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2 years ago

Right triangle, slant side 20, short side 8, what is the other side?

Mathematics

1 answer:

choli [55]2 years ago

5 0

It's also 8, a right triangle has two equal sides, and the slant.

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A town's population has been growing linearly. In 2003 the population was 47,000. The population has been growing by 1200 people

blsea [12.9K]

Answer:

Step-by-step explanation:

The population in 2003= 47000

Since the population increase by 1200 every year,

in 2004 the population will be 47000+1200

in 2005 the population will be 47000+(1200+1200) which is the same as

47000+2(1200) where 2 is 2 years after 2003,

Therefore the population x years after 2003 is 47000+x(1200).

P= 47000+1200x

b) The population at 2009 which is 6 years after 2003 will be

47000+(1200)*6=47000+7200= 54200

The population at 2009 is 54200,

7 0

2 years ago

ABDF is a regular hexagon. What is the measure of angle A?

dolphi86 [110]

$720 \div 6 = 120$

4 0

2 years ago

What is the linear equation in standard form: 3x = -5y + 7

Licemer1 [7]

Answer:

Step-by-step explanation:

4 0

2 years ago

Find (f o g)(x)<br> Consider f(x) = x + 7 and g(x) = x2 –1

natima [27]

<h3>Answer: x^2 + 6</h3>

Work Shown:

(f o g)(x) = f(g(x))

f(x) = x + 7

f( g(x) ) = g(x) + 7 ... replace every x with g(x)

f( g(x) ) = x^2-1 + 7 .... plug in g(x) = x^2-1

f( g(x) ) = x^2 + 6

(f o g)(x) = x^2 + 6

3 0

2 years ago

Joe used a project management software package and has determined the following results for a given project.: Expected completio

statuscvo [17]

Answer:

0.1151 = 11.51% probability of completing the project over 20 days.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Expected completion time of the project = 22 days.

Variance of project completion time = 2.77

This means that $\mu = 22, \sigma = \sqrt{2.77}$