Answer:
Option D - Because the Z* was only a little bigger than the Zc, the test supports the null hypothesis and we conclude μ = 10
Step-by-step explanation:
In z-value problems, the normal practice is that If the calculated z-value is less than the critical z-value, we will reject the null hypothesis and accept the alternative hypothesis but if it's greater than the critical z-value, we will fail to reject the null hypothesis and say that the test was not statistically significant.
In this problem, the calculated z-value of -1.49 is greater than -1.645, so we will fail to reject the null hypothesis and say that the test was not statistically significant.
Thus, in this question, we fail to reject the null hypothesis because the calculated value of z was bigger the value of z_c.
Answer:
C.
Step-by-step explanation:
Because the vertical line is the line that is parallel to the y-axis,
(V) : x = 1...because it only passes through 1 and has a gradient of (0)
The horizontal line is the line that is parallel to the x-axis
(H) : y = 6...because it passes through 6 and has a gradient of 0
Answer:
9
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Answer:
C) 25
Step-by-step explanation:
First, solve for the height (red dotted line) using the Pythagorean theorem 9²+b²=15²
81+b²=225
b²=225-81
b²=12
Then set up a ratio.
x/12=9/15
simplify
x/12=3/5
cross-multiply
3x=60
x=20
This gives us the base. Now we can solve for x using the Pythagorean theorem again.
20²+15²=x²
400+225=x²
625=x²
√x²=√625
x=25
Answer:
x = -2
Step-by-step explanation:
Step 1: Substitute h(x) for -9
-9 = 4x - 1
Step 2: Solve for <em>x</em>
-8 = 4x
x = -2