Can I get help with 19 please

Answer:

A.) Independent

B.) Independent

C.) Dependent

D.) Independent

E.) Dependent

F.) Independent

Step-by-step explanation:

To find - Select from the following pairs of events all the pairs that are independent.

A. Draw a 2 of clubs from a standard deck of 52 cards, keep it, then draw a 2 of diamonds.

B. Draw a 3 of spades from a standard deck of 52 cards, replace it, then draw a 5 of hearts.

C. Roll a number cube. Then roll again if the first roll is a 6.

D. Roll a 2 on a number cube and spin a 3 on a spinner.

E. Events A and B, where P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0.8.

F. Events A and B, where P(A) = 0.1, P(B) = 0.5, and P(A and B) = 0.05.

Proof -

We know that,

Independent events are the events that does not depend on the previous events.

Also,

If A and B are two independent events, then

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

Now,

A.)

Draw a 2 of clubs from a standard deck of 52 cards, keep it, then draw a 2 of diamonds.

Here,

Event 1 - Draw a 2 of clubs from a standard deck of 52 cards

Event 2 - keep it, then draw a 2 of diamonds.

These Events are independent

Because

Event 1 is about picking a card that is club

Event 2 is about picking a card that is diamond

And Diamond and spades are 2 different types of card in a pack of standard deck.

So, they are not related to each other.

So,

Both the Events are Independent.

B.)

Draw a 3 of spades from a standard deck of 52 cards, replace it, then draw a 5 of hearts.

Event 1 is about picking a card that is spade

Event 2 is about replacing the card to heart.

These Events are independent

Because

And spade and heart are 2 different types of card in a pack of standard deck.

So, they are not related to each other.

So,

Both the Events are Independent.

C.)

Roll a number cube. Then roll again if the first roll is a 6.

Event 1 is Roll a number cube.

Event 2 is Roll again if the first roll is 6.

These Events are Dependent

Because

Event 2 is dependent on Event 1.

If Event 1 given no 6 then Event 2 would not happen

If Event 1 given 6 then Event 2 would happen.

So, They are related to each other

So,

Both the Events are Dependent.

D.)

Roll a 2 on a number cube and spin a 3 on a spinner.

Event 1 is Roll a 2 on a number cube

Event 2 is spin a 3 on a spinner

These Events are independent

Because

Cube and spinner are two different objects.

So, they are not related to each other.

So,

Both the Events are Independent.

E.)

Events A and B, where P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0.8.

These Events are Dependent

Because

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

⇒0.8 = 0.4*0.2

⇒0.8 = 0.08

But they are not equal

So, they are not independent Events.

F.)

Events A and B, where P(A) = 0.1, P(B) = 0.5, and P(A and B) = 0.05.

These Events are independent

Because

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

⇒0.05 = 0.1*0.5

⇒0.05 = 0.05

They are not equal

So, they are independent Events.

Answer:

9 yrs ago

Step-by-step explanation:

(50-x)(20-x) = 451

x^2-70x + 1000 = 451

x^2-70x + 549 = 0

(x-9)(x-61) = 0

x = 9 (if it was 61 yrs ago, the father and son both wouldnt be a live)

Answer:

19

Step-by-step explanation:

Given the expression:

Add the quotient of 35 and 5 to the product of 2 and 6.

Quotient of 35 and 5 :

35 / 5 = 7

Product of 2 and 6 :

(2 * 6). = 12

Adding the result of the both calculations :

7 + 12 = 19

Writing the expression together :

35/5 + (2 * 6)

7 + 12

Answer:

86

Step-by-step explanation:

Answer:

The answer is D.

Step-by-step explanation:

It is D because they cannot be negative feet away and if the fisherman is 12ft above water and the diver is 40ft below than 40 + 12 = 52. Hope this helps.

Answer:

m<G = 59°

Step-by-step explanation:

Recall: the angle formed outside a circle when 2 secants intercept is equal to half of the difference of the intercepted arcs

m<G = ½(arc TE - arc HF)

m<G = ½(175 - 57)

m<G = ½(118)

m<G = 59°

Answer:

[tex]\text{Angle: }48^{\circ},\\\text{Angle's supplement: }132^{\circ}[/tex]

Step-by-step explanation:

Let the angle be [tex]\theta[/tex]. Supplementary angles are angles that add up to [tex]180^{\circ}[/tex]. Therefore, we can set up the following equation:

For some angle [tex]\theta[/tex], the supplement of [tex]\theta[/tex] will be [tex]180-\theta[/tex].

[tex]3\theta=(180-\theta)+12,\\3\theta -12=180-\theta,\\4\theta=192,\\\theta=\frac{192}{4}=\boxed{48^{\circ}}[/tex]

Now solving for the supplement:

[tex]\text{Supplement}=180-\theta=180-48=\boxed{132^{\circ}}[/tex]

Answer:

See attached photo!

