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Rudiy27
3 years ago
10

A multiple-choice quiz has 5 questions. Each question on the quiz has 4 possible answers. How many possible outcomes are there f

or answering the 5 questions? 9 possible outcomes 20 possible outcomes 625 possible outcomes 1,024 possible outcomes
Mathematics
1 answer:
Anit [1.1K]3 years ago
8 0

Answer:

20 possible outcomes

Step-by-step explanation:

You times 5 by 4 to get 20

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A Farmer Leans a 12 ft Ladder Against A Barn. The Base of the Ladder Is 6ft From The Barn.l To The Nearest Foot, How High on the
vlada-n [284]

Answer:

10 ft to nearest foot.

Step-by-step explanation:

We use the Pythagoras theorem:

12^2 = 6^2 + h^2    where h is the height on the barn

h^2 = 12^2 - 6^2

h^2 = 144 - 36 = 102

h= √108 = 10.39

5 0
2 years ago
An engineer stands 200 feet from a tower and sights the top of the tower at a 45° angle of elevation. Find the height of the tow
Alik [6]
Drawing a diagram of a triangle may be helpful. The hypotenuse is irrelevant, but the vertical leg and the horizontal leg are useful. Since we know the engineer is looking up at a 45 degree angle from a distance of 200 feet, we can label the vertical leg the "opposite", since it is on the opposite side of the angle we are given. The horizontal leg then becomes the "adjacent". You can then use trigonometry to solve for the opposite. 
The options are:
sin(theta)= opposite/hypotenuse
cos(theta)= adjacent/hypotenuse
tan(theta)= opposite/adjacent
Since we don't care about the hypotenuse, the last equation is the one to use. The angle we are given can be substituted in for theta:
tan(45)= x/200
1.61977519= x/200
x= 323.955038 feet
6 0
3 years ago
Calculate the standard deviation. Variance = 107.76. Mean = 34.2
Llana [10]

Answer:

The standard deviation is 10.38

Step-by-step explanation:

Given;

Variance, v = 107.76

mean, x = 34.2

The standard deviation is given by;

standard deviation = √variance

standard deviation = √107.76

standard deviation =  10.381

standard deviation = 10.38 (two decimal places)

Therefore, the standard deviation is 10.38

8 0
3 years ago
Find the coordinates of the orthocenter for XYZ with X(-5,-1) Y(-2,4), Z(3,-1)
V125BC [204]

9514 1404 393

Answer:

  (-2, 2)

Step-by-step explanation:

The orthocenter is the intersection of the altitudes. The altitude lines are not difficult to find here. Each is a line through the vertex that is perpendicular to the opposite side.

Side XZ is horizontal, so the altitude to that side is the vertical line through Y. The x-coordinate of Y is -2, so that altitude has equation ...

  x = -2

__

Side YZ has a rise/run of -1/1 = -1, so the altitude to that side will be the line through X with a slope of -1/(-1) = 1. In point-slope form, the equation is ...

  y -(-1) +(1)(x -(-5))

  y = x +4 . . . . . . . . subtract 1 and simplify

The orthocenter is the point that satisfies both these equations. Using the first equation to substitute for x in the second, we have ...

  y = (-2) +4 = 2

The orthocenter is (x, y) = (-2, 2).

4 0
3 years ago
Eight more than the quotient of a number and 5 is 3
spin [16.1K]
The answer is -25 
3-8=-5
-5*5=-25
7 0
3 years ago
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