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3 years ago

Write the equation of the line that passes through the point (-9,10) and is parallel to the y axis

Mathematics

1 answer:

katen-ka-za [31]3 years ago

4 0

Answer:

Step-by-step explanation:

The equation of any line parallel to the y axis is y = y₀

where y₀ is the y-coordinate of any point from the line

(and the y-intercept of the line)

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Suppose that 20% of the employees of a given corporation engage in physical exercise activities during the lunch hour. Moreover,

Harlamova29_29 [7]

Answer:

a) 0.152 = 15.2% probability that this person is a female who engages in physical exercise activities during the lunch hour.

b) 0.248 = 24.8% probability that this person is a female who does not engage in physical exercise activities during the lunch hour.

Step-by-step explanation:

Question a:

20% of employees engage in physical exercise.

This 20% is composed by:

8% of 60%(males)

x% of 100 - 60 = 40%(females).

Then, x is given by:

$0.08*0.6 + 0.4x = 0.2$

$0.4x = 0.2 - 0.08*0.6$

$x = \frac{0.2 - 0.08*0.6}{0.4}$

$x = 0.38$

0.38 = 38%

Probability of being a female who engages in exercise:

40% are female, 38% of 40% engage in exercise. So

0.38*0.4 = 0.152

0.152 = 15.2% probability that this person is a female who engages in physical exercise activities during the lunch hour.

B. If we choose an employee at random from this corporation,what is the probability that this person is a female who does not engage in physical exercise activities during the lunch hour?

40% are female, 100% - 38% = 62% of 40% do not engage in exercise. So

0.62*0.4 = 0.248

0.248 = 24.8% probability that this person is a female who does not engage in physical exercise activities during the lunch hour.

3 0

3 years ago

WILL GIVE BRAINLIEST AND 100 PNTS!! Which of the tables represents a function? Table A Input Output 5 3 5 2 4 1 Table B Input Ou

expeople1 [14]

Answer:

Table B

Step-by-step explanation:

Table A Input Output

5 3

5 2

4 1

Has an input that goes to 2 different outputs, not a function

Table B Input Output

1 2

3 2

5 3

one to one relation which is a function

Table C Input Output

0 0

1 2

1 3

Has an input that goes to 2 different outputs, not a function

Table D Input Output

4 2

4 3

4 4

Has an input that goes to 2 different outputs, not a function

4 0

3 years ago

What is the slope of a line that passes through the origin and the point (-2,1)?

Mazyrski [523]

Answer:

The slope would be -1/2.

Step-by-step explanation:

Since, the midpoint of the segment joining the points P (0, -4) and B (8, 0),

= ( 4, -2 ),

Now, the slope of the line passes through the origin and the point ( 4, -2) is,

= -1/2

<h3>i think thats the answer</h3><h2> HOPE IT HELPS YOU THOUGH</h2>

8 0

3 years ago

To decrease the impact on the environment, factory chimneys must be high enough to allow pollutants to dissipate over a larger a

Komok [63]

Answer:

The probability hat the sample mean height for the 40 chimneys is greater than 102 meters is 0.1469.

Step-by-step explanation:

Let the random variable X be defined as the height of chimneys in factories.

The mean height is, μ = 100 meters.

The standard deviation of heights is, σ = 12 meters.

It is provided that a random sample of n = 40 chimney heights is obtained.

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

Then, the mean of the distribution of sample means is given by,

$\mu_{\bar x}=\mu$

And the standard deviation of the distribution of sample means is given by,

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}$

Since the sample selected is quite large, i.e. n = 40 > 30, the central limit theorem can be used to approximate the sampling distribution of sample mean heights of chimneys.

$\bar X\sim N(\mu_{\bar x},\ \sigma^{2}_{\bar x})$