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3 years ago

Write the equations of the lines below.

Mathematics

1 answer:

PSYCHO15rus [73]3 years ago

4 0

Answer:

1. y=1x-2

We can't see the rest

Step-by-step explanation:

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What is the smallest possible length of the hypotenuse for a non-degenerate

deff fn [24]

The smallest possible length of the hypotenuse is 118

<h3>How to determine the hypotenuse?</h3>

The given parameters are:

Triangle type: non-degenerate right triangle
Legs: Length = 84 (at least 1)

The non-degenerate implies that the right triangle has a positive area.

Since at least one length is 84, then both lengths can also be 84.

The hypotenuse is then calculated using the following Pythagoras theorem.

h^2 = 84^2 + 84^2

Evaluate the sum

h^2 = 14112

Take the square root of both sides

h = 118.8

Round down

h = 118

Hence, the smallest possible length of the hypotenuse is 118

Read more about right triangles at:brainly.com/question/2437195

#SPJ1

4 0

2 years ago

Suppose the average yearly salary of an individual whose final degree is a master's is $(blank) thousand less than twice that

cupoosta [38]

Complete question :

Suppose the average yearly salary of an individual whose final degree is a master's is $41 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $118 thousand. Find the average yearly salary of an individual with each of these final degrees.

Answer:

Bachelors = $53000

Masters = $65000

Step-by-step explanation:

Given that :

Let Salary of bachelor's degree holder = b

Salary of Master's degree holder = 2b - 41000

Master's + bachelor's salary = $118,000

Hence,

2b - 41000 + b = 118,000

3b = 118000 + 41000

3b = 159000

b = 159000 / 3

b = $53,000

Bachelor's degree salary = $53,000

Master's degree salary ; 2b - 41000

2(53000) - 41000 = 65000

4 0

4 years ago

A distributor receives a large shipment of components. Thedistributor would like to accept the shipment if 10% or fewer ofthe co

posledela

Answer:

a. 0.2639 or 26.39%

b. 0.6242 or 62.42%

Step-by-step explanation:

This problem can be treated as a binomial model with probability of success p = proportion of defectives in the batch.

Number of trials (n) = 10.

For any number of successes 'k', the probability is:

$P(X=k) = \frac{n!}{(n-k)!k!}*p^k*(1-p)^{n-k}$

a. If p =0.10, what is P(x >1):

$P(X>1) = 1- P(X=0)-P(X=1)\\P(X>1) =1- \frac{10!}{(10-0)!0!}*0.10^0*(1-0.10)^{10-0}- \frac{10!}{(10-1)!1!}*0.10^1*(1-0.10)^{10-1}\\P(X>1) = 1-0.348678-0.287420\\P(X>1) =0.2639$

The probability is 0.2639 or 26.39%.

b. If p =0.20, what is P(x >1):

$P(X>1) = 1- P(X=0)-P(X=1)\\P(X>1) =1- \frac{10!}{(10-0)!0!}*0.20^0*(1-0.20)^{10-0}- \frac{10!}{(10-1)!1!}*0.20^1*(1-0.20)^{10-1}\\P(X>1) = 1-0.107374-0.268435\\P(X>1) =0.6242$

The probability is 0.6242 or 62.42%.

5 0

3 years ago

Find the equation of a line that contains the points (-3,-1) and (-4,-7). Write the equation in slope-intercept form.

weqwewe [10]

First you find the slope using y2-y1/x2-x1
which would be -6 and then to find the y-intercept plug in either (-3,-1) or (-4,-7) in x and y and plug in the slope -6
-1=-6(-3)+b
-1=18+b
-18. -18
-19=b
y=-6x -9

4 0

4 years ago

Someone, please help me with this problem, please

prohojiy [21]

Altérnate exterior
same side exterior
vertical angles
corresponding angles
alternate interior
same side interior
straight angles

5 0

3 years ago