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miskamm [114]
3 years ago
13

Please help me with these 2 questions (: thank you~

Mathematics
1 answer:
frez [133]3 years ago
7 0
17. the us announced a blockade of cuba
18. john kennedy
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The following data show the number of hours per day 12 adults spent in front of screens watching​ television-related content. 1.
Oksanka [162]

Answer:

99% Confidence interval:  (2.9,6.7)    

Step-by-step explanation:

We are given the following data set:

1.8, 4.7, 4.1, 5.2, 7.6, 7.3, 5.7, 3.2, 5.4, 1.9, 2.7, 8.1

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

\bar{x} =\displaystyle\frac{57.7}{12} = 4.8

Sum of squares of differences = 51.18

s = \sqrt{\dfrac{51.18}{11}} = 2.16

99% Confidence interval:  

\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}  

Putting the values, we get,  

t_{critical}\text{ at degree of freedom 11 and}~\alpha_{0.01} = \pm 3.106  

4.8 \pm 3.106(\dfrac{2.16}{\sqrt{12}} )\\\\ = 4.8 \pm 1.937 \\\\= (2.863,6.737)\approx (2.9,6.7)  

(2.9,6.7) is the required 99% confidence interval for average number of hours per day adults spend in front of screens watching​ television-related content.

4 0
3 years ago
What is the vertex of the equation y = (x - 3)2 + 7?
jeka57 [31]

Answer:

(3,7)

Step-by-step explanation:

6 0
2 years ago
toby's restaurant ordered $435.78 worth of supplies from a catalogue. Toby must pay 5.5% sales tax on this amount. How much sale
elena-14-01-66 [18.8K]

Answer:

$23.97 (Rounded to cent)

Step-by-step explanation:

$435.78*5.5%

=$23.97

It is not asking to add on the sales tax, it is simply just asking how much is the sales tax. Thus making $23.97 correct after rounding to nearest cent.

7 0
2 years ago
I need help with The sum of 4 and a number
Andru [333]

Answer:

5 or 6 or 7

Step-by-step explanation:

5=4+1

6=4+2

7=4+3

3 0
1 year ago
Read 2 more answers
Find an angle at home. Measure the angle. Record the measure. Classify the angle.
Svetllana [295]
A table leg. It is 90 degrees from the floor. It is a right angle
7 0
3 years ago
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