Answer:
(a) $3800
(b) (a) -- April to May
Step-by-step explanation:
<h3>(a)</h3>
The least amount is found at the lowest point on the graph. That point is in May. It is on the line between 3700 and 3900, so the amount is $3800.
The least donation amount is a month is $3800.
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<h3>(b)</h3>
The greatest month-to-month decrease is found where the line on the graph has the steepest negative slope. There are two segments with negative slope:
- April - May (decrease of $500)
- June - July (decrease of $100)
The decrease from April to May is by far the largest of these two decreases.
The greatest decrease occurred April to May.
Answer:
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A) The answer is 24 m
x - the distance from the spot on the beach to the parking lot
Triangles that are divided by x distance is similar, and therefore:
x : 18 = 32 : x
x * x = 18 * 32
x² = 576
x = √576
x = 24
Thus, the distance <span>the spot on the beach from the parking lot is 24 m.
</span>
b) The answer is 40 m.
x - the distance from the spot on the beach to the parking lot
b - distance from the parking lot to the refreshment stand.
First, find the horizontal leg (a) of the biggest right triangle. According to the Pythagorean theorem:
a² + b² = c²
a = ?
b = ?
c = 32 m + 18 m = 50 m
Find a from the right triangle which sides are a (as a hypotenuse), x, and 18 m.
x² + 18² = a²
x = 24
24² + 18² = a²
576 + 324 = a²
900 = a²
a = √900
a = 30 m
Now, find b:
a² + b² = c²
30² + b² = 50²
900 + b² = 2500
b² = 2500 - 900
b² = 1600
b = √1600
b = 40 m
Thus the distance from the parking lot to get the refreshment stand is 40 m.
<u>Question Completion</u>
(a)In this region, are the events "silver" and "black" mutually exclusive:? Choose 1 answer
(A) Yes (B) No
(b) Find the probability that a randomly selected car from this region is mainly silver OR mainly black. P (silver OR black)=
Answer:
(a)Yes
(b)0.41
Step-by-step explanation:
(a) The events silver and black are mutually exclusive. Although a car's color can consist of both silver and black, its main color can only be either silver or black. It cannot be both
(b)In probability theory, given two mutually exclusive events A and B.
P(A or B)=P(A)+(B)
Therefore:
P (silver OR black)= P(silver) + P(black)
= 0.22 + 0.19
= 0.41
