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2 years ago

What is the y intercept of this equation10x+5y=30Write answer in (x,y)

Mathematics

1 answer:

Harman [31]2 years ago

6 0

The y intercept of a straight line is the point on the y axis where the line cuts the y axis.

Given equation of lineis

$10x+5y=30$

Putting x=0 in the above equation, we have,

$\begin{gathered} 5y=30 \\ y=6 \end{gathered}$

So, the y intercept is

$(0,6)$

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During the 2013 regular NBA season, DeAndre Jordan of the Los Angeles Clippers had the highest field goal completion rate in the

melomori [17]

Answer:

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

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

Where (nCx) means combinatory and it's given by this formula:

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

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

$X \sim Binom(n=80, p=0.613)$

b) $\mu = n*p = 80*0.613= 49.04$

$\sigma = \sqrt{np(1-p)}= \sqrt{80*0.613*(1-0.613)}= 4.356$

c) For this case we can use the following excel code:

"=BINOM.DIST(60,80,0.613,FALSE)"

And we got 0.00355

d) $P(X>50) 1-P(X \leq 50)$

And we can use the following excel code:

"=1-BINOM.DIST(50,80,0.613,TRUE)"

And we got 0.3718

Step-by-step explanation:

Assuming the following questions:

a) What is the probability distirbution for X?

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".

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

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

Where (nCx) means combinatory and it's given by this formula:

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

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

$X \sim Binom(n=80, p=0.613)$

b) Using formula calculate the mean and standard deviation of X

By properties we have:

$\mu = n*p = 80*0.613= 49.04$

$\sigma = \sqrt{np(1-p)}= \sqrt{80*0.613*(1-0.613)}= 4.356$

c) Use your calculator to find the probability that DeAndre scored with 60 of these shots

For this case we can use the following excel code:

"=BINOM.DIST(60,80,0.613,FALSE)"

And we got 0.00355

d) Find the probability that DeAndre scores with more than 50 of these shots

We want this probability:

$P(X>50) 1-P(X \leq 50)$

And we can use the following excel code:

"=1-BINOM.DIST(50,80,0.613,TRUE)"

And we got 0.3718

8 0

3 years ago

F(x)= 2/3x -6 what is the value of f(-9)

STALIN [3.7K]

f(-9) means x is -9

Replace x with -9 and solve:

2/3(-9) - 6

Simplify:

-6 - 6 = -12

f(-9) = -12

3 0

3 years ago

Two trucks were driven on a 1,680 kilometer (km) trip. the first truck averaged 14 km per liter of fuel for the trip, and the se

kiruha [24]

for the first truck 1680 / 14 = 120 liters used

the second 1680 / 12 = 140 litres used

so 140-120 = 20 liters <span>the second truck used more </span>

8 0

3 years ago

Dwight planted some beet plants in his garden. The plants produced 12 beets. He gave 2/3 of the beets to his friend Michael. How

sveta [45]

Answer:8

Step-by-step explanation:Because since 1/3 of 12 is 4. You add 4 again so that it gives you 8

6 0

3 years ago

1×2×3×4×5×6×7×8×9×10=

FinnZ [79.3K]

Answer:

just use a calc

Step-by-step explanation:

5 0

3 years ago