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andrey2020 [161]
2 years ago
14

A line with a slope of -4 has a coordinate of (0,3). If the other coordinate is (6,t),

Mathematics
1 answer:
s2008m [1.1K]2 years ago
7 0

Answer:

Alrighty! So this is what we know:

Slope (m) = (-4)

Co-ordinate (0,3)

Co-ordinate 2 (6,t)

t = ?

Let's find our equation...

y=mx+b <-- just plug what we know in...

3=(-4)0+b

3=0+b

b=3

We just found b! woohoo

Now what is t? t is a value we need to know WHICH IS the y value of a co-ordinate that corresponds to when x is 6, as we know a co-ordinate is expressed as --> (x value, y value).

SO-

t=y

plug it in our equation...

y=mx+b

t=(-4)x+3

t=(-4)(6)+3

t=(-24)+3

t=(-21)

SOOOOOOOO WE HAVE OUR T!! just write a therefore statement like "therefore the value of t is -21." and you're set! hope this helped, any questions? ask in the comment section. :)

Step-by-step explanation:

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DiKsa [7]

Yes that is correct.

6 0
3 years ago
Alex purchased a new car for $28,000. The car's value depreciates 7.25% each year. What will be the value of the car 5 years aft
Anestetic [448]
A = 28000(0.9275)^5

a = 19219

$19,219 is the answer

Hoped this helped 
8 0
3 years ago
Suppose the number of messages that an inbox receives may be modeled by a Poisson distribution. If the average number of message
docker41 [41]

Answer:

0.36427

Step-by-step explanation:

Mean = λ = 18 messages per hour

P(X = x) = (e^-λ)(λ⁻ˣ)/x!

P(X ≤ x) = Σ (e^-λ)(λ⁻ˣ)/x! (Summation From 0 to x)

But the probability required is that the messages thay come in an hour is between 15 and 20, that is, P(15 < X < 20)

P(15 < X < 20) = P(X < 20) - P(X ≤ 15)

These probabilities will be evaluated using a cumulative frequency calculator.

P(X < 20) = 0.65092

P(X ≤ 15) = poissoncdf(18, 15) = 0.28665

P(15 < X < 20) = P(X < 20) - P(X ≤ 15) = 0.65092 - 0.28665 = 0.36427.

You can use the Poisson distribution calculator here

https://stattrek.com/online-calculator/poisson.aspx

4 0
3 years ago
Population lottery numbers: 56, 42, 19, 8, 24, 13 find the total number of samples of size 4 that can be drawn from this populat
statuscvo [17]

Answer:

The correct answer is there are 15 samples each of size 4 to choose from the population and the population mean is 27.

Step-by-step explanation:

Total number of lottery tickets = 6

Number of samples of size 4 that can be drawn from this population of 6 lottery numbers are = \left[\begin{array}{ccc}6\\4\end{array}\right] = 15.

Now the population mean is given by \frac{1}{n} × ∑ x , where n is the number of lottery tickets and ∑ x  is the sum of the lottery numbers.

Summation of the lottery ticket numbers is 162

Thus the population mean is given by \frac{162}{6} = 27.

8 0
3 years ago
(3/5y^4)^-2 simplify this please
Usimov [2.4K]
(\frac{3}{5}y^4)^{-2}=(\frac{5}{3})^2y^{4\times-2}=\frac{25}{9y^8}
8 0
3 years ago
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