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Anastasy [175]
3 years ago
15

Write an equation of the direct variation that includes the point (5,1)

Mathematics
2 answers:
V125BC [204]3 years ago
5 0

Answer:

y = 5x

Step-by-step explanation:

X=5 and Y=1

Direct variation can be represented by the equation y=kx.

Therefore,

1 = k(5)

5 = k

Now you use, k = 5 to write the direct variation equation.

Which gives you the answer y = 5x

8090 [49]3 years ago
4 0

Answer:

y = 1/5k

Step-by-step explanation:

y = kx

1= k(5)

1/5 = l

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2 years ago
D/5 = -6 please help
natima [27]

Answer:

Answer given below

Step-by-step explanation:

D = - 6 x 5 = - 30

8 0
2 years ago
A manufacturing company regularly conducts quality control checks at specified periods on the products it manufactures. Historic
Rina8888 [55]

Answer:

The probability that none of the LED light bulbs are​ defective is 0.7374.

Step-by-step explanation:

The complete question is:

What is the probability that none of the LED light bulbs are​ defective?

Solution:

Let the random variable <em>X</em> represent the number of defective LED light bulbs.

The probability of a LED light bulb being defective is, P (X) = <em>p</em> = 0.03.

A random sample of <em>n</em> = 10 LED light bulbs is selected.

The event of a specific LED light bulb being defective is independent of the other bulbs.

The random variable <em>X</em> thus follows a Binomial distribution with parameters <em>n</em> = 10 and <em>p</em> = 0.03.

The probability mass function of <em>X</em> is:

P(X=x)={10\choose x}(0.03)^{x}(1-0.03)^{10-x};\ x=0,1,2,3...

Compute the probability that none of the LED light bulbs are​ defective as follows:

P(X=0)={10\choose 0}(0.03)^{0}(1-0.03)^{10-0}

                =1\times 1\times 0.737424\\=0.737424\\\approx 0.7374

Thus, the probability that none of the LED light bulbs are​ defective is 0.7374.

6 0
3 years ago
I NEED HELP ASAP!! BRAINLIEST TO BEST ANSWER!!!!!!!!!!!!!! The moving van traveled 455 miles in eight hours and 45 minutes what
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Answer:

52 miles per hour

Step-by-step explanation:

455 miles in 8 hr 45 min =

455 miles in 8.75 hours

\frac{455 miles}{8.75 hours} = \frac{x}{1 hour}

8.75(x) = 455(1)

\frac{8.75(x)}{8.75} = \frac{455(1)}{8.75}

x = 52

3 0
3 years ago
A triangle has side lengths of 12 millimeters, 17 millimeters, and 13 millimeters. Is this triangle equilateral?
nordsb [41]
No, this triangle is not equilateral. This triangle is scalene. All three sides are of different lengths, which is why it's scalene. In order to have an equilateral triangle, all three sides need to be the same length. 
7 0
3 years ago
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