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My name is Ann [436]
3 years ago
6

The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater

maximum value, and provide the ordered pair.
Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15 Function 2 f(x) = −x2 + 2x − 3
Function 1 has the larger maximum at (1, 4).
Function 1 has the larger maximum at (4, 1). Function 2 has the larger maximum at (1, −2).
Function 2 has the larger maximum at (−2, 1).
Mathematics
1 answer:
Sergio039 [100]3 years ago
3 0

Answer:

A.) Function 1 has the larger maximum at (4, 1).

Step-by-step explanation:

No step-by-step explanation, nobody pays attention to them anyway.

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53, 64, 19, 25, 88, 48, 46<br>Mean:<br>Mode:<br>Median:<br>Range:<br>​
levacccp [35]

Answer:

Mean: 49

Mode: none, since all the numbers only appear once

Median: 48

Range: 69

Step-by-step explanation:

53+64+19+25+88+48+46 = 343

343/7= 49 (mean)

19, 25, 26, 48, 53, 64, 88 (middle number is 48, so the median is 48)

Range= largest number-smallest number

88-19= 69 (range)

7 0
3 years ago
Each day, Robin commutes to work by bike with probability 0.4 and by walking with probability 0.6. When biking to work injuries
kvasek [131]

Answer:

64.65% probability of at least one injury commuting to work in the next 20 years

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}&#10;

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Each day:

Bikes to work with probability 0.4.

If he bikes to work, 0.1 injuries per year.

Walks to work with probability 0.6.

If he walks to work, 0.02 injuries per year.

20 years.

So

\mu = 20*(0.4*0.1 + 0.6*0.02) = 1.04

Either he suffers no injuries, or he suffer at least one injury. The sum of the probabilities of these events is decimal 1. So

P(X = 0) + P(X \geq 1) = 1

We want P(X \geq 1). Then

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}&#10;

P(X = 0) = \frac{e^{-1.04}*1.04^{0}}{(0)!} = 0.3535&#10;

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.3535 = 0.6465

64.65% probability of at least one injury commuting to work in the next 20 years

3 0
3 years ago
there are 5 people at a party. each person must shake hands once with every other person at the party. how many handshakes does
Viefleur [7K]
Here's why: 

<span>Say the 5 people are A, B, C, D, E </span>

<span>A shakes hands w/ B C D E </span>
<span>B shakes w/ C D E </span>
<span>C with D E </span>
<span>D with E </span>

<span>That's 10</span>
3 0
3 years ago
I need help with these questions ( see image for question ).<br>Please show working.<br>​
antiseptic1488 [7]

Answer:

  • k = -4 ± 2√5

Step-by-step explanation:

#22

<h3>Given </h3>
  • Equation x² -4x + 1 = k(x - 4) with equal roots
<h3>To find</h3>
  • The value of k
<h3>Solution</h3>

<u>The equation in standard form is:</u>

  • x² -4x + 1 = k(x - 4)
  • x² - 4x - kx + 1 + 4 = 0
  • x² - (k + 4)x + 5 = 0

<u>When the quadratic equation has equal roots its discriminant is zero</u>

  • D = 0
  • b² - 4ac = 0
  • (k + 4)² - 4*5 = 0
  • (k + 4)² = 20
  • k + 4 = ± √20
  • k = - 4 ± √20
  • or
  • k = -4 ± 2√5
5 0
3 years ago
Express in simplest a+bi form: Square root of 1b + Square root of -1b
Nimfa-mama [501]

Express in simplest a+bi form: Square root of 1b + Square root of -1b

\sqrt{1b} + \sqrt{-1b}

Lets simplify \sqrt{-b}

We know \sqrt{-1} = i

\sqrt{-b} =i\sqrt{b)

We cannot simplify \sqrt{1b}

\sqrt{1b} + \sqrt{-1b}

\sqrt{1b} + i\sqrt{b}

So a + ib form is \sqrt{1b} + i\sqrt{b}


5 0
3 years ago
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