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3 years ago

What is the equation of a line that passes through (1,2) and is perpendicular to the given line?

Mathematics

1 answer:

fredd [130]3 years ago

6 0

Answer:

Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. the equation of the line is y = ½x + 6.

Step-by-step explanation:

found off google

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At Ersatz University, the graduating class of 480 includes 96 guest students from Latvia. A sample of 10 students is selected at

grandymaker [24]

Answer:

A).3222

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are from Latvia, or they are not. We are choosing students without replacement. However, since the sample size is large, we can use the binomial distribution to approximate the hypergeometric distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

480 students, of which 96 are from Latvia:

This means that $p = \frac{96}{480} = 0.2$

Sample of 10 students:

This means that $n = 10$

Probability that the sample contains at least three Latvian students.

Either there are less than three students from Latvia, or there are at least three. The sum of the probabilities of these events is 1. So

$P(X < 3) + P(X \geq 3) = 1$

We want $P(X \geq 3) = 1 - P(X < 3)$ , in which:

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074$

$P(X = 1) = C_{10,1}.(0.2)^{1}.(0.8)^{9} = 0.2684$

$P(X = 2) = C_{10,2}.(0.2)^{2}.(0.8)^{8} = 0.3020$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1074 + 0.2648 + 0.3020 = 0.6742$

$P(X \geq 3) = 1 - P(X < 3) = 1 - 0.6742 = 0.3258$

The closest option is A.

4 0

2 years ago

Do most students walk, bike, or bus to school?

luda_lava [24]

100 students walk to school each day because no matter if you ride the bus or bike to school, you still gotta walk into the school
Yurrr

6 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP! WILL GIVE BRAINLIEST! Thank you!<br> Given: mKP=2mIP, mIVK=120°<br> Find: m∠KJL

shtirl [24]

That is 99 degrees if you have the triangle facing the other way

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3 years ago

5. Kayla is making a scale drawing of a room in a house. The room

marusya05 [52]

Answer:

he scale of a room in a blueprint is 3 in: 5 ft. A wall in the same blueprint is 18 in. ... 15. 20. 25. 30 à. How long is the actual wall? The wall is 30 feet lona. 1.5 in. b. A window in ... Redraw the rectangle on centimeter grid paper using a scale of 1 cmcom. I. leme ... measurements of the object of the drawing can you find?

Step-by-step explanation:

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3 years ago

A box contains 6 yellow, 3 red, 5 green, and 7 blue colored pencils. A colored pencil is chosen at random, replaced, then anothe

ivolga24 [154]

Answer: 7/21 for blue and 6/21 for yellow. so 7/14

Step-by-step explanation:

7 0

2 years ago

What is the equation of a line that passes through (1,2) and is perpendicular to the given line?​

What is the equation of a line that passes through (1,2) and is perpendicular to the given line?