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2 years ago

He has 5 blue marbles, 6 red, and 10 green. If selected at random, what is the probability he selects a red marble?

Mathematics

1 answer:

lidiya [134]2 years ago

8 0

Answer:

2/7 chance to select a red marble

Step-by-step explanation:

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Determine the center and radius of the following circle equation:

UkoKoshka [18]

Answer:

The equation of the circle (x + 5 )² + ( y + 10 )² = (4)²

Center of the circle ( h, k) = ( -5 , -10)

Radius of the circle ' r' = 4

Step-by-step explanation:

Explanation:-

Given circle equation is x² + y² +10 x + 20 y +109 =0

x² +10 x + y² + 20 y +109 =0

x² +2 (5) (x)+(5)² -(5)²+ y² +2(10) y + (10)²-(10)² +109 =0

By using formula

(a+b)² = a² + 2 a b + b²

(x + 5 )² + ( y + 10 )² - 25 - 100 + 109 = 0

(x + 5 )² + ( y + 10 )² - 16 = 0

(x + 5 )² + ( y + 10 )² = 16

(x + 5 )² + ( y + 10 )² = (4)²

The standard equation of the circle ( x - h )² + ( y -k)² = r²

Center of the circle ( h, k) = ( -5 , -10)

Radius of the circle ' r' = 4

Conclusion:-

The equation of the circle (x + 5 )² + ( y + 10 )² = (4)²

Center of the circle ( h, k) = ( -5 , -10)

Radius of the circle ' r' = 4

3 0

2 years ago

Which of these is a reason you might use a credit union instead of a bank? (flocabulary)

Aloiza [94]

A. Is your best choice

4 0

1 year ago

A + 2 ÷ -24 = -4 what does A equal

sergeinik [125]

Step-by-step explanation:

A + 2 ÷ (-24) = -4

A - 1/12 = -4

A = -4 + 1/12

A = -48/12 + 1/12

A = -47/12

A ≈ -3,91

4 0

2 years ago

When I count as a principal of $1000 and earns 4% simple interest per year and other account as a principal $1000 and earns 4% i

OLga [1]

Answer: the account that earned compound interest has the greater balance at the end of four years.

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the amount invested.

P represents the principal or amount invested.

R represents interest rate

T represents the duration of the investment in years.

From the information given,

P = 1000

R = 4%

T = 4 years

I = (1000 × 4 × 4)/100 = 160

Total amount earned is

1000 + 160 = $1160

The formula for determining compound interest is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 1000

r = 4% = 4/100 = 0.04

n = 1 because it was compounded once in a year.

t = 4 years

Therefore,.

A = 1000(1+0.04/1)^1 × 4

A = 1000(1.04)^4

A = $1170

3 0

2 years ago

Lynn is making custom bricks. She combines 39 pounds of water and 48 pounds of brick dust

vova2212 [387]

Answer:

10, and 4.

Step-by-step explanation:

39+48=87

87-13=74

74 divided by 7= 10 R4

Greatest amount of bricks= 10

Leftovers= 4.

5 0

2 years ago