Use long division to find the quotient below.
(16x3 + 40x2 + 72) - (2x+6)
A. 8x2 + 3x + 12
O B. 8x2 - 4x + 12
C. 8x2 + 5x + 12
D. 8x2 - 6x + 12

Answer:

D. 2x, -4y and 8 :)

Step-by-step explanation:

Answer:

44 ft/hr

Step-by-step explanation:

First, we convert miles to feet.

6 mi*5280 = 31680 feet

Now we convert a month to hours. For this question, lets say that a month is equal to 30 days.

30*24 hrs = 720 hrs

Now we have this speed -

31680 ft/720 hrs

Now we simplify this to -

44 ft/hr

So in conclusion, the speed of 6 miles per month is equivalent to the speed of 44 feet per hour.

Answer:

X= -2

Step-by-step explanation:

Answer:

The food preferences among vole species are independent of one another.

Step-by-step explanation:

The hypothesis can be defined as follows:

H₀: The food preferences among vole species are independent of one another.

Hₐ: There is a relationship between voles and food preference.

The data provided is:

                                           meadow voles            common voles

                 apple slices                15                                   21

peanut butter-oatmeal               25                                    16

A Chi-square test for the Goodness of fit will be used.

The expected values are computed using the formula:

[tex]E_{i}=\frac{\text{ith Row Total}\times \text{jth Column Total}}{N}[/tex]

Consider the Excel sheet attached.

The Chi-square statistic value is 2.861.

Compute the degrees of freedom as follows:

df = (r - 1)(c - 1)

   = (2 - 1)(2 - 1)

   = 1

Compute the p-value as follows:

[tex]p-value=P(\chi^{2}_{(1)}>2.861)=\text{CHISQ.DIST.RT(2.861,1)}=0.091[/tex]

The p-value = 0.091 > α = 0.05

The null hypothesis will not be rejected.

Thus, it can be concluded that the food preferences among vole species are independent of one another.

Answer:

Well, due to the 6% add on, you could go up to 85,400 within the first year, however I am not quite sure for the 401k. Have a good day!

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

By solving (x+6)(x-9), we get x^2 - 3x - 54. By looking at our y-intercept, we can see that only option A has the correct intercept.

Answer:

A

Step-by-step explanation:

Answer:

10 and ten-elevenths

Step-by-step explanation:

x = 2 + _/3

(x-1/x)^3

(2+_/3)^3 - (1÷2+_/3)^3

= (8 + 3) - 1 ÷ (8 + 3)

= 11 - 1/11

= 10 10/11

Answer:

7.98x10^3

Step-by-step explanation:

10^3=1000

Answer:7.980 × 10^3

Step-by-step explanation:

Answer: a_1 = 15

a_4 = 36

a_n = a_1 + (n - 1)d

36 = 15 + (4 - 1)d

21 = 3d

7 = d

15, 22, 29, 36

Answer:

5

Step-by-step explanation:

265/53= 5

Answer:

265÷53=5

Step-by-step explanation:

just get a calculator

Answer:

28

Step-by-step explanation:

35/5 ÷ -3/4

=7÷ (-3/4)

=7× (4/-3)

=(7×4)/-3

=- 28/3

the minus is already placed in the question, that makes the answer 28 without the minus

Answer: A B F

Step-by-step explanation:

Answer:

dud

Step-by-step explanation:

fjfn

kgoipyx

vbjjkkkkkkjjjjhcblxkcjl

Answer:

715

Step-by-step explanation:

[4(17) + 3(25)] x 5

(68+3*25)*5

(68+75)*5

143*5

175

Answer:

subtract -4-6/5-5

Step-by-step explanation:

Answer is no solution

Answer:

Step-by-step explanation:

Answer:

Jiao sent out 18,920 beads.

Step-by-step explanation:

All I did was add.

</3 hope this helps.

Answer:

A

Hope this helped ;)

Answer:

my GUESS would be A

Step-by-step explanation:

because 2+4=6

but also kinda slow soo.....

Answer:was it 3?

Step-by-step explanation:

thats wat i got not sure tho

Answer:

Step-by-step a) Simplify the expression and explain each step.

4(3x + 2) - 2

b) Factor the expression completely.

20b - 16

Step-by-step explanation:

Alternate interior angles :- 1 , 4

corresponding angles :- 3

same side interior angles :- 2 , 5 , 6

Answer:

M=4

Step-by-step explanation:

I hope this helps!

