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Naily [24]
3 years ago
15

A line is written in standard form Ax + By = 0, where A and B are not

Mathematics
1 answer:
cricket20 [7]3 years ago
5 0

Answer:

A point that must lie on this line is the origin (0,0)

Step-by-step explanation:

we know that

The equation of the line in standard form is equal to

Ax+By=C

where

A is a positive integer

B and C are integer

In this problem

C=0

so

Ax+By=0

That means, that the line represent a proportional relationship between the variables x and y

Remember that in a proportional relationship the line passes through the origin

therefore

A point that must lie on this line is the origin (0,0)

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There are some online calculators

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A hot air balloon is currently at a height of 900 feet. The balloon is descending by 10 feet minute. Find a function for the bal
mylen [45]

Answer:

y=-10x+900

Step-by-step explanation:

Let

x -----> the number of minutes

y ----> the balloon's height in feet

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem we have that

The slope is equal to

m=-10\ \frac{ft}{min} ----> is negative because is a decreasing function

b=900\ ft

Remember that the y-intercept is the value of y when the value of x is equal to zero

In this context the y-intercept is the height of the balloon when the time is equal to zero (initial height)

substitute

y=-10x+900

8 0
3 years ago
Simplify ratio 6:4 , please answer quick!!!
frez [133]

Answer:

3:2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of eight au
Alex17521 [72]

Answer:

P(X \geq 7) = P(X=7) +P(X=8)

And we can find the individual probabilities using the probability mass function

P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826  

P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305  

And replacing we got:

P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131

Step-by-step explanation:

Previous concepts  

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".  

Solution to the problem

Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:  

X \sim Binom(n=8, p=0.9)  

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!}  

And for this case we want to find this probability:

P(X \geq 7) = P(X=7) +P(X=8)

And we can find the individual probabilities using the probability mass function

P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826  

P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305  

And replacing we got:

P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131

3 0
3 years ago
Read 2 more answers
Solve the following for x
levacccp [35]

Answer:

x = 9

Step-by-step explanation:

50+80+(6x-4)=180 (ANGLE SUM PROPERTY)

130 +(6x-4)=180

6x-4=180-130

6x-4=50

6x=50+4

x=54/6

x = 9

4 0
3 years ago
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