All categories

2 years ago

Question 4

Mathematics

1 answer:

Ilia_Sergeevich [38]2 years ago

3 0

Answer:

Step-by-step explanation:

Given

See attachment for chart

Required

Number of off days

To do this, we simply calculate the expected value of the chart.

This is calculated as:

$E(x) = \sum x * f$

Where

x = days

f = chances

So, we have:

$E(x) = 0* 0.3 + 1 *0.2 + 2 * 0.25 + 3 * 0.2 + 4 * 0.02 + 5 * 0.01 + 6 * 0.01 + 7 * 0.01$

$E(x) = 1.56$

$E(x) \approx 2$

You might be interested in

Just Checking

Luda [366]

The answer is b because 95 confidence is interval for the mean lifespan

7 0

2 years ago

Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

fredd [130]

Answer:

Observe attached image

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

Axis of symmetry:

 $x =4$ 

Step-by-step explanation:

First factorize the function

$f (x) = -2x ^ 2 + 16x-30$

Take -2 as a common factor.

$-2(x ^ 2 -8x +15)$

Now factor the expression $x ^ 2 -8x +15$

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

$f (x) = -2(x-5)(x-3)$

The quadratic function cuts the x-axis at x = 3 and at x = 5.

Now we find the coordinates of the vertex.

For a function of the form $ax ^ 2 + bx + c$ the x coordinate of its vertex is:

$x = \frac{-b}{2a}$

In the function $f (x) = -2x ^ 2 + 16x-30$

$a = -2\\b = 16\\c = 30$

Then the vertice is:

$x = \frac{-16}{2(-2)}\\\\x = 4$

The y coordinate of the symmetry axis is

$y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2$

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

Then the axis of symmetry is the line

$x = 4$

The solutions and the vertice written as ordered pairs are:

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

6 0

2 years ago

What is th e best estimate for 5 1/9 - 1 5/6

valentinak56 [21]

5 1/9 - 5 5/6 is 3.27, if you want it rounded to the nearest whole number then that would by 3

have a nice day :)

3 0

3 years ago

5. Name three sets of supplementary angles. and and and

jarptica [38.1K]

87 and 93
45 and 135
74 and 106

8 0

2 years ago

Which of the following could be used to estimate the quotient?

notka56 [123]

The last one i think

5 0

2 years ago