The three whites:
(30 choose 1) * (29 choose 1) * (28 choose 1) = 30 * 29 * 28
The two reds:
(20 choose 1) * (19 choose 1) = 20 * 19
So, The three whites + two reds = 30 * 29 * 28 + 20 * 19 = 24740
L= 3/4 ft
The side lengths quilt is:
Length- 4.5 ft
Breadth- 3 ft
Answer:
0.23
Step-by-step explanation:
Given the data:
____(x) __(y)__(x - m1) /s1 ___(y-m2) /s2
1 ___6 ___8__ - 0.2 _______0.625
2 __5 ___ 5__ - 0.7________ - 1.25
3 __9____6__ 1.3 ________ - 0.625
4__ 4____ 7__ - 1.2 ______ 0
5__ 8 ____9 _ 0.8 _______ 1.25
For English :
Mean score(m1) = 6.4
Standard deviation (s1) = 2.0
For Science :
Mean score (m2) = 7.0
Standard deviation (s2) = 1.6
n = number of observations = 5
Correlation Coefficient (r) :
r = 1/(n - 1) Σ[((X - m1) / s1) * ((Y - m2) /s2)]
(-0. 2 * 0.625) + (-0.7 * - 1.25) + (1.3 * - 0.625) + (-1.2 * 0) + (0.8 * 1.25) = 0.9375
r = 0.9375/(5-1)
= 0.234
= 0.23
The gradient of the function is constant s the independent variable (x) varies The graph passes through the origin. That is to say when x = 0, y = 0. Clearly A and D pass through the origin, and the gradient is constant because they are linear functions, so they are direct variations. The graph of 1/x does not have a constant gradient, so any stretch of this graph (to y = k/x for some constant k) will similarly not be direct variation. Indeed there is a special name for this function, inverse proportion/variation. It appears both B and C are inverse proportion, however if I interpret B as y = (2/5)x instead, it is actually linear. I believe the answer is C. Hope I helped!
Step-by-step explanation:
Let's translate the verbal language to algebraic language.
She rides to and from school 5 days per week, 6.25 miles each route => 5*2*6.25 miles = 62.5 miles.
She rides additioanly around the park 2.5 miles for each trip t => 2.5*t = 2.5t
Total miles of her rides per week: 62.5 miles + 2.5t
She wants to ride minimum 85 miles => 62.5 + 2.5t ≥ 85
Then, the situation is represented by this inequality:
2.5t + 62.5 ≥ 85
You can develop it and get to several equivalent inequalities, for example:
2.5t ≥ 85 - 62.5
2.5t ≥ 22.5
t ≥ 9
Any of the four forms are equivalent and a valid answer.
