10 - 3 (z - 2) = 5z + 7
2 answers:
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Answer: 1)
2)
Step-by-step explanation:
1) Let the function that shows the thickness of the paper after n folds,
---------(1)
Since, According to the question,
Initially the thickness of the paper = 0.6
That is, at n = 0, t(0) = 0.6
By equation (1),
Hence the function that shows the given situation,
-----------(2)
Again when we fold the paper the thickness of the paper will be doubled.
Thus, at n = 1, t(1) = 1.2
By equation (2),
Thus, the complete function is,
2) Let the function that is passing through the points (-2, 2/5) and (-1,2),
---------(1)
For f(x) = 2, x = -1
By equation (1),
---------(2)
Also, For f(x) = 2/5, x = -2
Again, By equation (1),
By substituting this value in equation (2),
We get, a = 10
Hence, from equation (1), the function that is passing through the points (-2, 2/5) and (-1,2),
Answer: The test statistic needed to test this claim= 10.92
Step-by-step explanation:
We know that the probability of giving birth to a boy : p= 0.5
i..e The population proportion of giving birth to a boy = 0.5
As per given , we have
Null hypothesis :
Alternative hypothesis :
Since is right-tailed , so the hypothesis test is a right-tailed z-test.
Also, it is given that , the sample size : n= 291
Sample proportion:
Test statistic : , where n is sample size ,
is sample proportion and p is the population proportion.
i.e. the test statistic needed to test this claim= 10.92
Critical value ( one-tailed) for 0.01 significance level =
Decision : Since Test statistic value (10.92)> Critical value (2.326), so we reject the null hypothesis .
[When test statistic value is greater than the critical value , then we reject the null hypothesis.]
Thus , we concluded that we have enough evidence at 0.01 significance level to support the claim that the YSORT method is effective in increasing the likelihood that a baby will be a boy.