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3 years ago

What is the solution to the inequality? X-7>-6

1 answer:

4 0

The equation is saying x minus 7 is greater than -6, so treat the inequality symbol just how you would with a normal =. So x-7=-6, you need to find x, so to find x you need to keep x alone. So you get rid of the -7, so to do that since it is a negative you add 7 to -6, so that would mean that x=1. Now you put the inequality symbol back. So now it's x>1. This is the solution, x is greater than 1, or x>1. Hope this helps

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If f(x) = 2x2 + 1, what is f(x) when x = 3?

ikadub [295]

$f(x)=2x^2+1\\\\\text{substitute the value of x to the equation of the function}\\\\f(3)=2\cdot3^2+1=2\cdot9+1=18+1=19$

8 0

3 years ago

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The Highway Safety Department wants to study the driving habits of individuals. A sample of 40 cars traveling on a particular st

Ipatiy [6.2K]

Answer:

We need a sample size of at least 101

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

What sample size is needed to estimate the true average speed to within 2 mph at 99% confidence?

We need a sample of at least n.

n is found when M = 2. So

$M = z*\frac{\sigma}{\sqrt{n}}$

$2 = 2.575*\frac{7.8}{\sqrt{n}}$

$2\sqrt{n} = 2.575*7.8$

$\sqrt{n} = \frac{2.575*7.8}{2}$

$(\sqrt{n})^{2} = (\frac{2.575*7.8}{2})^{2}$

$n = 100.85$

Rounding up

We need a sample size of at least 101

8 0

3 years ago

Read 2 more answers

Your friend uses the equation c=50p to find the total cost c for the number of people p internal local amusement park create a t

AnnZ [28]

We are given equation c=50p.

c is the total cost and p is the number of people.

Let us take number of people by groups of 10, 20, 30,40 people.

Note: We can take any positive integer for number of people in a group.

Now, we need to plug p=10, 20, 30,40 one by one in given function c=50p to find the costs c.

Plugging p=10, we get

c= 50*10 = 500.

Plugging p=20, we get

c= 50*20 = 1000.

Plugging p=30, we get

c= 50*30 = 1500.

Plugging p=40, we get

c= 50*40 = 2000.

So, we can create a table as.

Number of people (p) Total cost (c)

--------------------------------------------------------------------

10 500

20 1000

30 1500

40 2000

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3 years ago

A snail travels 3 1/3 ft every hour. How far does the snail travel in 2 1/2 hours? Express your answer in simplest form.

irakobra [83]

i am preety sure its d

7 0

3 years ago

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Aleksandra started studying how the number of branches in her tree grows over time. Every 1.5 years, the number of branches incr

vova2212 [387]

Answer:

N = 52 * (9/7)^(t/1.5)

Step-by-step explanation:

This problem can be modelated as an exponencial problem, using the formula:

N = Po * (1+r)^(t/1.5)

Where P is the final value, Po is the inicial value, r is the rate and t is the amount of time.

In our case, we have that N is the final number of branches after t years, Po = 52 branches, r = 2/7 and t is the number of years since the beginning (in the formula we divide by 1.5 because the rate is defined for 1.5 years)

Then, we have that:

N = 52 * (1 + 2/7)^(t/1.5)

N = 52 * (9/7)^(t/1.5)

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3 years ago