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2 years ago

A triangle contains angles mesuring 28 degrees and 37 degrees. How many degrees is the third angle?

Mathematics

1 answer:

Orlov [11]2 years ago

8 0

Answer:

115°

Step-by-step explanation:

We know that:

Angles ∠A and ∠B are 28° and 37°.

We don't know:

Angle ∠C's angle

So, we do this:

Add the 180°
Solve the equation 180 - 28 - 37

Solve:

180 - 28
= 152 - 37
= 115.

Angle ∠C is 115°.

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Given: Z = 0.43Y + 12 ; What is Y when Z = 28

jolli1 [7]

Z = 0.43Y + 12; Z = 28
28 = 0.43Y + 12; insert value of Z
16 = 0.43Y; subtract 12 from both sides
37.21 = Y; divide both sides by 0.43; rounded to nearest hundredth

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3 years ago

The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of $4.09 and a standard deviatio

WINSTONCH [101]

Answer:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X} = 4.09$

$\sigma_{\bar X}= \frac{\sigma}{\sqrt{n}}= \frac{0.08}{\sqrt{16}}= 0.02$

So the best answer for this case would be:

$\bar X \sim N (4.09, \frac{0.08}{\sqrt{16}}= 0.02)$

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 costs of unleaded gasoline of a population, and for this case we know the distribution for X is given by:

$X \sim N(4.09,0.08)$

Where $\mu=4.09$ and $\sigma=0.08$

We select a sample size of n =16. Since the distribution for X is normal then we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X} = 4.09$

$\sigma_{\bar X}= \frac{\sigma}{\sqrt{n}}= \frac{0.08}{\sqrt{16}}= 0.02$

So the best answer for this case would be:

$\bar X \sim N (4.09, \frac{0.08}{\sqrt{16}}= 0.02)$

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3 years ago

Simplify 7b-2b+3b+4b

kolezko [41]

It should be just 12b, since they all have the same exponent, they can all be combined.

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3 years ago

Read 2 more answers

Find the equivalent expression to 3(4m-2) -2(m+5)

leva [86]

3(4m-2)-2(m+5)
Distribute 3 into the equation
12m-6 than do the same with -2
-2m-10
combine like terms
10m-16

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3 years ago

A fence must be built to enclose a rectangular area of 20,000 ftsquared. fencing material costs $ 1 per foot for the two sides f

Simora [160]

The total cost of the least expensive fence would be $800.

To minimize perimeter and maximize area we take factors that are as close to equal as possible. In this case, the closest whole number factors are 200 and 100. Since the north and south faces cost less, we will make those 100 ft and make the more expensive east and west faces 200 ft.

100 ft × $2/ft = $200 per side × 2 sides = $400 for the north and south facing sides.

200 ft × $1/ft = $200 per side × 2 sides = $400 for the east and west facing sides

$400 + $400 = $800

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3 years ago

A triangle contains angles mesuring 28 degrees and 37 degrees. How many degrees is the third angle?​

A triangle contains angles mesuring 28 degrees and 37 degrees. How many degrees is the third angle?