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marin [14]
3 years ago
7

Categorize each of the following physical quantities as either a vector or a scalar quantity:

Mathematics
1 answer:
Ahat [919]3 years ago
7 0
Categorize each of the following physical
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The Magazine Mass Marketing Company has received 10 entries in its latest sweepstakes. They know that the probability of receivi
Serjik [45]

Answer:

P(X>4)= 0.624

Step-by-step explanation:

Given that

n = 10

p= 0.5 ,q= 1 - p = 0.5

Two fifth of 10 = 2/5 x 10 =4

It means that we have to find probability P(X>4).

P(X>4)= 1 -P(X=0)-P(X=1)-P(X=2)-P(X=3)-P(X=4)

We know that

P(X=x)=(_{x}^{n})\ p^xq^{n-x}

P(X=0)=(_{0}^{10})\ 0.5^0\ 0.5^{10}=0.0009

P(X=1)=(_{1}^{10})\ 0.5^1\ 0.5^{9}=0.0097

P(X=2)=(_{2}^{10})\ 0.5^2\ 0.5^{8}=0.043

P(X=3)=(_{3}^{10})\ 0.5^3\ 0.5^{7}=0.117  

P(X=4)=(_{4}^{10})\ 0.5^3\ 0.5^{7}=0.205

P(X>4)= 1 -P(X=0)-P(X=1)-P(X=2)-P(X=3)-P(X=4)

P(X>4)= 1 -0.0009 - 0.0097 - 0.043 - 0.117-0.205

P(X>4)= 0.624

8 0
3 years ago
Read 2 more answers
The graph below represents which system of inequalities? graph of two infinite lines that intersect at a point. One line is soli
stiks02 [169]
The first line through points (-3, 0) and (-4, -1) is the orange line.

The second line, through (1, 1) and (2, -1) is the purple line.

Since they are both shaded below, the intersection of the shaded regions, is the region colored in blue.

Both lines are included, since they are solid lines.



The equation of the first line can be found as follows:

the slope is \frac{0-(-1)}{-3-(-4)}=\frac{1}{1}=1, thus, the equation is:
y-0=1(x-(-4))\\\\y=x+4


The equation of the second line can be found as follows:

the slope is \frac{1-(-1)}{1-2}= \frac{2}{-1}=-2, 

thus the equation of the second line is :


y-1=-2(x-1)\\\\y-1=-2x+2\\\\y=-2x+3


We have to decide on the direction of the inequality sign, so we pick a point, for example (0, 4) which is not in the colored regions of the lines, 

so we write the inequalities so that they do not hold for (0, 4)


line 1:

y≥x+4

4≥0+4=4 is true, so we change the sign and write : y≤x+4


similarly, line 2:

y≤-2x+3

4≤-2*0+3=3, which is not true, so we have the correct direction.


Note that since the lines were solid, we include the equality case:


Answer: 

the shaded region is the solution to the system of inequalities:

i) y≤x+4
ii) y≤-2x+3

3 0
3 years ago
Read 2 more answers
ALGEBRA
dmitriy555 [2]

Answer:

11,7,5,3

Step-by-step explanation:

thats all thank you

7 0
3 years ago
Lucas bought a package of baseball cards for $0.70. His friend bought 3 times as many packages. How much did his friend spend?
kodGreya [7K]

Answer:  $2.10

Step-by-step explanation:

4 0
2 years ago
Select the option that best describes the relationship
WINSTONCH [101]

Answer:

4th one its negative,linear association

Step-by-step explanation:

6 0
2 years ago
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