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vitfil [10]
3 years ago
13

Graph the quadratic functions y = -2x^2 and y = -2x^2 + 4 on a separate piece of paper. Using those graphs, compare and contrast

the shape and position of the graphs.
Mathematics
1 answer:
Lera25 [3.4K]3 years ago
4 0
Find attached the document with both graphs.

The remarks are:

- both graphs have the same shape: open downward, same symetry axis, same, x-coordinate of the vertex.

- the maximum value of -2x^2 is 0

- the maximum value of -2x^2 + 4 is 4

- the graph of y = -2x^2 + 4 is the graph -2x^2 shifted 4 units upward as consecuence of having summed 4 to the function.
Download pdf
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7x2-60x+32

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Equation at the end of step 1 :

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When an object moves in a circle the __________ of the object is continually changing. What is the missing word in this sentence
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The probability of rain on the last day of July is 95 % . If the probability remains constant for the first seven days of August
8090 [49]

The probability that it rains at most 2 days is 0.00005995233 and the variance is 0.516

<h3>The probability that it rains at most 2 days</h3>

The given parameters are:

  • Number of days, n = 7
  • Probability that it rains, p = 95%
  • Number of days it rains, x = 2 (at most)

The probability that it rains at most 2 days is represented as:

P(x ≤ 2) = P(0) + P(1) + P(2)

Each probability is calculated as:

P(x) = ^nC_x * p^x * (1 - p)^{n - x}

So, we have:

P(0) = ^7C_0 * (92\%)^0 * (1 - 92\%)^{7 - 0} = 0.00000002097

P(1) = ^7C_1 * (92\%)^1 * (1 - 92\%)^{7 - 1} = 0.00000168821

P(2) = ^7C_2 * (92\%)^2 * (1 - 92\%)^{7 - 2} = 0.00005824315

So, we have:

P(x ≤ 2) =0.00000002097 + 0.00000168821 + 0.00005824315

P(x ≤ 2) = 0.00005995233

Hence, the probability that it rains at most 2 days is 0.00005995233

<h3>The mean</h3>

This is calculated as:

Mean = np

So, we have:

Mean = 7 * 92%

Evaluate

Mean = 6.44

Hence, the mean is 6.44

<h3>The standard deviation</h3>

This is calculated as:

σ = √np(1 - p)

So, we have:

σ = √7 * 92%(1 - 92%)

Evaluate

σ = 0.718

Hence, the standard deviation is 0.718

<h3>The variance</h3>

We have:

σ = 0.718

Square both sides

σ² = 0.718²

Evaluate

σ² = 0.516

This represents the variance

Hence, the variance is 0.516

Read more about normal distribution at:

brainly.com/question/4079902

#SPJ1

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