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4 years ago

Please help answer :)

Mathematics

1 answer:

Umnica [9.8K]4 years ago

5 0

Answer:

Step-by-step explanation:

1. You just plot the points

2. To plot the line you have to find the slope and y-intercept

Slope = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$ = $\frac{30-15}{4-2}$ = $\frac{15}{2}$

Slope = $\frac{15}{2}$

Y-intercept = $y-y_{1}=m(x-x_{1} )$

Y-intercept: y - 15 = $\frac{-15}{2}$ (x - 2)

y - 15 = $\frac{-15}{2}x$ + 15

Add 15 to both sides

y = $\frac{-15}{2}$ x + 30 this is the equation of the line.

So you start with the starting point and then the slope!

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0.2333 = 23.33% probability that both of them have the secret decoder ring

Step-by-step explanation:

The cereals are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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

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

In this question:

45 boxes, which means that $N = 45$

22 have the secret decoder ring, which means that $k = 22$

Two boxes, which means that $n = 2$

What is the probability that both of them have the secret decoder ring?

This is P(X = 2). So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 2) = h(2,45,2,22) = \frac{C_{22,2}*C_{23,0}}{C_{45,2}} = 0.2333$

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3 years ago

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Ivanshal [37]

Complete Question:

The profile of a dam is modeled by the equation y = 24 (StartFraction x Over 10 EndFraction) squared, where x represents horizontal distance and y represents height, both in meters.

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Answer:

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Step-by-step explanation:

Given

$y = 24 * \frac{x}{10}$