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Aloiza [94]
3 years ago
12

What is the side length of a cube with a volume of 2197 cm3?

Mathematics
1 answer:
Nataliya [291]3 years ago
7 0
The side length of a cube would be the cube root of its volume, because it's length, width and height are all the same. So the answer is 13
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The caffeine content (in mg) was examined for a random sample of 50 cups of black coffee dispensed by a new machine. The mean an
Genrish500 [490]

Answer:

 We are 98% confident interval for the mean caffeine content for cups dispensed by the machine between 107.66 and 112.34 mg .

Step-by-step explanation:

Given -

The sample size is large then we can use central limit theorem

n = 50 ,  

Standard deviation(\sigma) = 7.1

Mean \overline{(y)} = 110

\alpha = 1 - confidence interval = 1 - .98 = .02

z_{\frac{\alpha}{2}} = 2.33

98% confidence interval for the mean caffeine content for cups dispensed by the machine = \overline{(y)}\pm z_{\frac{\alpha}{2}}\frac{\sigma}\sqrt{n}

                     = 110\pm z_{.01}\frac{7.1}\sqrt{50}

                      = 110\pm 2.33\frac{7.1}\sqrt{50}

       First we take  + sign

   110 +  2.33\frac{7.1}\sqrt{50} = 112.34

now  we take  - sign

110 -  2.33\frac{7.1}\sqrt{50} = 107.66

 We are 98% confident interval for the mean caffeine content for cups dispensed by the machine between 107.66 and 112.34 .

               

5 0
3 years ago
What is the equation of the line that passes through the points (−2, 1) and (1, 10)?
Viktor [21]

Answer:

3x - y = -7

Step-by-step explanation:

y = mx + b

m = deltay/deltax

m = (10 - 1)/[( 1 - (-2)]

m = 9/3 = 3

y = 3x + b

From (-2 | 1) we see that when x = -2, y = 1

Placing into the equation, in order to find b (y-intercept)

y = 3x + b

1 = 3(-2) + b

b = 7

y = 3x + 7 or 3x - y = -7

6 0
3 years ago
What is the median of 49 47 48 33 <br> 51 38 47 42 34
statuscvo [17]

Answer:

47

Step-by-step explanation:

arranging in ascending order

33,34,38,42,47,47,48,49,51

total number of terms=9

median=(9+1)/2=5th term=47

8 0
3 years ago
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A<br> 9<br> Kylie drives 291 miles in 6 hours.<br> (a) What is her average speed?
ivolga24 [154]

Answer:

48.5 m/s

Step-by-step explanation:

291/6 = 48.5

5 0
3 years ago
Which statements are correct about the two way frequency table? Check all that apply. The table displays quantitative data, the
Andreyy89

Answer:

A the table display qualitative data, C two teachers do not wear glasses, E a total of 6 teachers were polled

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3 years ago
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