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djyliett [7]
3 years ago
8

Your local grocery store is having a

Mathematics
1 answer:
galina1969 [7]3 years ago
5 0

Answer:

You should buy a 12-pack of 12 oz cans for $4.75 rather than seven 20 oz bottles that are on sale for $0.90 because seven 20 oz bottles that are on sale for $0.90 cost $6.30 all together which means  a 12-pack of 12 oz cans for $4.75 is cheaper than seven 20 oz bottles that are on sale for $0.90.

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Problem: a circle is inscribed in a square. The squares perimeter is 16 times the square root of 6. What is the probability of s
Oksi-84 [34.3K]
I got 21% at selecting a point outside.
Explanation: Since the perimeter is 16sqrt (6), each side must be 4sqrt (6)
This also means that the diameter is 4sqrt (6).

To find the area of a circle, we need to find the radius (2sqrt (6)).
Area of circle is pi × (2sqrt (6))^2 = 24pi or approximately 75.4 units^2
Area of square is 4sqrt (6)^2 = 96

Thus, let's take the area of the circle and subtract that from the area of our square to yield approx. 20.6 units^2
and now divide through by 96 to yield 21%
8 0
3 years ago
Which ordered pair is a solution of the inequality?
Greeley [361]

Answer:

<h2>d. (3, -11)</h2>

Step-by-step explanation:

y-1

8 0
3 years ago
A student receives his grade report from a local community college, but the GPA is smudged. He took the following classes: a 2 h
Olin [163]

Answer:

  • C. 3.0

Step-by-step explanation:

<u>Lets calculate the points:</u>

  • Art - 2 hrs - B (3)                ⇒ 2*3 = 6 points
  • History - 3 hrs - A (4)         ⇒ 3*4 = 12 points
  • Science - 4 hrs - C (2)       ⇒ 4*2 = 8 points
  • Math - 3 hrs - B (3)            ⇒ 3*3 = 9 points
  • Lab - 1 hr - A (4)                 ⇒ 1*4 = 4 points

<u>Totals</u>

  • Total hours = 13            
  • Total points = 39

<u>GPA = total points/ total hours</u>

  • GPA = 39/13 = 3.0

Correct option is C

3 0
3 years ago
The accompanying data contains the depth​ (in kilometers) and​ magnitude, measured using the Richter​ Scale, of all earthquakes
Sunny_sXe [5.5K]

Answer:

Depth:

μ =20.2025 km

M = 15.625 km

Range = 47.15 km

σ ≈ 15.92 km

Q₁ = 5.7375 km

Q₃ =  34.6675 km

Magnitude:

μ = 2.08375

M = 1.465

Range, R = 5.17

σ = 1.801485 ≈ 1.8

Q₁ = 0.5625

Q₃ = 3.925

Step-by-step explanation:

The given data are;

Depth {}                                 Magnitude

0.76 {}                                    0.84

4.93 {}                                    0.47

8.16 {}                                     0.35

33.58 {}                                  1.32

21.2 {}                                     1.61

35.03 {}                                  4.57

10.05 {}                                   5.52

47.91 {}                                    1.99

For the Depth, we have;

The mean, μ = (0.76+4.93+8.16+33.58+21.2+35.03+10.05+47.91)/8 =20.2025 km

The median, M = The (n + 1)/2th term after arranging the term in increasing order as follows;

0.76, 4.93, 8.16, 10.05, 21.2, 33.58, 35.03, 47.91 , the median is therefore;

(8 + 1)/2th term or the 4.5th term which is 10.05 + (21.2 - 10.05)/2 = 15.625 km

The Range = The highest - The lowest value = 47.91 - 0.76 = 47.15 km

The Standard deviation of, σ, is given as follows;

\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu  \right )^{2} }{N}}

Where;

x_i = The individual data point = (0.76, 4.93, 8.16, 10.05, 21.2, 33.58, 35.03, 47.91 )

N = The total number of data point = 8

Substituting, (using Microsoft Excel) we get;

\sigma =\sqrt{\dfrac{\sum \left (x_i-20.2025  \right )^{2} }{8}} \approx 15.92 \ km

Q₁ = The first quartile = The (n + 1)/4th =  term arranged in increasing order

Q₁ = The (8 + 1)/4th term = The 2.25th term = 4.93 + (8.16 - 4.93)×0.25) = 5.7375 km

Q₃ = The first quartile = The 3×(n + 1)/4th =  term arranged in increasing order

Q₃ = The 3×(8 + 1)/4th term = The 6.75th term = 33.58 + 3×(35.03 - 33.58)×0.25) = 34.6675 km

For the magnitude, we have, using the same formulas and procedures as above;

μ = 2.08375

M = 1.465

Range, R = 5.17

σ = 1.801485 ≈ 1.8

Q₁ = 0.5625

Q₃ = 3.925

4 0
4 years ago
2 Points
natka813 [3]

Answer:

38

Step-by-step explanation:

APEX

3 0
3 years ago
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