All categories

3 years ago

the ratio of red marbles to blue marbles in a bag is 3:4 . what is a possible total number of marbles?

1 answer:

5 0

There are a lot of possible total amount of numbers for this ratio. But any multiple of 7 will do. So just say 7, or 14, or 21.

If you choose 7, there will be 3 red marbles and 4 blue marbles. If you choose 14, there will be 6 red marbles and 8 blue marbles. If you choose 21, there will be 9 red marbles and 12 blue marbles. And the list goes on.

You might be interested in

The equation of a circle is x^2+(y+4)^2=1 What are it’s center and it’s radius?

AnnZ [28]

Answer:

see attachment

Step-by-step explanation:

8 0

3 years ago

In any year, the weather can inflict storm damage to a home. From year to year, the damage is random. Let Y denote the dollar

krok68 [10]

Answer:

a. mean = 1000

standard deviation = 4358.9

b. expected value of average damage bar Y = 1000

probability bar y exceeds 2000 = 0.011

Step-by-step explanation:

we have p1 = 95%, y1 = 0, p2 = 5%, y2 = 20000

Mean = (0.95 * 0) + (0.05 * 20000)

= 1000

var(y) = E(y²) - E(Y)²

= we solve for E(y)²

= 0²*0.95 + 20000²*0.05

= 0 + 20000000

then the variance of y = 20000000 - 1000²

=20000000-1000000

= $19000000

standard deviation is the square root of variance

= √19000000

= 4358.9

a. Expected value of average is also the mean = 1000

b. we are to find probability that barY exceeds 2000

$z=\frac{2000-1000}{\sqrt{19000000/100} }$

= 1000/435.889

= 2.29

1-p(z≤2.29)

= 1 - 0.989

= 0.011

so the probability that barY exceeds 2000 is 0.011

8 0

3 years ago

It costs twelve dollars to get in to the fair. Tickets for rides cost extra and are d dollars each,

atroni [7]

I think it’s 20d-$12
Hope this helps!

6 0

3 years ago

A marina is in the shape of a coordinate grid. Boat A is docked at (3.1, −1) and Boat B is docked at (−4.1, −1). The boats are _

kirill115 [55]

Answer:

d = 7.2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra II

Distance Formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Boat A(3.1, -1)

Boat B(-4.1, -1)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d.

Substitute [DF]: $d = \sqrt{(-4.1-3.1)^2+(-1+1)^2}$
Subtract/Add: $d = \sqrt{(-7.2)^2+(0)^2}$
Exponents: $d = \sqrt{51.84}$
Evaluate: $d = 7.2$

8 0

2 years ago

Read 2 more answers

Find the values of x and y if 5 ˣ⁻³ x 3²ʸ⁻⁸ =225

-BARSIC- [3]

Answer:

x = 5, y = 5

Step-by-step explanation:

${5}^{x - 3} \times {3}^{2y - 8} = 225 \\ {5}^{x - 3} \times {3}^{2y - 8} = 25 \times 9 \\ {5}^{x - 3} \times {3}^{2y - 8} = {5}^{2} \times {3}^{2} \\ equating \: like \: power \: terms \: from \: both \:\\ sides \\ {5}^{x - 3} = {5}^{2} \\ x - 3 = 2 (Bases\: are\: equal, \: so\: exponents \: \\will\: also\: be\: equal) \\ x = 3 + 2 \\ \huge \red{ \boxed{ x = 5}} \\ \\ {3}^{2y - 8} = {3}^{2} \\ 2y - 8 = 2(Bases\: are\: equal, \: so\: exponents \: \\will\: also\: be\: equal) \\ 2y = 2 + 8 \\ 2y = 10 \\ y = \frac{10}{2} \\ \huge \purple{ \boxed{y = 5}}$

5 0

3 years ago