Subtracting 10x from the given equation gives
120 = 15x
Then dividing by 15 gives
8 = x
Zorah will have to play 8 hours in order to break even (cover her expenses exactly).
The simplified expression of 4x + 5xy - 2y is 4x(1 + y) + y(x - 2)
<h3>How to solve the expression?</h3>
The expression is given as:
4x + 5xy - 2y
The above expression cannot be solved.
However, the expression can be grouped
So, we have:
4x + 5xy - 2y
Rewrite 5xy as 4xy + xy
So, we have:
4x + 5xy - 2y = 4x + 4xy + xy - 2y
Factorize the expression
4x + 5xy - 2y = 4x(1 + y) + y(x - 2)
Hence, the simplified expression of 4x + 5xy - 2y is 4x(1 + y) + y(x - 2)
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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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Answer:
aₙ = 31n - 5
Step-by-step explanation:
The terms of your sequence are.
26, 57, 88, …
This is an arithmetic sequence, because there is a constant difference of 31 between consecutive terms.
The explicit formula for the nth term of an arithmetic sequence is
aₙ = a₁ + d(n - 1 )
a₁ is the first term, and d is the difference in value between consecutive terms. Thus,
aₙ = 26 + 31(n - 1) = 26 + 31n - 31
aₙ = 31n - 5
The explicit rule for the arithmetic sequence is aₙ = 31n - 5.
Answer:
<u>The correct answer is C. 9 -√ 105/ 2, 9 + √ 105/ 2</u>
Step-by-step explanation:
Let's find the solutions for the quadratic equation:
x² = 9x + 6
x² - 9x -6 = 0
Using the quadratic formula, we have:
x = [- (-9) +/- √ (-9)² - 4 * 1 * -6]/2 * 1
x = [ 9 +/- √ (81 + 24]/2
x = [ 9 +/- √ (105]/2
<u>x₁ = [ 9 + √ (105]/2</u>
<u>x₂ = [ 9 - √ (105]/2</u>
<u>The correct answer is C. 9 -√ 105/ 2, 9 + √ 105/ 2</u>
Note: Same answer to question 14133688, answered by me today.