8x + 7y = 19
- 8x
7y = 19 - 8x
÷ 7
y = 2 5/7 - 8/7x
So if that line is perpendicular to the line you're looking for, then the gradient (x value/slope) is the negative reciprocal to the gradient you're looking for, which would then be 7/8. You are told it has a y intercept of -7, so your final answer is:
y = -7/8x - 7
Hope this helps!
Answer:
Step-by-step explanation:
A) From the stem-leaf plot, we see that out of 21 tunas, 5 have dangerous levels of copper since the levels go beyond 5.7 parts per million. The required proportion is 5/21=0.2381
B) Given the sample mean is {x}=4.77, sample standard deviation s=1.16 and the sample size is n=21.
Since the population standard deviation is not known, we use t-distribution.
So the 98% CI for mean is
4.77 ± t{1-0.02 /2,20} x 1.16/sqrt(21) = (4.13, 5.41)}
We are sure with 98% confidence the true copper level (in parts per million) lies in the interval (4.13, 5.41)
Step-by-step explanation:
Number of sides of the given polygon, n =5
Sum of interior angles =( n-2)180°
=( 5 - 2)180°
= 3*180°
= 540°
Missing angle, x = 540°- (100°+105°+110°+145°)
= 540°- 460°
= 80°
Cardio respiratory workouts contain such activities that help to test and improve ones body's ability to sustain dynamic exercise, using large muscle groups over time.
So, all the options - taking an aerobics class, jumping rope , using the stair-master at the gym all are good options for cardio-respiratory workout.
Hence, option D - all of the above is the answer.
Let the two numbers be x and y. The sum of x and y is 14 and the difference is 20. We can write a system of equations and solve:
Then substitute x back into one of the equations to find y:
So the two numbers are 17 and -3
