What is the area of the polygon

Mathematics

1 answer:

irakobra [83]3 years ago

5 0

The area or answer is 45

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Find the midpoint of the line segment with end points (-9,3), (5,11)

denis-greek [22]

Answer:

The midpoint is (-2,7)

Step-by-step explanation:

To find the x coordinate of the midpoint, take the x coordinates of the endpoints, add them and divide by 2

(-9+5)/2 = -4/2 =-2

To find the y coordinate of the midpoint, take the y coordinates of the endpoints, add them and divide by 2

(3+11)/2 = 14/2 = 7

The midpoint is (-2,7)

8 0

3 years ago

Adult female height is normally distributed with a mean of 65.3 inches and a standard deviation of 2.32 inches. a) If an adult f

emmasim [6.3K]

Answer:

0.0423 is the probability that the adult female has a height less than 61.3 inches.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 65.3 inches

Standard Deviation, σ = 2.32 inches

We are given that the distribution of adult female height is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(adult female has a height less than 61.3 inches)

$P( x < 61.3) = P( z < \displaystyle\frac{61.3 - 65.3}{2.32}) = P(z < -1.7241)$

Calculation the value from standard normal z table, we have,

$P(x < 61.3) =0.0423 = 4.23\%$

0.0423 is the probability that the adult female has a height less than 61.3 inches.

5 0

3 years ago

Representative is paid the greater

vivado [14]

Building and solving an inequality, it is found that at a volume of sales of $11,875 he will start to earn more from the commission based compensation.

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We want to find how much in dollars he has to sell such that 8% of this amount is greater than $950.
Supposing he sells $x, 8% of this is represented by 0.08x. We want it to be greater than $950, thus, the inequality is:

$0.08x > 950$