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2 years ago

12

When expressing sets, you may write "inf" for infinity and "U" for union.

1 answer:

GarryVolchara [31]2 years ago

3 0

Answer:

The complement of the given set in interval notation is $(-\infty,-5]\cup(6,\infty)$ . It can we written as (-inf,5]U(6,inf).

Step-by-step explanation:

The given set in interval notation is

(−5,6]

It means the set is defined as

$A=\{x|x\in R,-5$

If B is a set and U is a universal set, then complement of set B contains the elements of universal set but not the elements of set B.

Here, universal set is R, the set set of all real numbers.

$U=\{x|x\in R\}$

The complement of the given set is

$A^c=U-A$

$A^c=\{x|x\in R,-\infty$

Complement of the given set in interval notation is

$A^c=(-\infty,-5]\cup(6,\infty)$

Therefore the complement of the given set in interval notation is $(-\infty,-5]\cup(6,\infty)$ . It can we written as (-inf,5]U(6,inf).

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choose the equivalent system of linear equations that will produce the same solution as the one given below. 4x − 2y = 6 2x y =

Julli [10]

<span>4x − 2y = 6 . . . . . (1)
2x + y = 5 . . . . . (2)

(2) x 2 => 4x + 2y = 10 . . . . . (3)

(1) - (3) gives: -4y = -4
y = -4/-4 = 1

From (2), 2x + 1 = 5 => 2x = 5 -1 = 4
x = 4/2 = 2

Solution is (2, 1)

Substituting the solution into the options gives that
</span><span>−4x − 2y = 10
−4y = 4 −4x
has the same solution.
</span>

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2 years ago

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A motorist traveled to a distant city in 2 hours and returned by another route that is 30 miles long. On the return trip, she tr

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Answer:

180 miles

Step-by-step explanation:

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An experiment was done to look at the positive arousing effects of imagery on different people. A sample of statistics lecturers

statuscvo [17]

Answer:

The Three way mixed ANOVA

Step-by-step explanation:

The Three factor repeated measures ANOVA analysis otherwise referred to as the Three way mixed ANOVA should be used for the analysis.

This is because we are comparing three independent variables in the context.

• People type (statistic lectures and students)

• Imagery type (positive, neutral and negative imagery)

• Repeated measure: Before and After images shown

• Measuring the dependent variable positive arousal as shown in the table attached to the answer.

After going through the table attached you will see that there should be performed a three factor repeated measures ANOVA analysis.

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Based on a study from the Chronicles of Flippin'' Awesomeness, the probability that Napoleon and Pedro make it to their first pe

muminat

Answer:

15.25% probability that Napoleon and Pedro catch the bus and make it to their first period class on time

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this problem, we have that:

Event A: Both Napoleon and Pedro catch the bus, so P(A) = 0.25.

Event B: Making to their first period class on time.

However, the probability that they make it to their first period class on time, given that they catch the bus is 0.61.

This means that $P(B|A) = 0.61$

What is the probability that Napoleon and Pedro catch the bus and make it to their first period class on time

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

$0.61 = \frac{P(A \cap B)}{0.25}$

$P(A \cap B) = 0.61*0.25$

$P(A \cap B) = 0.1525$

15.25% probability that Napoleon and Pedro catch the bus and make it to their first period class on time

8 0

2 years ago