Answer:
See below
Step-by-step explanation:
images attached showing all working
a) The possible values of X are as follows
X = {0,1,2,3,4}
P(x) = P(X=x)
b) The cdf in this case, as in the F(x), comes out to be a step function graph on the basis of values obtained from the probability mass function.
c) To find out the probability when more women are interviewed than me, add together the matrices from when value of X is equal to 2, 3 and 4 (from part a).
<h3>
Answer: 25w+200 > 750</h3>
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Explanation:
He starts off with 200 cards. Then he adds on 25w more cards for each week (w). Overall, he'll have 200+25w cards
We can think of it like this:
- After 1 week, he adds on 25*1 = 25 cards
- After 2 weeks, he adds on 25*2 = 50 cards total
- After 3 weeks, he adds on 25*3 = 75 cards total
- After 4 weeks, he adds on 25*4 = 100 cards total, and so on.
- After w weeks, he adds on 25w cards total
So that's another way to see where the 25w comes from.
The expression 200+25w is the same as 25w+200. This is because we can add two numbers in any order.
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Since he wants to know when he'll have more than 750 cards, this means we set 25w+200 greater than 750.
That's how we get to the answer of 25w+200 > 750
Notice how there isn't a line under the inequality sign. We aren't using the "greater than or equal to" symbol here. We want to know when the cards gets over 750, but we don't want to know when it's equal to 750.
Area of the larger square = 12² = 144 cm²
Area of the smaller square = 7² = 49 cm²
Area of the section = 144-49 = 95 cm²
Answer:
<h2>LCD = 9</h2>
Equivalent Fractions with the LCD
1/3 = 3/9
5/9 = 5/9
Solution:
Rewriting input as fractions if necessary:
1/3, 5/9
For the denominators (3, 9) the least common multiple (LCM) is 9.
LCM(3, 9)
Therefore, the least common denominator (LCD) is 9.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
1/3 = 1/3 × 3/3 = 3/9
5/9 = 5/9 × 1/1 = 5/9
