Which is a factor of the polynomial f(x) = 6x4 – 21x3 – 4x2 + 24x – 35?

Answer: 19.20

Step-by-step explanation: What I did was figure out what 10% of 12 was (1.2) then multiplied it by 6 which was 7.2. Then I added that to 12 and got 19.2.

Let me know if this was helpful! :D

Answer:

19.20

Step-by-step explanation:

I just did this and payed attention during the lesson.

Answer:

a

The  determination is  

    There is sufficient to conclude that proportion of the single policy

b

  The 95% confidence interval is  [tex] 0.0498    < p_1 - p_2 < 0.1302 [/tex]  

holders is difference from the proportion of married policy holders

Step-by-step explanation:

From the question we are told that

The sample size for single policy holders is [tex]n_1 = 500[/tex]

The number of single police holders making claim is k = 95

The sample size for married policy holders [tex]n_2 = 800[/tex]

The number of double police holders making claim is u = 80

The level of significance is [tex]\alpha = 0.05[/tex]

Generally the critical value of [tex]\frac{\alpha }{2}[/tex] obtained from the

normal distribution table is

[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]

The null hypothesis is [tex]H_o : p_1 = p_2[/tex]

The alternative hypothesis is [tex]H_a : p_1 \ne p_2[/tex]

The sample proportion of single police holders making claim is

[tex]\r p_ 1 = \frac{k}{n_1}[/tex]

=> [tex]\r p_ 1 = \frac{95}{500}[/tex]

=> [tex]\r p_ 1 = 0.19[/tex]

The sample proportion of married police holders making claim is

[tex]\r p_ 2 = \frac{u}{n_2}[/tex]

=> [tex]\r p_ 2 = \frac{80}{800}[/tex]

=> [tex]\r p_ 2 = 0.1[/tex]

Generally the pooled sample proportion is mathematically represented as

[tex]\r p = \frac{k + u}{n_1 + n_2}[/tex]

=> [tex]\r p = \frac{95 + 80}{500 + 800}[/tex]

=> [tex]\r p = 0.1346 [/tex]

Generally the test statistics is mathematically represented as

[tex]z = \frac{\r p_1 - \r p_2 }{ \sqrt{ \r p (1 - \r p )* [\frac{1}{n_1} + \frac{1}{n_2} ]} }[/tex]

=> [tex]z = \frac{0.19 - 0.1 }{ \sqrt{0.1346 (1 - 0.1346 )* [\frac{1}{500} + \frac{1}{800} ]} }[/tex]

=>[tex]z = 4.6256 [/tex]

Generally the p-value is mathematically represented as

[tex]p-value = 2* P(Z >4.6256 )[/tex]

From the z table [tex]P(Z >4.6256 ) = 0 [/tex]

[tex]p-value = 2* 0 = 0[/tex]

From the calculation we see that the p-value < [tex]\alpha[/tex] so the null hypothesis is rejected

Hence there is sufficient to conclude that proportion of the single policy holders is difference from the proportion of married policy holders

Generally the standard error is mathematically represented as

[tex]SE = \sqrt{ \frac{\r p_1 (1 -\r p_1)}{n_1} + \frac{\r p_2 (1 -\r p_2)}{n_2} }[/tex]

=> [tex]SE = \sqrt{ \frac{0.19 (1 -0.19)}{500} + \frac{ 0.1 (1 - 0.1)}{800} }[/tex]

=> [tex]SE =0.0205012[/tex]

Generally the margin of error is mathematically represented as

[tex]E = Z_{\frac{\alpha }{2} } * SE[/tex]

=> [tex]E = 1.96 *0.0205012 [/tex]

=> [tex]E = 0.0402035[/tex]

Generally the 95% confidence level is mathematically represented as

[tex]\r p_1 - \r p_2 - E < p_1 - p_2 < \r p_1 - \r p_2 + E[/tex]

=> [tex]0.19  - 0.10 -0.0402035    < p_1 - p_2 < 0.19  - 0.10 + 0.0402035  [/tex]

=>  [tex]0.09 -0.0402035    < p_1 - p_2 < 0.09 + 0.0402035  [/tex]

=> [tex] 0.0498 < p_1 - p_2 < 0.1302 [/tex]

Answer:

C

Step-by-step explanation:

A, B, and D equal -4, while C equals 4.

