Ask question

Ask question

All categories

3 years ago

15

What is the probability that a card drawn randomly from a standard deck of 52 cards is a nine? Express your answer as a fraction

in lowest
terms or a decimal rounded to the nearest millionth.

1 answer:

Anni [7]3 years ago

3 0

Answer:

1/13

Step-by-step explanation:

There are 4 nines in a deck so the probability is 4/52 = 1/13

You might be interested in

Which of the following is the solution

goldfiish [28.3K]

$x \geqslant - 1$

6 0

4 years ago

Step 4: Factor the function to find the x-intercepts.<br> The x-intercepts are:

sleet_krkn [62]

You going to have to find the slope of the x intercepts

4 0

3 years ago

Read 2 more answers

Suppose that f(x,y) is a smooth function and that its partial derivatives have the values, fx(−7,−2)=−1 and fy(−7,−2)=3. Given t

yarga [219]

Answer:

$f(-6,-1) =0$

Step-by-step explanation:

We are given the following in the question:

$f_x(-7,-2)=-1\\f_y(-7,-2)=3\\f(-7,-2)=-2$

We have to estimate the value of f(-6,-1)

By Taylor approximation we have:

$f(x,y) =f(-7,-2)+ f_x(-7,-2)(x+7) + f_y(-7,-2)(y+2)\\f(x,y) = -2 + (-1)(x+7) + 3(y+2)\\f(x,y) = -2-x-7+3y+6\\f(x,y) = -x+3y-3$

Now, putting values, we get,

$f(x,y) = -x+3y-3\\f(-6,-1) = -(-6)+3(-1)-3\\f(-6,-1) =0$

is the required value.

5 0

4 years ago

PLEASE SOLVE QUESTION 13 AND 14 <br>DONT STEAL THE POINTS

Varvara68 [4.7K]

Answer:

See below for solution.

Step-by-step explanation:

$Q13)$ $\frac{\sqrt{11} - \sqrt{5} }{\sqrt{11}+\sqrt{5} }$ = $x - y\sqrt{55}$

<u>LHS :-</u>

= $\frac{\sqrt{11} - \sqrt{5} (\sqrt{11}-\sqrt{5}) }{\sqrt{11}+\sqrt{5} (\sqrt{11}-\sqrt{5}) }$

= $\frac{11-2\sqrt{55}+5 }{11 - 5}$

= $\frac{16-2\sqrt{55} }{6}$

= $\frac{2(8-\sqrt{55}) }{2(3)}$

= $\frac{8-\sqrt{55} }{3}$

=> x = 8/3 and y = 1/3

=> <u>Option B</u>

<u></u>

<u></u> $Q14)$ $\frac{4}{216^{-2/3} }$ + $\frac{1}{256^{-3/4} }$ + $\frac{2}{243^{-1/5} }$

= 4 x (∛216)² + ( $\sqrt[4]256}$ )³ + 2 x ( $\sqrt[5]{243}$ )

= 4 x 36 + 64 + 2 x 3

= 144 + 64 +6

= 144 + 70

= <u>214</u>

3 0

2 years ago

What is the gradient of the graph shown?<br> Give your answer in its simplest form.

Elis [28]

Answer:

Step-by-step explanation:

When it's clear, the easiest way to do the problem is to used the x and y intercepts.

This question is one of the clear one.

The x intercept is 2,0

The y intercept is 0,1

You want the slope.

m = (y2 - y1)/(x2 - x1)

y2 = 1

y1 = 0

x2 = 0

x1 = 2

m = (1 - 0)/(0 - 2)

m = 1 / -2

m = -1/2

In this case the slope and gradient have the same value -- - 1/2 or - 0.5

6 0

2 years ago