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k0ka [10]
2 years ago
10

Drag a statement or reason to each box to complete this proof.

Mathematics
1 answer:
yanalaym [24]2 years ago
5 0

Answer: 2. Linear pair postulate

4. 60 + mACB=180

5. mACB=120

6. definition of obtuse angle

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Bought a new car lately? The following table presents the number of vehicles sold in a certain country by several manufacturers
ella [17]

Answer:

The Relative Frequency Table is:

<u>  Manufacturer         Relative Frequency  </u>

General Motors                  0.242

      Ford                              0.208

Chrysler LLC                       0.148  

     Toyota                           0.177

     Honda                            0.116

     Nissan                            0.109

Step-by-step explanation:

To find out the relative frequency we need to use the formula:

Relative Frequency = Frequency / Sum of All Frequencies

We can find the sum of all the frequencies by adding all the sales for the year 2013.

Sum of Frequencies for 2013 = 225,650 + 194,068 + 138,085 + 164,423 + 107,526 + 101,113

Sum of Frequencies for 2013 = 930865 cars

Now we can compute the relative frequencies for each of the manufacturers as follows:

General Motors: 225650/930865 = 0.242

Ford: 194068/930865 = 0.208

Chrysler LLC: 138085/930865 = 0.148

Toyota: 164423/930865 = 0.177

Honda: 107526/930865 = 0.116

Nissan: 101113/930865 = 0.109

Relative Frequency Distribution Table for the 2013 sales:

Manufacturer         Relative Frequency

General Motors                  0.242

      Ford                              0.208

Chrysler LLC                       0.148  

     Toyota                           0.177

     Honda                            0.116

     Nissan                            0.109

3 0
3 years ago
After flying kites, mariana and reena go with their friends to the local ice cream shop. ice cream sundaes cost 2$ and banana sp
Alina [70]
I believe it is $40 in all.
8 0
3 years ago
Solve the system of linear equations using the elimination method x=3y;3x-2y=14
vladimir1956 [14]

Answer:

<h2>x = 6 and y = 2 → (6, 2)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}x=3y&\text{subtract}\ 3y\ \text{from both sides}\\3x-2y=14\end{array}\right\\\\\left\{\begin{array}{ccc}x-3y=0&\text{multiply both sides by (-3)}\\3x-2y=14\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-3x+9y=0\\3x-2y=14\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad7y=14\qquad\text{divide both sides by 7}\\.\qquad\qquad y=2\\\\\text{put the value of y to the first equation:}\\x=3(2)=6

7 0
3 years ago
A random sample of 23 items is drawn from a population whose standard deviation is unknown. The sample mean isx⎯ ⎯ x¯ = 840 and
gayaneshka [121]

Answer:

(832.156, \ 847.844)

Step-by-step explanation:

Given data :

Sample standard deviation, s = 15

Sample mean, \overline x = 840

n = 23

a). 98% confidence interval

$\overline x \pm t_{(n-1, \alpha /2)}. \frac{s}{\sqrt{n}}$

$E= t_{( n-1, \alpha/2 )} \frac{s}{\sqrt n}}

$t_{(n-1 , \alpha/2)} \frac{s}{\sqrt n}$

$t_{(n-1, a\pha/2)}=t_{(22,0.01)} = 2.508$

∴ $E = 2.508 \times \frac{15}{\sqrt{23}}$

  $E = 7.844$

So, 98% CI is

$(\overline x - E, \overline x + E)$

(840-7.844 ,  \ 840+7.844)

(832.156, \ 847.844)

4 0
3 years ago
debbie is a cook in a restaurant that is open 6 days a week. she is responsible for recording and monitoring the amount of money
dybincka [34]

The quantity of bread that Debbie uses each week on the average is = 54 loaves of bread

<h3>Calculation of weekly quantity of bread</h3>

The number of days the restaurant opens per week = 6 days.

The number of bread she uses everyday is = 9 loaves.

Therefore, the quantity of bread that Debbie uses each week on the average is = 6×9 = 54 loaves of bread.

Learn more about multiplication here:

brainly.com/question/4721701

#SPJ1

4 0
2 years ago
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