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mihalych1998 [28]
2 years ago
13

PLEASE I JUST WANT A GOOD GRADE The spinner below shows 10 equally sized slices. Diane spun the dial 50 times and got the follow

ing results.
Outcome White Grey Black
Number of Spins 19 13 18
Fill in the table below. Round your answers to the nearest thousandth.

Mathematics
1 answer:
Andreyy892 years ago
7 0

Part (a)

The experimental or empirical probability is based on the results shown in the table. There are 13 instances of grey out of 50 spins total. Therefore, we end up with an experimental probability of 13/50. This converts to the decimal form 0.26

<h3>Answer:  0.26</h3>

===============================================

Part (b)

Since each slice is of equal size, this means theoretically each slice should have the same chance of being landed on. We have 3 grey slices out of 10 total. The probability of landing on a grey space is 3/10 = 0.3

<h3>Answer:  0.3</h3>

===============================================

Part (c)

<h3>Answer: Choice A) </h3>

As the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.

The theoretical probability is locked to 0.3 the whole time (only the experimental probability changes). This is according to the Law of Large Numbers.

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Sam has 2 brothers. His brothers are 5 cm shorter and 7 cm shorter than him. Sam's height is 140 cm. What is the median height o
pochemuha

Answer:

The median height of Sam and his brothers is 135.

Step-by-step explanation:

First, let's find the age of Sam's brothers:

B_{1} = 140 cm - 5 cm = 135 cm

B_{2} = 140 cm - 7 cm = 133 cm

The median height of Sam and his brothers is given by the middle number of the three values arranged from lowest to highest:

133   <u>135</u>   140                      

<em>Since the middle number is 135, then the median height is 135. </em>

Therefore, the median height of Sam and his brothers is 135.

I hope it helps you!

3 0
2 years ago
Select the correct answer.
Vedmedyk [2.9K]

Answer:

Addition.

Step-by-step explanation:

Addition was used to add 5 to both sides, leaving x by itself.

7 0
2 years ago
The coordinates of prs are p(-3,2), R (2,5), s (0,0) which of the following could be p'r's' after a 270 degree rotation
Ksju [112]
Formula for 270 degree rotations:
(x,y) -----> (-y,x)

So....

p: (-3,2)----> (-2,-3)
r: (2,5)------>(-5,2)
s: (0,0) ------> (0,0)
3 0
3 years ago
PLEASE HELP :( .... PLEASE
8_murik_8 [283]
You have 2 triangles and 3 rectangles. 
Start with a triangle:
area is base side * height / 2 ->  4 * 3 / 2 = 6
The other triangle has the same area: 6

First rectangle: side * other side -> 7 * 5 = 35
Second rectangle: 7 * 4 = 28
Third rectangle: 7 * 3 = 21

Now simply add all this together: 6+6+35+28+21 = 96

5 0
3 years ago
For what values of $x$ is $$\frac{x^2 + x + 3}{2x^2 + x - 6} \ge 0?$$ note: be thorough and explain why all points in your answe
Rus_ich [418]

To solve the inequality \frac{x^2+x+3}{2x^2+x-6}\ge \:0

\mathrm{Factor\:the\:left\:hand\:side\:}\frac{x^2+x+3}{2x^2+x-6}:

The numerator x^2+x+3 is not factorizable.

so factor the denominator 2x^2+x-6:

2x^2+x-6=\left(2x^2-3x\right)+\left(4x-6\right)=x\left(2x-3\right)+2\left(2x-3\right)\\ \mathrm{Factor\:out\:}x\mathrm{\:from\:}2x^2-3x\mathrm{:\quad }x\left(2x-3\right)\\ \mathrm{Factor\:out\:}2\mathrm{\:from\:}4x-6\mathrm{:\quad }2\left(2x-3\right)\\

Now take \mathrm{Factor\:out\:common\:term\:}\left(2x-3\right)

Then we get factor of the denominator as \left(2x-3\right)\left(x+2\right)

Thus \frac{x^2+x+3}{2x^2+x-6}=\frac{x^2+x+3}{\left(x+2\right)\left(2x-3\right)}

Now \mathrm{Compute\:the\:signs\:of\:the\:factors\:of\:}\frac{x^2+x+3}{\left(x+2\right)\left(2x-3\right)}\\

Signs of x^2+x+3>0

\mathrm{Choosing\:ranges\:that\:satisfy\:the\:required\:condition:}\:\ge \:\:0

x\frac{3}{2} is the required solution of the given inequality.

5 0
3 years ago
Read 2 more answers
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