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wlad13 [49]
3 years ago
11

What are the mensure of 1 angle and 2 angle? Show ur work or explain

Mathematics
1 answer:
STatiana [176]3 years ago
6 0

Answer:

angle 1 = 105º

angle 2  = 75º

Step-by-step explanation:

angle 2  = 75º

corresponding angle to the 75º angle

angle 1 = 105º

it's supplementary to angle 2

180 - 75 = 105

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Help! find g(x)-f(x) if f(x)=-3x+4 and g(c) =5x-12
Marianna [84]
Replace f(x) and g(x) with what they equal:

5x - 12 - (-3x + 4)
5x - 12 + 3x - 4

Combine like terms:

5x + 3x = 8x
-12 - 4 = -16

8x - 16

The answer is C.
7 0
3 years ago
At a large university, the mean amount spent by students for cell phone service is $58.90 per month with a standard deviation of
zhenek [66]

Answer:

2.28% probability that the mean amount of their monthly cell phone bills is more than $60

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 normally distributed samples are 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.

In this problem, we have that:

\mu = 58.90, \sigma = 3.64, n = 44, s = \frac{3.64}{\sqrt{44}} = 0.54875

What is the probability that the mean amount of their monthly cell phone bills is more than $60?

This is 1 subtracted by the pvalue of Z when X = 60. So

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

By the Central Limit Theorem

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

Z = \frac{60 - 58.90}{0.54875}

Z = 2

Z = 2 has a pvalue of 0.9772

1 - 0.9772 = 0.0228

2.28% probability that the mean amount of their monthly cell phone bills is more than $60

4 0
3 years ago
Please help ! This is due today .
mr Goodwill [35]
Hey! In the first box, color 4 squares blue. I am not really sure exactly how many to color blue in the second one, but I would go with coloring 2 blue. In the third box, do not mark any squares blue. Hope this helps!
5 0
3 years ago
Read 2 more answers
The price of a gallon of heating oil rose from 1.60 a gallon to 1.92 . by what percent did the price increase?
AURORKA [14]

Answer:

20%

Step-by-step explanation:

1.92 - 1.60 = 0.32

percentage increase = (0.32/1.60) * 100 =

0.2 * 100 = 20%

3 0
3 years ago
Read 2 more answers
I can't get the answer lol
Gelneren [198K]

Answer:

-7/4

Step-by-step explanation:

Recall that slope, m, is defined as the ratio rise to run:  rise/run.

Note that if we start at x = -2 (an arbitrary choice), and move 6 units to the right, we end up at x = 4.  This is the 'run.'  Simultaneously, y starts at 1 and decreases to - 6, a change of -7.  

Thus, the slope of the line through these two points is m = rise/run = -7/4

6 0
2 years ago
Read 2 more answers
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