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3 years ago

Can u please solve this question?

Mathematics

1 answer:

Lapatulllka [165]3 years ago

3 0

Answer:

It is TRUE for all Real numbers, i.e. [x] = ]x+1[ for all x∈R.

Step-by-step explanation:

Let's write given statement as [ x ] = ] x+1 [

where [ x ] step function means next integer greater than or equal to x,

and ] y [ means last integer less than or equal to y.

Let's take an example of x = 2.5

So [ 2.5 ] = 3.

and ] 2.5 + 1 [ = ] 3.5 [ = 3.

Similarly, we can take any example of Real numbers like 3.7, 4.2, 5.6, 8.9 etc.

It is TRUE for all Real numbers, i.e. [x] = ]x+1[ for all x∈R.

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Let represent the number of tires with low air pressure on a randomly chosen car. The probability distribution of is as follows.

Sindrei [870]

Answer:

a) $P(X=3) = 0.1$

b) $P(X\geq 3) =1-P(X$

And replacing we got:

$P(X \geq 3) = 1- [0.2+0.3+0.1]= 0.4$

c) $P(X=4) = 0.3$

d) $P(X=0) = 0.2$

e) $E(X) =0*0.2 +1*0.3+2*0.1 +3*0.1 +4*0.3= 2$

f) $E(X^2)= \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) =0^2*0.2 +1^2*0.3+2^2*0.1 +3^2*0.1 +4^2*0.3= 6.4$

And the variance would be:

$Var(X0 =E(X^2)- [E(X)]^2 = 6.4 -(2^2)= 2.4$

And the deviation:

$\sigma =\sqrt{2.4} = 1.549$

Step-by-step explanation:

We have the following distribution

x 0 1 2 3 4

P(x) 0.2 0.3 0.1 0.1 0.3

Part a

For this case:

$P(X=3) = 0.1$

Part b

We want this probability:

$P(X\geq 3) =1-P(X$

And replacing we got:

$P(X \geq 3) = 1- [0.2+0.3+0.1]= 0.4$

Part c

For this case we want this probability:

$P(X=4) = 0.3$

Part d

$P(X=0) = 0.2$

Part e

We can find the mean with this formula:

$E(X)= \sum_{i=1}^n X_i P(X_i)$

And replacing we got:

$E(X) =0*0.2 +1*0.3+2*0.1 +3*0.1 +4*0.3= 2$

Part f

We can find the second moment with this formula

$E(X^2)= \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) =0^2*0.2 +1^2*0.3+2^2*0.1 +3^2*0.1 +4^2*0.3= 6.4$

And the variance would be:

$Var(X0 =E(X^2)- [E(X)]^2 = 6.4 -(2^2)= 2.4$

And the deviation:

$\sigma =\sqrt{2.4} = 1.549$

4 0

4 years ago

Which algebraic expression has like terms? 9 n cubed minus 2 n + 3 minus 4 n squared 7 n cubed + 3 n minus 3 minus 6 n squared 7

Free_Kalibri [48]

Answer:

answer is c

Step-by-step explanation:

correct me if im wrong but it should be

5 0

3 years ago

I need help! Please help! SOS

miss Akunina [59]

Answer:

a) 94 degrees lower

b) -17 degrees

Step-by-step explanation:

you should draw a number line to visualize what i'm saying..

basically any number that has a greater value but is negative is obviously lower than a smaller negative value

for example: take -563 that is a lot less than -31 because its farther down the number line

okay to find the answer to question a) you need to obviously find the difference between -29 and 65 to do that you need to count the space in between -29 and 65 on a number line.

There's actually a much easier method just use your common sense and some math: so you can say the distance from 0 to 65 is … 65 and the distance from -29 to 0 is 29 so to find the total distance you add them up and you get your answer! (94)

for b) its even easier you just take the number -29 and add 12 from it to get closer to 0 so to do that you need to subtract 12 to get a smaller number but bigger value on the number line (if you draw this one out it will make sense). And the answer is... -17! I hope this made sense :)

3 0

3 years ago

PLEASE HELPPP

tensa zangetsu [6.8K]

For this case we have:

We identify the points of the graph following the form (x, y).

Where:

x: Represents the coordinate of the horizontal axis

y: Represents the vertical axis coordinate

In the graph, each box has a value of 2 units.

When observing the points from left to right we find:

$(x1, y1) = (- 4,3.5)\\(x2, y2) = (- 1.5,1.5)\\(x3, y3) = (0,0.5)\\(x4, y4) = (1.5,1.5)\\(x5, y5) = (4,3.5)$

So, the correct option is the b

Answer:

Option B

4 0

3 years ago

Read 2 more answers

• (1,7)

valentinak56 [21]

The answer is A , y= 7x

8 0

3 years ago