One factor of the polynomial 2x3 -3x2 – 3x + 2 is (x - 2), which expression represents the other factor, or factors, of the polynomial?
A. (2x + 1)(x - 1)
B (2.x2 - x+ 1)
C (2x2 + 1)
D. (2x - 1)(x+1)

Answer:

C

Step-by-step explanation:

The graph would have a positive y-intercept

The y-intercept is when x = 0

To find the y-intercept, plug in 0 for x

y = -5(0) + 10

y = 0 + 10

y = 10

10 is a positive number

Y-intercept is positive

Answer:

a

  [tex]P(A) =  0.85[/tex]

b

  [tex]P(A | D)  =  0.7522 [/tex]

Step-by-step explanation:

From the question we are told that

  The percentage of ENC made by Alice is P(A) 85% = 0.85

  The percentage of ENC made by Byte P(B) 10%=0.10

  The percentage of ENC made by Cognizant P(C) =  5%= 0.05

 The percentage rate of defect of ENC made by Alice is  p  =  2.5 %  =  0.025

  The  percentage rate of defect of ENC made by  Byte is  q =  4.0% = 0.04

 The  percentage rate of defect of ENC made by Cognizant  r =  6% =0.06

Generally the probability that a randomly selected ENC will be made by Alice is  

  [tex]P(A) =  0.85[/tex]

Generally the probability that a randomly selected ENC that was found to be defective will be made by Alice is

        [tex]P(A | D)  =  \frac{P(A) *  p}{P(D)}[/tex]

Here

    [tex]P(D)[/tex] is the probability that a randomly selected ENC will be defective and this is mathematically represented as

       [tex]P(D) =  P(A) *  p  +  P(B) *  q  +  P(C) *  r[/tex]

=>     [tex]P(D) =  085 *  0.025   +  0.10  *  0.040  +  0.05  *  0.06[/tex]

=>     [tex]P(D) =  0.02825 [/tex]

So

      [tex]P(A | D)  =  \frac{ 0.85 * 0.025 }{0.02825}[/tex]

=>    [tex]P(A | D)  =  0.7522 [/tex]

Answer:

83.85%

Step-by-step explanation:

The formula for confidence interval

= Mean ±( z × Standard deviation/√n)

Confidence Interval = Mean ± Margin of Error

Mean = 4.20mm

n = 87

Standard deviation = 0.10mm

z = ????

Hence:

Confidence Interval = Mean ± Margin of Error

Step 1

We find the Margin of Error

(4.185, 4.215) = 4.20 ± Margin of Error

4.20 - 4.185 = 0.015

4.215 - 4.20 = 0.015

Hence, Margin of Error = ± 0.015

Step 2

We find the z score

Margin of Error = z × Standard deviation/√n

±0.015 = z × 0.10/√87

± 0.015 = 0.0107211253z

z = ±0.015/0.0107211253

z = 1.39910686428

z score ≈ 1.4

Step 3

We find the confidence interval that corresponds to 1.4

Using the z table to find the Probability

P(z = 1.4) = 83.85%

Therefore, the level of the confidence interval (4.185, 4.215) is 83.85%

Answer:

[4.1mm to 4.3mm]

Step-by-step explanation:

Sample size = 87 glass sheets

Sample mean = 4.2mm

Sample standard deviation = 0.1mm

Confidence interval or level = the range from lower limit of sample mean to upper limit of sample mean

[4.2 - 0.1] to [4.2 + 0.1]  = [4.1mm to 4.3mm]

Answer:

5.3

Step-by-step explanation:

1.8x = 9.4

x = 5.3

The value of x that makes the equation true is 5.3, the correct option is D.

An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.

The equations are useful in determination of unknown parameters.

The equation is,

0.3x + 5. 14 = 2.1x - 4.4

The equation is made of two expressions,

The expression 1 is : 0.3x + 5. 14

The expression 2 is : 2.1x - 4.4

The value of x that makes the equation true has to be determined.

0.3x + 5. 14 = 2.1x - 4.4

Grouping the like terms on one side.

5.14 +4.4 = 2.1x -0.3x

Solving the variables and constants

9.54 = 1.8 x

Dividing 1.8 on both sides of the equation.

x = 9.54 /1.8

x = 5.3

The value of x at which the equation is true is 5.3.

