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expeople1 [14]
3 years ago
7

What term best describes the set of all points in a plane for which the sum of the distances to two fixed points equals a certai

n constant?
Mathematics
2 answers:
KatRina [158]3 years ago
8 0
Hello there.
<span>
What term best describes the set of all points in a plane for which the sum of the distances to two fixed points equals a certain constant?
</span>
ellipse
MakcuM [25]3 years ago
3 0
You are referring to an ELLIPSE.

In mathematics, an ellipse<span> is a curve in a plane surrounding two focal points such that the sum of the distances to the two focal points is constant for every point on the curve. As such, it is a generalization of a circle, which is a special type of an </span>ellipse<span>having both focal points at the same location.
</span>

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Verify that the functions are probability mass functions, and determine the requested probabilities.
Free_Kalibri [48]

Answer:

a) 3/64 = 0.046 (4.6%)

b) 63/64 = 0.9843 (98.43%)

c) 1/64 = 0.015 (1.5%)

d) 1/4 = 0.25 (25%)

Step-by-step explanation:

in order to verify that the f(x) is a probability mass function , then it should comply the requirement that the sum of probabilities over the entire space of x is equal to 1. Then

∑f(x)*Δx = 1

if f(x)=(3/4)(1/4)^x , x = 0, 1, 2, ...

then Δx=1 and

∑f(x) = (3/4)∑(1/4)^x = (3/4)* [ 1/(1-1/4)] = (3/4)*(4/3) = 1

then f represents a probability mass function

a) P(X = 2)= f(x=2) = (3/4)(1/4)^2 = 3/64 = 0.046 (4.6%)

b) P(X ≤ 2) = ∑f(x) =  f(x=0)+ f(x=1) + f(x=2) = (3/4) + (3/4)(1/4) +  3/64 = 63/64 = 0.9843 (98.43%)

c) P(X > 2)= 1- P(X ≤ 2) = 1 - 63/64 = 1/64 = 0.015 (1.5%)

d) P(X ≥ 1) = 1 - P(X < 1) = 1 - f(x=0) = 1- 3/4 = 1/4 = 0.25 (25%)

4 0
3 years ago
HELPS ASAP PLZ
den301095 [7]

Answer:

you would need to get 4 packages of hotdogs and 5 packages of buns

4*10=40

5*8=40

Step-by-step explanation:

5 0
3 years ago
What percent of 752 is 25?
wariber [46]
25 is about 3.32% of 752.
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3 years ago
The vertical _____ of a function secant are determined by the points that are not in the domain.
shusha [124]
The vertical asymptotes of a function secant are determined by the points that are not in domain.
Thank you.
7 0
3 years ago
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If dave runs 1.8 kilometers in 15 minutes , what is his average rate
lana66690 [7]
His average rate is 120 meters per minute.
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3 years ago
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