Generate ordered pairs for each function for x=-2,-1,0,1,2

If a wage of 100% is increase by 15% what would be the new wage

IceJOKER [234]

Answer:

115%

Step-by-step explanation:

The normal wage is 100% and there was 15% increment

Which means that 100+15

It will give 115%

But in the case of having a specific value for the salary we will be able to solve further but we are not given the amount of the salary

So the final answer is 115%

I believe you understand

7 0

3 years ago

Suppose approximately 75% of all marketing personnel are extroverts, whereas about 70% of all computer programmers are introvert

Setler [38]

Answer:

$P(x \ge 5) = 1.000$ ---- At least 5 from marketing departments are extroverts

$P(x=15) = 0.013$ ---- All from marketing departments are extroverts

$P(x = 0) = 0.002$ ---------- None from computer programmers are introverts

Step-by-step explanation:

See comment for complete question

The question is an illustration of binomial probability where

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

$(a):\ P(x \ge 5)$

$n = 15$ --- marketing personnel

$p = 75\%$ --- proportion that are extroverts

Using the complement rule, we have:

$P(x \ge 5) = 1 - P(x < 5)$

So, we have:

$P(x < 5) =P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4)$

$P(x = 0) = ^{15}C_{0} * (75\%)^0 * (1 - 75\%)^{15 - 0} = 1 * 1 * (0.25)^{15} = 9.31 * 10^{-10}$

$P(x = 1) = ^{15}C_{1} * (75\%)^1 * (1 - 75\%)^{15 - 1} = 15* (0.75)^1 * (0.25)^{14} = 4.19 * 10^{-8}$

$P(x = 2) = ^{15}C_{2} * (75\%)^2 * (1 - 75\%)^{15 - 2} = 105* (0.75)^2 * (0.25)^{13} = 8.80 * 10^{-7}$

$P(x = 3) = ^{15}C_{3} * (75\%)^3 * (1 - 75\%)^{15 - 3} = 455* (0.75)^2 * (0.25)^{12} = 0.0000153$

$P(x = 4) = ^{15}C_{4} * (75\%)^4 * (1 - 75\%)^{15 - 4} = 1365 * (0.75)^4 * (0.25)^{11} = 0.000103$

So, we have:

$P(x < 5) = (9.31 * 10^{-10}) + (4.19 * 10^{-8}) + (8.80 * 10^{-7}) + 0.0000153 + 0.000103$

$P(x < 5) = 0.00011922283$

Recall that:

$P(x \ge 5) = 1 - P(x < 5)$

$P(x \ge 5) = 1 - 0.00011922283$

$P(x \ge 5) = 0.9998$

$P(x \ge 5) = 1.000$ --- approximated

$(b)\ P(x = 15)$

$n = 15$ --- marketing personnel

$p = 75\%$ --- proportion that are extroverts

So, we have:

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

$P(x=15) = ^{15}C_{15} * 0.75^{15} * (1 - 0.75)^{15-15}$

$P(x=15) = 1 * 0.75^{15} * (0.25)^{0$

$P(x=15) = 0.013$

$(c)\ P(x = 0)$

$n=5$ ---------- computer programmers

$p = 70\%$ --- proportion that are introverts

So, we have:

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

$P(x = 0) = ^{5}C_0 * (70\%)^0 * (1 - 70\%)^{5-0}$

$P(x = 0) = 1 * 1 * (0.30)^5$

$P(x = 0) = 0.002$

3 0

2 years ago

What is the slope of the line that passes through the points (8, -4)(8,−4) and (6, 2) ?(6,2)?

Art [367]

The slope is 2-2/6-6 which is zero . So the slope is no slope

6 0

2 years ago

Rhett is solving the quadratic equation zero equals X2 minus 2X -3 using the quadratic formula which shows the correct substitut

Alina [70]

X^2-2x -3 =0
a =1 b =-2 and c = -3

x = - (-2) +/- sqrt (-2)^2 - 4(1)(-3)
--------------------------------------
2(1)

x = + 2 +/- sqrt [(4) - 4(-3)]
-------------------------------
2

x = +2 +/- sqrt [4 + 12]
--------------------------
2
x = +2 +/- sqrt[16]
-------------------
2

x = +2 +/- (4)
-------------
2

x = 2 + 4 or 2 -4
------- ------
2 2

x = 6/2 or -2/2

x = 3 or x = -1

8 0

2 years ago

You are scheduling a new delivery route and you need to find out how long it would take a drive out to complete the route you st

larisa [96]

The delivery route took 4 hours and 15 minutes.

Because 9:50 + 4 hours is 1:50

1:50 + 15 minutes is 2:05

Hope this helps! Have a great rest of your day :)

7 0

2 years ago

Generate ordered pairs for each function for x=-2,-1,0,1,2​

Generate ordered pairs for each function for x=-2,-1,0,1,2