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inn [45]
3 years ago
13

Find the Value of X (angles)

Mathematics
2 answers:
STatiana [176]3 years ago
7 0

Answer:

x= 55

Step-by-step explanation:

The  two angles add to 180 degrees since they form a straight line

2x+70 =180

Subtract 70 from each side

2x+70-70=180-70

2x= 110

Divide by 2

2x/2 = 110/2

x= 55

sergeinik [125]3 years ago
3 0

Answer:

x=55°

Step-by-step explanation:

2x+70=180°

x=55°

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Answer: K = 0

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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2 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

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3 years ago
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Answer:

Add the equations in order to solve the first variable. Plug this value into the other equation in order to solve the remaining variables.

The point form is (3,-1)

The equation form is x = 3, y = -1

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antoniya [11.8K]

Answer:

C

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