Answer:
D √58
Step-by-step explanation:
Draw lines from Points A and B to Point C at (8, 4).
∆ABC is a right triangle.
AC = x₂ - x₁
= 8 - 1
= 7
BC = y₂ - y₁
= 4 - 1
= 3
AB² = AC² + BC²
= 7² + 3²
= 49 + 9
= 58 Take the square root of each side
AB = √58
Answer:
72 runners
Step-by-step explanation:
Total runners = 360
20% of the total runners are in the 35-39 age bracket.
<em>We need to find number of runner in this age bracket.</em>
<em>Which tells us that this number is simply 20% of the total, or 20% of 360.</em>
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How to find percentage of number?
We convert percentage to decimal and then multiply it with the other number.
Converting percentage to decimal requires us to divide by 100. So:
20% = 20/100 = 0.2
Now,
0.2 * 360 = 72
Hence,
72 runners are in the 35-39 age bracket
X\6=12\9
multiply both sides by 6
x=12\9 x 6
x=8
Answer:
(1 - 2/5) shirts are left
x ≥ 200
Solution means that before 2/5 shirts were sold, there were 200 shirts.
Step-by-step explanation:
Given in the question the inequality
3/5x + 30 ≥ 150
Suppose number of shirts that were on display = x
A)
Explain what 3/5 means in the in equality
As stated in the question2/5 of the shirts are sold means
(1 - 2/5) shirts are left
3/5 = (1 - 2/5)
B)
3/5x + 30 ≥ 150
3/5x ≥ 150 - 30
3/5x ≥ 120
x ≥ 120 * (5/3)
x ≥ 200
C)
Solution means that before 2/5 shirts were sold, there were 200 shirts.
Answer: The sample mean and sample standard deviation is 74.004 millimeters and 0.005 millimeters respectively.
Step-by-step explanation:
The given values : 74.001, 74.003, 74.015, 74.000, 74.005, 74.002, 74.007, and 74.000.
The sample standard deviation is given by :-
Hence, the sample mean and sample standard deviation is 74.004 millimeters and 0.005 millimeters respectively.