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2 years ago

9

In a regular deck of cards, calculate the probability that a diamond is drawn given that it is a face

2 answers:

Thepotemich [5.8K]2 years ago

8 0

Answer: 3/52

Step-by-step explanation: There are 3 face diamonds in a deck of 52 cards making it a 3/52 chance of pulling one.

qwelly [4]2 years ago

8 0

Answer: 0.25 or 25%

Step-by-step explanation:

you have to do 3 (the number of diamond face cards) divided by 12 (the total number of face cards) which is 0.25

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Find the area of an equilateral triangle with apothem 7 cm.

lbvjy [14]

So hmm check the picture below

using the 30-60-90 rule, we get that much.. .bear in mind, an equilateral triangle has all equal sides, and therefore, all equal angles, so each angle is 60°, run a median through it from the center, and you split it in half

$\bf \textit{area of an equilateral triangle}\\\\
A=\cfrac{s^2\sqrt{3}}{4}\qquad 
\begin{cases}
s=\textit{length of one side}\\
----------\\
s=14\sqrt{3}
\end{cases}\implies A=\cfrac{(14\sqrt{3})^2\sqrt{3}}{4}
\\\\\\
A=\cfrac{14^2\cdot 3\sqrt{3}}{4}\implies A=\cfrac{588\sqrt{3}}{4}\implies A=147\sqrt{3}$

8 0

3 years ago

Over a four-week period, Gail earned the following commissions:

stellarik [79]

Answer:$257.5

Step-by-step explanation: add all the amounts then divide by 4

5 0

3 years ago

Read 2 more answers

Solve for x: 2(x 3)2 − 4 = 0 Round your answer to the nearest hundredth. X = 4. 41, 1. 59 x = 1. 34, 5. 24 x = −1. 34, −5. 24 x

gladu [14]

The two values when the provided quadratic equation is solved for the x are -4.41 and -1.59 to the nearest hundredth.

<h3>What is a quadratic equation?</h3>

A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.

The standard form of the quadratic equation is,

$ax^2+bx+c=0$

Here, (<em>a,b,c</em>) are the real numbers and <em>x </em>is the variable.

To find the value of x, the following formula is used,

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

The given equation is,

$2(x+ 3)^2 - 4 = 0$

To solve this equation, we need to apply some mathematical operations over it. Let's start with opening the brackets.

$2(x+ 3)^2 - 4 = 0\\2(x^2+6x+9)-4=0\\2x^2+12x+14-4\\2x^2+12x+12=0\\x^2+6x+7=0$

On comparing with standard equation we get,

$a=1, b=6, c=7$

Put this values in the above formula,

$x=\dfrac{-(6)\pm\sqrt{(6)^2-4(1)(7)}}{2(1)}\\x=\dfrac{-(6)\pm\sqrt{(6)^2-4(1)(7)}}{2(1)}\\x=-4.41,-1.59$

Hence, the two values when the provided quadratic equation is solved for the x are -4.41 and -1.59 to the nearest hundredth.

Learn more about the quadratic equation here;

brainly.com/question/1214333

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2 years ago

How many solutions would it have none infinite or one ?

Jlenok [28]

Answer:

c

Step-by-step explanation:

c

8 0

2 years ago

Read 2 more answers

In the figure, BP is an angle bisector of ∠CBD.

telo118 [61]

Possible answer is A)5

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3 years ago