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2 years ago

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Graph (-4,5), (2,3), (-3.0). (-4,-5). (-5. 2). and (-5.3) and connect the points to form a polygon. How many sides does the poly

gon have? The polygon has sides.

1 answer:

Keith_Richards [23]2 years ago

8 0

Answer:

6.

Step-by-step explanation:

Source: Desmos.

When the points are plotted, the shape is a polygon. The polygon has 6 sides.

Picture represents the polygon shape, and its sides

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Helga and Dora were solving the following problem together. A boat left Kyuquot and headed west at 15.5 km/h. A second boat left

Romashka-Z-Leto [24]

Answer:

15.5t=18(t-0.5) is the correct answer

Step-by-step explanation:

if the first boat travels t time then the second traveld t-0.5 time to take over

3 0

3 years ago

The diagram below shows the rectangle PLUM.

Illusion [34]

Answer:

Area of rectangle PLUM = 75.00 square units

Step-by-step explanation:

Since diagonal of rectangle divides the rectangle into two equal triangles,

Therefore, area of the rectangle PLUM = 2× area of triangle PLM

By the mean proportional theorem,

In ΔPLM,

AP² = AM × AL

6² = AM × 8

AM = $\frac{36}{8}$

AM = 4.5 units

Area of PLM = $\frac{1}{2}(\text{Base})(\text{height})$

= $\frac{1}{2}(ML)(AP)$

= $\frac{1}{2}(8 + 4.5)(6)$

= 12.5 × 3

= 37.5 units²

Now area of rectangle PLUM = 2×37.5 = 75 units²

Therefore, area of the rectangle is 75.00 square units.

3 0

3 years ago

What is the mean of the following data values?<br> 22, 37, 49, 15, 92

attashe74 [19]

Answer:

43

Step-by-step explanation:

First, you have to add 22+37+49+15+92 to get 215. To find the mean, you need to divide by how much numbers there are (5). So 215 divided by 5 is 43!

7 0

3 years ago

Read 2 more answers

A circular pool is 3.5 meters deep and has a radius of 9 meters. What is the volume

mote1985 [20]

Answer:

$890.75m^3$

Step-by-step explanation:

Step one:

given data

heigth/depth = 3.5m

radius= 9m

Step two:

The shape is that of a cylinder

Hence the volume of the pool is

$V= \pi r^2h$

substitute

$V= 3.142*9^2*3.5\\\\V=890.75 m^3$

7 0

3 years ago

Human body temperatures have a mean of 98.20° F and a standard deviation of 0.62° F. Sally's temperature can be described by z =

irina1246 [14]

Answer:

Sally's temperature is 97.27 °F.

Step-by-step explanation:

All the information given in the question tells us that the human body temperatures are normally distributed with a population's mean = 98.20°F and a standard deviation = 0.62°F.

The question gives us Sally's temperature in a <em>z-score</em>. We have to remember that the <em>standard normal distribution</em> is a particular case of a <em>normal distribution</em> where the mean = 0 and the standard deviation = 1.

Using <em>the standard normal distribution,</em> we can determine every probability associated with a normal distribution "transforming" the raw scores, coming from normally distributed data, into z-scores.

A z-score gives us the distance from the population's mean and is in standard deviation units. So, a z = 1.5 tells us that the value is 1.5 standard deviations <em>above the mean</em>. Conversely, a z = -1.5 tells us that the raw score is also 1.5 standard deviation from the mean, but in the opposite direction, that is, <em>below the mean</em>.

The formula for a z-score is as follows:

$\\ z = \frac{x - \mu}{\sigma}$ (1)

Where

$\\ x\;is\;the\;raw\;score$ .

$\\ \mu\;is\;the\;population\;mean$ .

$\\ \sigma\;is\;the\;population\;standard\;deviation$ .

Then to find <em>x </em>(or the raw score, that is, Sally's temperature), we need to solve the formula (1) for it to finally solve the question.

Then

$\\ \mu = 98.20^\circF$ °F

$\\ \sigma = 0.62^\circF$ °F

$\\ z = -1.5$

Thus (with no units)

$\\ -1.5 = \frac{x - 98.20}{0.62}$

$\\ (-1.5*0.62) = x - 98.20$

$\\ (-1.5*0.62) + 98.20 = x$

$\\ x = (-1.5*0.62) + 98.20$

$\\ -0.93 + 98.20$

$\\ x = 97.27$ °F

Thus, Sally's temperature is $\\ x = 97.27$ °F (rounding the answer to the nearest hundredth).

8 0

3 years ago

Read 2 more answers