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3 years ago

If you are delt 4 cards from shuffled deck of 52 cards, find the probability that all 4 cards are diamonds

1 answer:

7 0

P(first diamond) = 13/52
P(second diamond) = (13-1)/(52-1) = 12/51
P(third diamond) = (13-2)/(52-2) = 11/50
P(fourth diamond) = (13-3)/(52-3) = 10/49
To get all four diamonds, multiply together the four probabilities to get
P(four diamonds)=13/52*12/51*11/50*10/49=11/4165

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Select the correct answer.

algol [13]

Answer:

its answer C. y=-8

Step-by-step explanation:

y=-8 passes through (-2, -8) and is parallel to y=3 because they're both horizontal

3 0

3 years ago

A random number from 1 to 5 is selected

shutvik [7]

Answer:

Relative frequency of selecting a 2 = 8/50 = 0.16

Relative frequency of selecting a 3 = 14/50 = 0.28

Step-by-step explanation:

When we have a given experiment with given outcomes (such that each time that we perform the experiment, one outcome happens) the relative frequency of a given outcome is the quotient between the number of times that that outcome happened, and the total number of times that the experiment was performed.

Here the experiment is selecting a random number between 1 and 5, and it is performed 50 times.

Out of these 50 times, the outcome "2" appears 8 times.

Then the relative frequency of selecting the number 2 is:

f(2) = 8/50 = 0.16

And of these 50 experiments, the outcome "3" appears 14 times.

Then the relative frequency of selecting the number 3 is:

f(3) = 14/50 = 0.28

7 0

3 years ago

Covert 9.46×^10-6 into regular notation

weqwewe [10]

Answer:

0.00000946

Step-by-step explanation:

9.46×^10⁻⁶ =0.00000946

<u>Trick:</u>

Since the exponent of the scientific notation is negative, move the decimal point 6 places to the left

5 0

3 years ago

Paraphin [41]

Step-by-step explanation:

the mean value is the sum of all values divided by how many values there are.

so,

(3 + -5 + 70 + -90 + -13) / 5 = -35/5 = -7

-7° F is the mean temperature of the 5 cities.

3 0

3 years ago

a street light is at the top of a 18 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a s

shutvik [7]

The most appropriate choice for similarity of triangles will be given by -

Speed of tip of the shadow of woman = 6 ft/s

What are similar triangles?

Two triangles are said to be similar, if the corrosponding angles of the triangles are same and the corrosponding sides of the triangles are in the same ratio.

Here,

The diagram has been attached here

Let the distance of woman from the pole be x ft and the distance of tip of the shadow to the pole be y ft.

Height of street light = 18 ft

Height of woman = 6ft

The two triangles are similar [As height of woman is parallel to the height of pole]

$\frac{y - x}{6}=\frac{y}{18}\\18y - 18x = 6y\\18y - 6y = 18x\\12y = 18x\\y = \frac{18}{12}x\\y = \frac{3}{2}x\\$

To find the speed, we have to differentiate both sides with respect to time 't'

$\frac{dy}{dt} =\frac{3}{2}\frac{dx}{dt}\\\frac{dy}{dt}=\frac{3}{2} \times 4\\\frac{dy}{dt} = 6$

Speed of tip of her shadow = 6 ft

To learn more about similarity of triangles, refer to the link-

brainly.com/question/14285697

#SPJ4

6 0

1 year ago