In this item, we are not given with the choices for the ordered pair which could be the solution to the given equation. What can be done is to assume a value for one of the variables and solve for the other. To be able to find one that satisfies let x be equal to zero and substitute to the given equation.
-3(0) - 7y = 37
Simplifying,
-0 - 7y = 37
The value of y from the equation is 37/7. Thus, one of the ordered pairs that satisfies the equation is,
(0, 37/7)
If you divide 21/49 by 7 you get 3/7
Area = area of rectangle - area of 2 hemispheres
= 24 * 32 - pi * 12^2
= 315.6 sq units
Answer:
a) sample size is 40
Step-by-step explanation:
(a)
minutes
Margin of error, E is 75 seconds E=75/60= 1.25 minutes.
The level of significance
for 95% level of significance
For 95% confidence interval
from standard deviation table
Sample size required, n

Rounding off, n=40
Sample size =40
Keywords:
95% confidence, sample size, Wall Street Journal
Answer:
15.2 m
Step-by-step explanation:
You need to draw a figure. Start by drawing a horizontal segment approximately 10 cm long; that is the ground. Label the left end point A and the right endpoint B. On the right endpoint, B, go up a short 1 cm vertically. That is 1.5 m, the height of Zaheer. Label that point C. Now from that point draw a horizontal line that ends up above point A. Label that point D. Now go back to point C. Draw a segment up to the left at a 30 deg angle with CD. End the segment vertically above point D. Label that point E. That is the top of the flagpole. Draw a vertical segment down from point E through point D ending at point A. Segment AE is the flagpole. Go back to point C. Move 3 cm to the left on segment CD, and draw a point there and label it F. That is where Zaheer moved to. Now connect point F to point E. That is a 45-deg elevation to point E, the top of the flagpole.
m<EFD = 45 deg
m<EFC = 135 deg
m<FEC = 15 deg
m<ECD = 30 deg
We now use the law of sines to find EC
(sin 15)/10 = (sin 135)/EC
EC = 27.32
Because of the 30-60-90 triangle, ED = EC/2
ED = 13.66
Now we add the height of Zaheer to find AE.
13.66 + 1.5 = 15.16
Answer: 15.2 m