The graphs are exactly the same, EXCEPT that the graph of y=sqrt(x) has to be translated 3 units down to obtain the graph of y=sqrt(x)-3.
Gifts would account for 14% of the total budget $280.
0.14($280) = $39.20 for gifts alone
This is a binomial probability experiment. Each trial is independent of one another, ie each roll is independent. The probability of getting an even number is 3/6 = 1/2 = 0.5 and that probability does not change from roll to roll. Furthermore, the value of n is fixed and not infinitely large. Lastly, each trial outcome comes down to two choices: either you get an even number, or you don't. So we've met the requirements of a binomial probability distribution.
The values of n, p and q are:
- n = 30 = sample size
- p = 0.5 = probability of getting an even number
- q = 0.5 = probability of not getting an even number.
Answer:
Step-by-step explanation:
Given:
Find first terms:
In this arithmatic sequence, each next term is 1 less than the previous term.
The general explicit formula is
In your case,
Then
Minus 16x both sides and add 28 to both sides
x^2-16x+28=0
factor
hmm, what 2 numbers multiply to 28 and add to -16
hmm
1 and 28? nope
2 and 14? yep
since middle term is negative and last tem is positive, both of the factors are negative
(x-14)(x-2)=0
set each to zero
x-14=0
x=14
x-2=0
x=2
x=2 and 14
