Answer:
65 degrees
Step-by-step explanation:
Since complementary angles are 2 angles that add up to 90 degrees, all you have to do is subtract 25 from 90.
When you do that you get 65.
Example: 90 - 25 = 65
2,500 yea is that what you were looking for
keeping in mind that there are 100cm in 1 meter.
the container is 300 cm by 600 cm by 400 cm, namely 72000000 cm³.
the boxes are 50 cm by 50 cm by 50 cm or 125000 cm³.
namely, how many times does 125000 go in to 72000000 ?
well, is just their quotient, 72000000 ÷ 125000.
Answer:
Step-by-step explanation:
This is of the form
where h and k are the coordinates of the vertex, and the values that tell us the translation of the parent graph from its starting point (which is always the origin). The 2 out front, the a value, tells us that the graph of this parabola is a bit slimmer than the parent graph, but does nothing to its translation (or movement). It does, however, tell us which way the parabola opens. Because the parabola opens upwards, the 2 is positive. The h value tells us our side to side movement. The "(x - " part is very important because it doesn't change. If we have (x - 2), then it is understood to be (x - (2)) which is movement 2 units to the right (because positive numbers move right or up, while negative numbers move left or down). If we have (x + 2), then it is understood to be (x - (-2)) which is movement 2 units to the left. Because our parabola is shifted 2 units to the right, it reflects (x - 2) squared. It is shifted up 2 so the k value is a +2. The equation for this parabola could be B only.
Using the <em>normal distribution and the central limit theorem</em>, it is found that there is a 0.1335 = 13.35% probability that 100 randomly selected students will have a mean SAT II Math score greater than 670.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation .
In this problem:
- The mean is of 660, hence .
- The standard deviation is of 90, hence .
- A sample of 100 is taken, hence .
The probability that 100 randomly selected students will have a mean SAT II Math score greater than 670 is <u>1 subtracted by the p-value of Z when X = 670</u>, hence:
By the Central Limit Theorem
has a p-value of 0.8665.
1 - 0.8665 = 0.1335.
0.1335 = 13.35% probability that 100 randomly selected students will have a mean SAT II Math score greater than 670.
To learn more about the <em>normal distribution and the central limit theorem</em>, you can take a look at brainly.com/question/24663213