What is 825 divided by 3? I need it asap

Final answer:

Given the values sin(t) = 0.45 and sin(w) = 0.89, both for angles in the first quadrant, we can determine that the angle w is greater than the angle t. This is because in the first quadrant, the sine of an angle increases as the angle increases.

Explanation:

The sine of an angle in the unit circle, sin(t) or sin(w), is the y-coordinate of the point where the angle intersects the unit circle. The angles are in quadrant 1, where sine values are positive, as are the angles themselves. Given sin(t) = 0.45 and sin(w) = 0.89, we know that the sine of an angle increases as the angle increases within the first quadrant (from 0 to 90 degrees). Therefore, sin(w) > sin(t) implies that w > t.

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Answer:

We conclude that the new teaching method does not negatively affects reading comprehension scores.

Step-by-step explanation:

We are given that an educational psychologist wants to test whether a new teaching method negatively affects reading comprehension scores.

She randomly selects 30 6th grade students that were taught under the new teaching method and finds that their scores on a standardized reading comprehension test have a mean equal to 118.8 with a variance equal to 37.2.

Scores on the standardized test in the general population of 6th graders are distributed approximately normally with a mean equal to 119.8.

Let = mean scores on a standardized reading comprehension test.

So, Null Hypothesis, : 119.8      {means that the new teaching method does not negatively affects reading comprehension scores}

Alternate Hypothesis, : < 119.8    {means that the new teaching method negatively affects reading comprehension scores}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

                      T.S. =    ~

where, = sample mean test score = 118.8

            s = sample standard deviation = = 6.1

            n = sample of 6th grade students = 30

So, test statistics  =    ~

                              =  -0.898

The value of t test statistics is -0.898.

Since, in the question we are not given with the level of significance so we assume it to be 5%. Now, at 5% significance level the t table gives critical value of -1.699 for left-tailed test.

Since our test statistic is more than the critical value of t as -0.898 > -1.699, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the new teaching method does not negatively affects reading comprehension scores.

Answer:

-0.5

Step-by-step explanation:

Answer:

−8x+1  / 4x

Step-by-step explanation:

Answer:

0.6

Step-by-step explanation:

12/20 = 6/10 = 0.6

Final answer:

To find the value of z such that 0.11 of the area lies to the right of z, use the standard normal probability table. The value of z is approximately 1.96.

Explanation:

To find the value of z such that 0.11 of the area lies to the right of z, we can use the standard normal probability table. The area to the right of z is equal to 1 minus the area to the left of z.

Using the information given, the area to the left of z that corresponds to a value of 0.025 is 0.975. The area to the left of 1.96, which can be found using the standard normal probability table, is 0.975.

Therefore, the value of z is approximately 1.96.

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Answer:

1.23?

Step-by-step explanation:

Answer:

$183.7125

Step-by-step explanation:

Given,

Original investment, A = $ 5,175.00

In first year,

Thetotal investment = $ 5,175.00

The amount is increased by 9 %,

Thus, the final amount at the end of first year,

In Second year,

The total investment = $ 5640.75,

The amount is decreased by 5 %,

Thus, the final amount at the end of second year,

Hence,