A positive number times/divided by a negative number (or vice versa) is a negative number.  A negative number times/divided by a negative number (or vice versa) is a positive number.

Answer:

34p -8

Step-by-step explanation:

6 (4p- 2) + 2 (5p + 2)

24p - 12 + 2 (5p +2)

24p - 12 + 10p + 4

34p -8

Step-by-step explanation:

y-1=-4/7*(x-(-4))

7(y-1)=-4(x+4)

7y-7=-4x-16

7y+4x=-16+7=-9

so is the first one

Answer:

7y+4x=-9

Step-by-step explanation:

y=-4/7 x +b

1=-4/7 (-4)+b

b=1-16/7

b=7-16/7

b=-9/7

7y=-4x-9

7y+4x=-9

Answer:

C. f(x) = x - 7 all over 4

Step-by-step explanation:

NB: Let f(x) = y

Exchange X and Y

Make y the subject

f(x) = 4x + 7

y = 4x + 7

x = 4y + 7

x - 7 = 4y

x - 7 all over 4 = 4 ÷ 4

y = x - 7 all over 4

Answer:

Step-by-step explanation:

Given that:

The numbers of the possible public swimming pools are 5

From past results, we have 0.007 probability of finding bacteria in a public swimming area.

In the public swimming pool, the probability of not finding bacteria = 1 - 0.007

= 0.993

Thus;

Probability of combined   =  Probability that at least one public

sample with bacteria           swimming area have bacteria

Probability of combined sample with bacteria  = 1 - P(none out of 5 has          

                                                                                bacteria)

Probability of combined sample with bacteria = 1 - (0.993)⁵        

= 1 - 0.9655

= 0.0345

Thus, the probability that the combined sample from five public swimming areas will show the presence of bacteria is 0.0345

From above, the probability that the combined sample shows the presence of bacteria is 0.0345 which is lesser than 0.05.

Thus, we can conclude that;  Yes, the probability is low enough that there is a need for further testing.

Answer:

x > 2

Step-by-step explanation:

Pull out like factors :

  -3x + 6  =   -3 • (x - 2)

Divide both sides by  -3

Remember to flip the inequality sign:

Solve Basic Inequality :

Add  2  to both sides

          x > 2

Answer:

Step-by-step explanation:

-3x + 31 < 25

subtract -31 from both sides:

-3x + 31 - 31 < 25 - 31

simplify:

-3x < -6

reverser the inequality:

3x > 6    divide 3 on both sides

x > 2

Answer:6 x 4 = 24

Step-by-step explanation:

im not sure what was so hard

Answer:

4x6=24 its just you multiply the two smallest numbers

Answer:

80 - 12 - 5f

Step-by-step explanation:

You have a total of eighty seeds in all.

Minus the twelve seeds Demi planted.

The number of friends she gave seeds to is unclear.

To find out how many seeds she gave you'd have to

multiply five by the number of friends.

It's is all being subtracted from the total.

Hope this helps. ;)

Answer:

-1

Step-by-step explanation:

Has to be the opposite

Answer:

1.60x=32.00

Step-by-step explanation:

Since you do not how much gallons of gas he bought you would use the variable x.

Answer:

1.60x=32

Step-by-step explanation:

Answer:

564 Boxes Of Cereal

Step-by-step explanation:

You take 47 (# of crates), and 12 (# of items in a dozen) and multiply them.. to get 564

Answer:

13 ml per hr

Step-by-step explanation:

1/5mi=1/65hr

65/5mi=hr

13mi hr

The bicyclist rides 13 miles per hour

I HOPE THIS WORKS FOR YOU!

