What is the slope of the line
described by -4X + 2Y = 16?

A. -2
B. -4
C. 4
D. 2
E. 16

Answer:

A. The model under-predicts the price of this diamond because the residual is positive.

Step-by-step explanation:

The diamond seller has listed its 0.8 weighting diamonds at a price of $10,999. The price of the diamond is set as the market maker. The model is used to predict the price of the diamonds. This model has under predicted the value of diamonds and actual price of diamonds must be higher.

Answer:

[tex] P(X \geq 6) = P(X=6) +P(X=7) +P(X=8) +P(X=9) +P(X=10)[/tex]

And using the probability mass function we got:

[tex]P(X=6)=(10C6)(0.5)^6 (1-0.5)^{10-6}=0.205[/tex]

[tex]P(X=7)=(10C7)(0.5)^7 (1-0.5)^{10-7}=0.117[/tex]

[tex]P(X=8)=(10C8)(0.5)^8 (1-0.5)^{10-8}=0.0439[/tex]

[tex]P(X=9)=(10C9)(0.5)^9 (1-0.5)^{10-9}=0.0098[/tex]

[tex]P(X=10)=(10C10)(0.5)^{10} (1-0.5)^{10-10}=0.000977[/tex]

And adding the values we got:

[tex] P(X\geq 6) = 0.377[/tex]

The best answer would be:

D. 0.377

Step-by-step explanation:

Let X the random variable of interest, on this case we now that:

[tex]X \sim Binom(n=10, p=0.5)[/tex]

The probability mass function for the Binomial distribution is given as:

[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]

Where (nCx) means combinatory and it's given by this formula:

[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]

For this case in order to pass he needs to answer at leat 6 questions and we can rewrite this:

[tex] P(X \geq 6) = P(X=6) +P(X=7) +P(X=8) +P(X=9) +P(X=10)[/tex]

And using the probability mass function we got:

[tex]P(X=6)=(10C6)(0.5)^6 (1-0.5)^{10-6}=0.205[/tex]

[tex]P(X=7)=(10C7)(0.5)^7 (1-0.5)^{10-7}=0.117[/tex]

[tex]P(X=8)=(10C8)(0.5)^8 (1-0.5)^{10-8}=0.0439[/tex]

[tex]P(X=9)=(10C9)(0.5)^9 (1-0.5)^{10-9}=0.0098[/tex]

[tex]P(X=10)=(10C10)(0.5)^{10} (1-0.5)^{10-10}=0.000977[/tex]

And adding the values we got:

[tex] P(X\geq 6) = 0.377[/tex]

The best answer would be:

D. 0.377

Answer:

Step-by-step explanation:

2x² - 3x - 6 = 0

Using the quadratic formula

[tex]x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

a = 2 , b = - 3 , c = 6

Substituting the values into the above formula

We have

[tex]x = \frac{ - - 3± \sqrt{ { - 3}^{2} - 4(2)( - 6)} }{2(2)} [/tex]

[tex]x = \frac{3± \sqrt{9 +48 } }{4} [/tex]

[tex]x = \frac{3± \sqrt{57} }{4} [/tex]

[tex]x = \frac{3 - \sqrt{57} }{4} \: \: \: \: or \: \: \: \: \: x = \frac{3 + \sqrt{57} }{4} [/tex]

We have the final answer as

Hope this helps you

Let's take a look at each term separately.

15a^2b^2:

15 has factors 1, 3, 5, 15

a x a

b x b

-24ab

-24 has factors 1, 2, 3, 4, 6, 8, 12, 24

a

b

Now, we can see what each of these terms has in common. Both have a 3 in their factor lists, as well as one a and one b.

Therefore, the greatest common factor is 3ab.

Hope this helps!! :)

Answer:

3ab

Step-by-step explanation:

[tex]15a^{2} b^{2} - 24ab[/tex] is divided by 3

[tex]5a^{2} b^{2} - 8ab[/tex] take away a and b once

hope this helped!!!

[tex]5ab - 8[/tex]

= 3ab

Answer:

14.6

Step-by-step explanation:

(A). STEP ONE: Calculate the mean

(1). Row one = (10 + 12 + 12 + 14 ) = 48/4 = 12.

