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Svet_ta [14]
1 year ago
9

HELP FAST PLEASE!!! Find the sample space of the situation using a table or tree diagram on

Mathematics
1 answer:
Basile [38]1 year ago
6 0

Answer:

Sample space:

{(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5)}

Step-by-step explanation:

Tossing a coin has two possible outcomes, heads (H) and tails (T).

Spinning the spinner has 5 possible outcomes, 1, 2, 3, 4, 5.

Table:

First spin                   H     H     H     H     H    T     T     T     T     T

Second spin              1      2      3     4      5     1     2     3     4     5

Sample space:

{(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5)}

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Multiple please help me out. (picture is for question 4)
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Answer:

1. 9/10

2. 1/5

3. 4/9

4. 1

Step-by-step explanation:

The general equation of the line is:

(y - y0) = m ( x - x0), where "m" represents the slope is: (y1 - y0) / (x1 - x0).

1. From the statement we know that (x1, y1) = (18, 17) and (x0, y0) = (8,8)

Then the slope is:

m= (y1 - y0) / (x1 - x0) = (17 - 8)/(18 - 8) = 9/10.

The slope is 9/10.

2. From the statement we know that (x1, y1) = (8, 9) and (x0, y0) = (3,8)

Then the slope is:

m= (y1 - y0) / (x1 - x0) = (9 - 8)/(8 - 3) = 1/5.

The slope is 1/5.

3. From the statement we know that (x1, y1) = (15, 15) and (x0, y0) = (6,11)

Then the slope is:

m= (y1 - y0) / (x1 - x0) = (15 - 11)/(15 - 6) = 4/9.

The slope is 4/9.

4. From the graph, we know that the line passes through the points (-5, -4) and (-7, -6). So we know that (x1, y1) = (-5, -4) and (x0, y0) = (-7,-6).

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The slope is 1.

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3 years ago
Melissa sees a lighthouse from her sailboat. She knows the height of the lighthouse is 154 feet. She uses a measuring device and
Alex_Xolod [135]

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219.9  feet to the nearest tenth.

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= 154/x

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Read 2 more answers
Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate
yKpoI14uk [10]

Answer:

a) 0.5588

b) 0.9984

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 24

Standard Deviation, σ = 6.4

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}        

a) P(score between 20 and 30)

P(20 \leq x \leq 30) = P(\displaystyle\frac{20 - 24}{6.4} \leq z \leq \displaystyle\frac{30-24}{6.4}) = P(-0.62 \leq z \leq 0.94)\\\\= P(z \leq 0.94) - P(z < -0.62)\\= 0.8264 - 0.2676 = 0.5588 = 55.88\%

P(20 \leq x \leq 30) = 55.88\%

b) Sampling distribution

Sample size, n = 22

The sample will follow a normal distribution with mean 24 and standard deviation,

s = \dfrac{\sigma}{\sqrt{n}} = \dfrac{6.4}{\sqrt{22}} =1.36

c) P(mean score of sample is between 20 and 30)

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P(20 \leq x \leq 30) =99.84\%

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3 years ago
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