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geniusboy [140]
3 years ago
13

Lenny worked 7 hours on Wednesday, 6 hours on Thursday, and 9 hours on Friday. His gross pay for all three days was $196.90.

Mathematics
1 answer:
tatyana61 [14]3 years ago
5 0

Answer:

$8.95

Step-by-step explanation:

you add 7+6+9=22 196.90 divided by 22 is 8.95 hope this helps

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Cindy is growing plants for a science project. During the project, one plant grows from a height of 7 cm to 10.85 cm. What is th
Leto [7]

Answer:

Percentage increase in the height is 55%.

Step-by-step explanation:

Since Cindy is growing plants for a science project. During the project Cindy found that one plant grows from 7 cm to 10.85 cm.

We have calculate percent increase in the height of the plant.

We know formula to calculate the percentage is

% Increase in the height = Net increase in the height×100/Initial length of the plant

                                         = \frac{(10.85-7)100}{7}= \frac{(3.85)(100)}{7}=\frac{385}{7}= 55%

Therefore % increase in the height of the plant is 55%.

8 0
3 years ago
Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, nor
iren2701 [21]

Answer:

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu,0.08)  

Where \mu and \sigma=0.08

Since the distribution for X is normal then the  we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard error is given by:

SE= \frac{0.08}{\sqrt{24}}= 0.0163

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu,0.08)  

Where \mu and \sigma=0.08

Since the distribution for X is normal then the  we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard error is given by:

SE= \frac{0.08}{\sqrt{24}}= 0.0163

8 0
3 years ago
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