Answer:
-1/11
Step-by-step explanation:
The slope of a line when given two points is found by
m = (y2-y1)/(x2-x1)
= (3-2)/(-6-5)
=1/-11
= -1/11
Answer:
Step-by-step explanation:
we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = variable
µ = mean output
σ = standard deviation
From the information given,
µ = 14
σ = 3
1) P(x < 20)
For x = 20,
z = (20 - 14)/3 = 2
From the normal distribution table, the corresponding probability value is 0.98
% = 0.98 × 100 = 98%
2) P(11 ≤ x ≤ 17)
For x = 11,
z = (11 - 14)/3 = - 1
From the normal distribution table, the corresponding probability value is 0.16
For x = 17,
z = (17 - 14)/3 = 1
From the normal distribution table, the corresponding probability value is 0.84
P(11 ≤ x ≤ 17) = 0.84 - 0.16 = 0.68
% = 0.68 × 100 = 68%
3) P(x > 14) = 1 - P(x ≤ 14)
For x = 14,
z = (14 - 14)/3 = 0
From the normal distribution table, the corresponding probability value is 0.5
P(x > 14) = 1 - 0.5 = 0.5
% = 0.5 × 100 = 50%
4) P(5 ≤ x ≤ 17)
For x = 5,
z = (5 - 14)/3 = - 3
From the normal distribution table, the corresponding probability value is 0.00135
For x = 17,
z = (17 - 14)/3 = 1
From the normal distribution table, the corresponding probability value is 0.84
P(5 ≤ x ≤ 17) = 0.84 - 0.00135 = 0.839
% = 0.839 × 100 = 83.9%
By row, we have the number of students who like Ping Pong is 44 students and those who don't like Ping Pong is 56 students.
The number of students who like both Ping Pong and Dodgeball is 26 out of 44 students who like Ping Pong
Answer: 26/44 = 13/22
To determine the volume of a cylinder, you need to use the formula V = pi*r^2*h
To calculate the radius, all we have to do is divide the diameter by 2.
7.5/2 = 3.75
Now we can plug in the values.
V = 3.14 * 3.75 * 11 = 485.7 (This answer is rounded to the nearest tenth. Original answer: 485.71875)
Your answer is 485.7
If Chisaka does not space walks, the days she spend spacewalking are equal to zero. Since <span>S represents the number of days Chisaka spacewalks, we just need to replace </span>
in our inequality to find how long her food will last if she does not spacewalks:
From this calculation we can infer that the coefficient of N, 1.3, is the amount of food she needs per day if she doesn't spacewalks. Similarly the coefficient of S, 2.2, is the amount of food she need per day if she spacewalks.
We can conclude that Chisaka will need 1.3 kg of food if she doesn't spacewalks, and 2.2 kg of food if she spacewalks.
