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aleksley [76]
3 years ago
14

2 1/3 divided by 4/5

Mathematics
2 answers:
Law Incorporation [45]3 years ago
8 0

Answer:

(2 1/3) : (4/5) = 35 /12 = 2 11 /12

1. You convert the mixed number (2 1/3) into an improper fraction which is 7/3.

2.Then you find a new numerator so you multiply the whole number (2) by the denominator (3) which is 6.

3 Add the answer (6) to the starting numerator (1). The new numerator equation: 6+1=7.

4.Write the new numerator (7) over the denominator (3)

Two and one seven third is seven thirds.

5. Then you divide: 7/3 : 4/5 = 7/3 * 5/4 = 7*5/ 3*4

6. Multiply (7 and 5) and (3 and 4) which gives you 35/12.

7.Then you transform it back into a mixed number by dividing 35/12 which gives you 2 11/12.

irina [24]3 years ago
6 0

Answer: 2.91666666667

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In a random sample of 18 families, the average weekly food expense was $95.60 with a sample standard deviation of $22.50. Determ
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Answer:

t-distribution should be used to construct a confidence interval.

Step-by-step explanation:

We are given that a random sample of 18 families, the average weekly food expense was $95.60 with a sample standard deviation of $22.50.

We have to determine whether a normal distribution (Z values) or a t- distribution should be used or whether neither of these can be used to construct a confidence interval.

<em><u>Since in this question we are provided with;</u></em>

Sample average weekly food expense, \bar X = $95.60

Sample standard deviation, s = $22.50

Sample of families, n = 18

The distribution that we will use here to construct a confidence interval will be <u>t-distribution</u> because in the question we don't know anything about population standard deviation (\sigma) .

Normal distribution is used when we know population standard deviation (\sigma).

So, the pivotal quantity for confidence interval that will be used is One-sample t-test statistics;

                P.Q. = \frac{\bar X -\mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

Therefore, t-distribution should be used to construct a confidence interval.

3 0
3 years ago
EASY POINTS (attached)
solong [7]
Answer for the first one - it's complicated, but that maths is correct

I kind of cheated and did it a different way than they'd expect. By doing 24 squared, that gives you 576. 

since both angles are 45 degrees, then the sides are equal lengths. Therefore x squared times 2 = 576.

Because of this, x squared = 576 divided by 2, which equals 288.
Therefore the square root of 288 = 12 square root 2
5 0
3 years ago
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EMERGENCY (NEED HEP NOW!!!)
diamong [38]

Answer:

x=-2.25,y=-2.25

Step-by-step explanation:

The given system is

4x - y =  - 9 \\ 3x - 3y = 0

We want to solve the system for x and y that makes the system true.

Let us multiply the first equation by 3 while maintaining the second equation:

12x -3 y =  - 27 \\ 3x - 3y = 0

Subtract the current second equation from the first one.

12x =  - 27

Divide through by 12:

x =  -  \frac{27}{12}  =  - 2.25

From the second equation we have:

3x = 3y

This implies that:

x = y =  - 2.25

8 0
3 years ago
The width of a rectangle is 75% the length of the rectangle. the perimeter of the rectangle is 42 inches. a circle is drawn that
matrenka [14]

Answer:

  x = 56.25

Step-by-step explanation:

The sides of the rectangle are in the ratio 3:4, so those together with the diagonal of the rectangle make a 3-4-5 right triangle. The sum of these adjacent-side ratio units is 3+4 = 7, so the perimeter in ratio units is 2×7 = 14. The actual perimeter is 42 inches, so each ratio unit must stand for ...

  (42 in)/(14 units) = 3 in/unit

The diagonal of the rectangle is the diameter of the circle. Its length is 5 units, or ...

  (5 units)×(3 in/unit) = 15 inches.

Then the radius is half the diameter, or 7.5 inches.

The area of a circle is given by ...

  A = πr² = π(7.5 in)² = 56.25π in²

The value of x is 56.25.

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Answer:

it's option A .............

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