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2 years ago

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Sid need 0.6 meters of canvas material to make a carry-all bag for his wheelchair.if canvas is $10.09 per meter, how much will s

id spend (round to the nearest cent as needed.)

1 answer:

Olegator [25]2 years ago

8 0

$6.05 because 10.09 × 0.6 is 6.054, round down because the last number is less than 5, and you have 6.05.

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The erea of a square is given by x2, where x is the length of one side. Mary's original garden was in the shape of a square. She

crimeas [40]

Answer: The expression that represents the area of Mary's new garden =2x^2

Step-by-step explanation:

The area of a square is given by x^2, where x is the length of one side. The length of the other side is also x. In a square, all sides are equal. each of the four sides equal x

Area = x × x

Area = x^2

She decided to double the area of her garden

New area = 2(x × x)

New area = 2x^2

The expression that represents the area of Mary's new garden =2x^2

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2 years ago

To solve the equation y – 4 = 9 for y, what operation must be applied to both sides in order to isolate the variable y?

inna [77]

Answer:

$y-4=9$

The opposite of subtraction is addition, so you would have to add 4 to both sides:

$y-4+4=9+4$

$y=13$

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2 years ago

Rona mixes 2 pounds of meat with some chopped vegetables to make a mixture. She divides the mixture into 4 equal portions. Each

AVprozaik [17]

Answer:

First choice: (1/4)(2 + v) = 3; v = 10 pounds of chopped vegetables

Step-by-step explanation:

"2 pounds of meat with some chopped vegetables"

2 + v

"She divides the mixture into 4 equal portions."

(1/4)(2 + v)

"Each portion weighs 3 pounds."

(1/4)(2 + v) = 3

2 + v = 12

v = 10

Answer: (1/4)(2 + v) = 3; v = 10 pounds of chopped vegetables

7 0

2 years ago

Suppose you have a litter of mice which consists of 8 males and 4 females. If you randomly grab two of them, what is the probabi

tiny-mole [99]

Answer:

The probability that they are both male is 0.424 (3 d.p.)

Step-by-step explanation:

The first step is to find the probability of the first selection being male. This is calculated as number of male mice divided by total number of mice in the litter

Prob (1st male) = 8 ÷ 12 = 0.667

Next is to find the probability of the second selection also being male. Note that the question states that the first mice was selected without replacement. This means the first mouse taken results in a reduction in both the number of male mice and total number of mice in the litter.

Prob (2nd male) = (8 - 1) ÷ (12 - 1) = 7/11 = 0.636

Therefore,

Prob (1st male & 2nd male) = 0.667 × 0.636 = 0.424

5 0

2 years ago

Consider the continuous random variable X, which has a uniform distribution over the interval from 20 to 28.

anastassius [24]

Answer:

a) The probability distribution is $f(x) = \frac{1}{8}$

b) 0.5 = 50% probability that X will take on a value between 21 and 25.

c) 0.25 = 25% probability that X will take on a value of at least 26.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

$P(X < x) = \frac{a - x}{b - a}$

The probability of finding a value between c and d is:

$P(c \leq X \leq d) = \frac{d - c}{b - a}$

The probability of finding a value above x is:

$P(X > x) = \frac{b - x}{b - a}$

Uniform distribution over the interval from 20 to 28.

This means that $a = 20, b = 28$

a. What’s the probability density function?

The probability density function of the uniform distribution is:

$f(x) = \frac{1}{b - a}$

In this question:

$f(x) = \frac{1}{28 - 20} = \frac{1}{8}$

b. What’s the probability that X will take on a value between 21 and 25?

$P(21 \leq X \leq 25) = \frac{25 - 21}{28 - 20} = \frac{4}{8} = 0.5$

0.5 = 50% probability that X will take on a value between 21 and 25.

c. What’s the probability that X will take on a value of at least 26?

$P(X > 26) = \frac{28 - 26}{28 - 20} = \frac{2}{8} = 0.25$

0.25 = 25% probability that X will take on a value of at least 26.

4 0

2 years ago