Answer:
Option A) Bethany is correct because consecutive odd integers will each have a difference of two
Step-by-step explanation:
The sum of 3 consecutive odd integers is 91. Let the first odd integer is x. The next odd integer will be obtained by adding 2 in x i.e. (x + 2). The third odd integer will be obtained by adding 2 in the second odd integer i.e. (x + 2) + 2 = x + 4
So, the 3 odd integers will be:
x , (x+2) and (x+4)
Their sum is given to be 91. So we can write:
x + (x+2) + (x+4) = 91
Hence, we can conclude that: Bethany is correct because consecutive odd integers will each have a difference of two.
Other options are not correct because consecutive odd integers always increase by 2. For example, the next odd integer after 1 is 3, which is obtained by adding two, similarly the next odd will be 5 and so on.
C because each adult and youth times the money amount would be the total. So for instance 74(2)+35(2)=218 bc that's the total. Hope I helped.
The best prediction for the number of regular spectators that the program will have in 6 years is obtained with the following formula:
Pf = Po×(1-b) ^ t
Where:
Pf = final population
Po = initial population
b = decrease rate
t = timpo in years
So:
Pf = 223.00×(1-0.047) ^ 6
Pf = 167,056
The answer is the last option.
Considering the situation described, the null hypothesis is given as follows:
.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis, it is tested if the <u>mean is the same as in the Census</u>, of $64,000, hence:
.
At the alternative hypothesis, it is tested if the mean is different from the Census, hence:
.
More can be learned about hypothesis tests at brainly.com/question/13873630
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Answer:
The number is 8.
Step-by-step explanation:
If the positive number is x then:
x^2 = 5x + 24
x^2 - 5x - 24 = 0
(x - 8)(x + 3) = 0
x =8, -3 .
x is positive so the answer is 8.
