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Kamila [148]
1 year ago
14

U Get 73 pts !!CAN I PLS GET HELP !!!!Cassandra calculated the total volume of the figure below. A rectangular prism has a lengt

h of 7 inches, width of 6 inches, and height of 7 inches. A rectangular pyramid has a base of 6 inches by 7 inches and a height of 3 inches. Total volume = V of prism – V of pyramid       = Bh - Bh       = (7)(6) (7) – (7)(6)(3)       = 294 – 126       = 168 square inches What mistakes did Cassandra make? Check all that apply. She used square units instead of cubic units. In calculating the volume of the pyramid, she did not multiply by 1/3. She incorrectly identified the shapes composing the total figure. She subtracted the pyramid volume instead of adding it. She should have multiplied the dimensions of the prism by 1/3.
Mathematics
2 answers:
Arlecino [84]1 year ago
8 0

Answer:

1.She used square units instead of cubic units.

2.In calculating the volume of the pyramid, she did not multiply by 1/3.

4.She subtracted the pyramid volume instead of adding it.

Step-by-step explanation:

because i got it right on my test.

garik1379 [7]1 year ago
8 0

Answer:

A, B, D

Step-by-step explanation:

took the test and got it right

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Answer:

b. Identify the variable of interest and state whether it is categorical or quantitative.

Step-by-step explanation:

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1 year ago
The following data represent the length of life in
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Answer:

(a) For the stem-and-leaf plot, we need to organise all data in columns, one column is the stem and a second column is the leaf, but in this case, stems are going to be the digits to the left of the decimal point, and leafs are the digits to the right of the decimal point:

<u>Stem</u>            <u> Leaf </u>

0             2 2 2 3 3 4 5 7

1              0 2 3 5 5 8

2             0 3 5

3             0 3

4             0 5 7

5             0 5 6 9

6             0 0 0 5

(b) Relative frequency distribution.

Remember that, a relative frequency is calculated dividing the absolute frequency by the total data, in this case, we approximated to the hundredth.

Length of life    Absolute Frequency      Relative Frequency     % Relative Freq.

0.2                              3                                        0.1                                10

0.3                              2                                        0.07                              7

0.4                              1                                         0.03                              3

0.5                              1                                         0.03                              3

0.7                              1                                         0.03                              3

1.0                               1                                         0.03                              3

1.2                               1                                         0.03                              3

1.3                               1                                         0.03                              3

1.5                               2                                        0.07                              7

1.8                               1                                         0.03                              3

2.0                              1                                         0.03                              3

2.3                              1                                         0.03                              3

2.5                              1                                         0.03                              3

3.0                              1                                         0.03                              3

3.3                              1                                         0.03                              3

4.0                              1                                         0.03                              3

4.5                              1                                         0.03                              3

4.7                              1                                         0.03                              3

5.0                              1                                         0.03                              3

5.5                              1                                         0.03                              3

5.6                              1                                         0.03                              3

5.9                              1                                         0.03                              3

6.0                              3                                        0.10                               10

6.5                              1                                         0.03                              3

Total                          30                                          

(c)

To calculate the sample mean we need to sum all number, which results: 83.9. Then, we divide this result to the total 30, which result: 2.80.

The sample range is the difference between the highest and the lowest value: 6.5 - 0.2 = 6.3.

The sample standard deviation is calculated trough the following process:

Step 1: Subtract the mean from each number.

Step 2: Square each result.

Step 3: Add the squared deviations.

Step 4: Divide the sum by one less the total.

Step 5: Take the square root, and there you have it.

Doing this steps, the result is 2.22.

This last process is attached:

4 0
1 year ago
Question 1(Multiple Choice Worth 2 points)
earnstyle [38]
These are 3 questions and 3 answers.

1) Find


\lim_{x \to \ 2^+} f(x)

Answer: 4.

Explanation:

The expression means the limit as the function f(x) approaches 2 from the right.

Then, you have to use the function (the line) that comes from the right of 2 and gets as close as you want to x = 2.

That is the line that has the open circle around y = 4, and that is the limit searched.

2) Use the graph to determine the limit if it exists.

Answer:

\lim_{x \to \ 2^-} f(x) = 3

\lim_{x \to \ 2^+} f(x)=-3

To determine each limit you use the function from the side the value of x is being approached.

Note, that since the two limits are different it is said that the limit of the function as it approaches 2 does not exist.

3) 
Answer: - 1


\lim_{x \to \ 3^-} f(x) = -1

To find the limit when the function is approached to 3 from the left you follow the line that ends with the open circle at (3, -1).

Therefore, the limit is - 1.
5 0
1 year ago
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The point (1, 4) lies on a circle that is centered at (1, 1). Which statements are correct? Check all that apply.
Semenov [28]

the circle's radius is 3 units

the point (- 2, 1 ) lies on the circle

the equation of a circle in standard form is

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the radius is the distance from the centre to the point (1, 4 ) on the circle

using (1, 4) and (1,1) in the distance formula, then

r = √(1 - 1 )² + (1 - 4)² = √(0 + 9) =√9 = 3 ⇒ r² = 9

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substitute the given points into the equation and if equation is true then they lie on the circle

(- 2, 1 ) : (- 2 - 1 )² + (1 - 1 )² = 9 + 0 = 9 ← true

Hence (- 2, 1 ) lies on the circle

(3, 3 ) : (3 - 1 )² + (3 - 1 )² = 4 + 4 = 8 ≠ 9

(3, 3 ) does not lie on the circle



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The length of the completed tunnel can be calculated using the equation . If the project will be completed 86 days after the TBM
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The y - intercept of an equation is the value of y when x is substituted with zero. From the given equation,
y = 25x + 225
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