Answer:
<em>The probability of obtaining a score less than 60 is 2.28%
</em>
<em>It happens 2 out of 100 times.</em>
Step-by-step explanation:
If the mean μ = 80 and the standard deviation σ = 10, then we need to find the probability that an X value is less than 60.
Then we find

To find this probability we use the Z statistic.



This is the same as

We look for this value in the table for the normal distribution of right queue and we have:

<em>The probability of obtaining a score less than 60 is 2.28%
</em>
<em>It happens 2 out of 100 times.</em>
OBAN
92
|
| STANRAER
172-------------------------------------112
To read this table you have to draw a vertical from OBAN downward aa horizontal line from the 1st value of STANRAER. The intersection point show the number of miles.
So there are 172 miles & the consumption is 8 mi/gal,. He needs 172/8 gal.
Cost number of gallons needed x price/ gallon
COST = (172/8) x 0.83
COST = (21.5) x 0.83 = 17.845 ≈ $17.85 (1st answer)
Answer:
[you need 343 1 inch cubes]
Step-by-step explanation:
A foot has 12 inches. So if the edge length is 7/12 of a foot, that means that the edge length is 7 inches.
——————
[volume of a cube if the edge length is L, is L x L x L or L cubed]
A one inch cube has an edge length of 1. That means the volume of this cube is 1 x 1 x 1 = 1 inch cubed
——————
This big cube, has an edge length of 7 inches. So the volume is 7 x 7 x 7 = 343 inches cubed.
To find how many 1 inch cubes do you need to fill a 7 inch cube, you divide 343 by 1:
343/1=343 so you need 343 1 inch cubes.
If the p-value is smaller than the level of significance, then it indicates strong evidence against the null hypothesis, as there is less than a 5% probability the null hypothesis is correct.
In this question,
A p-value is a probability, calculated after running a statistical test on data and it lies between 0 and 1. The p-value only tells you how likely the data you have observed is occurred under the null hypothesis.
One of the most commonly used p-value is 0.05. If the value is greater than 0.05, the null hypothesis is considered to be true. If the calculated p-value turns out to be less than 0.05, the null hypothesis is considered to be false, or nullified (hence the name null hypothesis).
A small p-value (< 0.05 in general) means that the observed results are unusual, assuming that they were due to chance only. Now, the smaller the p-value, the stronger the evidence that should reject the null hypothesis.
Hence we can conclude that if the p-value is smaller than the level of significance, then it indicates strong evidence against the null hypothesis, as there is less than a 5% probability the null hypothesis is correct.
Learn more about p-value here
brainly.com/question/15855760
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Answer:
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Step-by-step explanation
it is a vertical line and has no defined slope