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3 years ago

PLEASE HELP ME THANKS SOOOO MUCH!!!!!!!!!!!

Mathematics

1 answer:

Alina [70]3 years ago

8 0

The second choice is the answer: the initial value is the y value (which is 4) and the rate of change is the slope. The slope is calculated with rise/run, so the rise in this situation is that it moves down (negative) by 3 (rise=-3) and the run is how much it moves to the right (run=4). Therefore, the rate of change is rise/run which is -3/4

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Suppose that the first team member in a 3-person relay race must run 2 1/4 laps, the second team member must run 1 1/2 laps, and

Kisachek [45]

You need to add up all 3 mixed numbers to find the total laps.

2 + 1/4 + 1 + 1/2 + 3 + 5/8 =

(2 + 1 + 3) + (1/4 + 1/2 + 5/8) =

6 + (2/8 + 4/8 + 5/8) =

6 + (11/8) =

6 + (1 + 3/8) =

7 3/8 laps

6 0

3 years ago

Read 2 more answers

On a scale drawing of a steel I- beam, the height of a beam is 2 1/2

11Alexandr11 [23.1K]

Answer:On a scale drawing of a steel I-beam , the height of the beam is 2 1/2 in. The scale is 1/4 in = 6 feet. What is the actual height of the I-beam. $12$

Step-by-step explanation:

5 0

3 years ago

Travelers who fail to cancel their hotel reservations when they have no intention of showing up are commonly referred to as no-s

notsponge [240]

Answer:

a) 0.0523 = 5.23% probability that at least two of the four selected will turn to be no-shows.

b) 0 is the most likely value for X.

Step-by-step explanation:

For each traveler who made a reservation, there are only two possible outcomes. Either they show up, or they do not. The probability of a traveler showing up is independent of other travelers. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

No-show rate of 10%.

This means that $p = 0.1$

Four travelers who have made hotel reservations in this study.

This means that $n = 4$

a) What is the probability that at least two of the four selected will turn to be no-shows?

This is $P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{4,2}.(0.1)^{2}.(0.9)^{2} = 0.0486$

$P(X = 3) = C_{4,3}.(0.1)^{3}.(0.9)^{1} = 0.0036$

$P(X = 4) = C_{4,4}.(0.1)^{4}.(0.9)^{0} = 0.0001$

$P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.0486 + 0.0036 + 0.0001 = 0.0523$

0.0523 = 5.23% probability that at least two of the four selected will turn to be no-shows.

b) What is the most likely value for X?

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{4,0}.(0.1)^{0}.(0.9)^{4} = 0.6561$

$P(X = 1) = C_{4,1}.(0.1)^{1}.(0.9)^{3} = 0.2916$

$P(X = 2) = C_{4,2}.(0.1)^{2}.(0.9)^{2} = 0.0486$

$P(X = 3) = C_{4,3}.(0.1)^{3}.(0.9)^{1} = 0.0036$

$P(X = 4) = C_{4,4}.(0.1)^{4}.(0.9)^{0} = 0.0001$

X = 0 has the highest probability, which means that 0 is the most likely value for X.

7 0

3 years ago

The graph below shows the distribution of students grades on their last math test. Based on the Empirical rule, what percent of

timurjin [86]

Based on the emperical rule
the distribution will be as follows

btwn 80 n 85 on the test - 34%
btwn 80 n 95 on the test - 82%
below 85 on the test - 50%
<span>above an 80 on the test - 84%</span>

5 0

4 years ago

The rational number<br>number ———————<br>is equal to its negative

Zarrin [17]

Zero is equal to its negative

3 0

3 years ago