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defon
2 years ago
13

Line f has a slope of -3. what is the slope of the line that is parallel to line f

Mathematics
1 answer:
andre [41]2 years ago
8 0

Answer:

A line parallel has the same slope, so -3

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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 <em>x</em> is 0.30.

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

(c) The probability that a reported case of rabies is either a bat or a fox is 0.15.

Step-by-step explanation:

Denote the events as follows:

<em>R</em> = reported case of rabies is a raccoon

<em>F</em> = reported case of rabies is a fox

<em>B</em> = reported case of rabies is a bat

<em>O</em> = 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) = <em>x</em>.

(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 <em>x</em> 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 <em>x</em> 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.

4 0
3 years ago
Solve the inequality x + 2 &gt; 6.
Aloiza [94]

Answer:

x > 4

Step-by-step explanation:

x + 2 > 6

   -2    -2

x       > 4

7 0
3 years ago
Read 2 more answers
Drag each expression to show whether it is equivalent to 54x plus 18, 18(3x minus 1), or (6 times 9x) plus (6 times 1)
topjm [15]

The first option is

18(3x-1) = 18\cdot 3x - 18\cdot 1 = 54x-18

The second option is

6\cdot 9x + 6\cdot 1 = 54x + 6

So, neither of them is equivalent to 54x+18

8 0
3 years ago
Point e is located at -5,2 point m is the reflection of point e what is the distance between e and m
nataly862011 [7]

Answer:

the distance is 10

Step-by-step explanation:

-5,2 to 0,0 is 5

and the refection of -5,2 is 5,2

5,2 to 0,0. is also 5

5+5=10

4 0
3 years ago
A conical paper cup has a radius of 2 inches. Approximate, to the nearest degree, the angle β (see the figure) so that the cone
Aneli [31]
I don't know where the angle β is, so I will make the assumption that tanβ = h/r
V = \frac{1}{3} \pi r^{2} h

V volume = 60
r radius = 2
h = r tanβ

tan \beta = \frac{3V }{ \pi  r^{3} } = \frac{ 180}{25,1} = 7,17 \\  \\  \beta = 82
7 0
3 years ago
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