K=3yz solve for y algebra 1
1 answer:
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Answer:
The proportion of the population believes that passwords should be replaced with biometric security is not more than 50%.
Step-by-step explanation:
In this case we need to test the claim that more than half of the population believes that passwords should be replaced with biometric security.
Assume that the significance level of the test is, <em>α</em> = 0.05.
The hypothesis can be defined as follows:
<em>H</em>₀: The proportion of the population believes that passwords should be replaced with biometric security is 50%, i.e. <em>p</em> = 0.50.
<em>Hₐ</em>: The proportion of the population believes that passwords should be replaced with biometric security is more than 50%, i.e. <em>p</em> > 0.50.
The information provided is:
Compute the test statistic value as follows:
The test statistic value is 1.35.
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
Compute the p-value as follows:
<em>p</em>-value = 0.088 > <em>α</em> = 0.05.
The null hypothesis will not be rejected at 5% significance level.
Thus, there is not enough evidence to support the claim.
Conclusion:
The proportion of the population believes that passwords should be replaced with biometric security is not more than 50%.
Answer: The rule is explained.
Step-by-step explanation: As shown in the attached figure, ABCD is a parallelogram with vertices A(0,2), B(6,2), C(8,6) and D(2,6).
Suppose, we are to find the vertices of a parallelogram PQRS that is smaller than but similar to ABCD, then we can follow the following rule.
Let us consider a positive real number k. Then the new coordinates of smaller and similar parallelogram PQRS will be
Co-ordinates of P will be (k,2+k),
Co-ordinates of Q will be (6-k,2+k),
Co-ordinates of R will be (8-k,6-k)
and
co-ordinates of S will be (2+k,6-k).
Taking any positive real value of k, we will get a new, smaller parallelogram which will be similar to ABCD.
