Liam watched a ladybug in the yard. It crawled 1/4 of an inch, then rested for a bit, and then crawled 1/6 of an inch more. How
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Answer:
A two-sample t-test for a difference between sample means
Step-by-step explanation:
<u>Explanation</u>:-
A random sample of 50 bags from each of Brand X and Brand Y was selected
Given two sample sizes n₁ and n₂
Each bag was held from its rim, and one-ounce weights were dropped into the bag one at a time from the same height until the bag ripped
mean of ounces the first sample = x⁻
mean of the second sample =y⁻
Given data one-ounce weights were dropped into the bag one at a time from the same height until the bag ripped
Standard deviation of the first sample = S₁
Standard deviation of the second sample = S₂
Now we use t - distribution for a difference between the means
where
Degrees of freedom γ = n₁ +n₂ -2
1. It's all about pattern matching, as a lot of math is.
Letter A corresponds to letter J, as both are first in the names of their respective triangles.
Letter B corresponds to letter K, as both are second in the triangle names. Likewise, letter C corresponds to letter L, as both are last.
Realizing this, it should not be too much of a stretch to see
∠B ⇒ ∠K
∠C ⇒ ∠L
AC ⇒ JL
BC ⇒ KL
2. Same deal. Match the patterns. Here, you're counting rings in the angle marks.
1 ⇒ 1, so A ⇒ R
2 ⇒ 2, so B ⇒ Q
since the figures are reportedly similar, you can continue in the same order to finish.
ABCD ~ RQPS
3. The marked triangles cannot be similar. There are a number of ways to figure this. Basically, you want the ratios of sides to be the same for any similar triangles.
Here, you can eliminate the marked ones because the short side is too short relative to the others. (The average of the other two sides is double the short side in the similar triangles.)
Letter A corresponds to letter J, as both are first in the names of their respective triangles.
Letter B corresponds to letter K, as both are second in the triangle names. Likewise, letter C corresponds to letter L, as both are last.
Realizing this, it should not be too much of a stretch to see
∠B ⇒ ∠K
∠C ⇒ ∠L
AC ⇒ JL
BC ⇒ KL
2. Same deal. Match the patterns. Here, you're counting rings in the angle marks.
1 ⇒ 1, so A ⇒ R
2 ⇒ 2, so B ⇒ Q
since the figures are reportedly similar, you can continue in the same order to finish.
ABCD ~ RQPS
3. The marked triangles cannot be similar. There are a number of ways to figure this. Basically, you want the ratios of sides to be the same for any similar triangles.
Here, you can eliminate the marked ones because the short side is too short relative to the others. (The average of the other two sides is double the short side in the similar triangles.)