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Ilia_Sergeevich [38]

3 years ago

15

Solve the system of linear equations. separate the x- and y- values with a coma. -8x=72-16y

1 answer:

serious [3.7K]3 years ago

8 0

Let's use the "elimination by addition/subtraction" method to solve this system for x and y.

<span> -8x=72-16y
4x=-92+16y <= Mult. all 3 terms by 2: 8x = - 184 + 32y

Now combine the following, column by column:

</span><span> -8x= 72-16y
</span>8x = - 184 + 32y
-----------------------
0 = -112 + 16y. Solving for y, 16y = 112, and y = 7.

Now subst. 7 for y in either of the original equations and calculate x:

<span>4x=-92+16(7) => 4x = -92 + 112 = 20. Then x = 5.

Solution is 5, -7 (or, better written) (5, - 7).</span>

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Help pls <br><br> solve the systems of equations x-y=9 and -9x- 3y = 39

beks73 [17]

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3 years ago

What is the sum of 1/8 + 5/16 +3/8 = and can I please have step by step

AlekseyPX

Answer:

13/16

Step-by-step explanation:

(1/8) + (5/16) + (3/8) =

The denominator 8 goes into 16 twice so multiply the top and bottom numbers by 2

(1 x 2) + (5/16) + (3 x 2)

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I hope this helps!

3 0

2 years ago

The firm is requested to send 3 employees who have positive indications of asbestos on to a medical center for further testing.

Rus_ich [418]

Answer:

0.0645 = 6.45% probability that exactly 10 employees will be tested in order to find 3 positives

Step-by-step explanation:

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 combinations 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.

40% of the employees have positive indications of asbestos in their lungs

This means that $p = 0.4$

a) Find the probability that exactly 10 employees will be tested in order to find 3 positives

2 within the first 9( $P(X = 2)$ when $n = 9$ ), and the 10th, with 0.4 probability. So

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

$P(X = 2) = C_{9,2}.(0.4)^{2}.(0.6)^{7} = 0.1612$

0.4*0.1612 = 0.0645

0.0645 = 6.45% probability that exactly 10 employees will be tested in order to find 3 positives

4 0

3 years ago