The computation shows that the number of possible ways will be 12.
<h3>How to calculate the value?</h3>
From the information given, Mary has four t-shirts-T₁, T2, T3, and T4, and three pairs of jeans-J1, J2, and J3.
Therefore, the number of possible ways that she can choose her outfit will be:
= 4 × 3 = 12
In conclusion, the correct option is 12.
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Answer:
Maisha ran the race in .36 seconds faster than Patti.
8.4 - 8.04 = .36
Answer:
x=−3
Step-by-step explanation:
−x+3=6
Step 1: Subtract 3 from both sides.
−x+3−3=6−3
−x=3
Step 2: Divide both sides by -1.
−x
−1
=
3
−1
x=−3
We don't know what the exact p-value is, but we are told that it's as large as 0.005 which is smaller than alpha = 0.05
Since the p-value is smaller than alpha, this means we <u>reject the null hypothesis</u>.
The way you can remember this is "if the p-value is low, then the null must go". By "low", I mean "smaller than alpha".
Recall that the p-value is the probability of observing that specific test statistic, or larger. So the chances of chi-squared being 18.68 or larger is a probability between 0.0025 and 0.005; there's a very small chance of this happening. The p-value is based entirely on the assumption that the null is correct. But if the null is correct, then the chances of landing on this are very small. We have a contradiction that basically leads to us concluding the null must not be the case. It's not 100% guaranteed of course, but it's fairly strong evidence.
In short, the p-value being smaller than alpha = 0.05 means we reject the null.
In order to accept the null, the p-value must be 0.05 or larger.
Answer:
7.9 ft
Step-by-step explanation:
The hypotenuse is the side opposite of the right angle, hence the hypotenuse for this triangle is 11 ft.
Side
is adjacent to the angle given. So we need adjacent and we have hypotenuse. Which trigonometric ratio relates adjacent and hypotenuse? It is COSINE.
<em>Thus, we can write:</em>

<em>Cross multiplying, we can solve for
:</em>

Rounding to nearest tenth, we have
ft.