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nikklg [1K]
3 years ago
11

Variable y varies directly with variable x, and y = 16 when x = 12. Enter the constant of variation in lowest terms. y = x

Mathematics
1 answer:
andrew11 [14]3 years ago
5 0
k = 1.33 or 1 1/3

Formula of Direct variation. Where y is equal to the product of the constant of variation times x.

y = kx
16 = k * 12
k = 16/12
k = 1 4/12 = 1 1/3

Constant of variation is 1 1/3 or 1.33.
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Graph y=-3x +7 and the line that is<br> parallel to it that passes through (4,1).
Brums [2.3K]
Y = -3x + 13

Steps and the graph are on paper

6 0
3 years ago
The​ life, in​ years, of a certain type of electrical switch has an exponential distribution with an average life β=44. If 100 o
Bond [772]

Answer:

0.9999

Step-by-step explanation:

Let X be the random variable that measures the time that a switch will survive.

If X has an exponential distribution with an average life β=44, then the probability that a switch will survive less than n years is given by

\bf P(X

So, the probability that a switch fails in the first year is

\bf P(X

Now we have 100 of these switches installed in different systems, and let Y be the random variable that measures the the probability that exactly k switches will fail in the first year.

Y can be modeled with a binomial distribution where the probability of “success” (failure of a switch) equals 0.0225 and  

\bf P(Y=k)=\binom{100}{k}(0.02247)^k(1-0.02247)^{100-k}

where  

\bf \binom{100}{k} equals combinations of 100 taken k at a time.

The probability that at most 15 fail during the first year is

\bf \sum_{k=0}^{15}\binom{100}{k}(0.02247)^k(1-0.02247)^{100-k}=0.9999

3 0
3 years ago
Write the number 5 million 4 thousand three hindered in standard form
Sphinxa [80]

Answer:

The ans is 5004300

In standard form,

5004300. Five Millon four thousand and three hundred.

(hope that helped can i plz have brainlist it wil make my day :D hehe)

Step-by-step explanation:

7 0
3 years ago
SNAGG-PERRY RAMYA A store sells a shirt that is discounted by 10%. A coupon is used for an additional 10% off the discounted pri
Fittoniya [83]

Answer:

20% off because 10+10=20 and you have to have 100% as the most possible and 100-80=20

and 80% is how much of the original cost u r paying for

Step-by-step explanation:

8 0
3 years ago
What is 13i⋅(1−5i)? like i have no idea
madam [21]

Answer:

65 + 13i

Step-by-step explanation:

reminder that i² = - 1

13i(1 - 5i) ← multiply each term in the parenthesis by 13i

= 13i - 65i²

= 13i - 65(- 1)

= 13i + 65

= 65 + 13i ← in standard form

4 0
3 years ago
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