9514 1404 393
Answer:
(3) y = (x -3)²
Step-by-step explanation:
Try the first value of x in each function:
(1) y = 3² -3 ≠ 0
(2) y = (3 +3)² ≠ 0
(3) y = (3 -3)² = 0 . . . . . . matches the table value for f(3)
(4) y = 3² +3 ≠ 0
__
The only viable choice is (3).
A company makes muesli which contains nuts and sultanas.
They counted the number of nuts in 50 individual serving packets.
They drew this table.
Number of nuts
Number of
Midpoint (x)
packets (0)
fx
4-6
5
3
15
7-9
8
9
72
10 - 12
11
12
132
13 - 15
14
17
238
16 - 18
17
9
153
50
610
a) Complete the table.
b) Calculate an estimate for the mean.
A company makes muesli which contains nuts and sultanas.
They counted the number of nuts in 50 individual serving packets.
They drew a table.
Number Midpoint Number of
of nuts (x) packets (f) f.x
4 - 6 5 3 15
7-9 8 9
10 - 12 11 12
13 - 15 14 17
16 - 18 17 9
50
To Find :
complete the table
calculate and estimate for the mean
The estimate for the mean number of nuts in a serving packet of muesli is approximately 12.2 nuts.
a) To complete the table, we need to find the values of "fx" (frequency multiplied by the midpoint) for each class interval. Here's the updated table:
Number of Nuts Number of Packets Midpoint (x) fx
4-6 5 5 5 * 3 = 15
7-9 8 8 8 * 9 = 72
10 - 12 11 11 11 * 12 = 132
13 - 15 14 14 14 * 17 = 238
16 - 18 17 17 17 * 9 = 153
Total 50 610
b) To calculate an estimate for the mean, we use the formula:
Mean = Sum of (fx) / Total Number of Packets
Mean = 610 / 50
Mean ≈ 12.2
Therefore, the estimate for the mean number of nuts in a serving packet of muesli is approximately 12.2 nuts.
To know more about mean here
https://brainly.com/question/1136789
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On a map, 1 inch equals 15 miles. Two cities are 3 inches apart on the map. What is the actual distance between the cities?
Actual distance = distance on map x the scale:
3 inches x 15 miles per inch = 45 actual miles.
3. The dollar amount d that Megan earns varies directly with the number of
hours h that she works. In her last paycheck, she earned $148.50 working
18 hours. If her next paycheck is $107.25, how many hours did she work?
Answer:
13 hours
Step-by-step explanation:
148.5/18=8.25
107.25/8.25=13
A man is 32 years older than his son. Ten years ago he was three times as old as his son. find the present age of each?
a store bought an aquarium at a cost of $60 and marked it up 50%. Later on the store marked it down 30%. What was the discount price?
Answer:
$27
Step-by-step explanation:
0.50 * 60 = 30
60 + 30 = 90
0.30 * 90 = 27
What’s the answer??????
Answer:
50p
Step-by-step explanation:
you can add them all up together. 27+3+6+14=50!
hey need help with this quick question, thanks :)
Answer:
The answer is 2
Step-by-step explanation:
just subtract the powers of 10 and 8.
Area of a Parallelogram
Answer:
P=28
Step-by-step explanation:
a=bh
24= 12x
24 divided by 12=2
12 +2+12+2= 28
The first time Jane went to the fitness center she exercised for 20mins. She adds 10 mins to her exercise program every other day after that. how many days will it take Jane to build her exercise program every other day after that. how may days will it take Jane to build her exercise program up to an hour in length?
Answer:
9 days
Step-by-step explanation:
Day 1 20 min
Day 2 20 min
Day 3 30 min
Day 4 30min
Day 5 40 min
Day 6 40 min
Day 7 50 min
Day 8 50 min
Day 9 60 min
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
192
Step-by-step explanation:
8²+x²=16²
x=y
[tex]x = \sqrt{192} [/tex]
Pls help me with this.
At a sale, suits were sold for $72 each. This price was 45% of a suit's original price. How much did a suit originally cost?
Answer:
$160
Step-by-step explanation:
Let the original cost of suit be x
If the suits were sold for $72 each and this price was 45% of a suit's original price, then;
72 = 45% of x
72 = 0.45x
x = 72/0.45
x = 160
Hence the original price of the suit is $160
Answer:
160
Step-by-step explanation:
got it correct ig lol
[Help asap, will mark brainliest] In the figure, line a is parallel to line b.
Answer:
m <5 = 65°
m<8 = 115°
Step-by-step explanation:
m<2= m<5 = 65° (vertically opposite angles are equal)
m<5 + m<4 = 180 (co-int angles, parallel lines)
65+ m<4 =180
m<4 = 115°
Therefore
m<4=m<8 = 115° (vertically opposite angles are equal)
Answer:
m<5 = 65 degrees m<8 = 115 degrees
Step-by-step explanation:
m<2 = 65 degrees
m<2 = m<5 so
m<5 = 65 degrees
A line is 180 degrees, so
180 degrees - 65 degrees = 115 degrees
m<8 = 115 degrees
which expression has the least value when x=100?
A.1/x
b.10/x
c.1-x
D 10-x
Answer:
C
Step-by-step explanation:
C will have the least value with -99.
