Answer:
(2b - 5) + b + (b + 80) = 983
Step-by-step explanation:
Given that,
Total score of three teams = 983
Since the teams' scores are given in reference to team B's score, let 'b' be the score of team B.
So,
The scores of Team A = (2 * b) - 5
The scores of Team B = b
The scores of Team C = (b + 80)
Thus,
The equation for determining the total points of Team B would be:
(2b - 5) + b + (b + 80) = 983
On solving,
(2b - 5) + b + (b + 80) = 983
⇒ 2b + b + b = 983 + 5 - 80
⇒ 4b = 908
⇒ b = 908 ÷ 4
⇒ b = 227
Team B's score = 227
Team A's score = (2 * 227 - 5)
= 449
Team C's score = 227 + 80
= 307
Total ⇒ 449 + 227 + 307 = 983
Hence proved.
<span>a1 = 3
an = a (n-1) +7</span>
Answer:
<em>H₀</em>: <em>μ</em>₁ = <em>μ</em>₂ vs, <em>Hₐ</em>: <em>μ</em>₁ > <em>μ</em>₂.
Step-by-step explanation:
A two-sample <em>z</em>-test can be performed to determine whether the claim made by the owner of pier 1 is correct or not.
It is provided that the weights of fish caught from pier 1 and pier 2 are normally distributed with equal population standard deviations.
The hypothesis to test whether the average weights of the fish in pier 1 is more than pier 2 is as follows:
<em>H₀</em>: The weights of fish in pier 1 is same as the weights of fish in pier 2, i.e. <em>μ</em>₁ = <em>μ</em>₂.
<em>Hₐ</em>: The weights of fish in pier 1 is greater than the weights of fish in pier 2, i.e. <em>μ</em>₁ > <em>μ</em>₂.
The significance level of the test is:
<em>α</em> = 0.05.
The test is defined as:
The decision rule for the test is:
If the <em>p</em>-value of the test is less than the significance level of 0.05 then the null hypothesis will be rejected and vice-versa.
Answer:
0.590
Step-by-step explanation:
Cumulative frequency = number of new cases during a particular period / number of individuals at risk = number of people down with salmonella / total number of people present =49 /83 = 0.590
Answer: B) The heights of girls who live on a certain street in the city of Buffalo
Every answer choice starts with "the heights of all 14-year-old girls who", so we can ignore that part. Choice A describes the largest population while choice B describes the smallest population. In other words, choice A is very general and broad, while choice B is very specific and narrow. The more specific you get and the smaller the population is, the less likely its going to be normally distributed.
