Given the function f(x)=2|x+6|-4 for what values of x is f(x) =6
2 answers:
Answer:
x= -1 or x= -11
Step-by-step explanation:
Given : f(x)=2|x+6|-4
To Find : value of x
Solution :
Since we are given that f(x)=6
And f(x)=2|x+6|-4
⇒2|x+6|-4 =6
⇒2|x+6|=6+4
⇒2|x+6|=10
⇒
⇒
Now absolute mode : the absolute value or modulus |x| of a real number x is the non-negative value of x without regard to its sign. Namely, |x| = x for a positive x, |x| = −x for a negative x
⇒x+6=5 or x+6= -5
⇒x=5-6 or x= -5-6
⇒x= -1 or x= -11
Thus for x = -1 or x =-11 , f(x) =6
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Answer:
The most appropriate value of the critical value is 2.289.
Step-by-step explanation:
We are given that a researcher takes a random sample of 41 bulbs and determines that the mean consumption is 1.3 watts per hour with a standard deviation of 0.7.
We have to find that when constructing a 97% confidence interval, which would be the most appropriate value of the critical value.
Firstly, as we know that the test statistics that would be used here is t-test statistics because we don't know about the population standard deviation.
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Now, as we can see that in the t table the critical values for P = 1.5% are not given, so we will interpolate between P = 2.5% and P = 1%, i.e;
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Answer: 0.0158
Step-by-step explanation:
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According to the given information we have,
Sample size : n= 1000
Sample proportion:
The standard error for proportion is given by :-
[Rounded to the nearest four decimal places.]
Hence, the standard error for the confidence interval = 0.0158
Answer:
Step-by-step explanation:
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