What are the two solutions of 2x2 = –x2 – 5x

The manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean s

Tcecarenko [31]

Answer:

The most appropriate null hypothesis for this situation is

$H_0$ : The mean sales volume is equal to 24.

the most appropriate alternative hypothesis for this situation is

$H_a$ : The mean sales volume is greater than 24.

Step-by-step explanation:

The null hypothesis $H_0$ is the fact that is established and consider as true fact.

Since the established mean sales volume is 24 automobiles per month this should be considered as the null hypothesis.

So, the most appropriate null hypothesis for this situation is

$H_0$ : The mean sales volume is equal to 24

The alternative hypothesis is a fact that intends to reject or refute the null by collecting data that could contradict it.

In this case, since the manager wants to conduct a research study to see whether the new bonus plan increases sales volume, he wants to see if the data collected after the new bonus plan can show that the new average is greater than the established one.

So, the most appropriate alternative hypothesis for this situation is

$H_a$ : The mean sales volume is greater than 24.

To try and prove that $H_a$ shows enough evidence as to assure the new plan actually increases sales volume, he must fix a significance level $\alpha$ , for example 0.1 or 0.05, which gives the probability that $H_a$ is not wrong in case that it rejects $H_0$ .

This confidence level defines an $\alpha$ -score $z_\alpha$ which is a point such that the area under the normal curve N(0;1) to the right of $z_\alpha$ is less than $\alpha$ .

In this case we considered the right side because you want to see the new average is greater than the established one.

If the z-score obtained through the sample is greater than $z_\alpha$ then you can say the new bonus actually increases sales.

If the z-score obtained through the sample is less than or equals to $z_\alpha$ then you do not have enough evidence showing that the new bonus actually increases sales.

6 0

3 years ago

Which is an equation of the line that passes through the points (-1,9) and (4, 24)?

choli [55]

Answer:

y = 3x + 12

Step-by-step explanation:

Slope (m) = 24-9/4-(-1)

= 25/5

= 3

Using point (-1 , 9)

y - y1 = m (x - x1)

y - 9 = 3 (x - -1)

y - 9 = 3 (x + 1)

y - 9 = 3x + 3

y = 3x + 3 + 9

y = 3x + 12

4 0

3 years ago

Find the values of y = c(x) = for x = 0, 0.008, 0.027, 0.064, 0.125, 0.216, 0.343, 0.512, , 0.729, and 1.

kondaur [170]

c(x) is a function, then we will solve the problem for two different functions.

1. If $c(x)=\frac{x}{0.5}+x$

Then

$y=c(x)$

$y=\frac{x}{0.5}+x$

Using each of the values for x we have.

When x=0 the result is: $y=\frac{0}{0.5}+0=0$

When x=0.008 the result is: $y=\frac{0.008}{0.5}+0.008=0.016+0.008=0.024$

When x=0.027 the result is: $y=\frac{0.027}{0.5}+0.027=0.054+0.027=0.081$

When x=0.064 the result is: $y=\frac{0.064}{0.5}+0.064=0.128+0.064=0.192$

When x=0.125 the result is: $y=\frac{0.125}{0.5}+0.125=0.25+0.125=0.375$

When x=0.216 the result is: $y=\frac{0.216}{0.5}+0.216=0.432+0.216=0.648$

When x=0.343 the result is: $y=\frac{0.343}{0.5}+0.343=0.686+0.343=1.029$

When x=0.512 the result is: $y=\frac{0.512}{0.5}+0.512=1.024+0.512=1.536$

When x=0.729 the result is: $y=\frac{0.729}{0.5}+0.729=1.458+0.729=2.187$

When x=1 the result is: $y=\frac{1}{0.5}+1=2+1=3$

2. If $c(x)=sin(x)+2x$

Then

$y=c(x)$

$y=sin(x)+2x$

Using each of the values for x we have.

When x=0 the result is: $y=sin(0)+2(0)=0$

When x=0.008 the result is: $y=sin(0.008)+2(0.008)=0.000139+0.016=0.016139$

When x=0.027 the result is: $y=sin(0.027)+2(0.027)=0.000471+0.054=0.054471$

When x=0.064 the result is: $y=sin(0.064)+2(0.064)=0.001117+0.128=0.129117$

When x=0.125 the result is: $y=sin(0.125)+2(0.125)=0.002182+0.25=0.252182$

When x=0.216 the result is: $y=sin(0.216)+2(0.216)=0.003769+0.432=0.435769$

When x=0.343 the result is: $y=sin(0.343)+2(0.343)=0.005986+0.686=0.691986$

When x=0.512 the result is: $y=sin(0.512)+2(0.512)=0.008936+1.024=1.032936$

When x=0.729 the result is: $y=sin(0.729)+2(0.729)=0.012723+1.458=1.470723$

When x=1 the result is: $y=sin(1)+2(1)=0.017452+2=2.017452$

7 0

3 years ago

Find the mode of the following numbers:

LiRa [457]

Answer:

3

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Which one is bigger 6000 grams or 5000 kg

shusha [124]

Answer:

$5000kg \: is \: greater.$

$as \: we \: know \: that \: 1000 \: gramm \: make \: 1 \: kg$

$so \: 6000 \: g \: make \: 6 \: kg.$

$and \: 5000 \: kg \: is \: much \: greater \: than \: 6 \: kg.$

8 0

3 years ago

What are the two solutions of 2x2 = –x2 – 5x – 1?