A would be 1/100, which is 0.01, which is small, but larger than -99.
B would be 10/100, which is 0.1, which is larger than A.
C is 1-100, which equals -99.
D is 10-100, which equals -90. -99 is smaller than -90.
Answer:
c) 1 - x
Step-by-step explanation:
x = 100
a) [tex]\frac{1}{x}[/tex] ⇒ [tex]\frac{1}{100}[/tex]
answer ⇒ 0.01
b) [tex]\frac{10}{x}[/tex] ⇒ [tex]\frac{10}{100}[/tex]
answer ⇒ 0.10
c) 1 - x ⇒ 1 - 100
answer ⇒ -99
d) 10 - x ⇒ 10 - 100
answer ⇒ -90
A golf team's 6 members had the scores below in their most recent tournament: 70, 72, 74, 76, 78, 72 Find the median score.
Answer:
73.67
Step-by-step explanation:
Write a complete two-column proof for following information.
Given: AB = 3y - 1, BC = 7y, AC = 29
Prove: AB = 8
2 3/4 +1 1/4+3 1/2 
HELP!! ILL GIVE BRAINLIEST
Answer:
The answer is 90 degrees.
Step-by-step explanation:
If you want an explination, I'm more than happy to explain.
Answer:x=90
Step-by-step explanation:
90
Pls help i will give brainliest
Answer:
4:120, 6:180, 8:240
each time it's 30 x the amount of bags, it's 30 pounds a bag
Step-by-step explanation:
find the given questions
9514 1404 393
Answer:
next term: 15an = n(n+1)/2Step-by-step explanation:
Each term is the previous term with the current term number added. The 5th term will be 5 + (4th term) = 5 + 10 = 15.
The next term is 15.
_____
The sequence of triangular numbers is given by the explicit formula ...
an = n(n+1)/2
__
Finding the Formula
The sequence of first differences is ...
3 -1 = 2
6 -3 = 3
10 -6 = 4
And the sequence of second differences is ...
3 -2 = 1
4 -3 = 1
These are constant, indicating the sequence is described by a polynomial function of 2nd degree.
There are several ways to find the coefficients of the quadratic function. One is to solve for them using a system of equations.
n = 1
a1 = 1 = a(1)^2 +b(1) + c
n = 2
a2 = 3 = a(2)^2 + b(2) +c
n = 3
a3 = 6 = a(3)^2 +b(3) +c
To solve, we can subtract each equation from the next:
a2 -a1 = (3) -(1) = a(4 -1) +b(2 -1) +c(1 -1)
2 = 3a +b
and
a3 -a2 = (6) -(3) = a(9 -4) +b(3 -2) +c(1 -1)
3 = 5a +b
Now we can subtract the first of these equation from the second:
(3) -(2) = a(5 -3) +b(1 -1) ⇒ 1 = 2a ⇒ a = 1/2
Then ...
2 = 3(1/2) +b
1/2 = b
1 = a + b + c ⇒ 1 = 1/2 + 1/2 + c ⇒ c = 0
So, the quadratic function describing the sequence of triangular numbers is ...
an = (1/2)(n^2 +n)
an = n(n+1)/2
Write the word sentence as an inequality. Then solve the inequality.
The product of −2 and a number x is greater than 30.
Step-by-step explanation:
divide by 2 then reverse
What is the answer using substitution X+(x-178)=676
please help me solve this.
Answer:
X=7 X=-1
Step-by-step explanation:
4(x^2 -6x -7) you saw that the common denominator was 4 so you divided everything by it.
(X-7)(X+1) Two numbers that multiplied give-7 and added -6 are those
X=7 X=1 equating those parenthesis to 0 gives you that
Please help.
Algebra.
on Monday, 241 students went on a trip to the zoo. all 5 buses were filled and 6 students had to travel in cars. how many students were in each bus?
Answer: 47
Step-by-step explanation:
I just worked it out and checked my work with a calculator :)
What is the solution to the following system of linear equations?
Y=-31-9
2x + 3y = -13
A. (-3,-2)
B. (-3,0)
C. (2,3)
D. (-2,-3)
Answer:
x=107/2, y=-40. (107/2, -40).
Step-by-step explanation:
y=-31-9=-40
2x+3(-40)=-13
2x-120=-13
2x=-13+120
2x=107
x=107/2
Which expression is equivalent to 10f - 5f + 8 + 6g + 4? I’ll mark Brainliest :D
Answer:
The answer is 5f + 6g +12
Step-by-step explanation:
Answer:
5f + 6g +12
Step-by-step explanation:
Simplify the expression.
Find the distance between A and B
Answer:
27
Step-by-step explanation:
You can easily find it by counting how much line are between point and and point B
there are 27 lines (including the line on point B)
What is the length of AC
What is 591x37+125-16
Instant brainliest to HXH fans, proof if you name the 6 most important characters and the full name of the show
Answer:
Leorio, Gon, Killua, Kurapika, Hisoka, and Ging
Step-by-step explanation
Answer:
It's 21976 Gon! >:3
well- in my opinion i think its u, lol me killua, Leorio //side note: ofc the doctor//coOk kURAPIKA, HISOKA- //bUNGee gUM// i dont gaf about my brother illumi so the lost father //gINg// is it >:3
Step-by-step explanation:
:3