Answer:
x = 37
Step-by-step explanation:
3y - 20 + x + 13 = 3x + 9
3y - 16 = 2x
1.5y - 8 = x
2y + 3x + 9 = 180
2y + 3x = 171
2y + 3(1.5y - 8) = 171
2y + 4.5y - 24 = 171
6.5y = 195
y = 30
1.5y - 8 = x
1.5 * 30 - 8 = x
45 - 8 = x
37 = x
1.
The description of set K as <span> {(x, y) | x - y = 5}, means the following:
the elements of set K are pairs (x,y)
such that: x-y=5, that is we can write(x, y) = (x, x-5).
2.
A set of (ordered) pairs is a function, if each of the first coordinates is paired to only 1 specific value, not 2 or more.
for example: {(1,2), (3, 5), (3, 8)} is not a function because 3 is not paired to only one second value, we have (3, 5) but also (3, 8).
whereas, {(-2, 4), (3, 5), (8.1, 17)} is a function, because each first coordinate is unique, we don't see it again in another pair.
3.
Back in our set K, the description of pairs (x,y) as </span>(x, x-5)
makes sure that each x, produces a specific y, for example in K we have:
(5, 0), and we cannot have (5, a value ≠0), because it would not fit the description (x, x-5)
Answer: yes
Answer:
12 is the answer
Step-by-step explanation:
The answers are as follows:
a) X denotes the number of the california residents that have adequate earthquake insurance
b) x = 1 ,2 ,3 ......
c) P( X=x ) = 0.3(1-0.3) ^ (x-1)
d) P( X=1) + P( X=2) + P( X=3) + P( X=4)
e) 0.49
f)0.42
g)0.33
<h3>What is probability?</h3>
It is a branch of mathematics that deals with the occurrence of a random event.
The complete question is
It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose we are interested in the number of California residents we must survey until we find a resident who does not have adequate earthquake supplies. a. In words, define the random variable X. b. List the values that Xmay take on. c. Give the distribution of X.X~ _____(_____,_____) d. WhatistheprobabilitythatwemustsurveyjustoneortworesidentsuntilwefindaCaliforniaresidentwhodoes not have adequate earthquake supplies? e. What is the probability that we must survey at least three California residents until we find a California resident who does not have adequate earthquake supplies? f. HowmanyCaliforniaresidentsdoyouexpecttoneedtosurveyuntilyoufindaCaliforniaresidentwhodoesnot have adequate earthquake supplies? g. How many California residents do you expect to need to survey until you find a California resident who does have adequate earthquake supplies?
given that 30% of California residents have adequate earthquake supplies.
a) variable X denotes the number of the california residents that have adequate earthquake insurance
b) x = 1 ,2 ,3 ......
c) p=0.3
P( X=x ) = 0.3(1-0.3) ^ (x-1)
d) P( X=1) + P( X=2) + P( X=3) + P( X=4)
= 0.3(1-0.3) ^ 0 + 0.3(1-0.3) ^1 + 0.3(1-0.3)^ 2 +...
e) P( X≥ 3) = 1- P(X<3)
= 1- (P(X=1) + (X=2))
= 1- 0.051
= 0.49.
f) E(X)= 1/P
p is the resident who does not have adequate earthquake supplies
p= 1-0.3
p = 0.7
E(X) = 1/0.7
= 0.42
g) E(X) = 1/q
= 1/0.3
= 3.333
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