We want to find the zeros of this polynomial:
p(x) = 2x^3 – x^2 - 8x + 4
Plot all the zeros (z-intercepts) of the polynomial in the interactive graph.

Answer:

the answer is x=1

Step-by-step explanation:

minus 19 on both sides

then divide by 13 on both sides

Answer:

C. 56

Step-by-step explanation:

7*8=56

Answer:

C=45

if 9/11 = c/55 you have to divide the c/55 by 9/11, resulting in c/9 = 5

multiply 9 by 5 to get 45

Step-by-step explanation:

Answer:

your answer should be -2/3

height of movable brigde 37cm

width of movable brigde 85 cm

Answer:

C. Many ang sagot............

Answer:

Step-by-step explanation:

1. Rotate the triangle 90º counterclockwise about the origin and then translate it 10 units left and 9 units down.

2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.

3. Rotate the triangle 90º counterclockwise about the origin then translate it 1 unit up.

4. Rotate the triangle 90º clockwise about the origin then translate it 1 unit up.

Answer: 114 homeruns on mars

Step-by-step explanation: 76 homeruns x 0.5 = 38

76+38 = 114

Answer:

120%. doesn't make sense because there's nothing above 100%

Answer:

b = 3.5 cm

Step-by-step explanation:

Given that,

The area of a rectangle, A = 14. sq cm

The length of one side, l = 4 cm

We need to find the length of another side. The formula for the area of a rectangle is given by :

A = lb

So,

[tex]14=4b\\\\b=\dfrac{14}{4}\\\\b=3.5\ cm[/tex]

So, the length of the other side is equal to 3.5 cm.

Answer: Hope this helps

Step-by-step explanation:

Let ss be the number of guests that a small tier can serve and mm be the number of guests a medium tier can serve.

The first cake has 3 small tiers, which will serve 3s3s people, and one medium tier, which will serve mm people. The first cake can then serve 3s+m3s+m people. Since the first cake will serve 100 guests, then 3s+m=1003s+m=100.

The second cake has 3 small tiers, which will serve 3s3s people, and 2 medium tiers, which will serve 2m2m people. The second cake can then serve 3s+2m3s+2m people. Since the second cake will serve 140 guests, then 3s+2m=1403s+2m=140.

The system of equations is then { 3s+m=100 3s+2m=140  

{

3s+m=100

3s+2m=140

​

​

Part B:

The mm-terms have the same coefficients so subtract the first equation from the second equation to eliminate ss and solve for mm:

3s+2m amp;= amp;140 −(3s+m amp;= amp;100)       m amp;= amp;40

3s+2m

−(3s+m

m

​

amp;=

amp;=

amp;=

​

amp;140

amp;100)

amp;40

​

​

Substitute m=40m=40 into either equation and solve for ss:

3s+m amp;=100 3s+40 amp;=100 3s amp;=60 s amp;=20

3s+m

3s+40

3s

s

​

amp;=100

amp;=100

amp;=60

amp;=20

​

The solution of the system is then (s,m)=(20,40)

(s,m)=(20,40)

​

.

Part C:

Since the solution of the system was s=20s=20 and m=40m=40, then a small tier feeds 20 people and a medium teir serves 40 people.

Answer:

10

Step-by-step explanation:

Can't do that. I have to write some sort of explanation or the mods have a fit.

Side opposite = 5 √3

Sin(60) = √3 /2

Hypotenuse = x

Sin(60) = √3/2 = 5√3 / x

√3/2 = 5√3 / x                  Multiply both sides by x

x √3/2 = 5√3                    Divide both sides by √3

x/2 = 5

x = 10

The hypotenuse is 10 units long.

Answer:

this is your answer as it lies in a same ratio..

Answer:

2x + 6

Step-by-step explanation:

you have to factorize the above equation first and you'll get the answer

Answer:

B. h=8

Step-by-step explanation:

The answer is B. h=8. I know because I solved to get h by itself. First, I set up the problem.

7.2h=57.6

Then, I divided each side by 7.2, so I could get h by itself.

h=8

You can check to make sure this is correct by plugging in the value we got for h into the equation.

7.2(8)=57.6

In conclusion, the answer is B. h=8

Answer:

Sue has traveled 124 miles.

Step-by-step explanation:

Here, the distance covered by Sue is a fraction of the total distance to be covered.

The total distance to her aunt's = 372 miles

but the gas station is at one-third of the distance to be covered.

Thus,

Miles traveled by Sue = [tex]\frac{1}{3}[/tex] x 372

                                    = 124

Miles traveled by Sue = 124 miles.

Therefore Sue has traveled 124 miles.

Answer:

18.457

Step-by-step explanation:

Answer:

Step-by-step explanation:

x is the independent variable. y is the dependent variable.

Dependent variables take their values based on values of independent variables. In the considered case, we have:

Even though everything can be almost always related to its reason, when we talk about two related things, there might happen that one of those things is dependent on other.

