Answer:
- 8 3/4
- 2, 3
- 4 1/2, 11 1/4
- 9 3/4, 16 1/4
- Y/B = 2/3
Step-by-step explanation:
<h3>a)</h3>
The first line is simply the sum of the two given numbers.
3 1/2 +5 1/4 = (3+5) +(2/4+1/4) = 8 3/4
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To find values on the remaining lines, it is convenient to find the ratios of the numbers involved. The ratio of yellow to blue is ...
Y/B = (3 1/2)/(5 1/4) = (7/2)/(21/4) = (7/2)(4/21) = 2/3
Then ...
Y : B : total = 2 : 3 : 5
This tells you the numbers on the second line are ...
Y = 2; B = 3
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The value for B on the third line is the basic ratio number multiplied by (6 3/4)/3 = 2 1/4. Then the other two numbers are ...
Y = 2(2 1/4) = 4 1/2
total = 5(2 1/4) = 11 1/4
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The value for Y on the fourth line is the basic ratio number multiplied by (6 1/2)/2 = 3 1/4. Then the other two numbers are ...
B = 3(3 1/4) = 9 3/4
total = 5(3 1/4) = 16 1/4
_____
<h3>b)</h3>
The equation is the one we used to find the values on the second line:
Y/B = 2/3
Answer:
56.52mm
Step-by-step explanation:
Answer:
A. -2/7
Step-by-step explanation:
slope = rise/run = 2/(-7) = -2/7
Answer:
m = 8 Please brainliest!
Step-by-step explanation:
Simplifying
7m + -6m = 8
Combine like terms: 7m + -6m = 1m
1m = 8
Solving
1m = 8
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Divide each side by '1'.
m = 8
Simplifying
m = 8
Answer:
Yes, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66
Step-by-step explanation:
H0 : σ² = 2.66²
H1 : σ² < 2.66²
X²c = (n - 1)*s² ÷ σ²
sample size, n = 40
Sample standard deviation, s = 1.9
X²c = ((40 - 1) * 1.9²) ÷ 2.66²
X²c = 140.79 ÷ 7.0756
X²c = 19.897
Using a confidence level of 95%
Degree of freedom, df = n - 1 ; df = 40 - 1 = 39
The critical value using the chi distribution table is 25.6954
Comparing the test statistic with the critical value :
19.897 < 25.6954
Test statistic < Critical value ; Reject the Null
Hence, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66