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2 years ago

Find the radius of the circle given by the equation (x – 5)2 + (y - 3)2 = 225.

Mathematics

2 answers:

swat322 years ago

3 0

Answer:

The radius is 15

Step-by-step explanation:

In the equation, 225 is a square of a radius, so the radius itself is the square root of 225, which is 15.

Semmy [17]2 years ago

3 0

Answer: the radius is 15

Step-by-step explanation:

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Each week, Mrs.Mack buys exactly 3 5/8 pounds of cheese for her mac-and-cheese recipe. She chooses from these kinds of cheese. M

ryzh [129]

9514 1404 393

Answer:

3 packages of American (7/8 lb)
2 packages of cheddar (1/2 lb)

Step-by-step explanation:

The amount of cheese Mrs Mack needs is an odd number of eighths of a pound. So, she must buy an odd number of the 7/8 pound packages.

If she were to buy any 1/5 pound packages, she would have to buy a multiple of 5 of them so as to have an integral number of eighths. The only suitable multiple is 0.

If Mrs Mack buys 1 of the 7/8 pound packages, she cannot make up the difference with half-pound packages. She must buy 3 of the 7/8 pound packages, for a total of 2 5/8 pounds of American cheese. The remaining pound can be bought as 2 of the 1/2 pound packages.

To buy 3 5/8 pounds, Mrs Mack must purchase ...

3 packages of American cheese (7/8 lb each)

2 packages of Cheddar cheese (1/2 lb each)

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2 years ago

Betty took a doll she inherited from her grandmother to the antique store. The dolls original price tag says $6.80. The antique

mariarad [96]

There was a 12.35% increase in the price.

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3 years ago

Suppose that 10% of all homeowners in an earthquake-prone area of California are insured against earthquake damage. Four homeown

guapka [62]

Remainder of question:

Find the probability distribution of x

Answer:

The random variable x is defined as: X = {0, 1, 2, 3, 4}

The probability distribution of X:

P(X = 0) = 0.656

P(X = 1) = 0.2916

P(X= 2) = 0.0486

P(X=3) = 0.0036

P(X = 4) = 0.0001

Step-by-step explanation:

Sample size, n = 4

Random variable, X = {0, 1, 2, 3, 4}

10% (0.1) of the homeowners are insured against earthquake, p = 0.1

Proportion of homeowners who are not insured against earthquake, q = 1 - 0.1

q = 0.9

Probability distribution of x,

$P(X = r) = ^nC_r *p^r q^{n-r} \\\\P(X= 0) =(^4C_0 *p^1 q^4 )\\P(X=0) = (^4C_0 *0.1^0 0.9^4 ) = 0.656\\P(X= 1)= (^4C_1 *p^1 q^3 )\\P(X=1) = (^4C_1 *0.1^1 0.9^3 ) = 0.2916\\P(X= 2)=( ^4C_2 *p^2 q^2) \\P(X=2) = (^4C_2 *0.1^2 0.9^2 ) = 0.0486\\P(X= 3) = (^4C_3 *p^3 q^3) \\ P(X=3) = (^4C_3 *0.1^3 0.9^1 ) = 0.0036\\P(X= 4) = (^4C_4 *p^4 q^0 )\\ P(X=4) =(^4C_4 *0.1^4 0.9^0 ) = 0.0001$

5 0

3 years ago

4. Which ordered pair is a solution of 3y + 2 = 2x - 5?

Lyrx [107]

Answer:

we determine that none of the ordered pair is a solution of $3y\:+\:2\:=\:2x\:-\:5$ as none of the ordered pairs satisfy the equation.

Step-by-step explanation:

Considering the equation

$3y\:+\:2\:=\:2x\:-\:5$

Putting (-5,2) in the equation

$3y\:+\:2\:=\:2x\:-\:5$

$3\left(2\right)\:+\:2\:=\:2\left(-5\right)\:-\:5$

$8=-15$ ∵ L.H.S ≠ R.H.S

FALSE

Putting (0,-5) in the equation

$3y\:+\:2\:=\:2x\:-\:5$

$3\left(-5\right)\:+\:2\:=\:2\left(0\right)\:-\:5$

$-13=-5$ ∵ L.H.S ≠ R.H.S

FALSE

Putting (5,1) in the equation

$3y\:+\:2\:=\:2x\:-\:5$

$3\left(1\right)+\:2\:=\:2\left(5\right)-\:5$

$5\:=-5$ ∵ L.H.S ≠ R.H.S

FALSE

Putting (7,5) in the equation

$3y\:+\:2\:=\:2x\:-\:5$

$3\left(5\right)+\:2\:=\:2\left(7\right)-\:5\:\:$

$17=9$ ∵ L.H.S ≠ R.H.S

FALSE

From the above calculations, we determine that none of the ordered pair is a solution of $3y\:+\:2\:=\:2x\:-\:5$ as none of the ordered pairs satisfy the equation.

4 0

3 years ago

What is the absolute value of Point Clabeled on the number line?

Yuki888 [10]

Answer:

2 1/4

Step-by-step explanation:

An absolute value cannot be negative, so the negative answer choices are eliminated. The point labeled C is 5 tick marks to the right of 1. We know from the other numbers on the line that 4 tick marks constitutes one unit, so C is 5/4 = 1 1/4 units to the right of 1. Its value is 2 1/4.

5 0

3 years ago