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2 years ago

On the 1st of November 2015 there were 4200 trees planted in a wood

Mathematics

1 answer:

gayaneshka [121]2 years ago

5 0

Answer:On 1st November 2016, only 3948 of these trees were still alive.

Step-by-step explanation:

Sorry if it’s wrong

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$145.75 marked up by 33% (round to the nearest cent)

Vaselesa [24]

Answer:

$189.48

Step-by-step explanation:

$145.75 + 30% × 145.75 = $145.75×1.30 ≈ $189.48

4 0

2 years ago

One invests 100 shares of IBM stocks today. He expects that there could be five possible opening prices with the respective prob

GuDViN [60]

Answer:

$E(x) = 177.130$

$Var(x) = 484.551$

$\sigma = 22.013$

Step-by-step explanation:

Given

The attached table

Solving (a): The mean

This is calculated as:

$E(x) = \sum x * p(x)$

So, we have:

$E(x) = 182.11 * 13\% + 163.88 * 19\% + 180.30 * 33\% + 216.08 * 17\% + 144.92 * 18\%$

Using a calculator, we have:

$E(x) = 177.1297$

$E(x) = 177.130$ --- approximated

The average opening price is $177.130

Solving (b): The Variance

This is calculated as:

$Var(x) = E(x^2) - (E(x))^2$

Where:

$E(x^2) = \sum x^2 * p(x)$

$E(x^2) = 182.11^2 * 13\% + 163.88^2 * 19\% + 180.30^2 * 33\% + 216.08^2 * 17\% + 144.92^2 * 18\%$

$E(x^2) = 31859.482249$

So:

$Var(x) = E(x^2) - (E(x))^2$

$Var(x) = 31859.482249 - 177.1297^2$

$Var(x) = 31859.482249 - 31374.9306221$

$Var(x) = 484.5516269$

$Var(x) = 484.551$ --- approximated

Solving (c): standard deviation

The standard deviation is:

$\sigma = \sqrt{Var(x)}$

$\sigma = \sqrt{484.5516269}$

$\sigma = 22.0125418796$

Approximate

$\sigma = 22.013$

7 0

2 years ago

If mZBGF = 152°, what is m ZAGE? A B 88° F G с E D

trapecia [35]

Step-by-step explanation:

mZBGF = 152°, what is m ZAGE?

88°

4 0

2 years ago

How do i solve for (2x/5)+1=13/5

NNADVOKAT [17]

Answer:

x = 4

Step-by-step explanation:

$\frac{2x}{5} +1 = \frac{13}{5}$
$\frac{2x+5}{5} = \frac{13}{5}$ divide both sides by 5
2x + 5 = 13 subtract 5 from both sides
2x = 8 divide both sides by 2
x = 4

5 0

2 years ago

PLEASE HELP!!!

mrs_skeptik [129]

16 Dimes and 21 Nickels

4 0

2 years ago