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Whitepunk [10]
3 years ago
5

There are 10 yellow, 6 green, 9 orange, and 5 red cards in a stack of cards turned facedown. Once a card is selected, it is not

replaced. Find the probability of selecting a red card and then an orange card. Please select one answer.
3/58
9/29
1/6
Mathematics
1 answer:
Lilit [14]3 years ago
5 0

Answer:

9/29

Step-by-step explanation:

If you add all of the cards together, you will get thirty. But when you take one red card out, you get 29. Since there are 9 orange cards, then there is a 9 out of 29 chance.

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A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks along the x-axis from the spotlight toward the bui
tester [92]

Answer:

(dy/dt) = - 0.45 m/s (the minus sign indicates that the height of the shadow decreases as the man moves towards the wall).

Step-by-step explanation:

An image of the problem is presented in the attached file to this solution. The image shows the exact moment when the 2m tall man is 4m away from the wall.

First of, when the man is 4m away from the wall, he is 8m away from the spotlight, that is, x = 8m

Using the concept of similar triangles, we can obtain the value of y at this point.

(x/2) = [(x+4)/y]

x = 8

(8/2) = (12/y)

y = 3m when x = 8m

From the image,

But generally, for x and y at any point,

(x/2) = (12/y)

xy = 24

Differentiating with respect to t

(d/dt)(xy) = (d/dt)12

y (dx/dt) + x (dy/dt) = 0

x (dy/dt) = - y (dx/dt)

At x = 8m, y = 3m, (dx/dt) = 1.2 m/s

8 (dy/dt) = - 3 (1.2)

(dy/dt) = - 3.6/8 = - 0.45 m/s

The minus sign indicates that the height of the shadow decreases as the man moves towards the wall.

7 0
3 years ago
Helpppp pleaseee ! i don’t understand
Trava [24]

Answer:

40

Step-by-step explanation:

It’s same as <5

6 0
2 years ago
Can predictions be made of a scatterplot that shows no
dolphi86 [110]

Answer:

no

Step-by-step explanation:

No, you can't make a prediction from a scatter plot that doesn't show any associations. There have to be associations in order to form a trend. If there is no trend, there is no way to make a prediction. A scatter plot is similar to a line graph where you can mark the appropriate data points in order to see if a trend is developing.

6 0
3 years ago
Read 2 more answers
WRITE DOWN THE FALUE OF 7
Maru [420]

Answer:

(I need to know where the seven is located/placed.) Please give a clear answer or attach a photo next time so everybody who sees your question will understand.

Step-by-step explanation:

Comparing the numbers 700, 70, and 7; the digit "7" has a different value depending on its place within the number.

7 - ones place

70 - tens place

700 - hundreds place

The place value of the 7 determines the value it holds for the number. As the place moves to the left, the value of the number becomes greater by 10 times

8 0
3 years ago
Read 2 more answers
The height of a golfball hit off a 128-foot hill is modeled by the function h(t) = −16t2 + 32t + 128, where h is height in feet
taurus [48]

The time taken for the golf ball to reach the ground is 1 s.

<h3>Motion of the golf ball</h3>

The path of motion of the golf ball can be described as parabolic because it is projectile.

When the golf ball reaches the ground, the final velocity will be zero.

Velocity of the golf ball is change in height with time.

v = dh/dt

h(t) = -16t² + 32t  + 128

dh/dt = -32t + 32

0 = -32t + 32

32t = 32

t = 1 s

Thus, the time taken for the golf ball to reach the ground is 1 s.

Learn more about time of  motion here: brainly.com/question/2364404

5 0
2 years ago
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