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Answer:

4/14 x 4/14 x 4/14 x 4/14 = 256/38416

Step-by-step explanation:

There are 4 green marbles

3 red marbles

7 yellow marbles

Altogether = 4 + 3 + 7 = 14

Probability of picking a green marble 1st = 4/14

Probability of picking a green marble 2nd = 4/14

and you still have 2 more green marbles in the bag, so it will look like this:

4/14 x 4/14 x 4/14 x 4/14 = 256/38416

Answer:

D and E are the answers

Step-by-step explanation:

Hope that helps!

Answer:

(19228.737 ; 20771.263)

Step-by-step explanation:

Given that:

Sample size, n = 17

Sample mean, m = 20,000

Sample standard deviation, s = 1500

α = 95%

The confidence interval,

Mean ± margin of error

Margin of Error : Tcritical * s/sqrt(n)

Tcritical at α = 0.05 ; df = n-1 = 17 - 1 = 16 ; 2 - tailed test = 2.120

Margin of Error = 2.120 * 1500/sqrt(17) = 771.263

Lower boundary :

20,000 - 771.263 = 19228.737

Upper boundary :

20,000 + 771.263 = 20771.263

Confidence interval :

(19228.737 ; 20771.263)

Answer:

b

Step-by-step explanation:

The regression which comprises of both entity & time effect can be expressed as;

[tex]Y_{it} = B_1X_{it} + \alpha_i + \lambda_i + \mu_{it}[/tex]

Where;

take charge of the state-explicit qualities that don't change over the long run

 controls the variables that differ after some time yet not across substances,

[tex]u_{it}[/tex] controls state-specific qualities which shift after some time.

Thus, from the options given above:  

The first option lacks or does not involve the time effect as we are only looking for a particular year.

The second option comprises only 2 years of data which implies that we have a time effect involved. In addition to that, there exist a few variables in executing measurements that join fixed effects. In this case, we can utilize regression with time and fixed effect.

(c) The information here is quarterly over an extended period of time. Hence, it would prefer a period arrangement information than a fixed and time impact information. Thus, this is incorrect.

(d) Since no time variable is associated, we reject the option.

Answer:

Sin A = 8/17

Cos A = 15/17

Tan A = 8/15

Step-by-step explanation:

Recall: SOHCAHTOA

Reference angle = <A

Opposite = 8

Hypotenuse = 17

Adjacent = 15

Therefore,

Sin A = Opp/Hyp = 8/17

Cos A = Adj/Hyp = 15/17

Tan A = Opp/Adj = 8/15

Answer:

20% profit

Step-by-step explanation:

(1800-1500) / 1500 = 0.2

so 20% profit

Answer:

20% profit

Step-by-step explanation:

Hope this helps

Answer:

x^2 - 6x + 8 x - 2

x

0 8 -2

1 3 -1

2 0 0

3 -1 1

4 0 2

5 3 3

The solutions are in red ⇒ x = 2 and x = 5

Answer:

36 cm

Step-by-step explanation:

Perimeter = sum of lenght of all sides

Perimeter = 6 + 10 + 8 + 12

Perimeter = 36 cm

Answer:

2 different arrangments

Answer:

A (4,3)

Step-by-step explanation:

J is inside the parallelogram.

K is indside a trapezium.

So we want to find the coordinates of point J.

Reading from the scales, point J is x = 4 and y = 3.

Writing our answer in the form (x, y) coordinates of J are: (4,3)

Answer:

x = 107

Step-by-step explanation:

If x = 107,

(9 x 107) - (8 x 107) = 107

Then x must be 107.

