Answer: The largest angle formed during his trip is at the mall between his home and the library.
Step-by-step explanation:
Hi, since the situation forms a right triangle (see image attached) the angle formed between his home and the library is 90°.
The sum of the interior angles of a right triangle is 180°, and the right angle (90°)is the largest angle formed.
So, the largest angle formed during his trip is at the mall between his home and the library.
Feel free to ask for more if needed or if you did not understand something.
Answer:
We are confident that the true proportion of people satisfied with the quality of education the students receive is between (0.3995, 0.4564), since the lower value for this confidence level is higher than 0.38 we have enough evidence to conclude that the parents' attitudes toward the quality of education have changed.
Step-by-step explanation:
For this case we are interesting in the parameter of the true proportion of people satisfied with the quality of education the students receive
The confidence level is given 95%, the significance level would be given by
and
. And the critical values are:
The estimated proportion of people satisfied with the quality of education the students receive is given by:

The confidence interval for the proportion if interest is given by the following formula:
And replacing the info given we got:
We are confident that the true proportion of people satisfied with the quality of education the students receive is between (0.3995, 0.4564), since the lower value for this confidence level is higher than 0.38 we have enough evidence to conclude that the parents' attitudes toward the quality of education have changed.
Answer:
A- 7.4 ⋅ 10−4 mm
Step-by-step explanation:
Well, to solve this problem, we must convert the number and / or the units in a more imaginable one.
We are given two choices:
a. 7.4 x 10^-4 mm
b. 7.4 x 10^4 mm
Converting the units and numbers into meters and general form, respectively. (What is meant by general form is not to write it in scientific notation).
a. 7.4 x 10^-4 mm (1 m / 1000 mm) = 0.00000074 m
b. 7.4 x 10^4 mm (1 m / 1000 mm) = 74 m
Now comparing the two values above, what do you think is the distance between the tracks on a DVD? Definitely NOT 74 m or else the DVD is extremely big. Therefore the correct is the smaller one.
If you're doing it mentally, you should find a common factor between the nominator and denominator that also multiplies to make 100.
So here,
Divide top and bottom by 6.
That gives you: 3/4
3/4 is 75%
3 x 25 = 75