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jeka94
2 years ago
14

The figure is made up of a square and a rectangle. Find the area of the shaded region.

Mathematics
1 answer:
sergij07 [2.7K]2 years ago
6 0

Answer:

9

Step-by-step explanation:

second box is nine because it is half of the 3 x 6 part

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The times of the runners in a marathon are normally distributed, with a mean of 3 hours and 50 minutes and a standard deviation
balu736 [363]

Answer: 0.16

Step-by-step explanation:

Given that the run times provided are normally distributed ;

Mean(x) of distribution = 3 hours 50 minutes

Standard deviation(s) = 30 minutes

The probability that a randomly selected runner has a time less than or equal to 3 hours 20 minutes

3 hours 20 minutes = (3 hrs 50 mins - 30 mins):

This is equivalent to :

[mean(x) - 1 standard deviation]

z 1 standard deviation within the mean = 0.84

z, 1 standard deviation outside the mean equals:

P(1 - z value , 1standard deviation within the mean)

1 - 0.8413 = 0.1587

= 0.16

7 0
3 years ago
PLEASE HELP FAST!!! Find the surface area of the composite figure. Round your answer to the nearest tenth if necessary.
aksik [14]

Using the surface area formula for rectangular and triangular prism, the surface area of the composite figure is: 444 m².

<h3>What is the Surface Area of the Composite Figure?</h3>

Total surface area = surface area of the top triangular prism + surface area of the bottom rectangular prism - area of the surface both share together.

Surface area of the top triangular prism = (S1 + S2+ S3)L + bh = (10 + 10 + 16)5 + (16)(6) = 276 m².

Surface area of the bottom rectangular prism = 2(wl + hl + hw) = 2·(5·16+4·16+4·5) = 328 m²

Area of the surface both share together = 2(16)(5) = 160 m²

Total surface area = 276 + 328 - 160 = 444 m².

Learn more about the surface area of triangular prism on:

brainly.com/question/16147227

#SPJ1

3 0
2 years ago
Explain how to multiply square roots
Dmitry_Shevchenko [17]

Answer:

To multiply square roots, first multiply the radicands, or the numbers underneath the radical sign. If there are any coefficients in front of the radical sign, multiply them together as well. Finally, if the new radicand can be divided out by a perfect square, factor out this perfect square and simplify it.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The volume of a cone is 339.12 if the radius is 6 meters calculate the height
Natali5045456 [20]

Answer:

9 meters

Step-by-step explanation:

V = 1/3 * pi * r^2 * h

339.12 = 1/3 * pi * 6^2 * h

h = 3 * (339.12)/(36 pi)

h = 9 meters

3 0
3 years ago
Read 2 more answers
Which of the following represents x =1/3y written in general form?
Serhud [2]

If you would like to write x = 1/3 * y in general form, you can do this using the following steps:

The general form of the equation is: ax + by + c = 0.

x = 1/3 * y

x - 1/3 * y = 0


The correct result would be x - 1/3 * y = 0.

4 0
3 years ago
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