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elena-s [515]
4 years ago
14

Randomly picking a green card from a standard deck of playing cards. 3. randomly picking a red card from a standard deck of play

ing cards 4. picking a number less than 15 from a jar with papers labeled from 1 to 12 5. picking a number that is divisible by 5 from a jar with papers labeled from 1 to 12 find each probability. write your answer in simplest form. (example 2) use the complement to find each probability. (example 3) 8. what is the probability of not rolling a 5 on a standard number cube? 9. a spinner has 3 equal sections that are red, white, and blue. what is the probability of not landing on blue? 12. describe an event that has a probability of 0% and an event that has a probability of 100%. essential question check-in ?? 10. a spinner has 5 equal sections marked 1 through 5. what is the probability of not landing on 4? 11. there are 4 queens in a standard deck of 52 cards. you pick one card at random. what is the probability of not picking a queen? 6. spinning a spinner that has 5 equal sections
Mathematics
1 answer:
Akimi4 [234]4 years ago
6 0
<span>Formula: probability = number of positive outputs / total number of possible events

Randomly picking a green card from a standard deck of playing cards.

A standard deck of playing cards does not have green cards, so the probability is 0.

3. randomly picking a red card from a standard deck of playing cards

Half of the cards from a standard deck of playing cards are red, so the probability is 0.5.

4. picking a number less than 15 from a jar with papers labeled from 1 to 12

All the papers have a number less than 15, so the probability of picking a number less than 15 is 1.

5. picking a number that is divisible by 5 from a jar with papers labeled from 1 to 12

The numbers divisible by 5 from 1 to 12 are 5 and 10, so there are two positive outputs from a total of 12 possible events and the probabily of picking a number that is divisible by 5 is 2 / 12 = 1/6.

Answr: 1/6.

use the complement to find each probability. (example 3)

8. what is the probability of not rolling a 5 on a standard number cube?


The probability of rolling a 5 is 1 out of 6 = 1/6

The complement is 1 - 1/6 = 5/6.

Therefore, the probability of not rolling a 5 is 5/6.

9. a spinner has 3 equal sections that are red, white, and blue. what is the probability of not landing on blue? 1

The probability of landing on blue is 1 / 3. The complement is 1 - 1/3 = 2/3.

Therefore, the probability of not landing on blue is 2/3.

2. describe an event that has a probability of 0% and an event that has a probability of 100%. essential question check-in ??

Rolling a 7 with a standard cube has probability 0%.

Rolling a number different from 7 from a standard cube has a probability of 100%.


10. a spinner has 5 equal sections marked 1 through 5. what is the probability of not landing on 4?

Each section has a probability of 1/5.

So not landing on 4 has a probability of 1 - 1/5 = 4/5.

11. there are 4 queens in a standard deck of 52 cards. you pick one card at random. what is the probability of not picking a queen?

Picking a queen has probability of 4/52 = 1/13.

The complement is 1 - 1/13 = 12/13.

Therefore, the probability of not picking a queen is 12/13.
</span>
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The locations, given in polar coordinates, for two ships are (8 mi, 63º) and (8 mi, 123º). Find the distance between the two shi
Anna35 [415]
We know that

The arrangement forms an isosceles triangle with equal legs of 8 miles.
The angle between the legs is equal to

123-63=60°

 Therefore, the other two angles are
Angles = (180-60)/2 = 120/2 = 60°
It can, therefore, be noted that all angles are equal and thus the resulting triangle is actually an equilateral triangle and thus all the sides are equal.

Hence
the answer is
the distance between the two ships is 8 miles apart

alternative Method
Applying the law of cosines
<span>c²=a²+b²-2*a*b*cos C
</span>where
a=8 miles
b=8 miles
C is the angle between the legs-------> 123-63------> 60 degrees
c is the distance between the two ships
so
c²=8²+8²-2*8*8*cos 60------> c²=64-------> c=√64------> c=8 miles


5 0
3 years ago
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Use the distributive property to find the product.
VladimirAG [237]

A Is your answer :D        

W^2 + 2W + 3

4 0
3 years ago
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Solve 12^x^2+5x-4 = 12^2x+6
faust18 [17]

The solutions for ‘x’ are 2 and -5

<u>Step-by-step explanation:</u>

Given equation:

                    12^{x^{2}+5 x-4}=12^{2 x+6}

Since the base on both sides as ‘12’ are the same, we can write it as

                     x^{2}+5 x-4=2 x+6

                     x^{2}+5 x-2 x-4-6=0

                     x^{2}+3 x-10=0

Often, the value of x is easiest to solve by a x^{2}+b x+c=0 by factoring a square factor, setting each factor to zero, and then isolating each factor. Whereas sometimes the equation is too awkward or doesn't matter at all, or you just don't feel like factoring.

<u>The Quadratic Formula:</u> For a x^{2}+b x+c=0, the values of x which are the solutions of the equation are given by:

                       x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Where, a = 1, b = 3 and c = -10

                       x=\frac{-3 \pm \sqrt{(-3)^{2}-4(1)(-10)}}{2(1)}

                       x=\frac{-3 \pm \sqrt{9+40}}{2}

                       x=\frac{-3 \pm \sqrt{49}}{2}=\frac{-3 \pm 7}{2}

So, the solutions for ‘x’ are

                       x=\frac{-3+7}{2}=\frac{4}{2}=2

                       x=\frac{-3-7}{2}=\frac{-10}{2}=-5

The solutions for ‘x’ are 2 and -5

6 0
3 years ago
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A number that multiple by itself equal a given number is what​
Alina [70]

Answer:

I don't understand the question, but...

When you multiply a number by itself, you are squaring it.

<em>For Example:</em>

<em>3 x 3= 9</em>

<em>is the same as...</em>

<em>3^2= 9</em>

4 0
3 years ago
Which expression represents the difference (4b+7)−(6b−3)? show your work..
Zina [86]

Answer:

-2b + 10

Step-by-step explanation:

(4b + 7) - (6b - 3)

4b + 7 - 6b + 3

-2b + 10

5 0
3 years ago
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