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d1i1m1o1n [39]
3 years ago
10

The monthly electrical utility bills of all customers for the Far East Power and Light Company are known to be normally distribu

ted with mean equal to $87.00 a month and standard deviation of $36.00. If a statistical sample of n = 100 customers is selected at random, what is the probability that the average bill for those sampled will exceed $75.00? g
Mathematics
1 answer:
omeli [17]3 years ago
3 0

Answer:  0.9996

Step-by-step explanation:

Given : The monthly electrical utility bills of all customers for the Far East Power and Light Company are known to be normally distributed with  a mean \mu=$\ 87.00

Standard deviation : \sigma=$\ 36.00

Sample size : n=100

Let X be the random variable that represents the electricity utility bill for a randomly selected month .

z-score : z=\dfrac{X-\mu}{\dfrac{\sigma}{\sqrt{n}}}

For X = $75.00

z=\dfrac{75.00-87.00}{\dfrac{36}{\sqrt{100}}}\approx-3.33

Now, the probability that the average bill for those sampled will exceed $75.00 will be :-

P(X>75)=P(z>-3.33)=1-P(z\leq-3.33)\\\\=1-  0.0004342=0.9995658\approx0.9996

Hence, the probability that the average bill for those sampled will exceed $75.00 =0.9996

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Murljashka [212]
If Shelly is 3 years older than Michael and There 67. Michael is 64 and Shelly is 67. Or Michael is 67 and Shelly is 70.

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3 0
3 years ago
Please walk me through how to do this so I can di the other questions​
Naddik [55]

Answer:

Axis is a vertical line at x = 2

Vertex is (2, -1)

y-intercept is (0, 3)

Solutions are x = 1 and x = 3

Step-by-step explanation:

To draw the graph of the quadratic equation you must find at least 5 points lie on the graph by choose values of x and find their values of y

Let us do that

Use x = -1, 0, 1, 2, 3, 4, 5

∵ y = x² - 4x + 3

∵ x = -1

∴ y = (-1)² - 4(-1) + 3 = 1 + 4 + 3 = 8

→ Plot point (-1, 8)

∵ x = 0

∴ y = (0)² - 4(0) + 3 = 0 + 0 + 3 = 3

→ Plot point (0, 3)

∵ x = 1

∴ y = (1)² - 4(1) + 3 = 1 - 4 + 3 = 0

→ Plot point (1, 0)

∵ x = 2

∴ y = (2)² - 4(2) + 3 = 4 - 8 + 3 = -1

→ Plot point (2, -1)

∵ x = 3

∴ y = (3)² - 4(3) + 3 = 9 - 12 + 3 = 0

→ Plot point (3, 0)

∵ x = 4

∴ y = (4)² - 4(4) + 3 = 16 - 16 + 3 = 3

→ Plot point (4, 3)

∵ x = 5

∴ y = (5)² - 4(5) + 3 = 25 - 20 + 3 = 8

→ Plot point (5, 8)

→ Join all the points to form the parabola

From the graph

∵ The axis of symmetry is the vertical line passes through the vertex point

∵ x-coordinate of the vertex point is 2

∴ Axis is a vertical line at x = 2

∵ The coordinates of the vertex point of the parabola are (2, -1)

∴ Vertex is (2, -1)

∵ The parabola intersects the y-axis at point (0, 3)

∴ y-intercept is (0, 3)

∵ x² - 4x + 3 = 0

∵ The solutions of the equation are the values of x at y = 0

→ That means the intersection points of the parabola and the x-axis

∵ The parabola intersects the x-axis at points (1, 0) and (3, 0)

∴ Solutions are x = 1 and x = 3

3 0
3 years ago
Please answer!!!!!!
Crazy boy [7]

Answer:

(this isnt a mathematics question, it's science, btw)

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Because you get one allele from each parent, to make up 2 alleles per offspring.

Hope that helps!

4 0
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On what do you need help
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A study was done on the batting averages for two baseball players: Hitmore and Bunter. Data were collected over a period of time
amm1812

Answer:

Both (B) and (C) are correct

Step-by-step explanation:

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