Answer:
A. -0.13
Step-by-step explanation:
Hello!
The objective is to compare the usage of the word "pop" to refer to sweetened carbonated beverages for Ohio and Michigan.
From a random sample taken of Ohio residents, 61% of them used the word "pop" and from a random sample of Michigan residents, 74% of them used the word "pop".
You need to conduct a hypothesis test to determine if the proportion of Ohio residents that use the word "pop" is less than the proportion of Michigan residents that use the word.
Be:
X₁: Number of Ohio residents that use the word "pop" to refer to a sweetened carbonated beverage.
X₂: Number of Michigan residents that use the word "pop" to refer to a sweetened carbonated beverage.
The parameters of interest are the population proportions of both states.
Symbolized: p₁ < p₂ ⇒ you can also express it as a difference p₁ - p₂ < 0
Then the statistic hypotheses are:
H₀: p₁ - p₂ ≥ 0
H₁: p₁ - p₂ < 0
You can say then that the parameter of the test is the difference between the population proportions and its point estimate will be the difference of sample proportions, then:
Sample proportion 1 :p'₁= 0.61
Sample proportion 2: p'₂= 0.74
The difference is
p'₁ - p'₂= 0.61 - 0.74= -0.13
The correct answer is A.
I hope this helps!
Answer:
3,432 m²
Step-by-step explanation:
The amount of aluminum in square meters needed to make the mailboxes = 1863(surface area of each mailbox)
Surface area of each mail box = ½(surface area of cylinder) + (Surface area of rectangular prism/box - area of the surface of the box that joins the half-cylinder)
✔️Surface area of ½-cylinder = ½[2πr(h + r)]
r = ½(0.4) = 0.2 m
h = 0.6 m
π = 3.14
Surface area of ½-cylinder = ½[2*3.14*0.2(0.6 + 0.2]
= 0.628(0.8)
Surface area of ½-cylinder = 0.5024 m²
✔️Surface area of the rectangular box/prism = 2(LW + LH + WH)
L = 0.6 m
W = 0.4 m
H = 0.55 m
Surface area = 2(0.6*0.4 + 0.6*0.55 + 0.4*0.55)
Surface area of rectangular box = 1.58 m²
✔️Area of the surface joining the half cylinder and the box = L*W = 0.6*0.4 = 0.24 m²
✅Surface area of 1 mailbox = (0.5024) + (1.58 - 0.24)
= 0.5024 + 1.34
= 1.8424
Amount of aluminum needed to make 1863 mailboxes = 1863 × 1.8424 = 3,432.3912
= 3,432 m²
<h3>
Answer: See the attached image below</h3>
It shows your screenshot, but I've filled in the blanks with the answers.
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Explanation:
Positive integers represent yards that the team gains. On the opposite side, negative integers represent yards the team loses.
For example, if a team gains 3 yards, then we write that as +3 or simply 3. If a team loses 5 yards, then we write -5. Adding 3 to -5 gets us 3+(-5) = -2 showing the overall result is a loss of 2 yards at the end of the second down.
As another example, if a team gains 7 yards on first down, but then loses those 7 yards on second down, then they gained overall 7+(-7) = 0 yards overall. They haven't gone anywhere at the end of the second down.
We could do things the other way around like this. Suppose the team loses 8 yards on first down, but has better luck on second down to gain 8 yards. They get back to the original line of scrimmage (back to the starting point) and we can say -8+8 = 0. The team hasn't gone anywhere, but it could be worse and they could be dealing with a loss of yardage.
It might help to set up a vertical number line to help try to visualize negative numbers. Each gain means you go upward. Each loss means you go downward. In a sense, it's like a skyscraper and each integer represents floors of the building. Negative integers are basement floors. Zero is the ground level.
Answer: No solution
Step-by-step explanation:
Answer: 128 pieces of candy for all the cookies.