Answer:

Step-by-step explanation:

From the given information, we can compute the table showing the summarized statistics of the two alloys A & B:

                                            Alloy A        Alloy B

Sample mean                    [tex]\bar {x} _A = 49.5[/tex]      [tex]\bar {x} _B = 45.5[/tex]

Equal standard deviation    [tex]\sigma_A = 5[/tex]         [tex]\sigma_B= 5[/tex]

Sample size                          [tex]n_A = 30[/tex]        [tex]n_{B}= 30[/tex]

Mean of the sampling distribution is :

[tex]\mu_{\bar{X_1}-\bar{X_2}}= 49.5-45.5 \\ \\ = 4.0[/tex]

Standard deviation of sampling distribution:

[tex]\sigma_{\bar{x_1}-\bar{x_2} }= \sqrt{\sigma^2_{\bar{x_1}-\bar{x_2} }} \\ \\ = \sqrt{\dfrac{\sigma_1^2}{n_1} + \dfrac{\sigma^2_2}{n_2} } \\ \\ =\sqrt{\dfrac{25}{30}+\dfrac{25}{30}} \\\\=\sqrt{1.667} \\ \\ =1.2909[/tex]

Hypothesis testing.

Null hypothesis:  [tex]H_o: \mu_A -\mu_B = 0[/tex]

Alternative hypothesis:  [tex]H_A:\mu_A -\mu_B > 4[/tex]

The required probability is:

[tex]P(\overline X_A - \overline X_B>4|\mu_A - \mu_B) = P\Big (\dfrac{(\overline X_A - \overline X_B)-\mu_{X_A-X_B}}{\sigma_{\overline x_A -\overline x_B}} > \dfrac{4 - \mu_{X_A-\overline X_B}}{\sigma _{\overline x_A - \overline X_B}} \Big) \\ \\ = P \Big( z > \dfrac{4-0}{1.2909}\Big) \\ \\ = P(z \ge 3.10)\\ \\ = 1 - P(z < 3.10) \\ \\ \text{Using EXCEL Function:} \\ \\ = 1 - [NORMDIST(3.10)] \\ \\ = 1- 0.999032 \\ \\ 0.000968 \\ \\ \simeq 0.0010[/tex]

This implies that a minimal chance of probability shows that the difference of 4 is not likely, provided that the two population means are the same.

b)

Since the P-value is very small which is lower than any level of significance.

Then, we reject [tex]H_o[/tex] and conclude that there is enough evidence to fully support alloy A.

Answer:

8 cups is bigger

Step-by-step explanation:

3 pints = 6 cups

6 < 8

Answer:

(B) (0.396, 1.712)

Step-by-step explanation:

From the information given;

Confidence Interval = 0.95

Significance Level [tex]= 1 - 0.95 = 0.05[/tex]

The confidence interval for regression coefficient beta (whereby in this case it is the coefficient of the diameter) is expressed by:

= [tex]( Beta ^- \ t_{n-2}, \alpha/2 ( S.E \ of \ \^ \ \ ), Beta^+ \ t_{n-2}, \alpha/2 ( S.E \ of \ \^ \ \ ))[/tex]

From the regression coefficient, the estimated value of beta^  = 1.054

[tex]= (1.054 - t_{29,0.025} *(0.322), 1.054 + t_{29,0.025}*(0.322))[/tex]

[tex]t_{229,0.025} = 2.0452\\\\ = \mathbf{(0.396, 1.712)}[/tex]

Answer:

At least 4

Step-by-step explanation:

Photo of my work and where I got the equation from

Answer:

YUH SHAWTY BAE SHAWTY BAD SHAWTY GAYYY

Step-by-step explanation:

CALL ME WHEN U WANT CALL ME WHEN U NEED CALL ME IN THE MORNING ILL BE ON THE WAYYYYY

Answer:

C

Step-by-step explanation:

Mark me brainllest

Answer:

14 children are wearing a red shirt in the park.

Step-by-step explanation:

The fraction 7/8 is 7 out of 8 but your total kids is 16 so we can go ahead and multiply by 2.

(7*2)/(8*2)

14/16

So now it's 14 out of 16 kids which is the total you have.

Conclusion: 14 Children are wearing a red shirt in the park.