Answer:

(1/13)(mile/hour)

Step-by-step explanation:

Simplify this rate of change:

 ⅕ mile               1 mile

----------------  =  --------------- = (1/13)(mile/hour)

(1/65) hour         (65/5) hr

Answer:  12

Step-by-step explanation:

you can check this by doing this 12 x 2 = 24 + 3 = 27

Answer: (0,1)

Step-by-step explanation:

Hope this helps

Answer: 18

Step-by-step explanation:

when there is a in front of an expression in parentheses change the sign of each term in the expression. 9+9=18 so ANSWER 18

Step-by-step explanation:

3 tickets = $16.50

1 tickets = $16.50/3

= $5.5

2 tickets = $2×5.5

= $11.00

Answer:

-3.7

Step-by-step explanation:

-3.2 + 1.5 -2 = -3.7

Answer:

-5/2

Step-by-step explanation:

-6+11/2+(-2)

-12+11+(-4)/2

-5/2

Answer:

WHat is it :(

Step-by-step explanation:

Answer:

Easy Question: I/pt=r

Step-by-step explanation:

You take the equation i=prt and you solve it out.

You divide the half "prt" by pt like this: prt/pt

You also do that to the other side "I"

You are left with I/pt=r and there it is!!

Answer:

B

Step-by-step explanation:

We know that the blue triangle is the image as it has the ' on the letters. For example G'.

To first start off, you can look at any points to help solve this problem. I used the point H to help me solve this

Since we know that the black triangle is our old image we know the distance in x values between the black triangle to the blue is -2 as it moves to the left 2 times. (Note: it's going more into the negatives, if it were going to the right it would be positive)

Now we do the same to find our y values, and we see that y value for h on the black triangle goes up +1.

Now we know that the X goes to the left two times to get -2 and that the Y goes up once to get +1.

Hope this helps! :)

Answer:

b. (x - 2, y + 1)

Step-by-step explanation:

You can make that determination visually. However, if you need numbers...

Pick a point on the black triangle, let's say F(0, 0) and the corresponding point on the blue tirangle F(-2, 1)

(y₁ + y₂) / (x₁ + x₂) = (0 + 1) / (0 + (-2)) = 1 / -2

[tex]\frac{rise}{run}[/tex] = [tex]-\frac{1}{2}[/tex]  

So, from the F(0,0) position move -2 to the left then up 1 to land on F(-2, 1).

This translated to (x - 2, y + 1)

Answer:

percentage formula

Step-by-step explanation:

if it is 68% on 97.65 dollar the 97.68x 68%/100

If it's a rectangle:

perimeter = 2F+10g

Area=g(4F+4g)

Step-by-step explanation:

Perimeter = 2×(l+b)

Area= l×b

Answer:

1.Random circumstance: Color of traffic light when Robin approaches the main intersection. Possible outcomes: Traffic light is green when Robin arrives, or Traffic light is not green when Robin arrives.

2.Random circumstance: Song on the radio when first turned on. Possible outcomes: Robin's favorite song is playing, or Robin's favorite song is not playing.

4.Random circumstance: Nearest available parking space. Possible outcomes: Robin finds an empty parking space in front of the building, or Robin does not find an empty parking space in front of the building.

Step-by-step explanation:

A random circumstance is one whose outcome cannot be predicted because we either do not have the full details of the matter or it has not been confirmed yet by a reliable source. In the short description of events provided above;

1.The color of the traffic light is unpredictable because it is not under the control of the drivers but is automated.

2. Robin's favorite song playing on the radio is a random circumstance because she has no control over what song is played. So, she might as well have tuned in and it would be her least favorite song playing.

3. Robin driving into the office and finding the parking space empty is a random circumstance because it is not predictable. She might have come in and found the entire space filled.