Answer:
The answer is the fourth choice.
Step-by-step explanation:
The fourth choice is the only one that is supplementary.
Sin x = 0.5
sin x = 1/2
sin x = opp/hyp
therefore the ratio of opp/hyp = 1/2, (opp = 1, hyp = 2)
Find the opp side
1² + x² = 2²
1 + x² = 4
x² = 4 -1
x² = 3
x =√3
The opp side is √3
cos x = opp/hyp = √3/2 = 0.87 (round to the nearest hundredths)
8 out of 40 fifth graders went to see the lab animal presentation. This can be written as this expression:

Find the greatest common factor of 8 and 40:
Factors of 8: 1, 2, 4, 8
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
Therefore the greatest common factor is 8. Divide both the numerator and the denominator by 8.

Therefore the fractional part is

.
To get the percentage, you need to get the denominator to a value of 100.
To do so, you need to find the value to multiply both the numerator and denominator by to achieve this.
To get this value, you can divide 100 by the denominator of the fractional value.

Then you can multiply both the numerator and denominator by 20:

From here, the numerator will state the percentage:

Hope this helps :)
Answer:
b. II and III
Step-by-step explanation:
A graph is a data presentation that has two axis - x and y, divided into appropriate scales.
A scale is used to divide given units into equal parts. It is crucial to and used to create uniformity in drawing of graphs. Choosing a good scale to represent an information on a graph is vital to avoid confusion. This can be done by considering the variations in the values forming the data.
In the question, the single graph shows an information about the bear population in two national parks. Thus, the scale of the y-axis must be adjusted and the identity of the two parks be more differentiated so as to make the graph less misleading.
Answer:
There is no statistical evidence to support the claim that the mean is elss than 74.
Step-by-step explanation:
Given that a paint-drying situation in which drying time for a test specimen is normally distributed with s = 6.
The hypotheses H0: µ = 74 and Ha: µ < 74
are to be tested using a random sample of n = 25 observations
a) Z = 
ie. -1.417 std deviations to the left of mean.
b) p value = 0.078241
Since p > 0.01 , our alpha, accept H0
There is no statistical evidence to support the claim that the mean is elss than 74.