Answer:

4= 7 as the answer

5= 12/52

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

(0,-3)

-3 x axis form a vertical line

Answer:

c. x=7

Step-by-step explanation:

Answer:

24x-5

Step-by-step explanation:

x= number of batches

24x -5

Answer:\

a

The null hypothesis is  [tex]H_o : \mu_1 - \mu_2 \le 0[/tex]

The alternative hypothesis is  [tex]H_a :  \mu_1 - \mu_2 > 0[/tex]

b

[tex]t  = -0.39[/tex]

c

The conclusion

There is sufficient evidence to conclude that the female outscores the male.

Step-by-step explanation:

From the question we are told that

  The  sample size for male  is  [tex]n_1  =  30[/tex]

    The sample size for female is  [tex]n_2  =  30[/tex]

 The level of significance is  [tex]\alpha = 0.01[/tex]

The null hypothesis is  [tex]H_o : \mu_1 - \mu_2 \le 0[/tex]

The alternative hypothesis is  [tex]H_a :  \mu_1 - \mu_2 > 0[/tex]

Generally the sample mean for male is  

     [tex]\= x_1  =  \frac{\sum x_i}{n_1}[/tex]

=>   [tex]\= x_1  =  \frac{620 + 570 +540 + \cdots + 580  }{30}[/tex]

=>   [tex]\= x_1  =  574.33 [/tex]  

Generally the standard deviation of  male is  

     [tex]s_1 = \sqrt{\frac{\sum (x_1 - \= x)^2}{n_1} }[/tex]

=>  [tex]s_1 = \sqrt{\frac{ (620 - 574.33)^2 + (570 - 574.33)^2 +  (540 - 574.33)^2 + \cdots +(580 - 574.33)^2  }{30} }[/tex]

=>  [tex]s_1 =206.24 [/tex]

Generally the sample mean for female is  

     [tex]\= x_2  =  \frac{\sum x_i}{n_2}[/tex]

=>   [tex]\= x_2  =  \frac{660 + 590 +560 + \cdots + 560  }{30}[/tex]

=>   [tex]\= x_2  =  593.33 [/tex]      

Generally the standard deviation of  male is  

 [tex]s_2 = \sqrt{\frac{\sum (x_1 - \= x)^2}{n_2} }[/tex]

=>  [tex]\sigma_1 = \sqrt{\frac{ (660 - 593.33)^2 + (590 - 593.33)^2 +  (560 - 593.33 )^2 + \cdots +(560 - 593.33)^2  }{30} }[/tex]

=>  [tex]s_2 =169.31 [/tex]

Generally the degree of freedom for unequal  variance is mathematically represented as  

[tex]df  =  \frac{[\frac{s_1^2}{n_1}  +\frac{s_2^2}{n_2}   ]^2}{ \frac{[\frac{s_1^2}{n_1}]^2}{n_1 -1}  +\frac{[\frac{s_2^2}{n_2}]^2}{n_2 -1}  }[/tex]

=> [tex]df  =  \frac{[\frac{206.24^2}{30}  +\frac{169.31^2}{30}   ]^2}{ \frac{\frac{206.24^2}{30}}{30 -1}  +\frac{\frac{169.31^2}{30}}{30 -1}  }[/tex]

=>[tex]df  = 56[/tex]

Generally the test statistics is mathematically represented as

  [tex]t  = \frac{\= x _1- \= x_2 }{\sqrt{\frac{s_1^2}{n_1}  + \frac{s_2^2}{n_2}} }[/tex]

=> [tex]t  = \frac{574.33- 593.33 }{\sqrt{\frac{206.24^2}{30}  + \frac{169.31^2}{30}} }[/tex]

=> [tex]t  = -0.39[/tex]

From the t distribution table the value of  [tex]P(t < -0.39)[/tex] at a degree of freedom of  [tex]df  = 56[/tex] is  

   [tex]P(t <  -0.39) = 0.3490080[/tex]

Hence the p-value  is   [tex]p-value =  0.3490080[/tex]

From the values obtained we see that the p-value  is  >[tex]\alpha[/tex]

Hence we fail to reject the null hypothesis.

The conclusion is  

  There is sufficient evidence to conclude that the female outscores the male