4.0 divided by 0.02=

What is the recursive formula for the sequence defined by the explicit equation an = -6 + 3n?

Ierofanga [76]

Answer:

an=an-1

Step-by-step explanation:

as it doesnt have -6 +3n

5 0

2 years ago

Find the appropriate rejection regions for the large-sample test statistic z in these cases. (Round your answers to two decimal

Usimov [2.4K]

Answer:

a) We have that the significance is given by $\alpha =0.01$ and we know that we have a right tailed test.

So for this case we need to look in the normal standard dsitribution a critical value that accumulates 1% of the area on the right and 99% of the area on the left. This value can be founded with the following excel code:

"=NORM.INV(1-0.01,0,1)"

And we got for this case $z_{crit}=2.33$

So then the rejection region would be $z>2.33$

b) We have that the significance is given by $\alpha =0.05$ , $\alpha/2 =0.025$ and we know that we have a two tailed test.

So for this case we need to look in the normal standard dsitribution a critical value that accumulates 2.5% of the area on the right and 97.5% of the area on the left. This value can be founded with the following excel code:

"=NORM.INV(1-0.025,0,1)"

And we got for this case $z_{crit}=\pm 1.96$

So then the rejection region would be $z>1.96 \cup z$

Step-by-step explanation:

Part a

We have that the significance is given by $\alpha =0.01$ and we know that we have a right tailed test.

So for this case we need to look in the normal standard dsitribution a critical value that accumulates 1% of the area on the right and 99% of the area on the left. This value can be founded with the following excel code:

"=NORM.INV(1-0.01,0,1)"

And we got for this case $z_{crit}=2.33$

So then the rejection region would be $z>2.33$

Part b

We have that the significance is given by $\alpha =0.05$ , $\alpha/2 =0.025$ and we know that we have a two tailed test.

So for this case we need to look in the normal standard dsitribution a critical value that accumulates 2.5% of the area on the right and 97.5% of the area on the left. This value can be founded with the following excel code:

"=NORM.INV(1-0.025,0,1)"

And we got for this case $z_{crit}=\pm 1.96$

So then the rejection region would be $z>1.96 \cup z$

7 0

3 years ago

Suppose that the function

Dafna11 [192]

Answer:

(f-g)(x)= -3x^3 + x^2 + 6x

(f+g)(×)= 3x^3 + x^2 + 6x

(f•g)(2)= 6x^3 + 36x^3

Step-by-step explanation:

I hope that helps

5 0

3 years ago

3.6.PS-8 If the simple interest on $5,000 for 9 years is $2,700, then what is the interest rate? The rate is %. .

Arada [10]

$~~~~~~ \textit{Simple Interest Earned}\\\\I = Prt\qquad\begin{cases}I=\textit{interest earned}\dotfill &\$2700\\P=\textit{original amount deposited}\dotfill & \$5000\\r=rate\to r\%\to \frac{r}{100}\dotfill &0.0r\\t=years\dotfill &9\end{cases}\\\\\\2700=(5000)(0.0r)(9)\implies 2700=45000(0.0r)\implies \cfrac{2700}{45000}=0.0r\\\\\\\cfrac{3}{50} = 0.0r\implies \cfrac{3}{50} = \cfrac{r}{100}\implies \cfrac{3\cdot 100}{50}=r\implies 6 = \stackrel{\%}{r}$

5 0

3 years ago

Consider the equation 1/3x−2=x+2. Write a system of linear equations using each side of the equation. Then solve the original eq

Ierofanga [76]

Answer:

(-6,4)

Step-by-step explanation:

1/3x − 2 = x + 2 is obtained by equating the following two functions:

y = (⅓)x - 2

y = x + 2

Graph:

Draw two straight lines

1) joining (0,-2) and (6,0)

2) joining (0,2) and (-2,0)

On the graph, you'll see that the above two lines intersect at: (-6,4)

Hence the solution is (-6,4)

5 0

3 years ago