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Evgen [1.6K]
3 years ago
13

If the probability of one event occurring is .40 and the probability of a second event occurring is 0.60, then the probability t

hat both events will occur must be 1.0 since that is the maximum value a probability can be. select one:
a. True
b. False
Mathematics
1 answer:
diamong [38]3 years ago
5 0

Let P(A)=0.4 and P(B)=0.6. The the probability both events occurring P(AB)=P(A)P(B|A)=P(B)P(A|B).

This shows P(AB) \leq \min(P(A),P(B)) \\ P(AB) \leq \min(0.4,0.6)\\ P(AB) \leq 0.4

If A and B are independent

P(AB)=P(A)P(B)=0.4*0.6=0.24

Thus, the statement is (B) False.

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The cone pictured has a surface area of ______ square centimeters. (Use 3.14 for π.)
Marina86 [1]
Assuming that the units are in cm
Given,

Diameter of the cone = 12 cm


Using the above, the radius of the cone can be determined, which is half the diameter of the cone

∴ Radius of the cone (r) = 12/2 = 6 cm
Height of the cone (h) = 7 cm

Using the above, slant height (s) = √(r² + h²) = √(6² + 7²) = √36 + 49 = √85 = 9.22 cm

π = 3.14

Now using the above values, we can calculate the total surface area of the cone.
Total surface area of the cone (A) = Lateral surface area of the cone (L) + Base surface area of the cone (B)

Lateral surface area of the cone (L) = π r s = 3.14 x 6 x 9.22 = 173.70 cm²
Base surface area of the cone (B) = π r² = 3.14 x 6² = 113.04 cm²

Total surface area of the cone = L + B = 173.70 + 113.04 = 286.74 cm²


6 0
3 years ago
Plz help me solve this thanks
Alexeev081 [22]

Answer:

y= -6/7

Step-by-step explanation:

.............. I did it, trust me

8 0
3 years ago
Harry and Terry are each told to calculate 8−(2 5). Harry gets the correct answer. Terry ignores the parentheses and calculates
KIM [24]
There is a sign missing, but I think it's a "+" like this:

8-(2+5)

H, ,that is Harry's answer would be:

first the bracket:

8-(7)

and then the whole expression:
8-(7)=1, so H=1

Terry's answer would be:

8-2+5, which we do from left to right:

6+5=11, so T=11

then H-T is 1-11, which is -10.

4 0
3 years ago
Jordan solved the equation −7x + 25 = 48; his work is shown below. Identify the error and where it was made.
fenix001 [56]

Answer:

step 3: he should have divided both sides by -7

8 0
3 years ago
Find the value of x. Justify your answer.
Anna007 [38]

Answer:

x = 8

Step-by-step explanation:

Because the figure in the circle is a square, which has the property of possessing equal sides.

Therefore, the value of x is equal to 0.

5 0
2 years ago
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