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Dmitrij [34]
2 years ago
15

The sum of two numbers is 25. The difference of the numbers is 7. Which of

Mathematics
1 answer:
Mrac [35]2 years ago
8 0

Answer:

the numbers are 16 and 9

so it is 16

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In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x)
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A

Step-by-step explanation:

6 0
3 years ago
Suppose P(A) = 0.9, P(B) = 0.3, and P(B|A) = 0.2. What is P(A|B) ?
Elenna [48]

By definition of conditional probability,

P(B\mid A)=\dfrac{P(B\cap A)}{P(A)}\implies P(B\cap A)=0.2\cdot0.9=0.18

Similarly,

P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}=\dfrac{0.18}{0.3}=0.6

6 0
3 years ago
List all the prime factor of 60
Karolina [17]

Answer: 2,3,5

Step-by-step explanation:

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7 0
2 years ago
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Please show me how you find x and determine what x is <br> Thank you I appreciate it :)
AfilCa [17]

well, let's notice something, we have two 45° angles, now each of those will give use an equal opposite side, namely if that one side is "x", the other is her twin, "x" as well.

is a right-triangle, so we can use the pythagorean theorem, and we know the sides are x,x,6.


\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies 6^2=x^2+x^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{6}\\ a=\stackrel{adjacent}{x}\\ b=\stackrel{opposite}{x}\\ \end{cases} \\\\\\ 36=2x^2\implies \cfrac{36}{2}=x^2\implies 18=x^2\implies \sqrt{18}=x\implies \sqrt{9\cdot 2}=x \\\\\\ \sqrt{3^2\cdot 2}=x\implies \boxed{3\sqrt{2}=x}

7 0
3 years ago
The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the proba
zlopas [31]

Answer:

The probability that there are 8 occurrences in ten minutes is

option B. 0 .0771

Step-by-step explanation:

Given:

Random Variable = x

Mean number of occurrences in ten minutes is 5.3.

The probability of an occurrence is the same in any two time periods of an equal length

To Find:

The probability that there are 8 occurrences in ten minutes  = ?

Solution:

Let X be the number of  occurrences of the event X

X \sim {Pois} (\lambda)

\lambda = E(X) = 5.3

Possion of distribution is given by ,

P(X=x) = \frac{e^{- \lambda} \lambda^{x}}{x!}

Substituting the values,

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P(X=8) = 0.0771

3 0
3 years ago
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