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juin [17]
2 years ago
13

The slope, m, of a linear equation can be found using the formula m = StartFraction y 2 minus y a Over x 2 minus x 1 EndFraction

., where the x- and y-values come from two ordered pairs, and (x1, y1) and (x2, y2).
What is an equivalent equation solved for y2?
Mathematics
1 answer:
aniked [119]2 years ago
6 0

Answer:

y2 = m(x2-x1)+y1

Step-by-step explanation:

Given the formula for finding the slope of a linear equation to be;

m = y2-y1/x2-x1 where x and y are from the ordered pairs (x1,y1) and (x2,y2)

To get the equivalent equation for y2, we will make y2 the subject of tbw formula from the equation as shown:

m = y2-y1/x2-x1

Cross multiplying

m(x2-x1) = y2-y1

mx2-mx1 = y2-y1

Adding y1 to both sides of the equation we have;

mx2-mx1 + y1= y2-y1+y1

y2 = mx2-mx1 + y1

y2 = m(x2-x1)+y1

This gives the resulting equation to solve for y2

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The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and a standard deviation of 5,00
timama [110]

Answer: the probability that a randomly selected tire will have a life of exactly 47,500 miles is 0.067

Step-by-step explanation:

Since the life expectancy of a particular brand of tire is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = life expectancy of the brand of tire in miles.

µ = mean

σ = standard deviation

From the information given,

µ = 40000 miles

σ = 5000 miles

The probability that a randomly selected tire will have a life of exactly 47,500 miles

P(x = 47500)

For x = 47500,

z = (40000 - 47500)/5000 = - 1.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.067

6 0
2 years ago
Eli, Freda and Geoff were given £800 to share in the ratio of their ages.
algol13
First, we are going to find the sum of their age. To do that we are going to add the age of Eli, the age Freda, and the age of <span>Geoff:
</span>9+13+18=40
The combined age of Eli, Freda, and Geoff is 40, so the denominator of each ratio will be 40.

Next, we are going to multiply the ratio between the age of the person and their combined age by <span>£800:
For Eli: </span>\frac{9}{40} *800=180
For Freda: \frac{13}{40} *800=260
For Geoff: \frac{18}{40} *800=360
<span>
We can conclude that Eli will get </span>£180, Freda will get £260, and Geoff will get <span>£360.</span>
4 0
2 years ago
Without using a calculator, what is 30% of 546? (You can round up to avoid decimal points)
madreJ [45]

Answer:

Hey there!

We can solve this by multiplying 0.3 by 546, which is about 164.

Hope this helps :)

5 0
2 years ago
Read 2 more answers
5. Whitney deposits $9,000 for 2 years. She compares two different banks. State
Volgvan

Answer:

a. $ 381.969,

b. $ 369.171,

c. Kings Savings

d. Reliability.

Step-by-step explanation:

∵ Amount formula in compound interest,

A=P(1+r)^t

And, amount formula in continuously,

A=Pe^{rt},

Where,

P = principal amount,

r = rate per periods,

t = number of periods,

a. In State bank,

P = $ 9000, r = 2.1% = 0.021, t = 2 years,

Also, interest earned compound annually,

Thus, amount,

A=9000(1+0.021)^2 = 9000(1.021)^2 = \$ 9381.969

So, interest earned = A - P = 9381.969 - 9000 = $ 381.969,

b. In Kings Savings,

P = $ 9000, r = 2.01% = 0.0201, t = 2 years,

Also, interest earned compound continuously,

Thus, amount,

A=9000e^{0.0201\times 2} = \$ 9369.171

So, interest earned = A - P = 9369.171 - 9000 = $ 369.171,

c. ∵ 369.171 > 381.969

Thus, King saving pays higher interest.

d. Since, the other factors might affect Whitney's choice besides interest would be reliability.

5 0
2 years ago
. The monthly worldwide average number of airplane crashes of commercial airlines is 2.2. What is the probability that there wil
grigory [225]

Answer:

Probability (N more than 2) = 0.3773

Step-by-step explanation:

Given:

Average number of crashes (N) = 2.2

Find:

Probability (N more than 2)

Computation:

Probability (N more than 2) = [1-P(N=0)-P(N=1)-P(N=2)]

Probability (N more than 2) = [1 - e⁻²°² - 2.2e⁻²°² - (2.2²e⁻²°²)/2]

Probability (N more than 2) = 0.3773

7 0
2 years ago
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