Answer:
8, 9, 10
Step-by-step explanation:
three positive consecutive integers
x, x + 1, x + 2
the product of the smallest and the largest is 26 more than six times the middle integer
x(x + 2) = 6(x + 1) + 26
Expand
x^2 + 2x = 6x + 6 + 26
Combine like terms
x^2 + 2x = 6x + 32
Subtract 6x + 32 from both sides
x^2 - 4x - 32 = 0
Factor
(Alternately use the quadratic formula or complete the sqaure)
(x - 8)(x + 4)
x = {-4, 8}
-4 is extraneous because the integers must be positive
x = 8
x + 1 = 9
x + 2 = 10
8, 9, 10
Answer: t= 2.032
Step-by-step explanation:
Given : Sample size :
Sample mean :
Standard deviation :
Claim : The IQ scores of statistics professors are normally distributed, with a mean greater than 116.
Let be the mean scores of statistics professors.
Then the set of hypothesis for the given situation will be :-
As the alternative hypothesis is right tailed , thus the test would be right tail test.
Since the sample size is less than 30, therefore the test would be t-test .
The test statistics for the given situation will be :-
Hence, the value of the test statistic : t= 2.032
The answer is 1
Use the discramnt formula
Where a is 81, B is 18, and c is 1
We get
We then get 324-324=0
Which equal 0. Since the discramnt produce 0, the number of solution is one and repeated.
Answer:
151 notes
Step-by-step explanation:
$85/1=85 notes
125/5=25 notes
150/10=15 notes
420/20=21 notes
500/100=5 notes
85+25+15+21+5=151 notes total