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3 years ago

What is the equation of a line that contains the points (2,-2) and (0, -2)?

Mathematics

2 answers:

SCORPION-xisa [38]3 years ago

8 0

$\text{Hey there!}$

$\text{The equation is: }\dfrac{\text{y}_2 -\text{y}_1}{\text{x}_2-\text{x}_1}$

$\text{y}_2 = -2\\\text{y}_1=-2\\\text{x}_2=0\\\text{x}_1=2$

$\dfrac{-2 - (-2)}{0-2}$

$\bf{-2 - (-2)= -2 + 2 \rightarrow0}$

$\dfrac{0}{0-2}$

$\bf{0 - 2 = -2}$

$\dfrac{0\leftarrow\text{y-intercept}}{-2\leftarrow\text{x-intercept}}$

$\boxed{\text{Answer \#1: y = 0}}$ $\checkmark$
$\boxed{\text{Answer \# 2: x = -2}}$ $\checkmark$
$\boxed{\text{Overall answer: -2}}$

$\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{LoveYourselfFirst:)}$

Zolol [24]3 years ago

4 0

Answer:

y = - 2

Step-by-step explanation:

The equation of a horizontal line parallel to the x- axis is

y = c

Where c is the value of the y- coordinates the line passes through

The line passes through (2, - 2) and (0, - 2) both with y- coordinate of - 2, thus

Equation of line is y = - 2

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3 years ago

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3 years ago

Simplify: (11x0q6)(7x0) I need step by step too

Scorpion4ik [409]

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3 years ago

Suppose a random variable, x, arises from a binomial experiment. If n = 6, and p = 0.30, find the following probabilities using

AlladinOne [14]

Answer:

a) P(X=1) = 0.302526

b) P(X=5) = 0.010206

c) P(X=3) = 0.18522

d) P(X≤3) = 0.92953

e) P(X≥5) = 0.010935

f) P(X≤4) = 0.989065

Explanation:

Binomial experiments are modeled by the formula:

$P(X=x)=C(n,x)\cdot p^x\cdot (1-p)^{(n-x)}$

Where

P(X=x) is the probability of exactly x successes

$C(n,x)=\dfrac{n!}{x!\cdot (n-x)!}$

p is the probability of one success, which must be the same for every trial, and every trial must be independent of other trial.

n is the number of trials

1 - p is the probability of fail

there are only two possible outcomes for each trial: success or fail.

a.) P (x=1)

$P(X=1)=\dfrac{6!}{1!\cdot (6-1)!}\times (0.3)^1\times(1-0.3)^{(6-1)}=0.302526$

b.) P (x=5)

$P(X=5)=\dfrac{5!}{5!\cdot (6-5)!}\times (0.3)^5\times (1-0.3)^{(6-5)}=0.010206$

c.) P (x=3)

Using the same formula:

$P(X=3)=0.18522$

d.) P (x less than or equal to 3)

P(X≤3)= P(X=3) + P(X=2) + P(X=1) + P(X=0)

Also,

P(X≤3) = 1 - P(X≥4) = 1 - P(X=4) - P(X=5) - P(X=6)

You can use either of those approaches. The result is the same.

Using the second one:

P(X=4) = 0.059335
P(X=5) = 0.010206
P(X=6) = 0.000729

P(X≤3) = 1 - 0.05935 - 0.010206 - 0.000729 = 0.92953

e.) P(x greather than or equal to 5)

P(X≥5) = P(X=5) + P(X=6)

P(X≥5) = 0.010206 + 0.000729 = 0.010935

f.) P(x less than or equal 4)

P(X≤4) = 1 - P(X≥5) = 1 - P(X=5) - P(X=6)

P(X≤4) = 1 - 0.010206 - 0.000729 = 0.989065

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3 years ago