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3 years ago

Find two numbers if their sum is 6.1 and their difference is 1.6

1 answer:

5 0

A+b=6.1 ---(1)
a-b=1.6 ---(2)

(1)+(2); 2a=7.7
then a=3.85
so b=a-1.6 = 3.85-1.6 = 2.25

so that the two numbers are 2.25 and 3.85

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Clarke borrows $16000 to buy a car he pays simple interest at an annual rate of 6% over a period of 3.5 years how much does he p

uranmaximum [27]

Clarke borrows $16000 to buy a car he pays simple interest at an annual rate of 6% over a period of 3.5 years how much does he pay all together?
Let’s calculate
=> 16 000 dollars is the amount he borrowed
=> 6% is the annual interest
=> 3.5 years us the total years that he will be paying it.
Solutions:
=> 16 000 dollars * .06 = 960 dollars is the annual interests
=> 960 * 3.5 = 3 360 dollars for 3.5 years
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3 years ago

A table shaped like a solid cube needs to painted. All six faces of the table must be painted. The edge length of the table is 1

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3 years ago

Rabies is a viral disease of mammals transmitted through the bite of a rabid animal. The virus infects the central nervous syste

lisabon 2012 [21]

Answer:

(a) The value of x is 0.30.

(b) The probability that a reported case of rabies is not a raccoon is 0.45.

Step-by-step explanation:

Denote the events as follows:

R = reported case of rabies is a raccoon

F = reported case of rabies is a fox

B = reported case of rabies is a bat

O = reported case of rabies is a some other animal.

The data provided is:

P (R) = 0.55

P (F) = 0.11

P (B) = 0.04

P (O) = x.

(a)

A property of a probability distribution is that the sum of all individual properties is 1.

That is, $\sum P(X)=1$

Compute the value of x as follows:

$\sum P(X)=1\\P(R)+P(F)+P(B)+P(O)=1\\0.55+0.11+0.04+x=1\\0.70+x=1\\x=1-0.70\\x=0.30$

Thus, the value of x is 0.30.

(b)

The probability of the complement of an event is the probability of its not happening.

$P(A^{c})=1-P(A)$

Compute the probability that a reported case of rabies is not a raccoon as follows:

$P(R^{c})=1-P(R)\\=1-0.55\\=0.45$

Thus, the probability that a reported case of rabies is not a raccoon is 0.45.

(c)

Compute the probability that a reported case of rabies is either a bat or a fox as follows:

$P(B\cup F)=P(B)+P(F)\\=0.11+0.04\\=0.15$

Thus, the probability that a reported case of rabies is either a bat or a fox is 0.15.

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3 years ago

Point C is in the interior of

PolarNik [594]

Answer:

Point C is in the interior of angle ABD.

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2 years ago

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3 years ago