Answer:
28
Step-by-step explanation:
because it's value increases by 28 every month
The variance of the binomial distribution of the number of households with landline service is 2.
<h3>What is the binomial probability distribution?</h3>
It is the probability of <u>exactly x successes on n repeated trials, with p probability</u> of a success on each trial.
The variance of the distribution is given by:
V(X) = np(1 - p)
In this problem, the parameters are given as follows:
n = 8, p = 0.504.
Hence the variance is given by:
V(X) = 8 x 0.504 x 0.496 = 2.
More can be learned about the binomial distribution at brainly.com/question/24863377
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Step-by-step explanation:
![\angle \: ABD = 30 \degree \\ and \\ \angle \:CBD = 60 \degree \\ are \: a \: pair \: of \: adjacent \: complementary \: \\ angles.](https://tex.z-dn.net/?f=%20%5Cangle%20%5C%3A%20ABD%20%3D%2030%20%5Cdegree%20%20%20%5C%5C%20and%20%5C%5C%20%20%5Cangle%20%5C%3ACBD%20%3D%2060%20%5Cdegree%20%5C%5C%20are%20%5C%3A%20a%20%5C%3A%20pair%20%5C%3A%20of%20%5C%3A%20adjacent%20%5C%3A%20complementary%20%5C%3A%20%5C%5C%20%20angles.)
Answer:
The other sides of triangles are 8.72 in and 8.72 in
Step-by-step explanation:
In a triangle ABC. Please find the attachment for figure.
![\angle A=70^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20A%3D70%5E%7B%5Ccirc%7D)
![\angle B=\angle C=55^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20B%3D%5Cangle%20C%3D55%5E%7B%5Ccirc%7D)
Side BC=a = 10 in
Using sine law of trigonometry,
![\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}](https://tex.z-dn.net/?f=%5Cdfrac%7Ba%7D%7B%5Csin%20A%7D%3D%5Cdfrac%7Bb%7D%7B%5Csin%20B%7D%3D%5Cdfrac%7Bc%7D%7B%5Csin%20C%7D)
Substitute the given value into formula.
![\dfrac{10}{\sin 70}=\dfrac{b}{\sin 55}=\dfrac{c}{\sin 55}](https://tex.z-dn.net/?f=%5Cdfrac%7B10%7D%7B%5Csin%2070%7D%3D%5Cdfrac%7Bb%7D%7B%5Csin%2055%7D%3D%5Cdfrac%7Bc%7D%7B%5Csin%2055%7D)
![\dfrac{10}{\sin 70}=\dfrac{b}{\sin 55}](https://tex.z-dn.net/?f=%5Cdfrac%7B10%7D%7B%5Csin%2070%7D%3D%5Cdfrac%7Bb%7D%7B%5Csin%2055%7D)
Cross multiply and we get
![b=\sin 55\times \dfrac{10}{\sin 70}](https://tex.z-dn.net/?f=b%3D%5Csin%2055%5Ctimes%20%5Cdfrac%7B10%7D%7B%5Csin%2070%7D)
in
It is a isosceles triangle. Therefore, b=c=8.72 in
Hence, The other sides of triangles are 8.72 in and 8.72 in
Step-by-step explanation:
To solve this problem, let's set up our equation to solve for x (time to travel 13 miles).
![\frac{65}{1} =\frac{13}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B65%7D%7B1%7D%20%3D%5Cfrac%7B13%7D%7Bx%7D)
We use this equation to find x. To solve, we divide 13 by 65 to get our answer.
13 ÷ 65 = 0.2
Our answer: 0.2 hours