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Flura [38]
3 years ago
5

Which figure is similar to the parallelogram? (Figures may not be drawn to scale.)

Mathematics
2 answers:
Helga [31]3 years ago
4 0

Answer:

A

Step-by-step explanation:

dusya [7]3 years ago
3 0

Answer:

Step-by-step explanation:

in general the parallelogram has same opposite angles.

or it has 68° and 112° as adjacent angles.

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Shelia's measured glucose level one hour after a sugary drink varies according to the normal distribution with μ = 117 mg/dl and
TiliK225 [7]

Answer:

The level L such that there is probability only 0.01 that the mean glucose level of 6 test results falls above L is L = 127.1 mg/dl.

Step-by-step explanation:

To solve this problem, 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 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 \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 117, \sigma = 10.6, n = 6, s = \frac{10.6}{\sqrt{6}} = 4.33

What is the level L such that there is probability only 0.01 that the mean glucose level of 6 test results falls above L ?

This is the value of X when Z has a pvalue of 1-0.01 = 0.99. So X when Z = 2.33.

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

By the Central Limit Theorem

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

2.33 = \frac{X - 117}{4.33}

X - 117 = 2.33*4.33

X = 127.1

The level L such that there is probability only 0.01 that the mean glucose level of 6 test results falls above L is L = 127.1 mg/dl.

6 0
3 years ago
12 is what percent of 19​
VikaD [51]

Answer:

63%

Step-by-step explanation:

12/19=0.63157895

0.63157895*100=63.1578947

7 0
3 years ago
your family is driving to the beach. you travel 200kilometers in the first two hour. during the next hour you stop for lunch and
ziro4ka [17]

Answer:

8

Step-by-step explanation:

4 0
3 years ago
The population of a city decreases by 4.3% per year. If this year's population is p, which expression represents next year's pop
astra-53 [7]
P+4.3%=0 p=-4.3% for each year
6 0
2 years ago
PLEASE ANSWER QUICK
hjlf
R-s=c but I'm not for sure
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3 years ago
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