Answer:
2x - 7y = -34.
Step-by-step explanation:
As the line we want is perpendicular to y= -7/2 x + 9 it's slope will be
-1 /(-7/2) = 2/7.
Now we find the point of intersection ofn the 2 given lines:
x + y = 10
3x - 4y = -12
Multiply the first equation by -3:
-3x - 3y = -30
Now add this last equation to the second one:
-7y = -42
y = 6
Plug y = 6 into the first equation:
x + 6 = 10
x = 4.
So the point of intersection is (4, 6) and the equation we want passes through this, so using the point-slope form of straight line we have:
y - 6 = 2/7(x - 4)
7y - 42 = 2(x - 4)
7y - 42 = 2x - 8
2x - 7y = -42 + 8
2x - 7y = -34
Answer:
Step-by-step explanation:
a)
p(d) - probability of a rivet being defective
p(r) - probability of seam needing to be reworked
The probability of the seem needing to be reworked is equal to the probability that ANY of 24 rivets is defective
Thus the probability that none of the 25 rivets is defective is 1-p(r)
p(r) = 16%, thus 1-p(r) = 84%
1-p(r) = (1-p(d))^24
0.84 = (1-p(d))^24
0.84^(1/24) = 1-p(d)
==> 1-p(d) = 0.9927615998
==> p(d) = 1-0.9927
==> p(d) = 0.0073
b) given p(r) = 8%, thus 1-p(r) = 92%
1-p(r) = (1-p(d))^24
0.92 = (1-p(d))^24
0.92^(1/24) = 1-p(d)
==> 1-p(d) = 0.99653179446
==> p(d) = 1-0.9965
==> p(d) = 0.0035
Answer:
B: $4.50
Step-by-step explanation:
Simply subtract 5.50 from 10
10-5.50=4.50
Hope this helps! Plz award Brainliest : )
Answer:
Step-by-step explanation:
The given data is
42 40 39 31 22 18 15 12 11.7 10.5
Range = 42 - 10.5 = 31.5
Mean = (42 + 40 + 39 + 31 + 22 + 18 + 15 + 12 + 11.7 + 10.5)/10 = 24.12
n = 10
Variance = Summation(x - mean)²/n
Summation(x - mean)² = (42 - 24.12)^2 + (40 - 24.12)^2 + (39 - 24.12)^2 + (31 - 24.12)^2 + (22 - 24.12)^2 + (18 - 24.12)^2 + (15 - 24.12)^2 + (12 - 24.12)^2 + (11.7 - 24.12)^2 + (10.5 - 24.12)^2 = 1452.396
Variance = 1452.396/10 = 145.2396
Standard deviation = √(summation(x - mean)²/n
Standard deviation = √(145.2396
Standard deviation = 12.1
The standard deviation of the sample is not a good estimate of the variation of the salaries of the TV personalities in general because
B. No, because the sample is not representative of the whole population.