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Answer:

x = -2

Step-by-step explanation:

5x + 7 = 2x + 1

subtract both sides by 2x

3x + 7 = 1

subtract both side by 7

3x = -6

divide both sides by 3

x = -2

Answer:

Leftmost 9: 900

9 between 9 and 0: 90

9 on left is worth 10 times 9 on right.

Step-by-step explanation:

990.250

The 9 at the left is in the hundreds place, so it represents 9 hundreds, so its value is 900.

The 9 between the 9 and the 0 is in the tens place, so it represents 9 tens, and its value is 90.

Since the places are right next to each other, the 9 on the left is worth 10 times the 9 on the right. Sure enough, 900 is 10 times 90.

Answer:

C, 21:19

Step-by-step explanation:

This is because we know that 21 divided by 7 is 3, so we would have to make sure that we are multiplying 7:3 by 3, which we are because 7 times 3 = 21 and 3 times 3 = 9.

Answer:

At 19.14 feet the top of the ladder meet the house.

Step-by-step explanation:

It is given that,

A large ladder leans against a house with the base of the ladder 5.8 horizontal feet from  the base of the house.

Slope of the ladder, m = 3.3 feet/foot

We need to find at what height does the top of the ladder meet the house. Let it is h.

Base, b = 5.8 feet

It will form a right angle triangle

Slope=h/base

h = slope × base

h = 3.3 × 5.8

h = 19.14 feet

So, at 19.14 feet the top of the ladder meet the house.

I think the answer is C

c∥d by the converse of the same-side interior angles theorem.

If two parallel lines are cut by a transversal, then the same side interior angles are supplementary.

Given:

m∠3+m∠8=180°

As, we can see that <3 and <8 are lies on same side of transversal.

So, the line that are parallel are c and d converse of the same-side interior angles theorem.

Hence, c∥ d by the converse of the same-side interior angles theorem.

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Answer:

2 6/7

Step-by-step explanation:

You have to use the KEEP CHANGE CHANGE method. When you do this you end up with 4/7*5/1 which equals 20/7 and you then change that into a mixed number and you have your answer!

HOPE THIS HELPS!

Answer:

The answer is 2 6/7

Step-by-step explanation:

First, you set up the problem.

[tex]\frac{4}{7} / \frac{1}{5}[/tex]

Next, you change the division sign into multiplication

[tex]\frac{4}{7} x \frac{1}{5}[/tex]

Then you flip the 1/5

[tex]\frac{4}{7} x \frac{5}{1} \\[/tex]

Afterward, you multiply fractions straight across.

[tex]\frac{4}{7} x \frac{5}{1} =\frac{20}{7}[/tex]

Finally, you will simplify your answer into a mixed number.

[tex]\frac{20}{7} = 2 6/7[/tex]

Hope this helps!!

Answer:

376.37

Step-by-step explanation:

Answer:

376.37

Step-by-step explanation:

Answer:

Z scores for:

a) 76 = 1.33333

b) 38 = -1.83333

c) 50 = -0.83333

Step-by-step explanation:

Z score formula is:

z = (x-μ)/σ where

x is the raw score

μ is the population mean

σ is the population standard deviation.

Mean = 60

Standard deviation = 12.

a) 76

z = (x-μ)/σ

z = 76 - 60/12

z score = 1.33333

b) 38

z = (x-μ)/σ

z = 38 - 60/12

z score = -1.83333

c) 50

z = (x-μ)/σ

z = 50 - 60/12

z score = -0.83333

Answer:

8x + 7 - 2x - 4

8x + (-2x) = 6x

7 + -4 = 3

Final Answer= 6x + 3

Answer:

[tex]9 \frac{7}{12} [/tex]

Step-by-step explanation:

Expand:

[tex]6(2x) + 6( - 4) = 7(13) \\ 12x - 24 = 91[/tex]

+24 on both sides:

[tex]12x = 91 + 24[/tex]

Simplify:

[tex]12x = 115[/tex]

÷12 on both sides:

[tex]x = 115 \div 12 \\ x = 9 \frac{7}{12} [/tex]

Answer:

x = 9.583 or 115/12

Step-by-step explanation:

Hope this helps!!

Answer:

Y=2x

Step-by-step explanation:

The complete table is given as follows -

Time (in hours)                        Snow (in inches)

0                                                      1

1                                                       2

2                                                      4

6.5                                                  13

[x]                                                   [2x]

The equation that shows the amount of snow that has fallen after [x] hours can be written as y = 2x

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

Given is that snow Is falling steadily such that after 2 hours, 4 inches of snow has fallen.

