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3 years ago

Evaluate f3 + 11g - 4h when f = 3,9 = 2 and h = 7.

Mathematics

1 answer:

arsen [322]3 years ago

6 0

Answer:

Step-by-step explanation:

f = 3 , g = 2 , h = 7

3 * 3 + 11 * 2 - 4 * 7

9 + 22 - 28

31 - 28

= 3

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An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholde

n200080 [17]

Answer:

(a)

$\begin{array}{cccccc}x & {1} & {3} & {4} & {6} & {12} \ \\ P(x) & {0.30} & {0.10} & {0.05} & {0.15} & {0.40} \ \end{array}$

(b)

$P(3 \le x \le 6) = 0.30$

$P(4 \le x)=0.60$

Step-by-step explanation:

Given

$F(x) = \left[\begin{array}{ccc}0& x$

Solving (a): The pmf

This means that we list out the probability of each value of x.

To do this, we simply subtract the current probability value from the next.

So, we have:

$\begin{array}{cccccc}x & {1} & {3} & {4} & {6} & {12} \ \\ P(x) & {0.30} & {0.10} & {0.05} & {0.15} & {0.40} \ \end{array}$

The calculation is as follows:

$0.30 - 0 = 0.30$

$0.40 - 0.30 = 0.10$

$0.45 - 0.40 = 0.05$

$0.60 - 0.45 = 0.15$

$1 - 0.60 = 0.40$

The x values are gotten by considering where the equality sign is in each range.

$1 \le x < 3$ means $x = 1$

$3 \le x < 4$ means $x = 3$

$4 \le x < 6$ means $x=4$

$6 \le x < 12$ means $x = 6$

$12 \le x$ means $x = 12$

Solving (b):

$(i)\ P(3 \le x \le 6)$

This is calculated as:

$P(3 \le x \le 6) = F(6) - F(3-)$

From the given function

$F(6)= 0.60$

$F(3-) = F(1) = 0.30$

So:

$P(3 \le x \le 6) = 0.60 - 0.30$

$P(3 \le x \le 6) = 0.30$

$(ii)\ P(4 \le x)$

This is calculated as:

$P(4 \le x)=1 - F(4-)$

$P(4 \le x)=1 - F(3)$

$P(4 \le x)=1 - 0.40$

$P(4 \le x)=0.60$

8 0

3 years ago

In trapezoid ABCD, points M and N are arbitrary points on bases AB and CD respectively. Find the area of the trapezoid, if area

mel-nik [20]

Remark

This is quite a nice little problem. It takes a minute or three to figure out the answer, and when you do, you will be certain that you have been tricked. It is a little like the egg of Columbus.

Solution

The Base of Triangle ABN is AB

The Base of Triangle CDM is CD

The height of both given triangles is h. That is the distance between the two parallel lines.

Area ABN = 1/2*AB * h = 23 cm^2

Area CDM = 1/2*CD * h = 18 cm^2

Now the Area of the trapezoid is

Area_Trapezoid = 1/2 * h (AB + CD) Using the distributive property Remove the brackets.

Area_Trapezoid = 1/2*AB*h + 1/2*CD*h Did you notice something? Those terms are just the area of the triangles (written above.)

Area Trapezoid = 23 + 18 = 41 cm^2 <<<< Answer

6 0

3 years ago

42,300 multiply by 10 can someone show the work

Assoli18 [71]

10
x42,300
-------------
00
000
3,000
20,000
400,000
-------------
423,000

3 0

3 years ago

Read 2 more answers

Simplify the expression below: 2(5x - 3y)

Len [333]

Answer:

10x- 6y

Explanation:
Multiply the 2 with what’s inside the parentheses

8 0

3 years ago

What are the zeros of the function: f(x) = 2x^2-50

yan [13]

When f(x) = 0,

$2x^2 - 50 = 0$

$2(x^2 - 25) = 0$

$2(x- 5)(x + 5) = 0$

$(x - 5) = 0 \ or \ (x + 5) = 0$

$x = 5 \ or \ x = -5$

--------------------------------
Answer : x = 5 or -5
--------------------------------

3 0

3 years ago

Read 2 more answers