(2). Row Two: (12 + 11 + 13 + 16 ) = 52/4 = 13.

(3). Row three : (11 + 13 + 14 + 14)/4 = 13.

(4). Row four: (11 + 10 + 7 + 8)/4 = 36/4 = 9.

(5). Row five: (13 +12 + 14 + 13)/4 = 52/4 = 13.

(B). STEP TWO:

- determine the maximum and minimum value for each row.

- for each row, maximum - minimum.

Maximum values for each row:

Row one = 14, row two= 16, row three = 14, row four = 11 and row five = 14.

Minimum value for each row:

Row one = 10, row two = 11, row three = 11, row four =7 and row five = 12.

DIFFERENCES in each row :

row one = 14 - 10 = 4, row two = 16 - 11 = 5, row three = 14 - 11 = 3, row four = 11 - 7 = 4 and row five = 14 -12 = 2.

(C). STEP THREE: Calculate the mean of all the rows = 60/5 = 12.

(D). STEP FOUR : Calculate the Average Range = 18/5 = 3.6.

(E). STEP FIVE : Calculate the UCL.

A = Average rage × 0.729 = 3.6 × 0.729.

B = overall mean = 12.

UCL = A + B = 14.6.

Answer:

IT IS (M-4)(M+1)

Step-by-step explanation:

BECAUSE ALL THE OTHER QUESTION HAVE THE VARIABLE AS X

AND THIS ONE IS M

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

    ✌          -ZYLYNN JADE ARDENNE

Answer: 97

Step-by-step explanation:

Formula to compute the required sample size :

[tex]n= (\dfrac{\sigma\times z_{\alpha/2}}{E})^2[/tex]

, where [tex]\sigma[/tex] = standard deviation

E= Margin of error

[tex]z_{\alpha/2}[/tex] = Two tailed z-value.

Here, E= 20

[tex]\sigma[/tex] = 100

For 95% confidence level: [tex]z_{\alpha/2}[/tex] =1.96

Required sample size:

[tex]n=(\dfrac{100\times1.96}{20})^2\\\\=(5\times1.96)^2\\\\=96.04\approx97[/tex]

Hence, the required sample size : 97

Answer:

The 95 % confidence interval of the mean of the time playing video games. is

        [tex]15.67< \mu <17.52[/tex]

Step-by-step explanation:

From the question we are told that

      The sample size is [tex]n = 35[/tex]

        The sample mean is [tex]\= x = 16.6[/tex]

       The standard deviation is  [tex]\sigma = 2.8[/tex]

The confidence level is  95%  hence the level of significance is mathematically represented as

     [tex]\alpha = 100 - 95[/tex]

     [tex]\alpha = 5[/tex]%

      [tex]\alpha = 0.05[/tex]

Now the critical value of half of this level of significance obtained from the normal distribution table is  

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

The  reason for the half is that we are considering the two tails of the normal distribution curve which we use to obtain the interval

Now the standard error of the mean is mathematically evaluated as

       [tex]\sigma _{\= x} = \frac{\sigma }{\sqrt{n} }[/tex]

substituting values  

     [tex]\sigma _{\= x} = \frac{2.8 }{\sqrt{35} }[/tex]

      [tex]\sigma _{\= x} = 0.473[/tex]

the 95 % confidence interval of the mean of the time playing video games.

is mathematically evaluated as

    [tex]\= x - (Z_{\frac{\alpha }{2} } * \sigma_{\= x }) < \mu < \= x - (Z_{\frac{\alpha }{2} } * \sigma_{\= x })[/tex]

substituting values

    [tex]16.6 - (1.96 * 0.473) < \mu < 16.6 + (1.96 * 0.473)[/tex]

     [tex]15.67< \mu <17.52[/tex]

Answer:

work is shown and pictured

Answer:

2/3

Step-by-step explanation:

got right n edg 2021

Answer:

1 + 1 = 2

Step-by-step explanation:

^

Answer:

no , it's happening to everyone , even I can't see it .

Answer:

This is an arithmetic sequence.

Step-by-step explanation:

The difference between the consecutive terms is constant => sequence is arithmetic.

