A line plot shows the shape of the data, but not individual values.<br><br> true or false

For the given pair of events A and B, complete parts (a) and (b) below.

steposvetlana [31]

Answer:

(a) Option A. independent

(b) $P(A\ and\ B) = 0.0312$

Step-by-step explanation:

Two events A and B are considered dependent if the occurrence of one affects the probability of occurrence of another.

In this case, the events are independent because the birth of a girl or a boy does not affect the probability of obtaining a 1 by throwing a 16-sided die.

In the same way, throwing a die and obtaining the number 1 does not affect the probability that a baby is a girl or a boy.

When two events are independent then

$P(A\ and\ B) = P(A)*P(B)$

The probability that a baby is a girl is

$P(A) = 0.5$

The probability of obtaining a 1 when casting a 16-sided die is:

$P(B) = \frac{1}{16}$

Then:

$P(A\ and\ B) = 0.5 * \frac{1}{16}$

$P(A\ and\ B) = 0.0312$

5 0

3 years ago

I need help with number 13 please.

Tanzania [10]

1 and 3 they share a relationship of +2, 3 and 6 share x2, 5 and 8 share +3, 7 and 21 share x3

3 0

3 years ago

Robert run the 100 meter dash in 13.5. later he run same distance in 10.3 seconds. how many seconds less did it take him to run

leonid [27]

Answer:

3.2seconds

Step-by-step explanation:

Step one:

Robert run the 100 meter dash in 13.5 seconds

We are told that he later run same distance in 10.3 seconds

Required.

The time difference in the first dash and the second

Step two:

The first dash took 13.5 seconds

the second took 10.3 seconds

the difference = 13.5-10.3= 3.2seconds

3 0

2 years ago

Identify the monomial function described as odd or even, and indicate whether a is positive or negative.

Igoryamba

Answer:

Case 1: As x > 0 increases, f(x) increases. As x < 0 decreases, f(x) decreases.

It is an 'odd' function with 'positive' a.

Case 2: As x > 0 increases, f(x) decreases. As x < 0 decreases, f(x) decreases.

It is an 'even' function with 'negative' a.

Case 3: As x > 0 increases, f(x) increases. As x < 0 decreases, f(x) increases.

It is an 'even' function with 'positive' a.

Case 4: As x > 0 increases, f(x) decreases. As x < 0 decreases, f(x) increases.

It is an 'odd' function with 'negative' a.

Step-by-step explanation:

Let us consider a monomial function:

f(x) = axⁿ

Case 1:

As x > 0 increases, f(x) increases. As x < 0 decreases, f(x) decreases.

This happens only if a is 'positive' and n is 'odd'. So, it is an 'odd' function with 'positive' a.

Case 2:

As x > 0 increases, f(x) decreases. As x < 0 decreases, f(x) decreases.

This happens only if a is 'negative' and n is 'even'. So, it is an 'even' function with 'negative' a.

Case 3:

As x > 0 increases, f(x) increases. As x < 0 decreases, f(x) increases.

This happens only if a is 'positive' and n is 'even'. So, it is an 'even' function with 'positive' a.

Case 4:

As x > 0 increases, f(x) decreases. As x < 0 decreases, f(x) increases.

This happens only if a is 'negative' and n is 'odd'. So, it is an 'odd' function with 'negative' a.

Keywords: monomial function, odd function, even function

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jada earns $7 per hour mowing her neighbors' lawns. andre gets paid $5 per hour for the first hour of babysitting and $8 per hou

Harlamova29_29 [7]

jada 2 andre 3 hours

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A line plot shows the shape of the data, but not individual values. true or false