Answer:
<h3>The answer is option C</h3>
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the question
y = - 1/2x + 5
Comparing with the general equation above
Slope / m = -1/2
Since the lines are perpendicular to each other the slope of the other line is the negative inverse of the original line
That's
Slope of the perpendicular line = 2
Equation of the line using point (–1, –2) and slope 2 is
y + 2 = 2( x + 1)
y + 2 = 2x + 2
y = 2x + 2 - 2
We have the final answer as
<h3>y = 2x</h3>
Hope this helps you
Answer:
-0.7
Step-by-step explanation:
-2n+1.8=3.2
-2n=3.2-1.8
-2n=1.4
n=1.4/-2
n=-0.7
Answer:
95% confidence interval for the mean number of months is between a lower limit of 6.67 months and an upper limit of 25.73 months.
Step-by-step explanation:
Confidence interval is given as mean +/- margin of error (E)
Data: 5, 15, 12, 22, 27
mean = (5+15+12+22+27)/5 = 81/5 = 16.2 months
sd = sqrt[((5-16.2)^2 + (15-16.2)^2 + (12-16.2)^2 + (22-16.2)^2 + (27-16.2)^2) ÷ 5] = sqrt(58.96) = 7.68 months
n = 5
degree of freedom = n-1 = 5-1 = 4
confidence level (C) = 95% = 0.95
significance level = 1 - C = 1 - 0.95 = 0.05 = 5%
critical value (t) corresponding to 4 degrees of freedom and 5% significance level is 2.776
E = t×sd/√n = 2.776×7.68/√5 = 9.53 months
Lower limit of mean = mean - E = 16.2 - 9.53 = 6.67 months
Upper limit of mean = mean + E = 16.2 + 9.53 = 25.73 months
95% confidence interval is (6.67, 25.73)
Answer:
B. (x-9)^2 + (y + 7)^2 = 4
Step-by-step explanation:
The standard form of a circle is (x-h)^2 + (y-k)^2 = r^2. Hopefully you can memorize that, because it's very helpful in these problems!
(h,k) is our center, and r is our radius, so plug those values into the standard form:
(x - 9)^2 + (y + 7)2 = 2^2
2^2 = 4, so
<u>B. (x - 9)^2 + (y + 7)2 = 4 is our answer!</u>
Answer:
3 quarts and 3 cups
Step-by-step explanation:
4 cups=1 quart
Capacity: 5x4+2=22 cups
Right now 1x4+3=7
22-7=15 cups
12/4 +3
3 quarts and 3 cups more
