<h3>
Answer: 8.323 (approximate)</h3>
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Explanation:
s = 32 = sample standard deviation
n = 40 = sample size
Despite not knowing the population standard deviation (sigma), we can still use the Z distribution because n > 30. When n is this large, the student T distribution is approximately the same (more or less) compared to the standard Z distribution. The Z distribution is nicer to work with.
At 90% confidence, the z critical value is roughly z = 1.645. This can be found using either a Z table or a calculator.
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We have these values:
- z = 1.645 (approximate)
- s = 32
- n = 40
Plug these values into the margin of error formula.
The margin of error is roughly 8.323
I rounded to 3 decimal places because z = 1.645 is rounded to 3 decimal places. If your teacher wants some other level of precision, then be sure to follow those instructions.
Answer:
20π ft
Step-by-step explanation:
Formula: C=2πr, where C is the circumference and r is the radius.
r=10 ft.
C=2*π*10
=20π ft.
Answer:
Step-by-step explanation:
We have to find the value of x from the given equation.
- x²-4=0 is a quadratic equation, so it will have two values.
Step: Write the equation in simplest form.
Step: Solve the problem by spiltting method.
Step: Solve the problem with using algebraic formula.
- x² - 2² = 0
- (x - 2)(x + 2) = 0
Step : We have used a²-b² to solve the problem.
- (x - 2)(x + 2) = 0
- (x - 2)(x + 2) = 0
- (x - 2)=0 or (x + 2) = 0
- x = 2 & - 2
Therefore, the possible values of x are 2 & - 2.
Answer with a Step-by-step explanation: We are given the table as:
x f(x)
0 6
2 7
4 0
7 5
i.e. corresponding to different values of x we are given the values of f(x)
we have to find the value of f(0)
i.e. we have to find the value of f(x) when x=0
As we can see from the table the value of f(x) at x=0 is 6
Hence, Correct option is:
C) 6
