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True [87]
3 years ago
10

In which example are the events dependent? A) Blake flips a coin 3 times. What is the probability that he flips heads all three

times? B) Kendra has 4 alternative songs and 5 country songs on a CD. What is the probability that the first song she hears two mornings in a row is an alternative song? C) Dreanna has a standard deck of 52 cards. She draws one card from the deck and then replaces it. She then draws a second card from the deck. What is the probability that both cards are Queens? D) In Mrs. Brown's Geometry class there are 15 boys and 10 girls. The students are presenting projects to the class. If Mrs. Brown selects students at random for presentations, what is the probability that the first 2 students chosen are girls?
Mathematics
2 answers:
Assoli18 [71]3 years ago
7 0
D) <span>In Mrs. Brown's Geometry class there are 15 boys and 10 girls. The students are presenting projects to the class. If Mrs. Brown selects students at random for presentations, what is the probability that the first 2 students chosen are girls? i
In usatestprep</span>
Akimi4 [234]3 years ago
3 0

Answer:

The example that denotes the event is dependent is:

Example: D

Step-by-step explanation:

Two events are said to be dependent if the occurrence of the first events affects the occurrence of the second event.

A)

In this experiment the occurrence of one event do not affect the occurrence of the other.

Since , the probability of head each time will be same i.e. 1/2

and the probability of tail also each time will be same i.e. 1/2

Hence, the events are independent.

B)

In this the probability of playing a alternative song and country song will be same both the morning i.e.

Probability of playing alternative song is:4/9

Probability of country song is:5/9

Hence, the events are independent.

C)

Since in this a card is drawn and then replaced and then a second card is drawn.

Hence, the probability of drawing a card in both the draws are same.

Hence, the events are independent.

D)

In this experiment the probability of choosing a girl in the first selection will be different as compared to the probability of choosing a girl in the second selection.

Since,

Probability of choosing a girl in the first place is: 10/25

and probability of choosing a girl in the second turn is: 9/24

Hence, the events are dependent.

Hence, Example D is the answer.

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For the dinner special at a restaurant, the customer must choose an appetizer, a salad, an entree, a side dish, and a dessert. H
Ostrovityanka [42]

Answer:

The number of possible dinner specials are 4368.

Step-by-step explanation:

The number of dinner specials = 5

They include appetizer, a salad, an entree, a side dish, and a dessert.

Possible items to choose from = 16.

They are 1. Appetizer Chicken strips, 2. Shrimp cocktail, 3. Buffalo wings, 4. Potato skins, 5. Salad Garden, 6. Caesar Entree T-bone steak, 7. Pot roast, 8. Lamb Side dish Corn, 9. Rice, 10. French fries, 11. Baked potato, 12. Pinto beans, 13. Dessert Chocolate cake, 14. Brownies, 15. Ice cream, 16. Apple pie

This is a combination problem requiring a combination solution with the following formula and steps:

C (n, r) =? C (n, r) = ?

n choose r

n (objects) =  16

r (sample) =  5

C (n, r) =? C (n, r) = ?

C (n, r) =C (14,5) C (n, r) =C (16,5)

=16! (5! (16−5)!) =16! (5! (16−5)!)

= 4368

3 0
2 years ago
Can someone help me please??? <br> what is BC?
astraxan [27]

Answer:

3.5

Step-by-step explanation:

3 0
2 years ago
Evaluate f(x) =1/3x for x = 4.
slava [35]

Answer: 1 1/3 or 4/3

Step-by-step explanation: f(4) =1/3(4) = 4/3  = 1 1/3

7 0
2 years ago
Read 2 more answers
In a mixture of​ concrete, there are fourfour lb of cement mix for each pound of gravel. If the mixture contains a total of 2952
Anton [14]

Answer: there are 59059 lbs of gravel.

Step-by-step explanation:

In a mixture of​ concrete, there are four lbs of cement mix for each pound of gravel. This means that eight lbs of cement would be mixed for 2 pounds of gravel and 12 lbs of cement would be mixed for 3 pounds of gravel and 12. Therefore, the constant ratio of cement to gravel is 4:1

The total ratio is 4 + 1 = 5

If the mixture contains a total of 295295 lb of these two​ ingredients, then the number of pounds of gravel that are​ there is

1/5 × 295295 = 59059 lbs

3 0
3 years ago
Graph the line and the parabola and find the points of intersection: y= 3-x ; y=x(squared)+x-12
melomori [17]

Answer:

Step-by-step explanation:

We have to graph a line y = 3 - x which has the slope = -1 and y intercept 3.

We will select two points where line intersects at x = 0 and y = 0

The given line will intersect x-axis at (3, 0) and at y- axis (0, 3).

Joining these two points we can draw a straight line showing y = -x + 3

Now we will draw the parabola given by equation y = x² + x - 12

We will convert this equation in vertex form first to get the vertex and line of symmetry.

Standard equation of a parabola in vertex form is

y = (x - h)² + k

Where (h, k) is the vertex and x = h is the line of symmetry.

y = x² + x - 12

y = x² + 2(0.5)x + (0.5)²- (0.5)²-12

y = (x + 0.5)² - 12.25

Therefore, vertex will be (-0.5, -12.25) and line of symmetry will be x = 0.5

For x intercept,

0 = (x + 0.5)² - 12.25

x + 0.5 = ±√12.25

x = -0.5 ± 3.5

x = -4, 3

For y- intercept,

y = (0+0.5)² - 12.25

 = 0.25 - 12.25

y = -12

So the parabola has vertex (-0.5, - 12.25), line of symmetry x = 0.5, x intercept (4, 0), (and y-intercept (0, -12).

Now we have to find the points of intersection of the given line and parabola.

For this we will replace the values of y

3 - x = x² + x - 12

x² + 2x - 15 = 0

x² + 5x - 3x - 15 = 0

x(x + 5) - 3(x + 5) = 0

(x - 3)(x + 5) = 0

x = 3, -5

For x = 3

y = 3- 3 = 0

For x = -5

y = 3 + 5 = 8

Therefore, points of intersection will be (3, 0) and (-5, 8)

 

4 0
2 years ago
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