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andrew11 [14]
3 years ago
9

The perimeter of a rectangle is 96 ft. The ratio of its length to its width is 5 : 3. What are the dimensions of the rectangle?

Mathematics
1 answer:
fomenos3 years ago
6 0

The answer is 30 to 18 feet

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Zucchini weights are approximately normally distributed with mean 0.8 pound and standard deviation 0.25 pound. Which of the foll
Charra [1.4K]

Answer:

0.81859

Step-by-step explanation:

We solve using z score method

The formula for calculating a z-score is is z = (x-μ)/σ,

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

Mean 0.8 pound

Standard deviation 0.25 pound

For x = 0.55 pound

z = 0.55 - 0.8/0.25

= -1

Probability -value from Z-Table:

P(x = 0.55) = 0.15866

For x = 1.3 pounds

Z = 1.3 = 0.8/0.25

= 2

Probability value from Z-Table:

P(x = 1.3) = 0.97725

The probability that a randomly selected zucchini will weigh between 0.55 pound and 1.3 pounds is

P(x = 1.3) - P(x = 0.8)

0.97725 - 0.15866

0.81859.

6 0
3 years ago
The product of a number and -8 gives eight times the sum of that number and 36. Find that number
Viefleur [7K]

Answer:

-18

Step-by-step explanation:

Let x be our number. First we have to write our equation.

The product of a number and -8 is represented as -8x (-8 multiplied by x). Remember that 'product' signifies multiplication.

The result is eight times the sum of x and 36. This is represented as 8(x + 36). We add x and 36 first because 8 has been multiplied by the sum of those two numbers.

So our equation is:

-8x = 8(x + 36)

We can now solve for x. First, expand the bracket.

-8x = 8x + 288

Next, subtract 8x from both sides. This will give us only one term containing x, which will make it easier to solve.

-8x - 8x = 8x + 288 - 8x

-16x = 288

Divide both sides by -16

x = -18

3 0
3 years ago
Students are running in a relay race. Each team will run a total of 3 miles. Each member of a team will run 1/8 of a mile. How m
Crazy boy [7]
3 / (1/8) = 3 × (8/1) = 24
There needs to be 24 students on a team.
7 0
3 years ago
The volume of the triangluar block is 4 cubic inches. What is the approximate length of y?
Artist 52 [7]

The volume of the triangluar block is 4 cubic inches. What is the approximate length of y? -- 2.8 inches

3 0
3 years ago
2. A bag contains 25 paise coins and 50 paise Coins. The number of 25 paise coins is 6 times that of so paise Coins The total va
Karo-lina-s [1.5K]
<h2>~<u>Solution</u> :-</h2>

Here, it is given that the bag contains 25 paise coins and 50 paise coins in which, 25 paise coins are 6 times than that of 50 paise coins. Also, the total money in the bag is Rs. 6.

  • Hence, we can see that, here, we have been given the linear equation be;

Let the number of coins of 50 paise will be $ x $ and the number of coins of 25 paise will be $ 6x $ as given. . .

Hence,

x + 6x = 6

7x = 6

x =  \frac{6}{7}  \\

x = 1.1666667 \approx \: 2

  • Hence, the number of 50 paise coins will be <u>2</u>. And, 6 times of two be;

6(2)

  • Hence, the number of 25 paise coins will be <u>12</u>.
6 0
3 years ago
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