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yarga [219]
4 years ago
10

Please answer this question

Mathematics
1 answer:
Marizza181 [45]4 years ago
8 0

Answer:

C, The marble is 3 times as likely to be black as it is to be white.

Step-by-step explanation:

The probability of a marble being drawn is:

number of marbles of that color/total number of marbles

Find total number of marbles

5+8+4+15= 35

So the probability of drawing:

white: 5/32

polka dot: 8/32

striped: 4/32

black: 15/32

The probability of drawing white, polka dot, or striped is obviously different, so A is wrong.

The probability of drawing every color but black is 5/32 + 8/32 + 4/32 = 17/32, which is more than the chance of drawing black, so B is wrong.

The probability of drawing black is 15/32, and that is 3 times larger than the probability of drawing white (5/32), so C is correct.

The probablility of drawing a polka dot is 8/32, which is not four times as large as stripe (4/32), so D is wrong.

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0.73 (rounded to hundredths)

Step-by-step explanation:

cos(43) = 0.73135... = 0.73 rounded to hundredths

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What is the area of ∆DEF shown in the figure? Show your work.
Romashka [77]

Congratulations on posting the figure.

Area is (1/2) * base * height, here

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3 0
4 years ago
Starting from home john rides his bike to school and then to the library. How far, in kilometers does John ride his bike? home (
Elza [17]

Answer:

9.385 km

Step-by-step explanation:

Given the points :

home (1 -3) school (-1, 2) library (3, 2)

Distance between Home and school :

Distance = √(x2 - x1)² + (y2 - y1)²

Home = (1, - 3) ; School = (-1, 2)

x1 = 1 ; y1 = - 3 ; x2 = - 1 ; y2 = 2

Distance = √(-1 - 1)² + (2 - (-3))²

Distance = √-2² + 5²

Distance = √4 + 25

= 5.385 km

From school to library :

School = (-1, 2) ; library (3, 2)

x1 = - 1 ; y1 = 2 ; x2 = 3 ; y2 = 2

Distance = √(x2 - x1)² + (y2 - y1)²

Distance = √(3 - (-1))² + (2 - 2)²

Distance = √4² + 0²

Distance = √16 + 0

Distance = √16

Distance = 4 km

Total distance in kilometers from home to library :

(5.385 + 4) km = 9.385km

3 0
3 years ago
if a house is 20 ft high and its picture has a height of 2.3 inches and a width of 5.1 inches, how wide is the actual house?
Murljashka [212]
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20 ft = 240 inches

240/2.3 x 5.1 = 532 inches

532 / 12 = 44.3 ft

Actual house is 20 ft high and 44 feet wide
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