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2 years ago

1. A bag contains four green gumballs, three blue gumballs, and two red gumballs, all the same size and shape.

Mathematics

1 answer:

Dahasolnce [82]2 years ago

7 0

Answer:

Step-by-step explanation:

a. P (red) = <u>2/9</u>

b. P (blue) = 3/9 = <u>1/3</u>

c. P (green) = <u>4/9</u>

d. Green, because out of the three types of gumballs, the green gumballs are more in number, therefore, it is the one you are most likely to get.

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A square napkin is folded in half on the diagonal and placed on the diameter of a round plate (see diagram below). If the folded

Crank

Answer:

$A=81(\pi-1)\ in^2$

Step-by-step explanation:

step 1

Find the area of the plate

The area of a circle is given by the formula

$A=\pi r^{2}$

we have

$r=18/2=9\ in$ ---> the radius is half the diameter

substitute

$A=\pi (9)^{2}\\A=81\pi\ in^2$

step 2

Find the area of the square napkin folded (is a half of the area of the square napkin)

we know that

The diagonal of the square is the same that the diameter of the plate

Applying Pythagorean theorem

$D^2=2b^2$

where

b is the length side of the square

we have

$D=18\ in$

substitute

$18^2=2b^2$

solve for b^2

$b^2=162\ in^2$ -----> is the area of the square

Divide by 2

$162/2=81\ in^2$

step 3

Find the area of the space on the plate that is NOT covered by the napkin

we know that

The area of the space on the plate that is NOT covered by the napkin, is equal to subtract the area of the square napkin folded (is a half of the area of the square napkin) from the area of the plate

$A=(81\pi-81)\ in^2$

simplify

$A=81(\pi-1)\ in^2$

8 0

2 years ago

What is the distance between the points (10, -7) and ( 10, 9) on the coordinate plane?

xenn [34]

16 on the y-axis, 0 on the x axis

7 0

3 years ago

Write the equation of the line that has the indicated slope and contains the indicated point. Express the final equation in stan

OlgaM077 [116]

Answer:

y = 1/2x + 5

Step-by-step explanation:

Given :

Slope, m = 1/2

(x1, y1) = (6, 8)

y - y1 = m(x - x1)

y - 8 = 1/2(x - 6)

y - 8 = 1/2x - 3

y - 8 + 8 = 1/2x - 3 + 8

y = 1/2x + 5

Stamdard form of equation :

y = mx + c

Hence, equation is :

y = 1/2x + 5

7 0

3 years ago

there are 120 students in a school marching band. they march in an array with the same number of students in each row. what are

Sloan [31]

Answer:

20 X 6

Step-by-step explanation:

20 X 6 = 120 I'm not smart but this is pretty easy

5 0

2 years ago

Use the calculator to find the product. (9. 1 × 109)(7. 5 × 102) What is the exponent of the power in scientific notation?.

____ [38]

The exponent of the power is 11 in scientific notation.

<h3>Given </h3>

The numbers are;

The product of (9. 1 × 10^9)(7. 5 × 10^2)

<h3>What is scientific notation?</h3>

Scientific notation is a method of expressing numbers in terms of a decimal number between 1 and 10, but not 10 itself multiplied by a power of 10.

To find the product of the given numbers follows all the steps given below.

The product of number is;

$=(9.1 \times 10^9) \times (7.5 \times 10^2)\\\\= (9.1 \times 7.5) \times (10^{(9+2)})\\\\ =68.25 \times 10^{11}$

Hence, the exponent of the power is 11 in scientific notation.

To know more about Scientific notation click the link given below.

brainly.com/question/4964086

4 0

2 years ago