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3 years ago

Solve and graph the following inequality: 3(7x+17) > -19 + 14x

Mathematics

1 answer:

love history [14]3 years ago

5 0

Answer:

Solving the inequality we get: $\mathbf{x>-7}$

Step-by-step explanation:

We need to solve and graph the inequality $3(7x+17) > -19 + 14x$

Solving:

$3(7x+17) > -19 + 14x$

Step 1: Multiply 3 with terms inside the bracket

$21x+51 > -19 + 14x$

Step 2:Subtracting 51 on both sides

$21x+51-51 > -19 + 14x-51\\21x>14x-70\\$

Step 3: Subtract 14x on both sides

$21x-14x>+14x-70-14x\\7x>-70$

Step 4: Divide both sides by 7

$\frac{7x}{7}>\frac{-70}{7}\\x>-10$

Solving the inequality we get: $\mathbf{x>-7}$

The graph is attached in the figure below.

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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

Three divided by four

muminat

Answer:

0.75

Step-by-step explanation:

3/4=0.75

Hope this helps! :)

8 0

3 years ago

For the following rectangular prism, find the length of the diagonal connecting A to B. Round to the nearest tenth.

meriva

Answer:

I think it is 192

Step-by-step explanation:

Volume of cube: 5 x 4 x 8 = 160

Area of diagonal: 160/2 = 80

Length of diagonal: 80 / 0.5 x 3 = 480

AB = 480 / 5 x 2 = 192

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2 years ago

Need help on 9 and 10

Wewaii [24]

9.) The relation can not be a function only if the domain is the same. If you plot the points on a graph and use the Vertical Line Test(VLT) you would see that none of the points would be on the same line. It doesn't matter if the range is the same

10.)On the graph your y-intercept would be 2 so that is where you plot your first point. In order to find the slope you need to go up three spaces and one space to the left this is also known as "rise over run". *Remember you always go up spaces for "rise over run" but if the slope is positive then you go to the right and if its negative you go to the left.

I hope this helps love! :)

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3 years ago

How do i add 6.75 & 3.75?

Stella [2.4K]

Answer:

It's like adding whole numbers, but with a dot. add 75+75=150

Because 150 is more than 100, you add the 1 to the whole numbers, the 6 and the 3. Add 3+6+1=10

So your answer is 10.5

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3 years ago