Answer:
H=6 sin 30=3cm
Step-by-step explanation:
3²+x²=6²
X²=36-9
√x²= 27
X=5.1962
Per=6+5.1962+3= 15.1962cm
Answer:
The 80% confidence interval for the population proportion of disks which are defective is (0.059, 0.079).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
Suppose a sample of 1067 floppy disks is drawn. Of these disks, 74 were defective.
This means that
80% confidence level
So , z is the value of Z that has a pvalue of , so .
The lower limit of this interval is:
The upper limit of this interval is:
The 80% confidence interval for the population proportion of disks which are defective is (0.059, 0.079).
Answer:
y = - 5x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 5x + y = 4 into this form by subtracting 5x from both sides
y = - 5x + 4 ← in slope intercept form
with slope m = - 5
Parallel lines have equal slopes, thus
y = - 5x + c ← is the partial equation
To find c substitute (- 1, 4 ) into the partial equation
4 = 5 + c ⇒ c = 4 - 5 = - 1
y = - 5x - 1 ← equation of line
Answer:
<em><u>The</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em><em><u>is</u></em><em><u>,</u></em><em><u> </u></em><em><u>q</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>16</u></em><em><u>.</u></em>
Step-by-step explanation:
1) Divide both sides by 3.
2) Simplify 27/3 to 9.
3) Add 7 to both sides.
4) Simplify 9 + 7 to 16.
<em><u>Therefor</u></em><em><u>,</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>q</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>16</u></em><em><u>.</u></em>