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erastovalidia [21]
3 years ago
10

A cereal company puts a small plastic bear in some of its cereal boxes. Customers who collect 10 of these bears win a grand priz

e.
Suppose that each box contains a bear with chance 1/5, independently of all other boxes. Suppose also that Rohan buys one box of this cereal each week.

Let T1T1 be the number of weeks it takes for Rohan to get his first bear.

Let T10T10 be the number of weeks it takes for Rohan to get his tenth bear.

Find the following probabilities. In each part, first write a math expression for the chance, and then use the code cell at the end of the exercise to find the numerical value. Provide the numerical value along with your math expression.

Note: Do not use stats.geom.pmf or stats.geom.cdf. You should be able to calculate the numerical value without these functions.

a) P(T1>12)P(T1>12)

b) P(T10=40)P(T10=40)

c) P(T10>40)P(T10>40)

d) P(T10>40∣T1=8)
Mathematics
1 answer:
Fofino [41]3 years ago
5 0

Answer:

D. I think

Step-by-step explanation:

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xenn [34]

First of all, I'm going to assume that we have a concave down parabola, because the stream of water is subjected to gravity.

If we need the vertex to be at x=4, the equation will contain a (x-4)^2 term.

If we start with y=-(x-4)^2 we have a parabola, concave down, with vertex at x=4 and a maximum of 0.

So, if we add 7, we will translate the function vertically up 7 units, so that the new maximum will be (4, 7)

We have

y = -(x-4)+7

Now we only have to fix the fact that this parabola doesn't land at (8,0), because our parabola is too "narrow". We can work on that by multiplying the squared parenthesis by a certain coefficient: we want

y = a(x-4)^2+7

such that:

  • a
  • when we plug x=8, we have y=0

Plugging these values gets us

0 = a(8-4)^2+7 \iff 16a+7=0 \iff a = -\dfrac{7}{16}

As you can see in the attached figure, the parabola we get satisfies all the requests.

3 0
3 years ago
(x+2)(x2 - 2x+4)expand and simplify​
Ksenya-84 [330]

Answer:

Step-by-step explanation:

2x2 is 4

5 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! <br><br> What is (f/g)(x) ?
Rudiy27

Answer:   \bold{D.\ \dfrac{x+4}{x}\ where\ x \neq 0, \dfrac{2}{3}}

<u>Step-by-step explanation:</u>

f(x) = 3x² + 10x - 8

g(x) = 3x² - 2x


\dfrac{f(x)}{g(x)}=\dfrac{3x^2+10x-8}{3x^2-2x}=\dfrac{(3x-2)(x+4)}{x(3x-2)}=\dfrac{x+4}{x}

Restriction on x: the denominator cannot be equal to zero. So,

    x(3x - 2) ≠ 0  

→  x ≠ 0     and     3x - 2 ≠ 0

                             3x       ≠ 2

                               x       \neq \dfrac{2}{3}


8 0
3 years ago
The number of employees per department are normally distributed with a population standard deviation of 198 employees and an unk
cricket20 [7]

Answer:

EBM = +-54.126

Step-by-step explanation:

In this question we have confidence interval to be 80%

The formula to solve this is in the attachment.

Bar X = 1460

Z-alpha/2 = 1.282

Sd = standard deviation = 198 employees

n = 22 departments

After we have inserted all values in to the formula we have:

1460 +-(1.282*198/√22)

= 1460+-(54.12604)

= (1405.87, 1514.126)

The error bounded mean EBM

= +-z-alpha/2 x (sd/√n)

= 1.282 x 198/√22

= 1.282 x 42.22

EBM = +-54.126

6 0
3 years ago
Help needed ASAP will give BRAINLIEST and 5 stars rate
Reil [10]
The answer is 7/5. I attached the work below.

4 0
3 years ago
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