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pav-90 [236]
3 years ago
9

Mr. Mole left his burrow and started digging his way down at a constant rate.

Mathematics
2 answers:
Iteru [2.4K]3 years ago
6 0

Constant rate means it is linear so we don't have to worry about fluctuation.

change in y/ change in x=-18-(-25.2)/5-8=2.4 meters per second

hammer [34]3 years ago
5 0

We have been given that Mr. Mole left his burrow and started digging his way down at a constant rate. The table compares Mr. Mole altitude relative to the ground (in meters) and the time since he left (in minutes).

Mr. Mole's speed will be equal to slope of line passing through the given points.

m=\frac{y_2-y_1}{x_2-x_1}

Let point (5,-18)=(x_1,y_1) and point (8,-25.2)=(x_2,y_2).

Upon substituting these values in slope formula, we will get:

m=\frac{-25.2-(-18)}{8-5}

m=\frac{-25.2+18}{3}

m=\frac{-7.2}{3}

m=-2.4  

Mr. Mole's altitude is getting more and more negative as he digging down.

Since speed cannot be negative, therefore, Mr. Mole's speed is 2.4 meters per minute.

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3 years ago
The possible outcomes for tossing a coin four times are shown below.
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Step-by-step explanation:

The probability of getting exactly four heads is 1/16.

There are 16 different posible outcomes and only 1 is all heads.

That makes the answer 1 out of 16 or 1/16.

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15 pieces

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PLEASE HURRY!!!<br> What is the slope of the line in the graph?
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3 years ago
Marcus randomly draws tokens from a bag containing 10 blue tokens, 8 green tokens, and 12 red tokens. The first draw is a green
IrinaVladis [17]

Answer: 1. D) 30

2. A) 8

3. B) 4/15

4. A)  2/9

5.D) 64%

Step-by-step explanation:    

1. Since, here the tokens from a bag containing 10 blue tokens, 8 green tokens, and 12 red tokens. The first draw is a green token.

Thus, the total token = 10 blue tokens+ 8 green tokens+ 12 red tokens = 30 token

Therefore, If the first draw is a green token, Then total outcomes that will possible = 30.

2. Since, getting green is an event with 8 favorable outcomes.

Therefore,  If the first draw is a green token, Then total favorable outcomes that will possible = 8.

3. The possibility of getting green in first drawn, P(G) = \frac{8_C_1}{30_C_1}

P(G) =  \frac{8}{30} = \frac{4}{15}

4. Here, Number of red socks= 5

Number of white socks = 2 and Number of  blue socks=3

Therefore total socks = 10

⇒ Probability of picking a pair of red socks,

P(R)= \frac{5_C_2}{10_C_2} = \frac{10}{45}

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5. Since, here coin is flipped 50 times and lands on heads 32 times.

Therefore, experimental probability that coin will land on heads on the next flip = (total times in which head appears/ total number of experiments) × 100 = (32/50)×100=64%


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3 years ago
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