Find the zeros of the polynomial function and state the multiplicity of each
1 answer:
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Answer:
a: 28 < µ < 34
Step-by-step explanation:
We need the mean, var, and standard deviation for the data set. See first attached photo for calculations for these...
We get a mean of 222/7 = 31.7143
and a sample standard deviation of: 4.3079
We can now construct our confidence interval. See the second attached photo for the construction steps.
They want a 90% confidence interval. Our sample size is 7, so since n < 30, we will use a t-score. Look up the value under the 10% area in 2 tails column, and degree of freedom is 6 (degree of freedom is always 1 less than sample size for confidence intervals when n < 30)
The t-value is: 1.943
We rounded down to the nearest person in the interval because we don't want to over estimate. It said 28.55, so more than 28 but not quite 29, so if we use 29 as the lower limit, we could over estimate. It's better to use 28 and underestimate a little when considering customer flow.
The statement about the line that passes through (-2, 0) and (2, -4) that are true are:
Option B:The line intersects the y-axis at (0, −2).
Option C: The equation of the line is y = −x − 2.
Option D: The line intersects the x-axis at (−2, 0).
<u>Solution:</u>
Given, two points are (-2, 0) and (2, -4)
We have to select the options that states true about line that passes through given two points.
Now, let us find the line equation that passes through given two points using point slope form.
Now slope "m" is given as:
Then, line equation = y – 0 = -1(x – (-2))
y = -1(x + 2)
y = -x – 2 --- equation 1
Now let us check options.
<u>Option a)</u> slope of line is 1
We know that slope of our line is -1 so this option is wrong.
<u>Option b)</u> line intersects y – axis at (0, -2)
When line meets y – axis x becomes 0 ⇒ 0 + y + 2 = 0 ⇒ y = -2 so point is (0, -2).
This option is right.
<u>Option c) </u>equation of line is y = -x – 2
The given equation is x + y + 2 = 0 ⇒ y = -x – 2 . so this option is correct.
<u>Option d) </u>line intersects at (-2, 0)
When line meets x – axis y becomes 0 ⇒ x + 0 + 2 = 0 ⇒ x = -2. So point is (-2, 0).
This option is right.
Hence, options b, c, d are correct.