Answer:
The correct answer is ZXY
Step-by-step explanation:
hopr it helps
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Answer:
Step-by-step explanation:
Find the midpoint of each frequency range, multiply that number by the frequency, sum up and divide by the total frequency.
This will give the mean number.
<u>The mean is:</u>
- [17*( 3 + 3.5)/2 + 21*(3.5 + k)/2 + 33*(k + 4)/2 + 54*(4 + 4.5)/2 + 15*(4.5 + 6)/2]/140 = 4.09
- 55.25 + 10.5k + 36.75 + 16.5k + 66 + 229.5 + 78.75 = 140*4.09
- 17k + 466.25 = 572.6
- 17k = 572.6 - 466.25
- 17k = 106.35
- k = 106.35/17
- k = 6.26
Note, I expected the value of k between 3.5 and 4. This is a bit of illogical outcome.
80%. 32 / 40 is .8 Converting .8 to a percent makes it 80%
Answer:
There were 14 cartons of size 2 rackets and 24 cartons of size 3 rackets
Step-by-step explanation:
Assume that the number of cartons holding 2 rackets is x and the number of cartons holding 3 rackets is y
∵ There are x cartons of 2 rackets
∵ There are y cartons of 3 rackets
∵ They used 38 cartons
∴ x + y = 38 ⇒ (1)
∵ They packed a total of 100 rackets
∴ 2x + 3y = 100 ⇒ (2)
Let us solve the system of equations
→ Multiply equation (1) by -2 to make the coefficients of x in
the equations equal in values and different is signs
∵ -2(x) + -2(y) = -2(38)
∴ -2x - 2y = -76 ⇒ (3)
→ Add equations (2) and (3)
∴ y = 24
→ Substitute the value of y in equation (1) or (2) to find x
∵ x + 24 = 38
→ Subtract 24 from both sides
∴ x + 24 - 24 = 38 - 24
∴ x = 14
There were 14 cartons of size 2 rackets and 24 cartons of size 3 rackets