The probability that a randomly selected x-value from the distribution will be in the interval:
- P(35 < x < 45) = 0.6827 and,
- P(30 < x < 40) = 0.47725
<h3>What is the probability of a normal distribution?</h3>
The probability of a normal distribution can be determined from the symmetrical curve between 1 to 100%.
From the information given:
- Mean = 40
- Standard deviation = 5
To determine the probability that a randomly selected x-value is in the given interval:
![\mathbf{P(35 < x < 45) = P[Z\le 1] -P[Z\le -1]}](https://tex.z-dn.net/?f=%5Cmathbf%7BP%2835%20%3C%20x%20%3C%2045%29%20%3D%20P%5BZ%5Cle%201%5D%20-P%5BZ%5Cle%20-1%5D%7D)
Using normal distribution table:
P(35 < x < 45) = 0.8414 - 0.1587
P(35 < x < 45) = 0.6827
![\mathbf{P(30 < x < 40) = P[Z\le0]-P[Z\le -2]}](https://tex.z-dn.net/?f=%5Cmathbf%7BP%2830%20%3C%20x%20%3C%2040%29%20%3D%20P%5BZ%5Cle0%5D-P%5BZ%5Cle%20-2%5D%7D)
Using normal distribution table:
P(30 < x < 40) = 0.5 - 0.02275
P(30 < x < 40) = 0.47725
Learn more about the probability of a normal distribution here:
brainly.com/question/4079902
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Answer:
32 yd^2
Step-by-step explanation:
Ignore rounded approximations (i.e. 2.66, 1.33). For all calculations, use fractions and EXACT values.
This prism has 6 surfaces:
- Front: 3 x 2.66 = 8
- Back: 3 x 2.66 = 8
- Top: 3 x 1.33 = 4
- Bottom: 3 x 1.33 = 4
- Side: 1.33 x 2.66 = 4
- Side: 1.33 x 2.66 = 4
Total SA: 8(2) + 4(4) = <u>32 yd^2</u>
Answer:
$ 37.10 for the large necklaces sold
$ 17.20 for the small necklaces sold
$ 54.30 for the total necklaces sold
Step-by-step explanation:
For each large necklace it costs $5.30 so multiply $5.30 x 7= $37.10 because that's how many she sold. For each small necklace it costs $4.30 so multiply $4.30 x 4= $17.20 because that's how many she sold. If you want the total cost of all the necklaces sold you have to add the two prices together. Please give me the brainliest answer?
:) Hoped this helped!!! Have a good day!!! <3
Answer:
4
Step-by-step explanation:
in base 4
21 = (2 * 4) + (1 * 1) = 9