If a variable is taking its values independently of any visible direct cause,  then that variable is called independent variable.

The variables who take their values based on some other variables' values are called dependent variables.

For the considered case, the two variables in consideration are:

Time doesn't depend on number of stitches. Its thus, measuring an independent quantity.

The total number of stitches depends on how much time it passed since sewing. So the quantity 'y' depends on the value of 'x'

Thus, variable 'y' is dependent variable.

Therefore, in the considered case, we have:

Learn more about dependent and independent quantities here:

https://brainly.com/question/19622665

Answer:

The pvalue of the test is 0.017 > 0.01, which means that there is not convincing evidence that the mean time behind the whell for all U.S drivers is less than 51 minutes.

Step-by-step explanation:

U.S. drivers spend on average, 51 minutes behind the wheel each day.

This means that at the null hypothesis we test that:

[tex]H_{0}: \mu = 51[/tex]

Is there convincing evidence that the mean time behind the wheel for all U.S. drivers is less than 51 minutes?

This means that the alternate hypothesis is:

[tex]H_{a}: \mu < 51[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

51 is tested at the null hypothesis:

This means that [tex]\mu = 51[/tex]

The study revealed that the mean time behind the wheel for the sample of 75 drivers was 46.4 minutes with a standard deviation of 18.8 minutes.

This means that [tex]n = 75, X = 46.4, \sigma = 18.8[/tex]

Value of the test-statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{46.4 - 51}{\frac{18.8}{\sqrt{75}}}[/tex]

[tex]z = -2.12[/tex]

Pvalue of the test:

The pvalue of the test is the probability of finding a sample mean less than 46.4, which is the pvalue of z when X = 46.4.

Looking at the z-table, z = -2.12 has a pvalue of 0.017.

Decision:

The pvalue of the test is 0.017 > 0.01, which means that there is not convincing evidence that the mean time behind the whell for all U.S drivers is less than 51 minutes.

No, there isn't convincing evidence that the mean time behind the wheel for all U.S. drivers is less than 51 minutes.

Given the following data:

A null hypothesis ([tex]H_0[/tex]) can be defined the opposite of an alternate hypothesis ([tex]H_a[/tex]) and it asserts that two (2) possibilities are the same.

For the null hypothesis, we would test that:

[tex]H_o : \mu =51[/tex]

For the alternate hypothesis, we would test that:

[tex]H_a : \mu < 51[/tex]

The test statistics would be calculated with this formula:

[tex]Z=\frac{x\;-\;u}{\frac{\delta}{\sqrt{n} } }[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]Z=\frac{46.4\;-\;51}{\frac{18.8}{\sqrt{75} } }\\\\Z=\frac{-4.6}{\frac{18.8}{8.6603} }\\\\Z=\frac{-4.6}{2.1708 }[/tex]

Z = -2.12.

In Statistics, a p-value also known as the probability value is the probability which occurs when the null hypothesis ([tex]H_0[/tex]) is true of obtaining a sample mean that is at least as unlikely as what is observed by a researcher or scientist.

From the z-table, a z-score of -2.12 corresponds to or has a p-value of 0.017. Therefore, the p-value for this test is 0.017 > 0.01.

In conclusion, there isn't convincing evidence that the mean time behind the wheel for all U.S. drivers is less than 51 minutes.

Read more on null hypothesis here: https://brainly.com/question/14913351

Answer:

a [tex]Pr = 0.25[/tex]

b [tex]Pr = 0.50[/tex]

c [tex]Pr = 0.1875[/tex]

Step-by-step explanation:

Given

[tex]n = 4[/tex] --- number of times

[tex]r = 2[/tex] --- faces of a coin

First, is to determine the sample size.

This is calculated as:

[tex]Size =r^n[/tex]

[tex]Size =2^4[/tex]

[tex]Size =16[/tex]

Solving (a): First and last slip is head

This event is represented as:

[tex]E=\{HHHH, HHTH, HTHH, HTTH\}[/tex]

The probability is calculated as:

[tex]Pr = \frac{n(E)}{Size}[/tex]

[tex]Pr = \frac{4}{16}[/tex]

[tex]Pr = 0.25[/tex]

b) At least 2 consecutive flips that is heads.

This event is represented as:

[tex]E=\{HHHH,HHHT,HHTH,HHTT,THHH,THHT,HTHH,TTHH\}[/tex]

The probability is calculated as:

[tex]Pr = \frac{n(E)}{Size}[/tex]

[tex]Pr = \frac{8}{16}[/tex]

[tex]Pr = 0.50[/tex]

c) First is tail and at least 2 consecutive flips is head.

This event is represented as:

[tex]E=\{THHH,THHT,TTHH\}[/tex]

The probability is calculated as:

[tex]Pr = \frac{n(E)}{Size}[/tex]

[tex]Pr = \frac{3}{16}[/tex]

[tex]Pr = 0.1875[/tex]  

Answer:

215.75

Step-by-step explanation:

.       .