Step-by-step explanation:

Answer:

C is the answer

Step-by-step explanation:

hope this helps

Answer:

240/100

Step-by-step explanation:

just multiply 24 by 10 to get hundredths

Answer:

y = 5x+8

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

We know the slope is 5 and the y intercept is 8

y = 5x+8

Answer:

x^4

Step-by-step explanation:

The expression can be simplified to (x^2)^2. Using an exponent rule, you multiply the two exponents together to get 4. The answer is x^4

Answer:

The rate of change is  

6.2  ×  [tex]10^{-3}[/tex]   [tex]ms^{-1}[/tex]  =  0.37 [tex]\frac{m}{min}[/tex]  

Answer ^ ^ ^ ^ ^ ^ ^

Explanation: it broke itself

Answer:

Height = 4 cm and slant height = 5 cm

Step-by-step explanation:

Given that,

The surface area of the cone, A = 75.4 cm²

Radius, r = 3 cm

The surface area of the cone is given by the formula as follows :

[tex]A=\pi r^2+\pi rl[/tex]

Put all the values,

[tex]75.4=3.14\times 3^2+3.14\times 3\times l\\\\75.4=28.26+9.42l\\\\75.4-28.26=9.42l\\\\47.14=9.42l\\\\l=\dfrac{47.14}{9.42}\\\\l=5\ cm[/tex]

Also,

[tex]l^2=r^2+h^2\\\\h=\sqrt{l^2-r^2}\\\\h=\sqrt{5^2-3^2}\\\\h=4\ cm[/tex]

Hence, the height of the cone is 4 cm and the slant height is 5 cm.

Answer:

x = ±9

Step-by-step explanation:

Isolate 2x^2 by subtracting 65 from both sides:

            2x^2 = 162

Then x^2 = 81, and x = ±9

Answer:

C

Step-by-step explanation:

Answer:

18.5-45%=10.175 Hope this helped! :)

joe mama is obama

Step-by-step explanation:

[tex]\huge{ \mathcal{ \underline{ Answer }}}࿐[/tex]

Cos 210° is equal to [tex]-Cos(30°)[/tex]

[tex] \#TeeNForeveR[/tex]

Answer:

I think the answer is :-

[tex]c {d}^{3} [/tex]

The simplification of c^3d^4/c^2d is cd^3.

Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression.

For the given situation,

The expression is c^3d^4/c^2d.

The simplification is as

⇒ [tex]\frac{c^{3}d^{4} }{c^{2}d }[/tex]

⇒ [tex]\frac{(c^{2})( c)(d^{3} )(d)}{c^{2} d}[/tex]

⇒ [tex]cd^{3}[/tex]

Hence we can conclude that the simplification of c^3d^4/c^2d is cd^3.

Learn more about simplification of an expression here

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Answer:

The answer is probably A, but you typed it in wrong so I do not know. I can only guess because the others do not seem to be correct either. I have graphed them on Desmos. The screenshot is below.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Step-by-step explanation:

x<5

This means that we want to graph all the numbers less than 5, but not 5 itself. So the circle is selected onto the 5 mark, we make it open, and we make the graph go to the left of the circle.

Answer:

1.Make the circle open

2.put the dot on 5

3. change direction

Step-by-step explanation:

A solid dot on a number line graph indicates that the given number should be included as a possible solution, whereas an open dot indicates that the given number cannot be a solution. For example, if you graph x > 7, you place an open dot at 7.

Have a nice day! :-)

Answer:

99

Step-by-step explanation:

since there is no common number which divides both 9 and 11 so just multiply them.

Answer: Hello your question lacks the required options but I will provide a more general answer

answer :  Ineffectiveness/failure of the experimental Treatment given to the 50 subjects in the Treatment group

Step-by-step explanation:

The Placebo treatment is a treatment given for the purpose of psychological benefit. it does not have a therapeutic effect on the individual.

Given that there is very little difference between the success rate of the group whom actually receive the treatment ( for the purpose of therapeutic effect ) and the group that received placebo treatment we can conclude that the success of the Placebo group is due to the ineffectiveness of the Treatment given to the 50 subjects in the Treatment group

Answer:

1) A={0,2,4,12,14,20}

2) 6

3) W={1,3,5,9,21,23,39}

4) 7

The number of adult tickets sold will be 275.

Given is that a total of 494 tickets were sold for the school play. They were either adult tickets or student tickets. There were 56 fewer student tickets sold than adult tickets.

Assume that the number of adult tickets sold are [x] and the student tickets sold are [y]. Then -

x + y = 494

y = x - 56

So, we can write the equation as -

x + x - 56 = 494

2x = 550

x = 275

Then, we can find [y] as -

y = 275 - 56 = 219

y = 219

Therefore, the number of adult tickets sold will be 275.

To solve more questions on functions, expressions and polynomials, visit the link below -

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