Can someone help me with this. Will Mark brainliest.

The difference of a rational number and a rational number is rational is what

Fynjy0 [20]

It is the same as what you had said and so a rational number is the same thing as a rational number and nothing changes.

5 0

4 years ago

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

Find the distance between the two given points. O(-3,-2) and P(-3,4)

aliina [53]

Answer:

$\boxed {\boxed {\sf d= 6}}$

Step-by-step explanation:

Distance can be found using this formula:

$d=\sqrt {(x_2-x_1)^2+(y_2-y_1)^2$

Where (x₁, y₁) and (x₂, y₂) are the points.

We are given the points O (-3, -2) and P(-3,4). Therefore,

$x_1= -3 \\y_1= -2 \\x_2= -3 \\y_2=4$

Substitute the values into the formula.

$d=\sqrt {(-3--3)^2+(4--2)^2$

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.

Solve inside the parentheses first.

(-3--3)= -3+3=0
(4--2)= 4+2=6

$d= \sqrt {(0)^2+ (6)^2}$

Solve the exponents.

(0)²= 0*0=0
(6)²= 6*6=36

$d=\sqrt {0+36$

Add.

$d= \sqrt {36$

Take the square root.

$d=6$

The distance is 6.

3 0

3 years ago

The Probable Cause Panel has met and has determined that there is probable cause. What will be the next step in the complaint pr

Serhud [2]

Answer:

After the Probable Cause Panel has met and has determined that there is probable cause. The next step in the complaint process is to initiate investigation.

Step-by-step explanation:

The Probable Cause Panel (PCP) is structured by two professionals and one board member or consumer member. They determine probable cause within 30 days.

The following scenarios if PCP determined there is probable cause is to start an investigative report of the department but the complainant may appeal the decision of the probable cause panel within sixty days of notification by providing additional information for consideration.

3 0

4 years ago

The sweater department ran a sale last week and sold 95% of the sweaters that were on sale. 38 sweaters were sold. How many swea

almond37 [142]

Answer: 40.

Step-by-step explanation:

Given : The sweater department ran a sale last week and sold 95% of the sweaters that were on sale.

95% can be written as 0.95 [ by dividing 100 ]

Also, the number of sweaters sold = 38

Let x be the number of sweaters were on sale.

Then , we have the following equation :_

$0.95x=38\\\\\Rightarrow\ x=\dfrac{38}{0.95}=\dfrac{3800}{95}=40$

Hence, 40 sweaters were on sale.

6 0

4 years ago