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antoniya [11.8K]
3 years ago
9

If 3, x, y, -9 are in A.P, find the values of x and y.​

Mathematics
1 answer:
Serggg [28]3 years ago
6 0

Answer:

  • x = -1
  • y = -5

Step-by-step explanation:

The common difference (d) can be found using the first and 4th terms:

  a1 = 3

  a4 = a1 +d(4 -1)

  -9 = 3 +3d . . . . . simplify

  -3 = 1 + d . . . . . . divide by 3

  -4 = d . . . . . . . . . subtract 1

Then ...

  x = a1 + d = 3 -4 = -1

  y = x + d = -1 -4 = -5

The values of x and y are -1 and -5, respectively.

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The time that it takes a randomly selected job applicant to perform a certain task has a distribution that can be approximated b
storchak [24]

Answer:

A task time of 177.125s qualify individuals for such training.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by

Z = \frac{X - \mu}{\sigma}

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem, we have that:

A distribution that can be approximated by a normal distribution with a mean value of 145 sec and a standard deviation of 25 sec, so \mu = 145, \sigma = 25.

The fastest 10% are to be given advanced training. What task times qualify individuals for such training?

This is the value of X when Z has a pvalue of 0.90.

Z has a pvalue of 0.90 when it is between 1.28 and 1.29. So we want to find X when Z = 1.285.

So

Z = \frac{X - \mu}{\sigma}

1.285 = \frac{X - 145}{25}

X - 145 = 32.125

X = 177.125

A task time of 177.125s qualify individuals for such training.

7 0
3 years ago
What is the slope intercept form of 10x + 2y =8
antoniya [11.8K]

Slope intercept form is: y = mx + b


Isolate the y. First subtract 10x from both sides


10x (-10x) + 2y = 8 (-10x)


2y = -10x + 8


Isolate the y. Divide 2 from both sides and <em>all</em> terms.


(2y)/2 = (-10x + 8)/2


y = -5x + 4


y = -5x + 4 is your slope intercept form answer.



hope this helps

7 0
2 years ago
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hram777 [196]

Answer:

x=-2 y=7

Step-by-step explanation:

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