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a_sh-v [17]
3 years ago
14

What is y=-11x-8 in standard form?

Mathematics
2 answers:
nika2105 [10]3 years ago
8 0
11x + y = -8 <<< standard form
djverab [1.8K]3 years ago
4 0
<span>y=-11x-8
11x + y = -8 ...this is standard form

hope it helps</span>
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Let the number of chocolate chips in a certain type of cookie have a Poisson distribution. We want the probability that a cookie
ludmilkaskok [199]

Answer:

\lambda \geq 6.63835

Step-by-step explanation:

The Poisson Distribution is "a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space if these events occur with a known constant mean rate and independently of the time since the last event".

Let X the random variable that represent the number of chocolate chips in a certain type of cookie. We know that X \sim Poisson(\lambda)

The probability mass function for the random variable is given by:

f(x)=\frac{e^{-\lambda} \lambda^x}{x!} , x=0,1,2,3,4,...

And f(x)=0 for other case.

For this distribution the expected value is the same parameter \lambda

E(X)=\mu =\lambda

On this case we are interested on the probability of having at least two chocolate chips, and using the complement rule we have this:

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

Using the pmf we can find the individual probabilities like this:

P(X=0)=\frac{e^{-\lambda} \lambda^0}{0!}=e^{-\lambda}

P(X=1)=\frac{e^{-\lambda} \lambda^1}{1!}=\lambda e^{-\lambda}

And replacing we have this:

P(X\geq 2)=1-[P(X=0)+P(X=1)]=1-[e^{-\lambda} +\lambda e^{-\lambda}[]

P(X\geq 2)=1-e^{-\lambda}(1+\lambda)

And we want this probability that at least of 99%, so we can set upt the following inequality:

P(X\geq 2)=1-e^{-\lambda}(1+\lambda)\geq 0.99

And now we can solve for \lambda

0.01 \geq e^{-\lambda}(1+\lambda)

Applying natural log on both sides we have:

ln(0.01) \geq ln(e^{-\lambda}+ln(1+\lambda)

ln(0.01) \geq -\lambda+ln(1+\lambda)

\lambda-ln(1+\lambda)+ln(0.01) \geq 0

Thats a no linear equation but if we use a numerical method like the Newthon raphson Method or the Jacobi method we find a good point of estimate for the solution.

Using the Newthon Raphson method, we apply this formula:

x_{n+1}=x_n -\frac{f(x_n)}{f'(x_n)}

Where :

f(x_n)=\lambda -ln(1+\lambda)+ln(0.01)

f'(x_n)=1-\frac{1}{1+\lambda}

Iterating as shown on the figure attached we find a final solution given by:

\lambda \geq 6.63835

4 0
3 years ago
Prove why this makes sense.
olchik [2.2K]

Answer:

it doesn't

Step-by-step explanation:

hehe, try again

6 0
3 years ago
Read 2 more answers
Which quadratic relation has a y-intercept of 8?
Tpy6a [65]

Answer:

y = 0.5 (x^2 -2x + 16) has a y-intercept of 8.

Step-by-step explanation:

The x-coordinate of every y-intercept is zero.  To determine which of the four quadratics given here has a y-intercept of 8, we need only substitute 0 for x in each; if the result is 8, we've found the desired quadratic.

O y = 0.5(x + 2)(x + 4) becomes y = 0.5(2)(4) = 4 (reject this answer)

O y = 0.5 (x - 2)(x + 8) becomes y = 0.5(-2)(8) = -8 (reject)

O y = 0.5(x2 -2x - 16) becomes y = 0.5(-16) = -8 (reject)

<em>O y = 0.5 (x2 -2x + 16) becomes y = 0.5(16) = 8 This is correct; that '8' represents the y-intercept (0, 8).</em>

6 0
3 years ago
)) A group of cyclists went bike riding during a 7-day vacation. They biked 129 miles in the
shtirl [24]

Answer:

41 miles a day

Step-by-step explanation:

293 - 129 = 164

164 / 4 = 41

5 0
2 years ago
Read 2 more answers
A 12-ounce soda can is 5 inches tall and 2.5 inches across. How much soda can it hold if it is completely full? Round your answe
givi [52]
<span>V = 24.5312 = 24.5 cubic inches</span>
8 0
3 years ago
Read 2 more answers
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