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Kazeer [188]
3 years ago
6

HELPP 10 POINTS Here's a graph of a linear function. Write the equation that describes that function.

Mathematics
1 answer:
erastova [34]3 years ago
3 0

m = (y2-y1)/(x2-x1)

m = (6-4)/(4-0)

m = 2/4

y = mx + c

6 = (2/4)(4) + c

c = 4

Thus, the equation is y = (2/4)x +4

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The diameter of a dime is 17.9 millimeters. What is the area of one side of the coin? Show your work
vekshin1

Answer:

251.65 Millimeters rounded to the hundredths place.

Step-by-step explanation:

The formula for the area of a circle is A=π×r^2.

Step 1: Find r, or the radius, which is half the diameter. In this case, it is 8.95.

Step 2: Square the radius that you get. In this case, the answer is 80.1025.

Step 3: Multiply the past number by π on your calculator. Some teachers allow 3.14 but be certain that your teacher allows it. In this case, π×80.1025=251.649425534

Step 4: You've got your answer! Hope this helps!

6 0
2 years ago
Find the equation of the exponential function represented by the table below
Gennadij [26K]

Answer:

y = 3^(1 + x)

Step-by-step explanation:

Notice that each time x increases by 1, y increases by a factor of 3.

Thus, the required equation  has the form y = 3^x.

Check:  If x = 0, do we get 3?  No.  Therefore we must modify the exponent:

y = 3^(1 + x)

Check:  If x = 0, do we get 3?  3^(1 + 0) = 3 (correct)

If x = 2, do we get 27?  3(1 + 2) = 3^3 + 27 (correct)

4 0
3 years ago
A boiler has five identical relief valves. The probability that any particular valve will open on demand is 0.93. Assume indepen
noname [10]

Answer:

There is a 99.99998% probability that at least one valve opens.

Step-by-step explanation:

For each valve there are only two possible outcomes. Either it opens on demand, or it does not. This means that we use the binomial probability distribution to solve this problem.

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}.p^{x}.(1-p)^{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 p is the probability of X happening.

In this problem we have that:

n = 5, p = 0.93

Calculate P(at least one valve opens).

This is P(X \geq 1)

Either no valves open, or at least one does. The sum of the probabilities of these events is decimal 1. So:

P(X = 0) + P(X \geq 1) = 1

P(X \geq 1) = 1 - P(X = 0)

So

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

P(X = 0) = C_{5,0}.(0.93)^{0}.(0.07)^{5} = 0.0000016807

Finally

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0000016807 = 0.9999983193

There is a 99.99998% probability that at least one valve opens.

5 0
3 years ago
Read 2 more answers
Lcm of 2 and 3 very very very urgent
Licemer1 [7]

Answer: 6

Step-by-step explanation: 2x3=6 it’s the lowest multiple

5 0
2 years ago
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Find c<br> <img src="https://tex.z-dn.net/?f=a%2Ba%3D10%5C%5Ca%2Bb%3D35%5C%5Cb-z%3D5%5C%5Cz%2Ba%2Bb%2Bc%3D%2010" id="TexFormula1
marin [14]
C=-50 a=5 b=30 z=25

25+5+30+(-50)=10
6 0
3 years ago
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