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2 years ago

Given:3^5n=3^5(3^2n)^2 solve for n

Mathematics

1 answer:

katovenus [111]2 years ago

6 0

The correct answer is 5. Take a look at the attachment to see how I got the solution. Hope this helps! :)

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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

3 years ago

What is the intersection of the sets A = {3, 4, 7, 8, 13} and B= {3, 7, 10, 13, 17}

Gelneren [198K]

This intersection means that u have to find the same number in both sets

the answer is 3 , 7 , 13

i am a mathematics teacher. if anything to ask please pm me

8 0

3 years ago

Read 2 more answers

Plot the zeros of this function:<br><br> f(x) = (x – 1)(x – 7).

vredina [299]

Answer:

$\boxed{\mathrm{view \: attachment}}$

Step-by-step explanation:

The zeros of a function is where the function crosses the x-axis. The x-intercepts are the zeros of a function.

$f(x) = (x - 1)(x - 7)$

Let output equal to 0.

$0 = (x - 1)(x - 7)$

Set factors equal to 0.

$x-1=0\\x=1$

$x-7=0\\x=7$

The zeros of the function are $x=1$ and $x=7$ .

5 0

3 years ago

Write a slope-intercept equation for a line that passes through (-2,1) and (3,-14).

lesya [120]

The equation of the line that passes through (1, 5) and (-2, 14) in slope intercept form is y = -3x + 8.

5 0

1 year ago

9*10^7 is how many times as large as 3*10^3 Please help

sesenic [268]

Answer:

30000 times larger.

Step-by-step explanation:

10^7 * 9/10^3*3

Law of exponents cancel some of the tens.

10^4 * 9/3

Cancel out the three.

10^4 *3

Compute

30000 times larger.

4 0

3 years ago