What is the quotient written in scientific notation?

Suppose when a baseball player gets a hit, a single is twice as likely as a double which is twice as likely as a triple which is

rjkz [21]

Answer:

The PMF of B is given by

P(B=0) = 0.7

P(B=1) = 0.16

P(B=2) = 0.08

P(B=3) = 0.04

P(B=4) = 0.02

Step-by-step explanation:

Let x denote P(B=1), we know that

P(B=0) = 1-0.3 = 0.7

P(B=1) = x

P(B=2) = x/2

P(B=3) = x/4

P(B=4) = x/8

Also, the probabilities should sum 1, thus

0.7+x+x/2+x/4+x/8 = 1

15x/8 = 0.3

x = 0.16

As a result, the PMF of B is given by

P(B=0) = 0.7

P(B=1) = 0.16

P(B=2) = 0.08

P(B=3) = 0.04

P(B=4) = 0.02

5 0

3 years ago

Select the correct answer. What is the range of the function f(x) = -4\x+ 11 - 5? A. (-4,-5) B. [-5,-) OC. (-4,-) OD. (-2,-4] Re

Y_Kistochka [10]

We are given the following function:

$f(x)=-4\lvert x+1\rvert-5$

This function is equivalent to the function:

$g(x)=-4\lvert x+1\rvert$

Together with a translation 5 units in the negative direction of the "x" axis. Since the range of g(x) is all the values of "y" that are smaller or equal to zero, if we translate 5 units in the negative direction of the y-axis the range is:

$R(f(x))=\mleft\lbrace y\parallel y\mright?\le5\rbrace$

or in interval notation:

$R(f(x))=(-\infty,-5\rbrack$

3 0

7 months ago

Please use answer and step by step explanation

kotykmax [81]

I believe its C. because you have to solve for x.

5 0

3 years ago

Read 2 more answers

Help plzzzzzz it should be easy

DochEvi [55]

Answer:

uh

Step-by-step explanation:

l

6 0

2 years ago

Read 2 more answers

The amount of time a certain brand of light bulb lasts is normally distributed with a

gladu [14]

The interval of hours represents the lifespan of the middle 68% of light bulbs, using the empirical rule is, 1210 hours to 1390 hours.

<h3>What is empirical rule?</h3>

According to the empirical rule, also known as 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.

$P(\mu - \sigma < X < \mu + \sigma) = 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) = 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) = 99.7\%$

Here, we had where mean of distribution of X is \mu and standard deviation from mean of distribution of X is \sigma

The amount of time a certain brand of light bulb lasts is normally distributed with a mean of 1400 hours and a standard deviation of 50 hours. Thus,

$\mu=1300\\\sigma=90$

Using the empirical rule, the interval of hours represents the lifespan of the middle 68% of light bulbs is,

$P(\mu - \sigma < X < \mu + \sigma) = 68\%\\P(1300- 90 < X < 1300+ 90) = 68\%\\P(1210 < X < 1390) = 68\%$

Thus, the interval of hours represents the lifespan of the middle 68% of light bulbs, using the empirical rule is, 1210 hours to 1390 hours.

Learn more about empirical rule here:

brainly.com/question/13676793

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3 0

2 years ago