I really need help solving please.

I cant seem to get one of these answers when i work it out. please help

lisov135 [29]

Answer:

first option

Step-by-step explanation:

To obtain ( f ￮ g)(x) substitute x = g(x) into f(x) , that is

f( $\frac{1}{2x}$ )

= $\frac{2}{\frac{1}{2x}+3 }$ ( multiply numerator/ denominator by 2x to clear the fraction

= $\frac{2(2x)}{2x(\frac{1}{2x}+3) }$

= $\frac{4x}{1+6x}$

3 0

3 years ago

A mars rover traveled from point a to point b at a speed of 4 cm/sec. Worsening conditions during the return trip caused the rov

miskamm [114]

Using a system of linear equations, the distance between points A and B is 6000 cm

Initial speed = 4cm/sec

Time taken = Distance / speed

Let ; distance = d

To time :

t = d / 4
4t = d ______(1)

Fro time :

(t + 15 × 60) = d / 2.5

2.5(t + 900) = d

2.5t + 2250 = d ______(2)

Equate (1) and (2)

4t = 2.5t + 2250

4t - 2.5t = 2250

1.5t = 2250

t = 1500 seconds

From (1) :

d = 4t

d = 4(1500)

d = 6000 cm

Therefore, the distance from point A to B is 6000 cm

Learn more : brainly.com/question/14000187

6 0

2 years ago

Read 2 more answers

At a local university, a sample of 49 evening students was selected in order to determine whether the average age of the evening

pav-90 [236]

Answer:

$z=\frac{23-21}{\frac{3.5}{\sqrt{49}}}=4$

$p_v =2*P(z>4)=0.0000633$

When we compare the significance level $\alpha=0.1$ we see that $p_v$ so we can reject the null hypothesis at 10% of significance. So the the true mean is difference from 21 at this significance level.

Step-by-step explanation:

Data given and notation

$\bar X=23$ represent the sample mean

$\sigma=3.5$ represent the population standard deviation

$n=49$ sample size

$\mu_o =21$ represent the value that we want to test

$\alpha=0.1$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the average age of the evening students is significantly different from 21, the system of hypothesis would be:

Null hypothesis: $\mu = 21$

Alternative hypothesis: $\mu \neq 21$

The statistic is given by:

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

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{23-21}{\frac{3.5}{\sqrt{49}}}=4$

P-value

Since is a two sided test the p value would be:

$p_v =2*P(z>4)=0.0000633$

Conclusion

When we compare the significance level $\alpha=0.1$ we see that $p_v$ so we can reject the null hypothesis at 10% of significance. So the the true mean is difference from 21 at this significance level.

8 0

3 years ago

Angle CMW and angle WML together form angle CML. angle CMW is a right angle. describe angle CML

SashulF [63]

CML can be found by adding the measures of CMW and WML.

Hope this helps :)

4 0

3 years ago

Please answer this is so urgent

kolezko [41]

The answer is 4565 / 63

Sorry this might be to late...

8 0

3 years ago