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mel-nik [20]
3 years ago
10

Help needed please and thank you!

Mathematics
1 answer:
Lelechka [254]3 years ago
8 0
To solve this problem, we use the formula given, which states that SA=6s^2, where SA is the surface area and s is the edge length of the cube.

We were given that the edge length of the cube is 3 1/2 feet, and that we are trying to find the surface area of the cube, so let’s plug these values into our formula.

SA=6(3 1/2)^2
To make this easier to simplify, we are going to replace 3 1/2 with its equal improper fraction, 7/2.
SA=6(7/2)^2
Now, following the order of operations, we are going to simplify what is inside the parenthesis by squaring it.
SA=6(49/4)
Now, we are going to multiply our last two terms together, to get:
SA= 294/4
This number simplifies to 147/2 when we divide both the numerator and denominator by their greatest common factor of 2.
However, the problem asks for your answer as a mixed number in simplest form, which we get when we divide out this improper fraction.
Your final answer is 73 1/2 ft^2.

I hope this helps!
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What is the equation, in point-slope form, for a line that goes through (8,- 4) and has a slope of -5/6
Norma-Jean [14]

Answer:

y + 4 = -\frac{5}{6}(x - 8)

Step-by-step explanation:

In the Point-Slope Formula, y - y_1 = m(x - x_1),all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.

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A box of 12 tacos cost $9.99. At this rate, how much does one taco cost
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3 years ago
A nurse collected data about the average birth weight of babies in the hospital that month. Her data is shown using the dot plot
mixer [17]

Answer:

The values of the box-plot are: B = {8.2, 8.3, 8.4, 8.5 and 8.9}.

Step-by-step explanation:

The data provided is as follows:

X     Frequency

8        0

8.1        0

8.2        2

8.3        2

8.4        2

8.5        3

8.6        0

8.7         1

8.8        0

8.9         1

 9           0

So, the actual data is:

S = {8.2 , 8.2 , 8.3 , 8.3 , 8.4 , 8.4 , 8.5 , 8.5 , 8.5 , 8.7 , 8.9 }

A boxplot, also known as a box and whisker plot is a method to demonstrate the distribution of a data-set based on the following 5 number summary,

  1. Minimum (shown at the bottom of the chart)
  2. First Quartile (shown by the bottom line of the box)
  3. Median (or the second quartile) (shown as a line in the center of the box)
  4. Third Quartile (shown by the top line of the box)
  5. Maximum (shown at the top of the chart).

The data set is arranged in ascending order.

The minimum value is, Min. = 8.2

The lower quartile is,

[\frac{n+1}{4}]^{th}\ obs.=[\frac{11+1}{4}]^{th}\ obs.=3^{rd }\ obs. =8.3,

Q₁ = 8.3.

The median value is,

[\frac{n+1}{2}]^{th}\ obs.=[\frac{11+1}{2}]^{th}\ obs.=6^{th}\ obs.=8.4

Median = 8.4

The upper quartile is,

[\frac{3(n+1)}{4}]^{th}\ obs.=[\frac{3(11+1)}{4}]^{th}\ obs.=9^{th }\ obs. =8.5,

Q₃ = 8.5.

The maximum value is, Max. = 8.9.

So, the values of the box-plot are: B = {8.2, 8.3, 8.4, 8.5 and 8.9}.

5 0
3 years ago
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