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RUDIKE [14]
3 years ago
12

What does a triangle with the measures 20,60, and 100 degrees look like?

Mathematics
1 answer:
irinina [24]3 years ago
6 0
This most of the angles you asked about except for 20 i m not sure about it sorry

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MARK AS BRAINLIESTT
Lelu [443]

Answer

 B) x + 20 ≥ 50

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The mean points obtained in an aptitude examination is 159 points with a standard deviation of 13 points. What is the probabilit
Korolek [52]

Answer:

0.4514 = 45.14% probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled

Step-by-step explanation:

To solve this question, we have 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 random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 159, \sigma = 13, n = 60, s = \frac{13}{\sqrt{60}} = 1.68

What is the probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled?

This is the pvalue of Z when X = 159+1 = 160 subtracted by the pvalue of Z when X = 159-1 = 158. So

X = 160

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

By the Central Limit Theorem

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

Z = \frac{160 - 159}{1.68}

Z = 0.6

Z = 0.6 has a pvalue of 0.7257

X = 150

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

Z = \frac{158 - 159}{1.68}

Z = -0.6

Z = -0.6 has a pvalue of 0.2743

0.7257 - 0.2743 = 0.4514

0.4514 = 45.14% probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled

7 0
3 years ago
There are 448 reams of paper in thw supply room. Fourteen reams are used each day. At that rate, how many days will the supply o
Mnenie [13.5K]
X = number of days that have passed

448 = 14x

divide both sides by 14

32 = x
3 0
3 years ago
Read 2 more answers
Which of these is a simplified form of the equation 8y + 4 = 6 + 2y + 1y?
larisa86 [58]
The first one would be the right one!
  
you just take all the y one side and the numbers on one side 
 so 8y+4= 6+3y

now 8y-3y= 6-4

therefore 5y = 2 
 
!!

3 0
3 years ago
Read 2 more answers
Carlos started at sea level, climbed a
igomit [66]
19-14? I think first you need to find sea level.
8 0
3 years ago
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