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Vesna [10]
2 years ago
9

If LN=54 and LM=31, find MN

Mathematics
2 answers:
kirza4 [7]2 years ago
7 0
In this item, it is unfortunate that a figure, drawing, or illustration is not given. To be able to answer this, it is assumed that these segments are collinear. Points L, M, and N are collinear, and that L lies between MN. 

The length of the whole segment MN is the sum of the length of the subsegments, LN and LM. This can be mathematically expressed,
             LN + LM = MN

We are given with the lengths of the smalller segments and substituting the known values,
             MN = 54 + 31
            MN = 85

<em>ANSWER: MN = 85</em>
melomori [17]2 years ago
3 0

Answer:

54 - 31 = 23

Step-by-step explanation:

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INTERPRETATIONS OF THE DEFINITE INTEGRAL: Solar photovoltaic (PV) cells are the world’s fastest growing energy source. In year (
bezimeni [28]

Answer:

  31.747 GW

Step-by-step explanation:

The total cell capacity (C) manufactured in the time period is the integral of the rate of manufacture. So, we have ...

  C=\displaystyle\int\limits^3_0 {3.7e^{0.61t}} \, dt=\frac{3.7}{0.61}(e^{0.61\cdot 3}-1)\approx 31.747 \quad\text{GW}

About 31.747 GW of generating capacity was manufactured in that time interval.

7 0
2 years ago
A person riding a circular Ferris wheel sits 65 feet from the center. If they travel a distance of 92 feet during an initial rot
Temka [501]
We know that
the radius is 65 ft
circumference of a circle=2*pi*r
for r=65 ft
circumference of a circle=2*pi*65-----> 130*pi ft

if 2*pi  (full circle)  has a length of----------------> 130*pi ft
 x------------------------------------------> 92 ft
x=92*2*pi/(130*pi)----------> x=1.4154 radians-------> x=1.42 radians

the answer is
1.42 radians


8 0
2 years ago
For quality control​ purposes, a company that manufactures sim chips for​ cell/smart phones routinely takes samples from its pro
ololo11 [35]

Answer:

There is a 22.42% probability that a sample in this size has 2 imperfections.

Step-by-step explanation:

For each chip, there are only two possible outcomes. Either they are imperfect, or they are not.

This means that we can solve this problem using binomial distribution probability concepts.

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}.\pi^{x}.(1-\pi)^{n-x}

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

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

And \pi is the probability of X happening.

In this problem

A success is a chip being imperfect. Suppose the average number of imperfections per 1000 sim chips is 3. So \pi = \frac{3}{1000} = 0.003.

What is the probability that a sample this size​ (1000 chips) has 2​ imperfections?

The sample has 1000 chips, wo n = 1000

We want P(X = 2).

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 2) = C_{1000,2}.(0.003)^{2}.(0.997)^{998} = 0.2242

There is a 22.42% probability that a sample in this size has 2 imperfections.

7 0
2 years ago
The population of a town can be modeled by the regression equation y = 20,000(1.03x). Which is the best prediction for the popul
bixtya [17]

Answer:

The best prediction for the population in year 25 is 41,876\ people

Step-by-step explanation:

we have a exponential function of the form

y=a(b^{x})

where

a is the initial value

b is the base

In this problem

a=20,000\ people

b=1.03

b=1+r

r=b-1=1.03-1=0.03

r=3\%

so

y=20,000(1.03^{x})

For x=25\ years

substitute

y=20,000(1.03^{25})

y=41,875.56\ people

Round up

y=41,876\ people

4 0
2 years ago
Read 2 more answers
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frozen [14]

Answer:

Your answer would be 14,880, so it would be greater than 12,400.

12,400 * 1 1/5 = 14,880

3 0
2 years ago
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