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Anvisha [2.4K]
2 years ago
6

Diane keeps her ribbons in a drawer. She has 3 white ribbons, 6 pink ribbons, 2 yellow ribbons, and 7 blue ribbons. Without look

ing, Diane pulls a ribbon out of the drawer. What is the probability Diane pulls out a pink ribbon?
Mathematics
1 answer:
Akimi4 [234]2 years ago
6 0

Answer:

1/3

Step-by-step explanation:

She has 18 ribbons in total and she has 6 pink ribbons so she has a 6/18 chance or 1/3 chance of pulling a pink ribbon

You might be interested in
Find the area of the shaded region
kogti [31]

Answer:

  7. 183 in^2

  8. 192.42 m^2

  9. 239.4 ft^2

Step-by-step explanation:

7. The figure seems most easily seen as a trapezoid with a triangle removed. The trapezoid has bases of 26 and 14, and a height of 15. So, its area is ...

  A = (1/2)(b1 +b2)(h) = (1/2)(26+14)(15) = 300 . . . . . . square inches

The triangle has a base of 26 and a height of 9, so an area of ...

  A = (1/2)bh = (1/2)(26)(9) = 117 . . . . . . square inches

Then the shaded area is ...

  300 in^2 -117 in^2 = 183 in^2

__

8. The area of the donut can be found different ways. One way is to multiply the width of the shaded area (3.5 m) by the circumference of its centerline.

The centerline diameter is 21 m - 3.5 m = 17.5 m, so the circumference of that circle is ...

  C = πd = π(17.5 m) = 17.5π m

Then the area of the shaded part is ...

  (3.5 m)(17.5π m) = 61.25π m^2 ≈ 192.42 m^2

__

9. As in problem 7, this can be treated as a parallelogram less a triangle. Here, we need to do a little work to find the area of the triangle.

The triangle of interest is a right triangle with hypotenuse 23.8 ft and one leg 21 ft. The Pythagorean theorem can be used to find the other leg:

  h = √(23.8^2 -21^2) = √125.44 = 11.2

Then the area of the triangle is ...

  A = (1/2)bh = (1/2)(21)(11.2) = 117.6 . . . ft^2

The area of the parallelogram (including the triangle) is ...

  A = bh = (23.8 ft)(15 ft) = 357 ft^2

So, the shaded area is the difference ...

  357 ft^2 -117.6 ft^2 = 239.4 ft^2

_____

<em>Comment on significant digits</em>

The area in problem 8 may be considered to be 192.325 m^2 if you are required to use 3.14 as the value for pi. Since that value is only good to 3 significant digits, it is quite pointless to report the answer to 6 significant digits when using that value. It is quite reasonable to use 192 m^2 for the answer, especially if you're required to round to whole numbers.

8 0
3 years ago
Any one know how to find the roots of an equation?
sergiy2304 [10]
<span>Solutions or Roots of Quadratic Equations. A real number x will be called a solution or a root if it satisfies the equation, meaning . It is easy to see that the roots are exactly the x-intercepts of the quadratic function , that is the intersection between the graph of the quadratic function with the x-axis.</span>
4 0
2 years ago
Shanti is taking a cube-shaped gift to a friend's birthday party. She wants to wrap it but she doesn't have very much paper, so
Marrrta [24]

Answer:

It will take Shanti 150 square inches of paper to wrap the gifts

Step-by-step explanation:

Shanti wraps the gift she is taking to a friend's birthday party. She doesn't have very much paper, so she does not overlap any of the edges. The side lengths of the cube are all 5in.

How much paper did it take to cover the gift?

Solution

To solve this, you will find the surface area of a cube

Surface area of a cube = 6a^2

Where,

a=side length of the cube

a= 5 in

a^2=a × a

=5 × 5

=25 in^2

a^2=25 in^2

Surface area of a cube = 6a^2

=6 × 25 in^2

=150 in^2

It will take Shanti 150 square inches of paper to wrap the gifts

7 0
3 years ago
Read 2 more answers
A small business spend $23,000 for taxable items last year. The tax rate was 9.5%. How much did the small business pay in taxes
ioda

Answer:

$2,185

Step-by-step explanation:

Multiply the amount spent by the tax rate.

23,000 x 9.5% = $2,185

8 0
2 years ago
Jaxson is throwing a pizza party. He has 1\tfrac{1}{4}1 4 1 ​ pounds of cheese available and he needs \tfrac{1}{8} 8 1 ​ pound o
yKpoI14uk [10]

Answer:

10 pizzas

Step-by-step explanation:

Jaxson is throwing a pizza party. He has 1\tfrac{1}{4}1 4 1 ​ pounds of cheese available and he needs \tfrac{1}{8} 8 1 ​ pound of cheese to make each pizza. How many pizzas can he make?

We can interprete the above question as:

1/8 pounds of cheese = 1 pizza

1 1/4 pounds of cheese = x pizzas

Cross Multiply

1/8 × x = 1 1/4 × 1

x = 1 1/4 ÷ 1/8

x = 5/4 ÷ 1/8

x = 5/4 × 8/1

x = 10 pizzas

x = 10 pizzas

3 0
3 years ago
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