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serg [7]
4 years ago
14

A game uses the two spinners shown in the image. What is the probability that you will spin "East" and "1"

Mathematics
2 answers:
PtichkaEL [24]4 years ago
7 0
1/32 because 1/4 is the probability for the first one and then 1/8 for the next one. 4 times 8 = 32  so there is a 1 in 32 chance   
Lady_Fox [76]4 years ago
7 0
<h2>Answer:</h2>

The probability that you will spin "East" and "1" is:

                            \dfrac{3}{32}

<h2>Step-by-step explanation:</h2>

As we know that the spinning of the first wheel is independent of the outcome of the spinning of the second wheel.

Let A denote the event of East.

B denote the event of 1 .

Let P denote the probability of an event.

A∩B denote the event of East and 1.

We are asked to find P(A∩B)

We know that:

    P(A∩B)=P(A)×P(B)

( When the events A and B are independent )

From the image we have:

P(A)=1/4

and P(B)=3/8

( Since there are 3 '1' in the spinner out of total 8 outcomes)

Hence we get:

    P(A\bigcap B)=P(A)\times P(B)\\\\\\P(A\bigcap B)=\dfrac{1}{4}\times \dfrac{3}{8}\\\\\\P(A\bigcap B)=\dfrac{3}{32}

             

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Three small circles C1, C2, and C3, each with radius 0.1 and centered at the origin are in the xy-, yz-, and xz-planes, respecti
den301095 [7]

Curl is defined as:

\bigtriangledown \times F=\frac{ \int F.dr}{Area}

Which can be rewritten as:

\frac{ \int F.dr}{Area}=\frac{ \int_{C_1} Fdr}{Area}\widehat{k}+\frac{ \int_{C_2} Fdr}{Area}\widehat{i}+\frac{ \int_{C_3} Fdr}{Area}\widehat{j}

This is because C1 lies on the xy plane and thus it's unit vector will be \widehat{k}.

By similar arguments the rest will follow too.

Now, area of each circle will be: \pi \times (0.1)^2=0.01 \pi

Therefore, Curl, as per our definition will be:

\frac{\int F.dr}{Area}=\frac{0.01\pi}{0.01\pi}\widehat{k}+\frac{0.4\pi}{0.01\pi}\widehat{i}+\frac{5 \pi}{0.01\pi}\widehat{j}

Thus, Curl=40\pi \widehat{i}+500\pi \widehat{j} +\widehat{k}

Which is the required answer.

7 0
4 years ago
Which lists all the integer solutions of the inequality |x| &lt; 3?
Mrac [35]
If you would like to know which lists all the integer solutions of the inequality <span>|x| < 3, you can calculate this using the following steps:

</span><span>|x| < 3
- 3 < x < 3
x = {-2, -1, 0, 1, 2}

The correct result would be C. -2, -1, 0, 1, and 2.</span>
6 0
4 years ago
Mr. Hurley collected baseball cards when his children were very young. Now that his children are older, he wants to give each of
mrs_skeptik [129]

Answer:

1,244

Step-by-step explanation:

3,732 cards divided among 3 children evenly equals 1,244.

3,732 / 3 = 1,244

5 0
4 years ago
B is the midpoint of ac. if ab=8x-7 bc=6x+7 find ac
quester [9]

Answer: AC = 98

Step-by-step explanation:

A midpoint is a point on a line segment that divides it into <em>two equal parts</em>.

This means AB = BC

AB = 8x - 7

BC = 6x + 7

AB = BC

8x - 7 = 6x + 7

Solve this to find x

Add 7 to both sides

8x = 6x + 14

Subtract 6x from both sides

2x = 14

Divide both sides by 2

x = 7

Now AC = AB + BC

AC = AB + BC

AC = 8x - 7 + 6x + 7

AC = 14x

Substitute 7 for x

AC = 14(7)

AC = 98

Hope this helps!

6 0
3 years ago
Identify the type of solution from a graph.
elixir [45]

Answer:

the answerrrr I believe is C

6 0
3 years ago
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