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ladessa [460]
3 years ago
12

Just #2 . Help !! Please :)

Mathematics
2 answers:
kirza4 [7]3 years ago
8 0
180- 113 = 67

180- 67= 113

<5= 67
<2=113
liubo4ka [24]3 years ago
4 0
  • Alternate Interior Angles: They are angles that are diagonal from each other. They are formed by two parallel lines being crossed by a transversal, and <u>are congruent to each other.</u>
  • Linear Pair: Pair of adjacent angles formed when two lines intersect. <u>They are supplementary, or add up to 180°</u>

Starting with ∠2 , <u>∠2 is an alternate interior angle to 113° angle.</u> Since Alternate Interior angles are congruent to each other, <u>this means that ∠2 is 113°</u>

Next with ∠5, <u>∠5 and 113° angle are a linear pair.</u> This means that they are supplementary, or add up to 180°. Using what we know, we can solve for ∠5's degree as such:

\angle\ 5 + 113\text{\textdegree} = 180\text{\textdegree}\\\angle\ 5=67\text{\textdegree}

<u>∠5 is 67°</u>

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Answer:

3rd option

Step-by-step explanation:

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8 0
3 years ago
CNNBC recently reported that the mean annual cost of auto insurance is 965 dollars. Assume the standard deviation is 113 dollars
velikii [3]

Answer:

P(939.6 < X < 972.5) = 0.6469

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

CNNBC recently reported that the mean annual cost of auto insurance is 965 dollars. Assume the standard deviation is 113 dollars.

This means that \mu = 965, \sigma = 113

Sample of 57:

This means that n = 57, s = \frac{113}{\sqrt{57}} = 14.97

Find the probability that a single randomly selected policy has a mean value between 939.6 and 972.5 dollars.

This is the pvalue of Z when X = 972.5 subtracted by the pvalue of Z when X = 939.6. So

X = 972.5

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{972.5 - 965}{14.97}

Z = 0.5

Z = 0.5 has a pvalue of 0.6915

X = 939.6

Z = \frac{X - \mu}{s}

Z = \frac{939.6 - 965}{14.97}

Z = -1.7

Z = -1.7 has a pvalue of 0.0446

0.6915 - 0.0446 = 0.6469

So

P(939.6 < X < 972.5) = 0.6469

3 0
2 years ago
ANSWER THIS QUESTION FAST AND I WILL GIVE YOU BRAINLEST
fiasKO [112]

Answer:

{y,x} = {-6,-2}

Step-by-step explanation:

/ Solve equation [2] for the variable  y  

 [2]    y = 2x - 2

// Plug this in for variable  y  in equation [1]

  [1]    (2x-2) - x = -4

  [1]    x = -2

// Solve equation [1] for the variable  x  

  [1]    x = - 2

// By now we know this much :

   y = 2x-2

   x = -2

// Use the  x  value to solve for  y  

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6 0
3 years ago
How many tons are in 40000 pounds
GarryVolchara [31]
If you're on about us tons then it = 20 
However if it's tonnes then it = 18.143695 
6 0
3 years ago
How can I do this exercise? <img src="https://tex.z-dn.net/?f=%5Cfrac%7B-2%7D%7B12%7D%20%3D%20%5Cfrac%7Bx%20%2B%201%7D%7Bx%20%2B
matrenka [14]

Answer:

-8/7 =x

Step-by-step explanation:

-2         x+1

----- = -----------

12         x+2

Using cross products

-2 (x+2) = 12 (x+1)

Distribute

-2x -4 = 12x+12

Add 2x to each side

-2x+2x -4 = 12x+2x+12

-4 = 14x +12

Subtract 12 from each side

-4-12 = 14x

-16 = 14x

Divide each side by 14

-16/14 =14x/14

-8/7 =x

3 0
3 years ago
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