Answer:

An 80% confidence interval for the proportion of companies that are planning to increase their workforce is 0.033 < p < 0.331.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Only 2 of the 11 companies were planning to increase their workforce

This means that [tex]n = 11, \pi = \frac{2}{11} = 0.182[/tex]

80% confidence level

So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.182 - 1.28\sqrt{\frac{0.182*0.818}{11}} = 0.033[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.182 + 1.28\sqrt{\frac{0.182*0.818}{11}} = 0.331[/tex]

An 80% confidence interval for the proportion of companies that are planning to increase their workforce is 0.033 < p < 0.331.

1 sunflower costs $2.25 because 18/8=2.25

Answer:

5

Step-by-step explanation:

A1 = (h*b)/2

   = ( (8-1)*(3-1) ) /2

   = 7

A2 = (h*b)/2

     = (2*2) /2

     = 2

Ablue = A1 - A2

          = 7 - 2

          = 5

Answer:

b  i think    

Step-by-step explanation:

Answer:

b...................

Answer:

probability: 1/10 or 10%

Answer:

Center = P

Radius = 12 cm

Diameter = 2(radius) = 2(12) = 24 cm

Circumference = 2πr = 2(3.14)(12) =75.36 cm

There are infinite radii and diameters in a circle.

Answer:

1 1/10

Step-by-step explanation:

Hope this helps

Happy Easter!

May the Lord bless you

Have a nice day!

:)

Let 2_3/4 be 11/4.

We now have 2/5 * 11/4.

(numerator times numerator)/(denominator times denominator).

(2 * 11)/(5 * 4)

22/20

We can now reduce this fraction to the lowest terms.

The greatest factor of 22 and 20 is 2.

22 divided by 2 = 11.

20 divided by 2 = 10.

Answer: 11/10

Step-by-step explanation:

Length = 19cm

Length is 5cm more than breadth i.e.

Breadth = 19 - 5 = 14cm

Area = Length x Breadth

= 19 x 14

= 266cm²

Answer:

3 sides

180 degrees

Yes

False

60 degrees

Extending to the side or moving to the side

Rhombus, Square, Rectangle

Acute

Sides

Angles

9514 1404 393

Answer:

  x ≈ 1.796322 . . . in all cases

Step-by-step explanation:

For Newton's method iteration, we like to use a function such that we are finding a zero of the function. Here, this means we want to rearrange the equation to ...

  f(x) = x^3 -x -4

so that we are finding x for f(x) = 0.

The iterator is ...

  next x = x - f(x)/f'(x) . . . . . where f'(x) is the first derivative

Many graphing calculators can accept the notation f'(x), so we do not actually have to determine the derivative algebraically. In the first attachment, we have used the function f1(x) to compute the next iteration value ("next x").

__

a) In the first attachment, we have used a math package to define the function, the iterator, and an accumulator of iteration values. The N[ ] function causes the display of 7 significant digits. Computations are performed to 30 significant digits. Starting values are the third argument from the right end of the expression doing the computation. They are 1, 6/10, 57/100.

It shows that it takes 6 iterations starting from x=1 to get to 6 decimal places of accuracy. The 7th iteration is computed so that we can compare the first 6 decimal places. The final iteration gives a value of x of 1.796322.

We know that Newton's method converges quadratically (from a close-enough starting point), so 4 good decimal digits in the 5th iteration can be expected to become 8 good decimal digits in the 6th iteration. That is, if two iterations agree in the first 3 decimal digits, then the second of those can generally be considered accurate to at least 6 decimal digits.

__

b) Starting from x=0.6, more iterations are required. The attachment shows that 6-decimal place accuracy is achieved in 13 iterations. More iterations are required because the starting point is closer to the function turning point, so initial iterations tend to diverge from the root.

__

c) Starting from x=0.57, 20 iterations are required. This starting point is on the wrong side of the turning point of the function, so the initial iteration sends the computation a significant distance in the wrong direction.

__

d) The graph and tangent lines are shown in the second attachment. Successively smaller starting values have tangents with successively smaller slopes.

Answer:

Step-by-step explanation:

Top question

Take 150000*.15 and get 22500, Then 150000-22500=127500

Question two

Take 1/3*9000=3000

9000-(9000*1/3)

Answer:

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points