Solve -2/3x > 8 or -2/3x < 4.
1 answer:
<h3>Answer: Choice C</h3>
{x | x < -12 or x > -6}
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Explanation:
Let's solve the first inequality for x.
(-2/3)x > 8
-2x > 8*3
-2x > 24
x < 24/(-2)
x < -12
The inequality sign flips when we divide both sides by a negative value.
Let's do the same for the second inequality.
(-2/3)x < 4
-2x < 4*3
-2x < 12
x > 12/(-2)
x > -6
The conclusion of each section is that x < -12 or x > -6 which points us to <u>choice C</u> as the final answer.
Side note: The intervals x < -12 and x > -6 do not overlap in any way. There's a gap between the two pieces. We consider these intervals to be disjoint. The number line graph is below.
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Answer:
The point estimate for p is 0.86.
Step-by-step explanation:
We are given that in a marketing survey, a random sample of 730 women shoppers revealed that 628 remained loyal to their favorite supermarket during the past year (i.e. did not switch stores).
Let p = <u><em>proportion of all women shoppers who remain loyal to their favorite supermarket</em></u>
Now, the point estimate for the population proportion (p) is represented by ;
Point estimate for p = =
where, X = Number of women shoppers who remained loyal to their favorite supermarket during the past year = 628
n = sample of women shoppers = 730
So, <u>point estimate for p</u> () =
= = <u>0.86</u>
Answer:
Options B and D.
Step-by-step explanation:
The general form of sine function
where, |A| is amplitude, is period,
is phase shift and D is y-intercept.
The general form of cosine function
where, |A| is amplitude, is period,
is phase shift and D is y-intercept.
In function,
Amplitude :
y-intercept : -1
In function,
Amplitude :
y-intercept : -1
In function,
Amplitude :
y-intercept : 0
In function,
Amplitude :
y-intercept : -1
Therefore, the correct options are B and D.
Answer:
L=36, W=12
Step-by-step explanation:
In the attached file
