Answer:
$255
Step-by-step explanation:
Using the information provided, in order to find Marco's starting balance we simply need to add all of his transaction costs together. Once we have this value we simply add it to his ending balance amount which will give us the total dollar value of his starting balance.
20 + 22 + 13 + 39 + 34 + 15 + 31 = 174
174 + 81 = $255
Finally, we can see that Marco's starting balance was a total of $255
A triangle with lengths 5, 12, and 13 is a Pythagorean triple
The approximate acute angles are 22.6° and 67.4°
Pythagorean triple
Pythagorean triple consist of positive number(a, b, c) such that it obeys the rule:
A triangle whose sides form a Pythagorean triple is called a right angle triangle.
The longest side is the hypotenuse side.
Therefore,
- 5² + 12²
- 25 + 144 = 169
- √169 = 13
Therefore,
5² + 12² = 13²
This means the triangle is a Pythagorean triple.
<h3>Acute angles</h3>
Acute angles are angles that are less than 90 degrees. This means the other two angles are acute angle.
Therefore, let's find them
- tan ∅ = opposite / adjacent = tan ∅ = 5 / 12 = ∅ = 22.6198649155 = 22.6°
- 180 - 22.6 - 90 = 67.4°
learn more on Pythagorean triple here: brainly.com/question/2293263?referrer=searchResults
Answer:
99.1 is the 90th percentile of these scores.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 85
Standard Deviation, σ = 11
We are given that the distribution of score is a bell shaped distribution that is a normal distribution.
Formula:
We have to find the value of x such that the probability is 0.90
Calculation the value from standard normal z table, we have,
Putting values, we get,
Thus, 99.1 is the 90th percentile of these scores.
Answer0.7
Step-by-step explanation:In math of mostly means to multiply ,so 2/10x3 1/2=0.7
A little less than 100. 593 is 7 numbers away from 600, so if you divide 6 by 600 hundred the answer is 100. Since 593 is less than 600, the answer will be less than 100.
