Answer:
35
Step-by-step explanation:
both the sides are equal. triangles add up to 180. 180-110 is 70. because the 2 sides are equal, you need to do 70 divided by 2, which is 35:)
It will take him 21 weeks to have $1250 saved
Answer:
(b)$29.62
(c)$5.73
Step-by-step explanation:
Basic: Standard internet for everyday needs, at $24.95 per month.
Premium: Fast internet speeds for streaming video and downloading music, at $30.95 per month.
Ultra: Super-fast internet speeds for online gaming at $40.95 per month.
Let the number of customers on Ultra=x; therefore:
Number of Premium customers =2x
Number of Basic customers =3x
Total=x+2x+3x=6x
![P(Ultra)=\dfrac{x}{6x}=\dfrac{1}{6} \\P(Premium)=\dfrac{2x}{6x}=\dfrac{1}{3}\\P(Basic)=\dfrac{3x}{6x}=\dfrac{1}{2}](https://tex.z-dn.net/?f=P%28Ultra%29%3D%5Cdfrac%7Bx%7D%7B6x%7D%3D%5Cdfrac%7B1%7D%7B6%7D%20%20%5C%5CP%28Premium%29%3D%5Cdfrac%7B2x%7D%7B6x%7D%3D%5Cdfrac%7B1%7D%7B3%7D%5C%5CP%28Basic%29%3D%5Cdfrac%7B3x%7D%7B6x%7D%3D%5Cdfrac%7B1%7D%7B2%7D)
(a)X=Monthly fee paid by a randomly selected customer.
Therefore, the probability distribution of X is given as:
![\left|\begin{array}{c|c}X&P(X)\\---&---\\\$24.95&3/6\\\$30.95&2/6\\\$40.95&1/6\end{array}\right|](https://tex.z-dn.net/?f=%5Cleft%7C%5Cbegin%7Barray%7D%7Bc%7Cc%7DX%26P%28X%29%5C%5C---%26---%5C%5C%5C%2424.95%263%2F6%5C%5C%5C%2430.95%262%2F6%5C%5C%5C%2440.95%261%2F6%5Cend%7Barray%7D%5Cright%7C)
(b)Average Monthly Revenue per customer
Mean,
![\mu=(\$24.95 \times 3/6)+(\$30.95 \times 2/6)+(\$40.95 \times 1/6)\\=\$29.62](https://tex.z-dn.net/?f=%5Cmu%3D%28%5C%2424.95%20%5Ctimes%203%2F6%29%2B%28%5C%2430.95%20%5Ctimes%202%2F6%29%2B%28%5C%2440.95%20%5Ctimes%201%2F6%29%5C%5C%3D%5C%2429.62)
(c)Standard Deviation
![\left|\begin{array}{c|c|c|c|c}x&P(x)&x-\mu &(x-\mu)^2&(x-\mu)^2P(x)\\-----&-----&----&----&-----\\\$24.95&3/6&-4.67&21.8089&10.9045\\\$30.95&2/6&1.33&1.7689&0.5896\\\$40.95&1/6&11.33&128.3689&21.3948\\-----&-----&----&----&-----\\&&&&32.8889\end{array}\right|](https://tex.z-dn.net/?f=%5Cleft%7C%5Cbegin%7Barray%7D%7Bc%7Cc%7Cc%7Cc%7Cc%7Dx%26P%28x%29%26x-%5Cmu%20%26%28x-%5Cmu%29%5E2%26%28x-%5Cmu%29%5E2P%28x%29%5C%5C-----%26-----%26----%26----%26-----%5C%5C%5C%2424.95%263%2F6%26-4.67%2621.8089%2610.9045%5C%5C%5C%2430.95%262%2F6%261.33%261.7689%260.5896%5C%5C%5C%2440.95%261%2F6%2611.33%26128.3689%2621.3948%5C%5C-----%26-----%26----%26----%26-----%5C%5C%26%26%26%2632.8889%5Cend%7Barray%7D%5Cright%7C)
![\text{Standard Deviation}=\sqrt{(x-\mu)^2P(x)}\\=\sqrt{32.8889} \\ \sigma=\$5.73](https://tex.z-dn.net/?f=%5Ctext%7BStandard%20Deviation%7D%3D%5Csqrt%7B%28x-%5Cmu%29%5E2P%28x%29%7D%5C%5C%3D%5Csqrt%7B32.8889%7D%20%5C%5C%20%5Csigma%3D%5C%245.73)
800 is 10 times as much as 80
the answer is function i am 100% sure but just let me know what you get.