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3 years ago

PLEASE HELP ME WITH QUESTION 100 POINTS AND BRAINLIEST FOR BEST ANSWER

Mathematics

2 answers:

Softa [21]3 years ago

7 0

Answer:

y = - 2/3 x +4

Step-by-step explanation:

this is the slope intercept form of that line

first solve slope

find y intecpet

done!

alexandr1967 [171]3 years ago

3 0

Answer:

y = - 2 / 3 x +4

Step-by-step explanation:

gradient of the line = 0 - 6 / 6 + 3

= - 2 / 3

y intercept of the line is where the line meets the y axis = (0, 4)

Equation of the line

y = mx + c

where m is the gradient and c is the y intercept

m = - 2 /3 and c = 4

so the equation is y = -2/3 x + 4

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A. 0.92t

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Step-by-step explanation:

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AHarris Interactive survey for InterContinental Hotels & Resorts asked respondents, "When traveling internationally, do you

Sauron [17]

Answer:

a) There is a 27.89% probability that two will stick with their tour group.

b) There is a 41.81% that in at least two will stick with their tour group.

c) There is a 7.33% probability that none will stick with their tour group.

Step-by-step explanation:

For each responders, this question can only have two outcomes. Either they stick with their tour group, or they don't. So this means that we can solve this problem as binomial distribution.

Binomial probability distribution

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

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

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

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

And $\pi$ is the probability of X happening.

For these problems

The survey found that 23% of the respondents stick with their tour group, so $\pi = 0.23$ .

a. In a sample of six international travelers, what is the probability that two will stick with their tour group?

The sample has six travelers, so $n = 6$ .

We want P(X = 2).

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

$P(X = 2) = C_{6,2}.(0.23)^{2}.(0.77)^{4} = 0.2789$

There is a 27.89% probability that two will stick with their tour group.

b. In a sample of six international travelers, what is the probability that at least two will stick with their tour group?

Either less than two stick with their groups, or at least two do. The sum of these probabilities is decimal 1.

$P(X < 2) + P(X \geq 2) = 1$

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1)$

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

$P(X = 0) = C_{6,0}.(0.23)^{0}.(0.77)^{6} = 0.2084$

$P(X = 1) = C_{6,1}.(0.23)^{1}.(0.77)^{5} = 0.3735$

-----

$P(X < 2) = P(X = 0) + P(X = 1) = 0.2084 + 0.3735 = 0.5819$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.5819 = 0.4181$

There is a 41.81% that in at least two will stick with their tour group.

c. In a sample of 10 international travelers, what is the probability that none will stick with the tour group?

Now our sample has 10 travelers, so $n = 10$ .

We want to find P(X = 0)

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

$P(X = 0) = C_{10,0}.(0.23)^{0}.(0.77)^{10} = 0.0733$

There is a 7.33% probability that none will stick with their tour group.

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Performing a Rotation in the Coordinate Plane

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Answer:

W: (-4,5) W' -> (5,4)

X: (-1,4) X' -> (4,1)

Y: (-6,1) Y' -> (1,6)

Z: (-8,3) Z' -> (3,8)

Step-by-step explanation:

Let me give you a quick brief of how to master rotations!!

You need to understand the formula and positioning rules

The formulas shall be given by teachers or looked up!

*** BUT THE SHAPE POSITIONING RULES MATTER!!

-If the shape was in quadrant 2 which is where it is right now then a 90 degree turn clockwise would result in the shape being on quadrant 1, 180 quad 4, 270: quad 3, and 360 would be the original quad which is 2.

The formula for clockwise for this one is that you need to flip the (x,y) to (y,x)

The shape should be on quadrant 1 which is the one on the top right of the coordinate plane!

They want you to graph it by W'X'Y'Z

The ' is prime which is the new position/coordinate

W: (-4,5) W' -> (5,4)

X: (-1,4) X' -> (4,1)

Y: (-6,1) Y' -> (1,6)

Z: (-8,3) Z' -> (3,8)

That is the rotation 90 degrees clockwise coordinates!!

***REMEMBER EACH ROTATION RULE HAS A DIFFERENT FORMULA!!**

Counterclockwise is pretty similar but the opposite direction with different rules!

**POSITION OF THE SHAPE IS THE MOST IMPORTANT!!!**

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3 years ago