The distance could be calculated as follows:
d =
![\sqrt{ (5-2)^{2} + (-4-3)^2} }](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%285-2%29%5E%7B2%7D%20%20%2B%20%20%28-4-3%29%5E2%7D%20%20%7D)
d =
![\sqrt{ 3^{2} + (-7)^{2}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%203%5E%7B2%7D%20%2B%20%28-7%29%5E%7B2%7D%20)
d =
Answer:
x = -8
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 12 from both sides:
3x + 12 (-12) = -12 (-12)
3x = -12 - 12
3x = -24
Next, divide 3 from both sides:
(3x)/3 = (-24)/3
x = -24/3
x = -8
x = -8 is your answer.
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Answer:
Statement 1. P
Reason 1. Theorem: The measure of an external angle of a triangle is equal to the sum of the measures of the remote interior angles.
Statement 2. 132 = 3x + 54
Statement 3. x = 26
Answer: a) Unimodal and symmetric
b) 0.26
c) 0.038
Step-by-step explanation:
Given: Sample size of investors (n)= 131
True proportion of smartphone users(p) =26%
a) Since sampling distribution for the sample proportion is approximately normal when n is larger.
Normal distribution is Unimodal and symmetric.
So correct option : Unimodal and symmetric
b) mean of this sampling distribution = p = 0.26
c) standard deviation of the samplingdistribution = ![\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.26\times (1-0.26)}{131}}=\sqrt{0.00146870229008}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%3D%5Csqrt%7B%5Cdfrac%7B0.26%5Ctimes%20%281-0.26%29%7D%7B131%7D%7D%3D%5Csqrt%7B0.00146870229008%7D)
![=0.0383236518364\approx0.038](https://tex.z-dn.net/?f=%3D0.0383236518364%5Capprox0.038)
Answer:
112%
Step-by-step explanation:
The percentage of its capacity is calculated as
Number of people / Maximum Occupancy × 100%
Number of people = 84 people
Maximum Occupancy = 75 people
Hence:
84 people /75 people × 100
= 1.12 × 100
= 112%
Therefore, the percentage of its capacity that is 84 people is 112 %