Find the arithmetic and the geometric means of 5 and 125

alexdok [17]

Answer:

x < 2.5
x > 2.5

Step-by-step explanation:

One way to do this is to try a number for x and see if it makes the inequality true. A suitable number here is x=0. This value of x is less than 2.5.

For x=0, you have ...

5 > -5 . . . . . true; the solution space is x < 2.5

__

For x=0, you have ...

-25 > -5(2.5)

-25 > -12.5 . . . . . false; the solution space is x > 2.5

_____

<em>Alternate solution</em>

Subtract 5:

-4x > -10

Divide by -4

x < 2.5

__

Divide by -5:

5 < x +2.5

Subtract 2.5

2.5 < x

x > 2.5

6 0

2 years ago

At a bake sale, as student spent $11.00 buying 3 brownies and 5 cookies. His friend spent $3.95 buying 1 brownie and 2 cookies.

riadik2000 [5.3K]

Answer:

$ $$2.25$

Step-by-step explanation:

Let $b =$ the cost of one brownie, $c =$ cost of one cookie

$3b + 5c = 11$

$b+2c = 3.95$

Times $3$ on both sides on the second equation above to get the following:

$3b + 6c = 11.85$

$3b+6c - (3b+5c) = 11.85-11$

$3b+6c-3b-5c = 0.85$

$c = 0.85$

To find the value of $b$ , use substitution:

$b+2c = 3.95$

$b = 3.95-2c$

$= 3.95 - 2\times0.85$

$= 2.25$

$\therefore$ the cost of a brownie is $ $$2.25$

Hope this helps :)

4 0

3 years ago

Which statement is true

loris [4]

Answer:

Step-by-step explanation

You must find the common denominator for all of them.

A is correct. 13 x 2 is 26 and 14 x 2 is 28. Therefore, 13/14 is greater than 25/28.

B is not correct. 4 x 5 is 20 and 9 x 5 is 45. 4/9 is actually less than 21/45.

C is not correct. 5 x 2 is 10 and 6 x 2 is 12. 5/6 is actually less than 11/12.

D is not correct. 4 x 5 is 20 and 5 x 5 is 25. 4/5 is actually less than 8/25.

4 0

3 years ago

The amount of garbage, G produced by a city with population p is given by G = f(p). G is measured in tons per week, and p is mea

barxatty [35]

Alright, so this is simple.

P= 50,000 or 50 thousands

G= 13 Tons

The variable f isn't known.

So your equation would be 13 = 50 (f), if you were to put your known variables in the equation.

If you were to find variable f, you would divide 13 tons by 50,000 to get 0.00026 or in scientific notation: 2.6 x 10 (exponent(s):-4)

5 0

3 years ago

An automobile manufacturer has given its van a 31.3 miles/gallon (MPG) rating. An independent testing firm has been contracted t

Fynjy0 [20]

Answer:

$z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82$

The p value for this case would be given by:

$p_v =2*P(z$

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG

Step-by-step explanation:

Information given

$\bar X=31.1$ represent the sample mean

$\sigma=1.3$ represent the population standard deviation

$n=140$ sample size

$\mu_o =31.3$ represent the value that we want to test

$\alpha=0.02$ represent the significance level for the hypothesis test.

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true mean is equal to 31.3 MPG, the system of hypothesis would be:

Null hypothesis: $\mu =31.3$

Alternative hypothesis: $\mu \neq 31.3$

Since we know the population deviation, the statistic is given by

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

Replacing we got:

$z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82$

The p value for this case would be given by:

$p_v =2*P(z$

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG

4 0

3 years ago