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ratelena [41]
3 years ago
8

During the school year, each student planted 2 x 10^2 trees as part of a community service project. If there are 3.5 x 10^3 stud

ents in the school, how many trees did they plant in total?

Mathematics
1 answer:
amm18123 years ago
4 0

Answer:

Total number of trees planted =  7\times 10^{5} trees

Step-by-step explanation:

Trees planted by each student = 2\times 10^2

Total number of students = 3.5\times 10^3

Using unitary method to find total number of trees planted by all the students in school.

1 student plants = 2\times 10^2 trees

3.5\times 10^3 student would plant = (2\times 10^2)\times (3.5\times 10^3)

We apply the product rule of exponents to multiply [a^xa^y=a^{x+y}]

⇒ (2\times 3.5)\times(10^2\times 10^3)

⇒ 7\times 10^{2+3}

⇒ 7\times 10^{5} trees

Total number of trees planted =  7\times 10^{5} trees

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Barron's reported that the average number of weeks an individual is unemployed is 17.5 weeks. Assume that for the population of
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Answer:

P(16.5

And using the normal standard table or excel we find the probability:

P(-1.768< Z< 1.768) = P(Z

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 avergae number of weeks an individual is unemployed of a population, and for this case we know the distribution for X is given by:

X \sim N(17.5,4)  

Where \mu=17.5 and \sigma=4

Since the distribution for X is normal then, the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu= 17.5, \frac{\sigma}{\sqrt{n}}= \frac{4}{\sqrt{50}}=0.566)

We select a sample of n =50 people. And we want to find the following probability

P(16.5

And using the normal standard table or excel we find the probability:

P(-1.768< Z< 1.768) = P(Z

4 0
3 years ago
In baseball, the length of the path between each pair of consecutive bases is 90 feet. The paths form right angles. How far does
Tresset [83]
This question boils down to this:
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The key to this question is the properties of squares.
All of the angles in a square are right, (90°) but that diagonal is going to bisect two of those into 45° angles.
Now we have two triangles, each with angle measures of 45°, 45°. and 90°.
(an isoceles right triangle)

This 45-45-90 tirnalge is one of two special triangles (the other being the 30-60-90) and here is its special property: the sides opposite these angles can be put as x, x, and x√2 respectively. Why? Well, we know that our triangle is isoceles (the congruent base angles ⇔ congruent sides) and so we call those x...by the Pythagorean theorem...a² + b² = c²...2x² = c²...x√2 = c!

In our case here, that diagonal, being the hypotenuse of our triangle, is going to be 90√2 feet, or approximately 127.3 feet.
6 0
3 years ago
Please help me again
shusha [124]

Answer:

BC is 25 units

Step-by-step explanation:

AB = AC

4x + 4 = 6x - 14

4x + 4 - 4x + 14 = 6x - 14 - 4x + 14

18 / 2 = 2x / 2

9 = x

2(9) + 7

18 + 7

25

Answer:  BC is 25 units

5 0
3 years ago
10.4, 10.3, 11.7, 11.1, 8.0, 4.4, 2.6, 1.8, 2.5 4.4,
Lyrx [107]

Answer:

Step-by-step explanation:

Median: 7.65

Mean: 7

Mode: 4.4

Range: 9.9

4 0
3 years ago
Read 2 more answers
What is the solution: <br><br> 256x + 2 = 43x + 9
ruslelena [56]

<u>Answer:</u>

x = \bf \frac{7}{213}

<u>Step-by-step explanation:</u>

To find the solution to the equation, we have to rearrange the equation to make x the subject:

256x + 2 = 43x + 9

⇒ 256x + 2 - 2 = 43x + 9 - 2             [Subtracting 2 from both sides]

⇒ 256x = 43x + 7

⇒ 256x - 43x = 43x + 7 - 43x           [Subtracting 43x from each side]

⇒ 213x = 7

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⇒ x = \bf \frac{7}{213}

3 0
1 year ago
Read 2 more answers
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