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andrew-mc [135]
3 years ago
5

3M

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
7 0
Liza did 60 push ups

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Select the most accurate statement regarding the normal distribution. Group of answer choices It is always the appropriate distr
PSYCHO15rus [73]

Answer:

There is a 95% chance that values will be within ±2 standard deviations of the mean.

Step-by-step explanation:

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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this question:

According to the empirical rule, 95% of the measures are within 2 standard deviations of the mean. So the correct statement is:

There is a 95% chance that values will be within ±2 standard deviations of the mean.

4 0
3 years ago
(9x-9)(9×+9), your finding the difference between two squares. im have some trouble in how to solve it.​
sergejj [24]

Answer: Your answer is 0 (F.O.I.L) first. outer. inner. last. Or you could use what my teacher calls the magic box

Step-by-step explanation:

So for the boxes you multiply for example the top left box you multiply the 9 above it and the 9 to the left or like the top right box you multiply the -9 above it and the 9 on the outside of the box to the left

8 0
3 years ago
What is the x-intercept of the line 10x-5y=40
jasenka [17]

Answer:

4

Step-by-step explanation:

The x-intercept occurs when y=0, if you think about it graphically.  Plug y=o into your equation:

10x - 5(0) = 40

10x = 40 (divide each side by 10)

x=4

8 0
3 years ago
Please help me with this question PLEASE
uysha [10]
Assume Josh made X cupcakes; Alice made Y cupcakes; Tom made Z cupcakes.
Josh made 10 more cakes than Alice so, 
X = Y + 10 ---- 1st Eqn.

Alice made 8 more than Tom so, 
Y= Z+8 --- 2nd Eqn. 

Total cakes = 62 so, 
X+Y+Z = 62  ---- 3rd Eqn.

by solving three equations we get X= 30; Y= 20; Z=12.
So Tom made 12 cupcakes 
7 0
3 years ago
Can I get help......​
Ivenika [448]
The answer is C -208 degrees Fahrenheit!
6 0
3 years ago
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