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3 years ago

If all the trees in a forested area are cut down, in what two ways will the air

Mathematics

1 answer:

ExtremeBDS [4]3 years ago

8 0

Answer:

Option B and Option C

Step-by-step explanation:

If all trees in a forested area are cut down, in the following ways the air composition will change in that area:

Carbon dioxide levels increase

Oxygen levels decrease

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Construct a 99% confidence interval for the population mean, mu. Assume the population has a normal distribution. A group of 1

Zarrin [17]

Answer:

99% confidence interval for the population mean is [19.891 , 24.909].

Step-by-step explanation:

We are given that a group of 19 randomly selected students has a mean age of 22.4 years with a standard deviation of 3.8 years.

Assuming the population has a normal distribution.

Firstly, the pivotal quantity for 99% confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean age of selected students = 22.4 years

s = sample standard deviation = 3.8 years

n = sample of students = 19

$\mu$ = population mean

<em>Here for constructing 99% confidence interval we have used t statistics because we don't know about population standard deviation.</em>

So, 99% confidence interval for the population mean, $\mu$ is ;

P(-2.878 < $t_1_8$ < 2.878) = 0.99 {As the critical value of t at 18 degree of

freedom are -2.878 & 2.878 with P = 0.5%}

P(-2.878 < $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ < 2.878) = 0.99

P( $-2.878 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X - \mu}$ < $2.878 \times {\frac{s}{\sqrt{n} } }$ ) = 0.99

P( $\bar X -2.878 \times {\frac{s}{\sqrt{n} }$ < $\mu$ < $\bar X +2.878 \times {\frac{s}{\sqrt{n} }$ ) = 0.99

<u>99% confidence interval for</u> $\mu$ = [ $\bar X -2.878 \times {\frac{s}{\sqrt{n} }$ , $\bar X +2.878 \times {\frac{s}{\sqrt{n} }$ ]

= [ $22.4 -2.878 \times {\frac{3.8}{\sqrt{19} }$ , $22.4 +2.878 \times {\frac{3.8}{\sqrt{19} }$ ]

= [19.891 , 24.909]

Therefore, 99% confidence interval for the population mean is [19.891 , 24.909].

6 0

3 years ago

What is the least common multiple of 9 and 8

leonid [27]

Answer:

72 is the least common multiple

6 0

3 years ago

Read 2 more answers

You write down the temperatures at different times on one of the match days. Time Temperature Midnight -6°C 4 am -8°C 8 am -4°C

fenix001 [56]

The highest is 7 degrees and lowest is -8 so subtract and you get a difference of 15 degrees

5 0

3 years ago

Read 2 more answers

1. A group of workers is harvesting berries at a constant rate. An equation that represents the number of baskets of berries the

lbvjy [14]

Answer: (a) The slope of the line is 5 and the y-intercept is (0,10). (b) The rate of change is 5 and the initial amount is 10.

Explanation:

The given equation is,

$y=5x+10$ .... (1)

(a)

The slope intercept form of the a line is,

$y=mx+b$ .... (2)

Where, m is slope and (0,b) is y-intercept.

On comparing (1) and (2) we get,

$m=5, b=10$

Therefore, the slope is 5 and the y-intercept is (0,10).

(b)

The rate of change is also known as slope therefore the rate of change is 5.

To find the initial amount put x=0 in the given equation.

$y=5(0)+10=10$

Therefore, the initial value is 10.

The rate of change represents the number of baskets of berries the workers picked increased by 5 units per unit of time.

The initial amount shows the number of baskets of berries the workers picked before the workers starts harvesting.

(c)The graph is shown below.

Since x represents the time in hours, therefore x is always greater that or equal to 0.

7 0

3 years ago

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Silcon-28 has a mass-per-nucleon of 1.003 amu. Iron-56 has a mass-per-nucleon of 0.99723 amu. Cadmium-112 has a mass-per-nucleon

Ber [7]

Answer:

Step-by-step explanation:

4 0

3 years ago