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Shalnov [3]
3 years ago
7

Ignore outside work find all missing variables and measures of each angle**

Mathematics
1 answer:
borishaifa [10]3 years ago
8 0

Answer:

y= 18

42°

x=60

60°

Step-by-step explanation:

because of vertical angles theorem, 2y+6=8y-102

add 102 to 6

2y+108=8y

subtract 2y from 8y

108=6y

y= 18

now plug in to each equation for angles

2(18)+6= 42°

8(18)-102= 42°

now I dont think you can solve for x and y in an equation. 3x=180

divide 3 from 180

180/3 = 60

x=60

plug 60 into 3x=180 and get 180°.

angles for x are 180°

if I'm incorrect on the X value someone please correct me.

I hope this helps!❤

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A businessman buys 1,440 dozen pens at $2.50 a dozen and then sells them at a price of 25¢ apiece. what is his total profit on th
Harlamova29_29 [7]
Profit (P) is calculated by subtracting the total cost (C) from the total revenue (R). The calculations are shown below, 

       R = (1440 dozens) x (12 pieces / 1 dozen) x (25 cents/ piece) = $4320
                   C = (1440 dozens) x ($2.50 / dozen) = $3600
 
                          Profit = R - C = $4320 - $3600 = $720

Thus, the businessman's profit is $720. 

7 0
4 years ago
A food processor packages orange juice in small jars. The weights of the filled jars are approximately normally distributed with
Ratling [72]

Answer:

P(X>10.983)=P(\frac{X-\mu}{\sigma}>\frac{10.983-\mu}{\sigma})=P(Z>\frac{10.983-10.5}{0.3})=P(z>1.61)

And we can find this probability using the complement rule and with excel or the normal standard table:

P(z>1.61)=1-P(z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X \sim N(10.5,0.3)  

Where \mu=10.5 and \sigma=0.3

We are interested on this probability

P(X>10.983)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>10.983)=P(\frac{X-\mu}{\sigma}>\frac{10.983-\mu}{\sigma})=P(Z>\frac{10.983-10.5}{0.3})=P(z>1.61)

And we can find this probability using the complement rule and with excel or the normal standard table:

P(z>1.61)=1-P(z

8 0
3 years ago
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tia_tia [17]

Answer:

A) Always True

6 0
4 years ago
Write three ratios that are equal to 60/180
Fudgin [204]
1/3 or 3/9 or 9/27
I hope this helps
4 0
3 years ago
Please help and thank you
tresset_1 [31]

Answer:

A. The description represents an arithmetic sequence because the successive y-values have a common difference of 600

Step-by-step explanation:

The equation that this situation is describing would be

y=600x+20000

This would mean that this equation would be an arithmetic series

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