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3 years ago

10

A card is drawn from a standard deck of 52 playing cards. Find the probability that the card is a black card given that it is an

ace.

1 answer:

Pavlova-9 [17]3 years ago

5 0

probability of getting black card an ace =2/52=1/26

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What are the coordinates of the vertex of the function f(x)=x^2+10x−3? (–5, –28) (–5, 28) (5, –28) (5, 28)

polet [3.4K]

Answer:

(-5,-28)

Step-by-step explanation:

Given

$f(x)=x^2+10x - 3$

Required

Find the coordinates of the vertex

Given that the function is a quadratic function;

The general form of a quadratic function is

$f(x)= ax^2+bx +c$

By comparison;

$a = 1\ b = 10\ and\ c = -10$

To calculate the coordinates of the vertex;

we start by calculating the x-coordinate;

$x = \frac{-b}{2a}$

Substitute 10 for b and 1 for a

$x = \frac{-10}{2*1}$

$x = \frac{-10}{2}$

$x = -5$

Substitute $x = -5$ in the given function;

$y=x^2+10x - 3$

$y=(-5)^2+10*-5 - 3$

$y=25-50 - 3$

$y=-28$

<em>Hence, the coordinates of the vertex is (-5,-28)</em>

6 0

3 years ago

Imagine there is technology that allows scientists to see all of the movement of molecules inside living things. A scientist poi

Daniel [21]

Answer:

Step-by-step explanation:

7 0

3 years ago

PLEASE HELP!!!<br> If f(x) = -2x^2 + x - 5, what is f(3)?

kow [346]

Answer:

<u>f(3) = -10</u>

Step-by-step explanation:

<u>Given</u>

f(x) = -2x² + x - 5

<u>Solving</u>

To find f(3), substitute x = 3 in the function
⇒ f(3) = -2(3)² + (3) + 5
⇒ f(3) = -2(9) + 8
⇒ f(3) = -18 + 8
⇒ <u>f(3) = -10</u>

4 0

2 years ago

Read 2 more answers

Please answer this correctly please

Phantasy [73]

If we have 2 more blue pens than black pens, our blue pens can be rewritten as blue = 2 + black. Now we can set up an equation. Originally this equation would involve both blue and black, but since we only have 1 equation to set up, we can only have 1 unknown. That's why we base the number of blue pens on the number of black pens and do a substitution. So instead of blue + black = 94, we have (black + 2) + black = 94. That simplifies to 2 black + 2 = 94, and 2 black = 92. Now if we divide by 2, we get that the number of black pens is 46. If we have 2 more blue than black, the number of blue pens we have is 48. 46 + 48 = 94, so there you go!

7 0

3 years ago

Deja has two baskets of berries. One of the baskets has 3 3/8 pounds of berries and the other basket has 2 7/8 pounds of berries

ElenaW [278]

Answer:

(b) The number of pounds of berries each person would receive is $1\frac{5}{8}$ pounds.

Step-by-step explanation:

The amount of berries in first basket = 3 3/8 pounds

Now, $3\frac{3}{8} = 3+\frac{3}{8} = 3 + 0.375 = 3.375$

So, the amount of berries in first basket = 3.375 pounds

The amount of berries in second basket = 2 7/8 pounds

Now, $2\frac{7}{8} = 2+\frac{7}{8} = 2 + 0.875 = 2.875$

So, the amount of berries in second basket = 2.875 pounds

Now, the total berries = Berries in ( First + Second) basket

= 3.375 pounds + 2.875 pounds

= 6.25 pounds

So, the number of pounds each person would have = $\frac{\textrm{Total weight of viable berries}}{\textrm{4}} = \frac{6.25}{4} = 1.5625$

Now, $1.5625 = 1 + 0.5625 = 1 + \frac{5625}{10000} = 1 + \frac{5}{8} = 1\frac{5}{8}$

So, the number of pounds of berries each person would receive is $1\frac{5}{8}$ pounds.

7 0

3 years ago