 ----

Answer:

8.7

Step-by-step explanation:

formula

d = sqrt(s^2 + s^2 + s^2)

d = sqrt(3*5^2)

d = sqrt(75)

d = 8.7

Where did I get the formula? If the cube sits on one of its faces then the diagonal of that face is sqrt(s^2 + s^2) = sqrt(2s^2)

Now to get the third s^2, you have to realize the the diagonal you calculated in the previous remark is one of the legs for the cube's corner to corner diagonal. The other leg is the height squared which is also s^2.

Answer:

hello love! your answer is 8.7cm :)

Step-by-step explanation:

i got it right on edge !

Answer:

156 is the tax

Step-by-step explanation:

2600 x .06 = 156

Answer:

Are you giving any exam or what?

Answer:

C. 3x^2-2x=0

Step-by-step explanation:

3x^2+2x=x(3x+2)=0

x=0 or 3x+2=0⇒3x=-2⇒x=-2/3

Answer:

Step-by-step explanation:

From the information given:

X represent no of Canon SLR

The pmf is given as:

X      0         1        2           3        4

p(x)   0.1       0.2   0.3     0.25   0.15

p = P(customers that purchase the camera & also purchase an extended waranty.

As a result, the conditional distribution Y provided X approaches a Binomial distribution with n = x and p = 0.55 as the parameter.

[tex]\dfrac{Y}{X}\sim Bin (n = x, p=0.55) y =0.1, ... x \ and \ X = 0,1,2,3,4[/tex]

The condition probabilities Y given X is:

[tex]P (\dfrac{Y=0}{X=0}) = 1 \\ \\ P(\dfrac{Y=0}{X=1} ) = 0.45 and P(\dfrac{Y=1}{X=1}) = 0.55 \\ \\ P(\dfrac{Y=0}{X=2}) = 0.2025 , P(\dfrac{Y=1}{X=2}) = 0.495, P(\dfrac{Y=2}{X=2}) = 0.3025 \\ \\ P(\dfrac{Y=0}{X=3}) =0.091125 , P(\dfrac{Y=1}{X=3} ) =0.334125 , P(\dfrac{Y=2}{X=3}) = 0.408375; \ \ \& \ \ P(\dfrac{Y=3}{X=3}) = 0.166375 \\ \\[/tex]

[tex]P(\dfrac{Y=0}{X=4}) =0.041006 \ , \ P(\dfrac{Y=1}{X=4} ) =0.200475 , \ P(\dfrac{Y=2}{X=3} ) =0.367538 , \\ \\ P(\dfrac{Y=3}{X=4} ) =0.299475 , \ P(\dfrac{Y=4}{X=4} ) =0091506 ,[/tex]

Now, the joint P.D (probability Dist.) of X & Y is expressed as:

[tex]P(\dfrac{Y=y}{X=x} ) = P\dfrac{Y=y\ , \ X=x }{X=x} \\ \\ P(X=x,Y=y) = P(\dfrac{Y=y}{X=x} ) \times P(X=x)[/tex]

The Joint P.D is;

                       Y                                                                      Total

              0              1                    2             3          4

X     0     0.1            0                  0              0         0                  0.1

       1      0.09        0.11              0               0         0                 0.2

   2    0.06075  0.1485      0.09075          0         0                 0.3

   3    0.022781 0.083531 0.102094   0.041594  0                0.25

   4    0.006151  0.030071  0.055131  0.044921  0.013726    0.15

Total  0.279682 0.372103  0.247974  0.086515 0.013726       1

(a)

P(X=4,Y=2)

From the table above:

P(X=4,Y=2) = 0.055131

(b)

[tex]P(X=Y ) \implies P (X=0,Y=0) + P (X=1,Y=1) +P (X=2,Y=2) +P (X=3,Y=3) +P (X=4,Y=4) \\ \\ = 0.1 +0.11 + 0.09075 + 0.041594 + 0.013726 \\ \\ \mathbf{= 0.35607}[/tex]

Answer:

Hello, I am having difficulties understanding thsi question, could youplease help me out so I can help you out?

Step-by-step explanation:

Answer:

y = 98(w) + 115(18 - w)

Step-by-step explanation:

The expression that represents how much Kevin spends for classes at both schools :  (#credits at Westside)($98) + (#credits at pinewood)($115).   If he takes all credits at Westside this is 18(98) + 0, which would be the lowest cost it could be,  if he takes all credits at Pinewood this would be 0 + (18)(115) which would be the maximum Bob could pay for 18 credits.   If y is the total cost of is courses, then  y = 98(w) + 115(18 - w).  Using the distributive property, this can be simplified.

Answer:

Each additional sugary snack eaten is associated with a loss of five points on the test.

Step-by-step explanation:

Answer:

[tex] {3}^{2} [/tex]

Step-by-step explanation:

♡ Good Lessons ♡

Answer:

it's indices tho so you'll use addition/subtraction rule