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2 years ago

A cyclist travels 17 km from home to the park.

Mathematics

1 answer:

kupik [55]2 years ago

7 0

Answer:

34 km/h

Step-by-step explanation:

speed = distance/time

Distance = 17km

Time = 0.5 or 1/2 hours because it's 30 minutes between 17:15 to 17:45, and 30 minutes is a half of an hour and you want km over hours

speed = 17/0.5

speed = 34 km/h

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If in 2003 a girl was 6 years of age then what year is it , now that she is 22?

Ede4ka [16]

If she was 6 in 2003, that means she was born in 1997. That means when she is 22, the year is 2019.

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2 years ago

The graph shows a probability distribution. What is P(X<5)

Thepotemich [5.8K]

Answer:

P(x < 5) = 0.70

Step-by-step explanation:

Note: The area under a probability "curve" must be = to 1.

Finding the sub-area representing x < 5 immediately yields the desired probability.

Draw a dashed, vertical line through x = 5. The resulting area, on the left, is a trapezoid. The area of a trapezoid is equal to:

(average length)·(width, which here is:

2 + 5

----------- · 0.02 = (7/2)(0.2) = 0.70

Thus, P(x < 5) = 0.70

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2 years ago

7. Which dimensions result in the minimum perimeter for a rectangle with area 42.0 cm2?

natali 33 [55]

9514 1404 393

Answer:

7. d. l = 6.48 cm, w = 6.48 cm

8. d. square

Step-by-step explanation:

For a given area, the perimeter can always be shortened by reducing the length of the long side and increasing the length of the short side. When you get to the point where you can't do that, then you have the minimum perimeter. You will reach that point when the sides are the same length: the rectangle is a square.

7. In light of the above, the best dimensions are √42 ≈ 6.48 cm for length and width.

8. In light of the above, the shape is a square.

_____

The attached graph shows the length of one side (x) and the associated perimeter. The other side is 42/x, which will also be 6.48.

8 0

2 years ago

What is the area of the base.(area=6 square in.x 5 in.

Murljashka [212]

Answer:

30 square inch

Step-by-step explanation:

$area \: of \: base = 6 \times 5 = 30 \: {inch}^{2} \\$

6 0

2 years ago

Write the equation 2x-3y=6in slope -intercept form

Tcecarenko [31]

Answer:

y = 2/3 x -2

Step-by-step explanation:

Slope intercept form is y = mx+b where m is the slope and b is the y intercept

We need to solve for y

2x-3y = 6

Subtract 2x from each side

2x-2x-3y=-2x+6

-3y = -2x+6

Divide by -3

-3y/-3 = -2/-3x+6 /-3

y = 2/3 x -2

The slope is 2/3 and the y intercept is -2

7 0

2 years ago