In 2 hours → 4 inches of snow has fallen.

Then, in 1 hour → (4/2) → 2 inches of snow has fallen.

So, in 6.5 hours → 2 x 6.5 → 13 inches

Hence, in x hours → 2x inches

The complete table is shown below

Time (in hours)                        Snow (in inches)

0                                                      1

1                                                       2

2                                                      4

6.5                                                  13

x                                                      2x

The equation that shows the amount of snow that has fallen after [x] hours can be written as -

y = 2x

Therefore, the complete table is given as follows -

Time (in hours)                        Snow (in inches)

0                                                      1

1                                                       2

2                                                      4

6.5                                                  13

[x]                                                   [2x]

The equation that shows the amount of snow that has fallen after [x] hours can be written as y = 2x

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[Refer to image for complete question]

Answer:

...................................

Step-by-step explanation:...................................

Answer:

m=-52

Step-by-step explanation:

1) multiply both sides by 4

m=-13×4=-52

Answer:

use the formula for a line through two points

[tex]y - y_{1} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} \times (x - x_{1})[/tex]

plug in the given points:

[tex]y - 7 = \frac{15 - 7}{5 - 1} \times (x - 1)[/tex]

[tex]y = \frac{8}{4} \times (x - 1) + 7[/tex]

[tex]y = 2 \times (x - 1) + 7 \\ y = 2x - 2 + 7 \\ y = 2x + 5[/tex]

Answer:

x = -2

Step-by-step explanation:

Let x be the number:

I hope this helps!

Answer:

There is not enough evidence suggesting that the mean processing time exceeds 2 minutes.

Step-by-step explanation:

The hypothesis can be defined as follows:

H₀: The mean processing time is 2 minutes, i.e. μ = 2.

Hₐ: The mean processing time exceeds 2 minutes, i.e. μ > 2.

The significance level of the test is, α = 0.05.

Recorded Time (x)        (x - μ)          + Ranks             -Ranks

        1.4                          -0.6                                           8

        2.1                            0.1                   1

        1.9                           -0.1                                           1

        1.7                           -0.3                                          6

       2.4                            0.4                  7

       2.9                            0.9                10

       1.8                            -0.2                                          4

       1.9                            -0.1                                           1

       2.6                            0.6                 8

       2.2                            0.2                 4

    TOTAL                                              30                    20

Sum of +Ranks = 30

Sum of -Ranks = 20

Test statistic = Min (∑+Ranks, ∑-Ranks)

                     = Min (30, 20)

                     = 20

Compute the critical value using the Wilcoxon Signed-rank test table.

Critical value = 11

As the test statistic value is more than the critical value, the null hypothesis was failed to be rejected.

Thus, there is not enough evidence suggesting that the mean processing time exceeds 2 minutes.

Answer:

6g/mL

Step-by-step explanation:

Given parameters:

Mass of pineapple = 30g

Volume of rise  = 5mL

Unknown:

Density of pineapple = ?

Solution:

Density of a substance is the mass per unit volume. Mathematically, it is expressed as;

           Density  = [tex]\frac{mass}{volume}[/tex]

The volume is the rise in the pineapple drink.

 Insert the parameters and solve;

        Density  = [tex]\frac{30}{5}[/tex]

    Density  = 6g/mL

Answer:

2.5%

Step-by-step explanation:

1230-1200 = 30

30÷1200 = 0.025

0.025 x 100 = 2.5

Domain = inputs = x = { 1 , 2 , 3 }

Range = outputs = y = { 2 , -1 }

_________________________________

And we're done.

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The answer is c because 2 times 14 is 28 and 17-28=-11

Answer:

14

Step-by-step explanation:

Divide each term by -2 and simplify

Hope this helped!

Answer:

The answer is A.

Step-by-step explanation:

Answer:

Exact Form:

3285

8

Decimal Form:

410.625

Mixed Number Form:

410

5

8

thats what i got i hope this helps

Step-by-step explanation:

Answer:

I think it's supplementary

Answer:

supplementary

Step-by-step explanation:

∠2 and ∠3 are supplementary angles

this means ∠2 and ∠3 are equal to 180

Answer:

option 2 i think i hope i am right