Answer:
Step-by-step explanation:
To solve problems like this, we need to multiply the base ,
, the amount of times as the exponent, 4.
Essentially, the equation is x x x .
The product would be .
Now we can't forget that the exponent is a negative. But because the exponent is an even number, we don't need to worry about that.
Hope this helped :)
Answer:
See Below
Step-by-step explanation:
Ok, so in this problem you have some vertical angles. These are angles oppisites from each other. Therefore; d = 52, f = ?, and e = 77. All the angles added together will = 360. Let's add up the angles we know and subtract the whole from 360.
52 + 52 + 77 + 77 = ?
104 + 154 = 258
360 - 258 = 102
Since we know that f and the unlabeled angle are the same, we need to divide this total between the two of them.
102/2 = 51
Therefore;
d = 52
e = 77
f = 51
Answer: 0.935
Explanation:
Let S = z-score that has a probability of 0.175 to the right.
In terms of normal distribution, the expression "probability to the right" means the probability of having a z-score of more than a particular z-score, which is Z in our definition of variable Z. In terms of equation:
P(z ≥ S) = 0.175 (1)
Equation (1) is solvable using a normal distribution calculator (like the online calculator in this link: http://stattrek.com/online-calculator/normal.aspx). However, the calculator of this type most likely provides the value of P(z ≤ Z), the probability to the left of S.
Nevertheless, we can use the following equation:
P(z ≤ S) + P(z ≥ S) = 1
⇔ P(z ≤ S) = 1 - P(z ≥ S) (2)
Now using equations (1) and (2):
P(z ≤ S) = 1 - P(z ≥ S)
P(z ≤ S) = 1 - 0.175
P(z ≤ S) = 0.825
Using a normal distribution calculator (like in this link: http://stattrek.com/online-calculator/normal.aspx),
P(z ≤ S) = 0.825
⇔ S = 0.935
Hence, the z-score of 0.935 has a probability 0.175 to the right.
