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Stolb23 [73]
2 years ago
14

A farmer plants the same amount every day, adding up to 1 3/4 acres at the end of the year. If the year is 1/2 over, how many ac

res has the farmer planted?
Mathematics
1 answer:
Zepler [3.9K]2 years ago
4 0
Answer:
7/8 Acre

First, convert the mixed number 1 3/4 into an improper fraction. This will be 7/4. Now, divide this by two because the year is half over. Doing this you get 7/8.
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Assume the readings on thermometers are normally distributed with a mean of 0 degrees C and a standard deviation of 1.00 degrees
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Answer: 0.0035

Step-by-step explanation:

Given : The readings on thermometers are normally distributed with a mean of 0 degrees C and a standard deviation of 1.00 degrees C.

i.e.  \mu=0 and \sigma= 1  

Let x denotes the readings on thermometers.

Then, the probability that a randomly selected thermometer reads greater than 2.17 will be :_

P(X>2.7)=1-P(\xleq2.7)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{2.7-0}{1})\\\\=1-P(z\leq2.7)\ \ [\because\ z=\dfrac{x-\mu}{\sigma}]\\\\=1-0.9965\ \ [\text{By z-table}]\ \\\\=0.0035

Hence, the probability that a randomly selected thermometer reads greater than 2.17 = 0.0035

The required region is attached below .

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A<br> 9x - 40<br> B<br> 3x + 20<br> x = [?]
Mrrafil [7]

Answer:

x = 10

Step-by-step explanation:

9x - 40 = 3x + 20

<u>9</u><u>x</u><u> </u><u>-</u><u> </u><u>3</u><u>x</u> - 40 = <u>3x - 3x</u> + 20

6x - 40 = 20

6x <u>-</u><u> </u><u>40</u><u> </u><u>+</u><u> </u><u>40</u> = <u>20</u><u> </u><u>+</u><u> </u><u>40</u>

6x = 60

<u>6x</u><u> </u><u>/</u><u> </u><u>6</u> = <u>60</u><u> </u><u>/</u><u> </u><u>6</u>

x = 10

Now plug the x value in the equation to make the statement true that A is parallel to B.

9x - 40

<u>9</u><u>(</u><u>10</u><u>)</u> - 40

<u>90</u><u> </u><u>-</u><u> </u><u>40</u>

50

3x + 20

<u>3</u><u>(</u><u>10</u><u>)</u> + 20

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Therefore, x = 10 making the statement true that A is parallel to B. Hope this helps and stay safe, happy, and healthy, thank you :) !!

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