Answer:
There are 625 trees in the park.
Step-by-step explanation:
Assume that there are x trees in the park
∵ The number of trees in the park = x
∵ 27% of them are oaks
∵ 16% are pins
∵ 33% of them are banyans
∵ The remaining are willows
→ The percentage of the total number of trees is 100%
∴ The percent of the remaining = 100% - (27 + 16 + 33)%
∴ The percent of the remaining = 100% - 76%
∴ The percent of the remaining = 24%
∵ The number of willows trees = 150
∴ 24% of x = 150
∴ 24% × x = 150
→ Change the percent to a decimal by divide it by 100
∵ 24% = [tex]\frac{24}{100}[/tex] = 0.24
∴ 0.24 × x = 150
∴ 0.24x = 150
→ Divide both sides by 0.24
∴ x = 625
∴ There are 625 trees at the park.
A bicycle store costs $3600 per month to operate. The store pays an average of $80 per bike. The average selling price of each bicycle $120. How many bicycles must the store sell each month to break even?
The store must sell ____ bicycles each month to break even.
(Type a whole number)
Answer:
90 bikes.
Step-by-step explanation:
The bike store earns:
(120-80) = 40 dollars per bike sold.
Hence, to break even, the store must sell:
3600/40 = 90 bikes per month.
Hope this helped!
What is 12 equivalent tp
304,056 trying to represent the value of this number using expanded notation we give the answer but is giving us an error so we want to find out our error
Answer:
(3 * 100,000) + (0 * 10,000) + (4 * 1000) + (0 * 100) + (5 * 10) + (6 * 1)
Step-by-step explanation:
We want to represent the value of this number using expanded notation
Mathematically, that will be;
(3 * 100,000) + (0 * 10,000) + (4 * 1000) + (0 * 100) + (5 * 10) + (6 * 1)
= 300,000 + 0 + 4000 + 0 + 50 + 6
= 304,057
Plz help it would mean a lot
Answer:
643663
Step-by-step explanation:
b = d
this was very hard for me please help thanks.
Step-by-step explanation:
m<5 = 60 (<5 & 60deg < are vertical)
m<6 = 120 (<s 5 and 6 are a linear pair)
m<9 = 120 (<s 6 and 9 are vertical)
m<4 = 80 (<s 4 and 80 deg < are vertical)
m<7 = 100 (<7 and 80 deg < are linear pair)
m<10 = 100 (<s 7 and 10 are vertical <s)
m<8 = 60 (<s 5 and 8 are corresp <s)
m<3 = 80 (80 deg <3 are corresp <s)
m<2 = 40 (80 + 60 + m<2 = 180)
m<1 = 60 (<s 1 & 5 are alt int <s)
An artist mixes yellow and blue paint to make the perfect shade of green. She uses 2 ounces of blue paint for every 7 ounces of yellow.If the mixing container only holds 40 ounces of paint, what is the most green paint the artist can make, and what recipe should she use? 20 points please help me
Answer:
she could only make 4 of green paint