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yuradex [85]
3 years ago
11

An urn contains 7 red marbles and 3 white marbles. three marbles are drawn from the urn one after the other. find the probabilit

y that the first two are red and the third is white.
Mathematics
1 answer:
vaieri [72.5K]3 years ago
5 0

7+3 = 10 total marbles

 1st pick = 7/10 for a red one

2nd pick = 6/9 reduces to 2/3 for a red one

3rd pick = 3/8 for a white one

7/10 x 2/3 =14/30 reduces to 7/15

7/15 x 3/8 = 21/120 reduces to 7/40

 probability = 7/40

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At the city museum, child admission is $5.20 and adult admission is $9.90 . On Monday, twice as many adult tickets as child tick
DiKsa [7]
To solve this, I would just find what two adult tickets and one child ticket wold be worth.

To find that, just do:

5.20 + 9.90 * 2, which makes 25.

So now you just find how many 25s are in 900, or 36.

So 36 children's tickets were sold that day.

Hope I helped :)
7 0
3 years ago
Perimeter of an isosceles triangle is 90 m. If the length of the two equal sides is three fourth of the unequal side , find the
Sveta_85 [38]

Answer:

The length of the equal side is 27 meters each and that of the unequal side is 36 meters

Step-by-step explanation:

An isosceles triangle is a triangle with two sides being equal (also two equal base angles).

Let us assume the length of the two equal sides to be x meters each, and the length of the unequal side to be y meter. Since the perimeter of the triangle is 90 m, it can be expressed as:

x + x + y = 90

2x + y = 90

But the length of the equal side is  three fourth of the unequal side, i.e x = 3/4y

Therefore:

2(3/4y) + y = 90

3/2y + y = 90

2.5y = 90

y = 90/2.5

y = 36 meters

Also x = 3/4 * 36 = 27 meters

The length of the equal side is 27 meters each and that of the unequal side is 36 meters

5 0
3 years ago
What is the equation of the line that passes through the points four over 5 , and one over five and then one half , and three ov
Scorpion4ik [409]
Your answer is y = -(13/3)x + 11/3. I have put the brackets to show that the entire fraction is negative, they do not do anything else.
First we need to find the slope of the line using the equation (y2 - y1)/(x2 - x1), so we get (3/2 - 1/5)/(1/2 - 4/5). To make this easier, I did each subtraction separately:
3/2 - 1/5 = 15/10 - 2/10 = 13/10
1/2 - 4/5 = 5/10 - 8/10 = -(3/10)
And then we need to divide 13/10 by -(3/10), so:
13/10 ÷ -(3/10) = 13/10 × -(10/3) = -(130/30) = -(13/3), which is our slope.
Then, we can write the equation y = -(13/3)x + c, and substitute in coordinates:
3/2 = (-13/3 × 1/2) + c
3/2 = -(13/6) + c
c = 11/3
So the final equation is y = -(13/3)x + 11/3.
I hope this helps!
3 0
3 years ago
Match the function to the correct parabola
Lisa [10]

Answer:

The box to the left will have the equation p(x) = 5x² and the box to the right will have the equation n(x) = \frac{1}{5} x^{2}

Step-by-step explanation:

The coefficient of the x² decides how wide or narrow a quadratic graph is. If the coefficient is a fraction of 1, the smaller the fraction the wider the graph gets. If the coefficient is a number bigger than 1, the bigger the number, the narrower the graph gets.

5 0
3 years ago
The median age of the U.S. population in 1980 was 30.0 years. In 1991, the median age was 33.1 years.
ioda

Answer:

a. Life span increased

b. The median age could rise because of the improvement in medical technology. Also more advertisement of healthier life styles, such as eating healthy could have increase the median age.

c. No because this just shows the increase in life span not the decrease in children.

Step-by-step explanation:

a. more people on average lived longer lives. (explanation)

b. self explanatory I guess, my answer pretty much explained it.

c. life span of US citizens does not effect the children population. I guess you could say people lived longer lives to have more children, so possibly the number of children could have increased.

8 0
3 years ago
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