9514 1404 393
Answer:
B. 39°, 106°, 43°
Step-by-step explanation:
The sum of angle measures in a triangle is 180°. Then the sum of angle expressions will be 180.
(3x +1) +(11x -4) +(5x -7) = 180
19x -10 = 180 . . . . . collect terms
19x = 190 . . . . . . . . add 10
x = 10 . . . . . . . . . . . divide by 19
__
Then the three angle measures are ...
- 3·10 +1 = 31
- 11·10 -4 = 106
- 5·10 -7 = 43
The appropriate choice is ...
B. 31°, 106°, 43°
Total is $18.72 so the shopper would need to buy 6 of the 8 packs!!!
Answer:
Either B or D.
Step-by-step explanation:
I consider both options valid. It all depends on how the employer is keeping track of time, ie if the pay "ticks" every 60 minutes, or an employee is allowed to clock in half hours.
Will I be able to work 30 and a half hour for example? If I'm allowed to, D.
If I have to work multiple of 60 minutes, B.
Using the normal distribution, the probabilities are given as follows:
a. 0.4602 = 46.02%.
b. 0.281 = 28.1%.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean 
and standard deviation 
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
The parameters are given as follows:
Item a:
The probability is <u>one subtracted by the p-value of Z when X = 984</u>, hence:
Z = 0.1
Z = 0.1 has a p-value of 0.5398.
1 - 0.5398 = 0.4602.
Item b:
By the Central Limit Theorem:
Z = 0.58
Z = 0.58 has a p-value of 0.7190.
1 - 0.719 = 0.281.
More can be learned about the normal distribution at brainly.com/question/4079902
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Answer: 2/5
Step-by-step explanation: The total number of letters available to choose from is 10. You want to know the probability of 4 of those 10. So you divide 4/10. When you simplify that fraction it becomes 2/5.
