What is the standard form of y=-4(x-1)^2+3
1 answer:
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Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife
Step-by-step explanation:
From the question we are told that
The first sample size is
The number that tested positive is
The second sample size is
The number that tested positive is
The level of significance is
Generally the first sample proportion is mathematically represented as
=>
=>
Generally the second sample proportion is mathematically represented as
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=>
The null hypothesis is
The alternative hypothesis is
Generally the test statistics is mathematically represented
=>
=>
From the z table the area under the normal curve to the right corresponding to 1.56 is
Generally the p-value is mathematically represented as
=>
=>
From the value obtained we see that hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife
Answer:
74.0°
Step-by-step explanation:
In triangle JKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°. Find all possible values of angle K, to the nearest 10th of a degree
Solution:
A triangle is a polygon with three sides and three angles. Types of triangles are right angled triangle, scalene triangle, equilateral triangle and isosceles triangle.
Given a triangle with angles A, B, C and the corresponding sides opposite to the angles as a, b, c. Sine rule states that for the triangle, the following holds:
In triangle JKL, k=4.1 cm, j=3.8 cm and angle J=63°.
Using sine rule, we can find ∠K: