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3 years ago

What is the x- and y-intercepts of -x-y=1/2

Mathematics

1 answer:

yanalaym [24]3 years ago

7 0

X(-1/2,0) y(0,-1/2) will complete this

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A machine is used to fill Apple Juice bottles with juice. The machine has a known standard deviation of σ = 0.05 liters. The tar

Lina20 [59]

Answer:

The probability that the quality control manager will shut down the machine is 0.0002.

Step-by-step explanation:

We are given that a machine is used to fill Apple Juice bottles with juice. The machine has a known standard deviation of σ = 0.05 liters. The target mean fill volume is µ = 2.0 liters.

A quality control manager obtains a random sample of 50 bottles. He will shut down the machine if the sample of these 50 bottles is less than 1.95 or greater than 2.1.

Let $\bar X$ = sample mean fill volume

The z score probability distribution for sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean fill volume = 2 liters

$\sigma$ = standard deviation = 0.05 liters

n = sample of bottles = 50

Now, it is provided that he will shut down the machine if the sample of these 50 bottles is less than 1.95 or greater than 2.1.

So, Probability that the sample of these 50 bottles is less than 1.95 is given by = P( $\bar X$ < 1.95)

P( $\bar X$ < 1.95) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{1.95-2}{\frac{0.05}{\sqrt{50} } }$ ) = P(Z < -7.07) = 1 - P(Z $\leq$ 7.07)

= 1 - 0.9999 = 0.0001

Probability that the sample of these 50 bottles is greater than 2.1 is given by = P( $\bar X$ > 2.1)

P( $\bar X$ > 2.1) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ > $\frac{2.1-2}{\frac{0.05}{\sqrt{50} } }$ ) = P(Z > 14.14) = 1 - P(Z < 14.14)

= 1 - 0.9999 = 0.0001

Because the highest critical value in the z table is given as x = 4.40 for area of 0.99999.

Therefore, probability that the quality control manager will shut down the machine = 2 $\times$ 0.0001 = 0.0002.

4 0

3 years ago

5) Ziegler is using paper for an art project

lord [1]

Answer:

9.5 * 10^-2 mm

Step-by-step explanation:

To find the total thickness, we proceed to add the two thickness that we have

Mathematically, this will be;

0.025 mm + 7 * 10^-2 mm

7 * 10^-2 mm = 0.07

So we have;

0.025 mm + 0.07 mm = 0.095

In scientific notation, this is 9.5 * 10^-2 mm

6 0

3 years ago

Please Help I'm Confused.

Tatiana [17]

It examines the knowledge of the basic calculation. According to the topic, parallelogram ABCD & AB//CD
so AB=CD
Since MAB=-5 so MCD = MAB=-5 then the answer might be “-5”

6 0

3 years ago

Shira's math test included a survey question asking how many hours students spent studying for the test. The scatter plot below

andre [41]

Answer:

10x+45

Step-by-step explanation:

8 0

3 years ago

What is the rule of this question

NARA [144]

It adds 13
11 + 13 =24