4-2 = 2

6-4= 2

8-6 = 2

10-8 = 2

Step-by-step explanation:

It's an arithmetic sequences.

Formed by the n th term 2n.

As the difference is 2 between them.

let's find it, by formulae.

n th term = 2n

and so on.....

Therefore, it's an arithmetic sequence.

Hope it helps..

Answer:

0.343

Step-by-step explanation:

First, find the different ways one can chose a professor or instructor. In this case, there are 8 professors and 4 instructors. So there are a total of 12 ways you can choose a professor or instructor.

Second, you want to find the different ways you can choose any member of the faculty. In this example, since you are only choosing one person, then you just find the total number of people in the faculty, which is 8 + 11 + 12 + 4 = 35.

Third, all you do is divide the different ways you can get a professor or instructor by the total different ways you can choose. So it's 12/35, or 0.343.

Answer:

No the evidence is not sufficient

Step-by-step explanation:

From the question we are told that

    The  sample  size is  [tex]n = 900[/tex]

   The  sample  proportion is  [tex]\r p = 0.75[/tex]

    The  population proportion is  [tex]p = 0.72[/tex]

The  Null hypothesis is

   [tex]H_o : p = 0.72[/tex]

The  Alternative  hypothesis is

   [tex]H_a : p > 0.72[/tex]

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

The critical value for the level of significance is  [tex]t_{\alpha } = 1.645[/tex]

 Now the test statistic is mathematically evaluated as

          [tex]t = \frac{\r p - p }{ \sqrt{\frac{p(1-p)}{\sqrt{n} } } }[/tex]

substituting values

        [tex]t = \frac{ 0.75 - 0.72 }{ \sqrt{\frac{0.72 (1-0.72)}{\sqrt{900} } } }[/tex]

        [tex]t = 0.366[/tex]

Since the critical value is  greater than the test statistics then the Null hypothesis is rejected which there is no sufficient evidence to support the claim

Answer:

your answer is x^2 - 16x + 64.

Answer:

x^2 - 16x + 64

Step-by-step explanation:

Answer:

1,500

Step-by-step explanation:

[tex]6*(\frac{25,000}{100} )=1,500[/tex]

Answer: The answer is (D)  t  =  √2d/₅

Step-by-step explanation:

Since a = 2d/t²

Now making t the subject of the formula

at²  = 2d

t²   = 2d/a, to find t , take the square root of both sides

t    =  √2d/₅ since a = 5m⁻².

The answer is d

Answer:

251 inches

Step-by-step explanation:

c = 2πr

c = 2(3.14)(5) = 31.4

31.4 x 8 rev. = 251 inches

Answer:

BC = 10, AC= approximately 13.66 OR 5+5 √3

Step-by-step explanation:

Law of Sines

Answer: answer is: 1000000/19

Step-by-step explanation:

10/19 - 40k -> 10/19*40k= 400000/19

6/19- 60k -> 6/19*60k= 360000/19

3/19 - 80k -> 3/19*80k=240000/19

400000/19+360000/19+240000/19=1000000/19

answer is: 1000000/19

Answer:

the rate at which total personal income was rising in the area in 1999 is $1,580,507,200 billion

Step-by-step explanation:

From the given information:

Let consider y to represent the number of years after 1999

Then the population in time (y) can be expressed as:

P(y) = 9400y + 924900

The average annual income can be written as:

A(y) = 1400y + 30388

The total personal income = P(y)  ×  A(y)

The rate at which the total personal income is rising is T'(y) :

T'(y) = P'(y)  ×  A(y)  + P(y)  ×  A'(y)

T'(y) = (9400y + 924900)' (1400y + 30388) + (9400y + 924900) (1400y + 30388)'

T'(y) = 9400(1400y + 30388) + (9400y + 924900) 1400

Since in 1999 y =0

Then:

T'(0) = 9400(1400(0) + 30388) + (9400(0) + 924900) 1400

T'(0) = 9400(30388) + (924900)1400

T'(0) = $1,580,507,200 billion

Therefore; the rate at which total personal income was rising in the area in 1999 is $1,580,507,200 billion

Answer:

a(n)= a(n+1)+4

Step-by-step explanation:

The first terms of this sequence are: 4,0, -4, -8, -12

Let 4 be a0 and 0 a1.

