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Serga [27]
2 years ago
12

Events A and B satisfy the conditions shown P (A)=0.3 P (B)=0.1 P (A and B)=0.03 What statement about the two events must be tru

e? A. If event A occurs, then event B must occur. B. If event A occurs, then event B cannot occur. C. If event A occurs, the probability of event B occurring changes. D. If event A occurs, the probability of event B occurring does not change.
Mathematics
1 answer:
Sliva [168]2 years ago
6 0

Answer:

D

Step-by-step explanation:

P(A)=0.3

P(B)=0.1

P(A)×P(B)=0.3×0.1=0.03

P(A and B)=P(A)×P(B)

They are independent.

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Find the quotient of (11 ^ 18)/(11 ^ 3)
astraxan [27]

Answer:

The first choice, 11^{15}.

Step-by-step explanation:

The numerator, 11^{18}, is equivalent to eighteen "11" multiplied together:

11^{18} = \underbrace{11 \times 11 \times 11 \times 11 \times \cdots \times 11 \times 11}_{\text{$18$ in total}}.

On the other hand, the denominator, 11^{3}, is equivalent to three "11" multiplied with one another:

11^{3} = 11 \times 11 \times 11.

Dividing 11^{18} by 11^{3} would eliminate three "11" from the numerator:

\begin{aligned}& \frac{11^{18}}{11^{3}} \\ =\; & \frac{(11 \times 11 \times 11) \times \overbrace{11 \times \cdots \times 11}^{\text{$(18 - 3)$ in total}}}{(11 \times 11 \times 11)} \\ =\; & \overbrace{11 \times \cdots \times 11}^{\text{$15$ in total}} \\ =\; & 11^{15}\end{aligned}.

In general, dividing an expression by y^{b} (y \ne 0) is equivalent to multiplying that expression by y^{-b}.

For example, in this question, dividing 11^{18} by 11^{3} would be equivalent to multiplying 11^{18}\! by 11^{-3}. In other words:

\begin{aligned}& \frac{11^{18}}{11^{3}} \\ =\; & 11^{18} \times 11^{-3} \\ =\; & 11^{18 - 3} \\ =\; & 11^{15}\end{aligned}.

6 0
2 years ago
A poll estimates that 47% of likely voters are in favor of additional restrictions on teenage drivers. The poll has a margin of
agasfer [191]

Answer:

5

Step-by-step explanation:

5 0
1 year ago
Estimate 61.68 - 48.225 by first rounding each number to the nearest whole number.
jarptica [38.1K]

Answer:

14

Step-by-step explanation:

61.68 = 62

48.225= 48

62-48= 14

4 0
3 years ago
Read 2 more answers
There are many campers at Camp Lots of Fun. This morning, 4 kids went home sick. Of the remaining campers, 18 kids went hiking a
erastovalidia [21]

Answer:

63

Step-by-step explanation:

You would add 41 + 18 + 4, which obviously gets you 63. Hope this helped!

8 0
3 years ago
a scuba diver is swimming at a depth of -15 feet. He dives down to an area that is 5 times this depth. What is the depth of his
Margaret [11]

Answer: The answer would be -75 feet

Step-by-step explanation: Since it starts with a negative 15 and you are diving down then you would just multiply -15*5

7 0
3 years ago
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