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2 years ago

If f(x) = 2(x – 3) + 4, findf (-8).

Mathematics

1 answer:

Cloud [144]2 years ago

6 0

Answer:

f(-8) = -18

Step-by-step explanation:

given :

f(x) = 2(x – 3) + 4

to find f(-8), simply substitute x= -8 into the function:

f(x) = 2(x – 3) + 4

f(-8) = 2[(-8) – 3] + 4

= 2[-8 – 3] + 4

= 2[-11] + 4

= -22+4

= -18

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Suppose that the probability of a baseball player getting a hit in an at-bat is 0.3089. If the player has 25 at-bats during a we

klio [65]

Answer:

$P(X>9) = 0.3593$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=25, p=0.3089)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

For this case we want this probability:

$P(X >9)$

And we can use the complement rule like this:

$P(X>9) = 1-P(X \leq 8)= 1-[P(X=0) + P(X=1) +....+P(X=8)]$ And we can find the individual probabilities like this:

$P(X=0) =(25C0)(0.3089)^0 (1-0.3089)^{25-0} =0.0000974$

$P(X=1) =(25C1)(0.3089)^1 (1-0.3089)^{25-1} =0.0011$

$P(X=2) =(25C2)(0.3089)^2 (1-0.3089)^{25-2}=0.00584$

$P(X=3) =(25C3)(0.3089)^3 (1-0.3089)^{25-3}= 0.02$

$P(X=4) =(25C4)(0.3089)^4 (1-0.3089)^{25-4}=0.049$

$P(X=5) =(25C5)(0.3089)^5 (1-0.3089)^{25-5}=0.092$

$P(X=6)=(25C6) (0.3089)^6 (1-0.3089)^{25-6} = 0.138$

$P(X=7) =(25C7)(0.3089)^7 (1-0.3089)^{25-7}=0.167$

$P(X=8) =(25C8)(0.3089)^8 (1-0.3089)^{25-8}=0.168$

And in order to do the operations we can use the following excel code:

"=1-BINOM.DIST(8,25,0.3089,TRUE)"

And we got:

$P(X>9) = 0.3593$

4 0

2 years ago

The ratio of number of male and female teachers in a school is 3:4. Find the number of male teachers if there are 16 female teac

Alex_Xolod [135]

Answer:

12 male teachers

Step-by-step explanation:

If the ratio is 3:4, and the number of female teachers is 16, then the number of male teachers must be 12. This can be confirmed by multiplying both 3 and 4 by 4, or 12/16 = 3/4.

6 0

3 years ago

Read 2 more answers

If a cyclist travels at a speed of 36km/h. what is the speed in minutes<br>

Snowcat [4.5K]

Answer:

0.6 km / min

0.6 kilometres per minute

Step-by-step explanation:

Review the images and don't forget tu support me please!!! ;)

STEP BY STEP:

36 (km/h) (1h / 60min) = 0.6 km/min

8 0

2 years ago

How does a computer drawing program compare to using a compass and straightedge?

notsponge [240]

A computer drawing program generally has more steps compared to using a compass and straightedge, although not by much. In a computer drawing program, you can erase an error within a click of a button, compared to having to manually perfect and erase your work when using a compass and straightedge. Also, you immediately have access to an online drawing program as long as you have Internet connection and a computer compared to having to go out and buy a new compass and straightedge. Other than that, they're generally the same despite being different mediums.

Hope this helps!

5 0

3 years ago

Expand 2(m+3) pls<br> kkkkkkkkkkkkkkkkkkkkkkkkkkkkk

rodikova [14]

Answer:

2(m+3)

opening brackets

using +2 to multiply everything in the bracket

2m+6

=2m +6

6 0

2 years ago