We can tell this is an isosceles triangle due to the sticks meaning the base angles are equal so the measurement of ACB would be the same as ABC so it would measure x
Answer:
see explanation
Step-by-step explanation:
If (x + 1) is a factor then f(- 1) = 0
f(- 1) = 19
+ 18(- 1) - 1 = 19 - 18 - 1 = 0
Thus (x + 1) is a factor of f(x)
Answer:
68%
Step-by-step explanation:
The Standard Deviation Rule = Empirical rule formula states that:
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
From the question,
Step 1
We have to find the number of Standard deviation from the mean. This is represented as x in the formula
μ = Mean = 61
σ = Standard Deviation = 8
For x = 53
μ - xσ
53 = 61 - 8x
8x = 61 - 53
8x = 8
x = 8/8
x = 1
For x = 69
μ + xσ
69 = 61 + 8x
8x = 69 - 61
8x = 8
x = 8/8
x = 1
This falls within 1 standard deviation of the mean where: 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
Therefore, according to the Standard Deviation Rule, the approximate percentage of daily phone calls numbering between 53 and 69 is 68%
Answer:
a = 15/2
Step-by-step explanation:
3a−15=4a−3a
Combine like terms
3a - 15 = a
Subtract 3a from each side
3a-3a−15=a−3a
-15 = -2a
Divide each side by -2
-15/-2 = -2a/-2
15/2 =a