● a1-a0 = 0-4

●a1-a0 = -4

●a1 = -4+a0

So this relation links the first term with the second one.

replace 1 in a1 with n.

0 in a0 will be n-1

● an = -4+a(n-1)

Add one in n

● a(n+1) = a(n)-4

● a(n) = a(n+1)+4

Answer:

A graph with a slope of -1, and a y-intercept (crosses the y-axis) at 3

Answer:

J = 32

E = 0

Step-by-step explanation:

E is the number of hours for the Escobar family

J is the number of hours for the Johnson family

E + J = 32

E * 20 + J * 30 = 960

Multiply the first equation by -20 so we can use elimination

-20 E -20 J = -640

Add this to the second equation

E * 20 + J * 30 = 960

-20 E -20 J = -640

---------------------------------

         10 J = 320

Divide by 10

J = 32

Now find E

E + J = 32

E  + 32 = 32

E = 0

Answer:

37/42 or 0.88

Step-by-step explanation:

[tex]( \frac{1}{6} + \frac{3}{7} ) + \frac{2}{7} \\ ( \frac{1}{6} + \frac{3}{7} ) = \frac{25}{42} \\ [/tex]

[tex]\frac{25}{42} + \frac{2}{7} = \frac{37}{42} \\ \\ answer = \frac{37}{42} [/tex]

Answer:

I think D

Step-by-step explanation:

Verticle or horizontal line test, it would be a function either way

Answer:

The inverse is ±sqrt((x-1))/ 4

Step-by-step explanation:

y = 16x^2 + 1

To find the inverse, exchange x and y

x = 16 y^2 +1

Then solve for y

Subtract 1

x-1 = 16 y^2

Divide by 16

(x-1)/16 = y^2

Take the square root of each side

±sqrt((x-1)/16) = sqrt(y^2)

±sqrt((x-1))/ sqrt(16) = y

±sqrt((x-1))/ 4 = y

The inverse is ±sqrt((x-1))/ 4

Answer:

D

Step-by-step explanation:

The correct answer is C) 0.56

Explanation:

In general terms, the probability of two or more events can be calculated by adding the probability of each event. This rule applies when an event is considered as mutually exclusive. Age is considered as a mutually exclusive event because if a random individual is selected he/she will be only one age. In this context, if you need to know the probability that a student is 15 or younger it is necessary to add the probability that a student is 15, the probability that the student is 14, and the probability that the student is 13. The process is shown below:

P (A or B or C) = P(A) + P(B) + P(C)

P =  P(13) + P(14) + P(15)

P= 0.001 + 0.25 + 0.30

P= 0.56

Answer:

0.59

Step-by-step explanation:

add the probabilities of 13, 14, and 15

0.01 + 0.28 + 0.3 = 0.59

Answer:

A

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = [tex]\frac{19}{x^3}[/tex] ( multiply both sides by x³ )

x³y = 19 ( divide both sides by y )

x³ = [tex]\frac{19}{y}[/tex] ( take the cube root of both sides )

x = [tex]\sqrt[3]{\frac{19}{y} }[/tex]

Change y back into terms of x, then

[tex]f^{-1}[/tex] (x) = [tex]\sqrt[3]{\frac{19}{x} }[/tex] = [tex]\frac{\sqrt[3]{19} }{\sqrt[3]{x} }[/tex] → A

Answer:

A. -9

Step-by-step explanation:

If one of the variables were negative than, it would not be able to equal 2/7.

Answer:

The dentist should fail to reject the Null hypothesis

Step-by-step explanation:

From the question we are told that

       The sample size is  n =  400

       The  sample  mean is  [tex]\= x = 149[/tex]

       The  level of significance is  5%  = 0.05  

       The  Null hypothesis is  [tex]H_o : p = 0.40[/tex]

        The Alternative  hypothesis is  [tex]H_a : p < 0.40[/tex]

         The  p-value is  [tex]p-value = 0.131[/tex]

Looking at the given data we can see that the p-value is greater than the level of significance hence the dentist should fail to reject the Null hypothesis