T us assume the two numbers to be "x" and "y".
Then
2x + y = 310
And
x - y = 55
Let us take the second equation and find the value of x in relation to y.
x - y = 55
x = y + 55
Now let us put the value of x in the first equation, we get
2x + y = 310
2(y + 55) + y = 310
2y + 110 + y = 310
3y = 310 - 110
3y = 200
y = 200/3
= 66 2/3
Now putting the value of y in the second equation, we get
x - y = 55
x - (200/3) = 55
3x - 200 = 55 * 3
3x = 165 + 200
x = 365/3
= 121 2/3
So the value of x is 121 2/3 and the value of y is 66 2/3

3 0

3 years ago

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The probability distribution histogram shows the number of days a book is checked out of the library. What is P(9≤X<18)?

aleksley [76]

Answer:

$p(9\leq{X}\leq{18})=0.6$

Step-by-step explanation:

The probability distribution provides the probabilities of occurrence of different possible outcomes, in this case we want to know what is the probability that the variable X takes any value between 9 and 18.

The probability of occurrence is shown in the vertical axis of the graph. We want to know what is the probability of finding values of X between 9 and 18, then we should add up the probabilities between these two values , which means adding $P(9\leq{X}\leq {12})+P(12\leq{X}\leq {15})+P(15\leq{X}\leq {18}) = 0.15+0.30+0.15=0.6$

4 0

3 years ago