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Elodia [21]
3 years ago
11

The probability of an event

Mathematics
1 answer:
Readme [11.4K]3 years ago
7 0

Answer:

d. is the sum of the probabilities of the sample points in the event.

Step-by-step explanation:

Suppose we have a fair coin then the the sample space S is given by {(H), (T)}

the head and tail are the sample points.

the probability of sample space will be given by the sum of probability of head and tail. P(S)= P(A) + P(B)

       1= 1/2+ 1/2

The total probability of the sample space always equals 1

The individual probabilities add up to to give the probability of the sample space.

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Sally is 1 year older than 3 times the age of joe.Chirs is 5 years younger than 6 times the age of joe.If sally and Chris are th
Sav [38]
S = sally C = Chris J = Joe
sally is one year older than 3 times the age of joe, so
s = 3j + 1
chris is 5 years younger than 6 times the age of jo, so
c = 6j - 5
sally and chris are the same age so
s = c so
3j + 1 = 6j - 5
-3j -3j
1 = 3j - 5
+5 +5
6 = 3j or
3j = 6
3j/3 = 6/3
j = 2

check
s = c
3(2) +1 = 6(2) - 5
6 + 1 = 12 - 5
7 = 7 correct✅
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4 years ago
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what is The ratio of boys to girls at the dance was 9 to 5. How many girls were at the dance if there were 85 girls at the dance
AleksandrR [38]

Answer: 153 boys

Step-by-step explanation:

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3 years ago
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Rewrite this percent as a decimal:<br> 80%
ella [17]

Answer:

.80

or

0.80

Step-by-step explanation:

80 is out of 100, which is other words is .80 or 0.80

6 0
3 years ago
You measure 20 turtles' weights, and find they have a mean weight of 45 ounces. Assume the population standard deviation is 11.5
Naily [24]

Answer: the maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight = 4.23

Step-by-step explanation:

Formula for margin of error : E=\dfrac{z^*\times (Population\ standard\ deviation)}{\sqrt{Sample\ size}}

, where z* = Critical z-value.

Given: population standard deviation = 11.5 ounces

Sample size = 20

Z value for 90% confidence level = 1.645

margin of error (E) = \dfrac{1.645\times11.5}{\sqrt{20}}

\approx4.23

Hence, the maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight = 4.23

3 0
3 years ago
A potential energy function is given by U = A x3 + B x2 − C x + D . For positive parameters A, B, C, D this potential has two eq
Ivenika [448]

Answer:

7.8655

Step-by-step explanation:

Given the functionl

U=Ax^3+Bx^2-cx+D

Where,

A=1.45J/m^3\\B=2.85J/m^2\\c= 1.7J/m\\D=0.6J

We have, replacing,

U=1.45x^3+2.85x^2-1.7x+0.6

We need to derivate and verify for stable equilibrum that,

\frac{d^2 U}{dx^2}>0

Then,

U'(x) = 4.32x^2+5.7x-1.7

Roots in,

x_1=-1.57008\\x_2=0.250636

We obtain U"(x), then we have

\frac{d^2U}{dx}=8.64x+5.7

For x=-1.57, U"(x)=-7.86549 Unestable

For x=0.250636 U"(x)=7.8655>0 Stable

7 0
3 years ago
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