Answer:
m∠B ≈ 41.81°
Step-by-step explanation:
If we draw a picture, it would help a lot. Once we visualize the triangle, we can see that we have sin∅ = 2/3. So, plugging into your calc,
sin∅ = 2/3
∅ = sin^-1(2/3)
∅ = 41.8103
0.8333 repeated is 5/6 in decimal form.
<em>Greetings from Brasil...</em>
According to the statement, one figure is scaled in relation to another, so we can apply similarity to polygons.....
So
BIG/small = BIG/small
or
small/BIG = small/BIG
27/X = 45/35
OR
35/45 = X/27
27/X = 45/35
45X = 27·35
45X = 945
X = 945/45
<h2>X = 21</h2>
Answer:
There is sufficient evidence to support the claim that the standard deviation of time all women spend washing their hair in the morning is 15 seconds
Step-by-step explanation:
We shall need to formulate the hypotheses but first we need to understand the claim in context of this question. The claim is that the standard deviation of time all women spend washing their hair in the morning is 15 seconds. In mathematical notation, this claim can be written as follows;
σ = 15
Clearly the claim contains an equality sign and thus it qualifies to be our null hypothesis;
H0: σ = 15
The complement of the above hypothesis will be our alternative hypothesis;
Ha: σ ≠ 15
We are then informed that the initial conclusion of the test fails to reject the null hypothesis. In short this implies that we fail to reject the claim that the standard deviation of time all women spend washing their hair in the morning is 15 seconds since this claim is our null hypothesis. If we fail to reject a claim in hypothesis testing, this implies that there is sufficient evidence to support the claim. Therefore, there is sufficient evidence to support the claim that the standard deviation of time all women spend washing their hair in the morning is 15 seconds
Answer:
80 miles
Step-by-step explanation:
1 hour is equivalent to 60 minutes. Because 15/60 is just 1/4, 1/4 * 320 is the same as 320 divided by 4. Thus, the answer is 80.
