Use the disruptive property in order to multiply 5(b + 8)

Question 1 (1 point)

Gwar [14]

I think it’s C cuz I took this too

8 0

3 years ago

What is the product of 3x50x18x2? A:1,800 B:5,400 C:540 D:2,700

Delvig [45]

3 x 50 x 18 x 2

3 x 50 = 150

18 x 2 = 36

150 x 36 = 5400

B

8 0

3 years ago

Which of the following could be the equation of the function below?

Salsk061 [2.6K]

Answer:

Second option: y = 0.5cos(4*(x+pi/2)) - 2

Step-by-step explanation:

From the format of the figure, we can say that is a cosine function (starts in the maximum value and then goes down).

We can write a generic form of a cosine function:

y = a * cos(bx + c) + d

The period of this generic function is 2pi/b.

In this graph, as the cosine completes 2 periods when x = pi, we know that the period is pi/2, so we can find the value of b:

2pi/b = pi/2

b = 4

Then, the amplitude of the cosine function is 2 (goes from 1 to -1), and in this graph, the amplitude is 1 (goes from -1.5 to -2.5), so as we have half the amplitude, we have that a = 0.5

Now, to find d, we know that a cosine usually have a mean value of 0, and in this graph we see that the mean value is -2, so we have that c = -2.

The value of c represents a shift in the graph. In this case, we have a shift of zero from the original cosine, but as the period is pi/2, we can have any multiple value of pi/2 as a value of d (d = -pi/2, d = 0, d = pi/2, ...)

So the answer is the second option:

y = 0.5cos(4*(x+pi/2)) - 2

7 0

3 years ago

Read 2 more answers

According to national data, 5.1% of burglaries are cleared with arrests. A new detective is assigned to six different burglaries

blagie [28]

Answer:

26.95% probability that at least one of them is cleared with an arrest

Step-by-step explanation:

For each burglary, there are only two possible outcomes. Either it is cleared, or it is not. The probability of a burglary being cleared is independent of other burglaries. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

5.1% of burglaries are cleared with arrests.

This means that $p = 0.051$

A new detective is assigned to six different burglaries.

This means that $n = 6$

What is the probability that at least one of them is cleared with an arrest?

Either none are cleared, or at least one is. The sum of the probabilities of these events is 100% = 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$

Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{6,0}.(0.051)^{0}.(0.949)^{6} = 0.7305$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7305 = 0.2695$

26.95% probability that at least one of them is cleared with an arrest

8 0

3 years ago

What value of X is always

valentina_108 [34]

Answer:

Answer B

Step-by-step explanation:

Because (IQR) by 1.5 (a constant used to discern outliers). Add 1.5 x (IQR) to the third quartile. Any number greater than this is a suspected outlier. Subtract 1.5 x (IQR) from the first quartile.

5 0

3 years ago