Answer:
The first question is A.
The second question is C.
The thid question is B., I think i'm not quit sure sorry
Answer:
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Step-by-step explanation:
Answer:
Data is quantitative, data is categorical, data must be from a simple random sample, the data mut have normal distribution,
Step-by-step explanation:
When we make inference about one population proportion, we must ensure that the sample was taken randomly and observations follow a normal distribution. The sample size must be as large as possible with at least 10 counts of failures an 10 counts of successes. The individual observations must be independent. They must be quantified and categorized.
Answer:
- dimensions: 12 ft by 5 ft
- area: 60 ft²
Step-by-step explanation:
Let x represent the shorter dimension in feet. Then the longer one is x+7 and the Pythagorean theorem tells us the relation of these to the diagonal is ...
x² + (x+7)² = 13²
2x² +14x + 49 = 169 . . . . eliminate parentheses
x² +7x -60 = 0 . . . . . subtract 169 and divide by 2
(x +12)(x -5) = 0 . . . . factor the equation
x = -12 or +5 . . . . . . . only the positive value of x is useful here.
The short dimension is 5 ft, so the long dimension is 12 ft. The area is their product, 60 ft².
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<em>Comment on finding the area</em>
The quadratic equation above can be rearranged and factored as ...
x(x +7) = 60
Since the dimensions of the garden are x and (x+7), this product is the garden's area. This equation tells us the area is 60. We don't actually have to find the dimensions.
Answer:
1. 24 km/hour
2. 48 km
Step-by-step explanation:
1 mile = 1.6 km
cyclist = 15 miles/ hour
we want to multiply speed by something that will cancel miles out and leave km. to do this, we want to multiply it by something with miles on the bottom and km on the top.
this is because
miles * km / miles = km as the miles cancel out and km is left in the numerator
thus,
1 mile = 1.6 km
divide both sides by 1.6 km to get 1 on a side
1 mile / 1.6 km = 1
alternatively, divide both sides by 1 mile to get 1 on a side
1.6 km / 1 mile = 1
since we want miles on the bottom, we choose the second option
cyclist = 15 miles / hour = 15 miles/hour * 1 = 15 miles/hour * 1.6km / 1 mile = 24 km /hour
24 km/hr for 2 hours = 24 km/hr * 2 hours = 24 * 2 km = 48 km
