Verify that the following function is a probability mass function, and determine the requested probabilities.
fx = (8/7(1/2)x
x = 0, 1, 2, ...
A. P(X = 2).
B. P(X ≤ 2).
C. P(X > 2).
D. P(X ≥ 1).
Is the function a probability mass function?

Answer:

Step-by-step explanation:

12 tickets

Answer:

6x - 24.

Step-by-step explanation:

Distributive Property is:

a(b + c)

= ab + ac

So  for  this expression

6(x - 4)

= 6*x + 6 * -4

= 6x - 24.

Answer:

373.43 rev/min

Step-by-step explanation:

Given data

r= 1.5ft

v=30 miles per 45 minutes

convert miles per hour to ft per minute

=30miles/45 minutes* 5280ft/1 mile

=158400/45 minutes

v=3520 feet per minute

so

v=wr

substitute

3520= w*1.5

w= 3520/1.5

w=2346.66 rad/min

Convert to rev/min

=2346.66 rad/min*1rev/2*π rad

=2346.66/2*3.142

=2346.66/6.284

=373.43 rev/min

Hence the answer is 373.43 rev/min

Answer:

sorry

Step-by-step explanation:

Answer:

y=15

∠P=113

∠Q=67

∠R=113

∠S=67

Step-by-step explanation:

10y-37+4y+7=180

14y=210

y=15

∠P=10(15)-37=113

∠Q=180-113=67

Answer:

25,200

Step-by-step explanation:

Increase in population per year =8%=((100+8)*10,000)/100=10,800. So,there will be an increment of 800 people to the population every year. =>after twenty years,the total population=10,000+19*(800)=25,200.

Answer:

10800

Step-by-step explanation:

10000+8%=10800

hope this helps:)

Answer: -z-65

Step-by-step explanation:

Answer:

wait so you have t

Step-by-step explanation:

Answer:

I AGREE

Step-by-step explanation:

Answer:

Step-by-step explanation:

circumference=2[tex]\pi[/tex]r

=2 x 22/7 x 7m

=44m

Answer:

B

Step-by-step explanation:

edg 2020

The factorised form of given function f(x) is (x + 2)(x +√3)(x-√3) which is correct answer would be option (B).

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

We have been given the polynomial function:

⇒ x³ + 2x² - 3x -6

Simplify the radical by breaking the radicand up into a product of known factors.

⇒ x³ + 2x² - 3x -6

Add and subtract the second term to the expression and factor by grouping.

⇒ x²(x + 2) - 3(x + 2)

⇒ (x + 2)(x² - 3)

⇒ (x + 2)(x +√3)(x-√3)

Therefore, the factorised form of given function f(x) is (x + 2)(x +√3)(x-√3).

Learn more about the polynomials here:

brainly.com/question/11536910

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The question seems to be incomplete the correct question would be

If a polynomial function is x³ + 2x² - 3x -6 find the factorized form which is f(x)

The polynomial function f(x) = ____.

ln(40) + 2ln(1/2) + ln(x)

First, you should take the 2 and put it back in the argument. Since it's a coefficient, when you put it back it in would be a power. That changes 2ln(1/2) to ln(1/2 ^ 2), which is ln(1/4).

ln(40) + ln(1/4) + ln(x)

Then, to add these, we just multiply the arguments, meaning we just have:

ln(40 * 1/4 * x)

Multiply and then we're done.

ln(10x)

Using logarithmic function, the condense of Ln 40 + 2 ln 1/2 + ln x is ln(10x).

Logarithmic function is function is an " inverse of an exponential function so that the independent variable appears logarithmic function".

According to question,

Ln 40 + 2 ln 1/2 + ln x

Properties of Logarithmic function     [tex]x ln (a) = ln(a^x)[/tex].

Using above properties we can write [tex]2 ln \frac{1}{2}[/tex] [tex]= ln(a^(\frac{1}{2})^2)[/tex] [tex]=ln(a^\frac{1}{4})[/tex].

Properties of Logarithmic function [tex]ln(a) + ln(b) = ln(ab)[/tex]

Using above properties we can write Ln 40 + 2 ln 1/2 + ln x as [tex]ln(40 . \frac{1}{4}.x)[/tex].

= [tex]ln(10x)[/tex]

Hence, Using logarithmic function, the condense of Ln 40 + 2 ln 1/2 + ln x is ln(10x).

Learn more about Logarithmic function here

https://brainly.com/question/20081937

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Answer:

144 ounces

Step-by-step explanation:

Plz mark as brainliest

Answer:

5

3+5 2×2 -7

8+4-7

12-7

5

^^^^

Answer:

y=4x-9                                                                      

Step-by-step explanation:

slope is rise/run

choose one point and do rise/run until you get to the next point

from the graph you can see the y-intercept is -9

Answer:

y=2x+-9

Step-by-step explanation:

this is the answer

Answer:

the amount that nearest to the paper cost with the discount but before tax is $12.83

Step-by-step explanation:

The computation of the amount that nearest to the paper cost with the discount but before tax is shown below:

= Cost of a photo paper - discount

= $13.50  - 5% of $13.50

= $13.50 - $0.675

= $12.83

Hence, the amount that nearest to the paper cost with the discount but before tax is $12.83

Answer:

195.74

Step-by-step explanation:

The whole area including the circle is 224

14×16=224

If you don't include the circle it must be less than including it. This is the only option less than 224

Answer & Step-by-step explanation:

So I can't exactly graph exactly, but I'll try...

To solve:

x+11<6  Subtract 11 on both sides.

x<-5

To graph:

<-------|---------o---------|-------->

        -6        -5         -4

(The bolded part of the line is the side you shade the graph on. In case you can't see it, you have to shade the left side of the open circle.)

Hope this helps! Have an awesome day ( • ω • )^

Answer:

x+17 = 112

Step-by-step explanation:

Vocabulary:

Increased = Addition

Is = Equal Sign

x+17 = 112

Answer:i dont kno what number u put

Step-by-step explanation:

Answer:

the first graph since the y intercept is -2 and the line hit -2

Answer:

$78 i think

Step-by-step explanation:

20%=20/100

20/100x65=13

13+65=78

$78

Answer:

2x3-x=10

6-x=10

x=10+6

.

. .x=16