Point A is located at (-5, -8). After it is translated, point A' is located at (-5, -5). What was the translation?

Answer:

At least 4

Step-by-step explanation:

Photo of my work and where I got the equation from

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.

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:

(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:

In the last task, the result is 17+3x/6

Step-by-step explanation:

X+5/3 - 2x-7/6 + x/2

2(x+5)-(2x-7)+3x /6

2x+10-2x+7+3x /6

17+3x/6

I dunno this task above, I hope this one is correct :))

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:

b  i think    

Step-by-step explanation:

Answer:

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

Answer:

The answer is 75.36......

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:

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

2787.64 is the volume..

Step-by-step explanation:

slope = 2-4/2-1 = -2

y - 2 = -2(x - 2)

y-2 = -2x +4

y = -2x + 6

Answer:

y = -2x + 6

Step-by-step explanation:

(y-4)/(2-4) = (x-1)/(2-1)

(y-4)/(-2) = x-1

y-4 = -2x +2

y = -2x + 6

Answer:

probability: 1/10 or 10%

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

Answer:

b

Step-by-step explanation:

Answer:

9,500 bottles.

Step-by-step explanation:

1 cubic meter = 1000000 milli liters

We can convert (2.85 cubic meter) to (milli liters) as

1 cubic meter = 1000000 milli liters

2.85 cubic meter = X milli liters

If we Cross multiply and find X, we have

X milli liters = [(2.85 cubic meter × 1000000 milli liters) ] / 1 cubic meter

X= 2850,000 milli liters

Then (2.85 cubic meter) will be equal to ( 2850,000 milli liters)

Capacity of the Bottle = 300 ml

Number of bottles that 300 ml capacity can be filled out of it =

(2850,000 milli liters) / (300 ml)

= 9,500 bottles.

9514 1404 393

Answer:

  $100

Step-by-step explanation:

We assume you're interested in the revenue collected by the food truck.

  6 1/4 pizzas = (6·4+1)/4 = 25/4 = 50/8 pizzas = 50×(1/8 pizza)

If each 1/8 pizza slice is sold for $2, then the revenue is ...

  50 × $2 = $100 . . . . revenue from 6 1/4 pizzas

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:

x = 107

Step-by-step explanation:

If x = 107,

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

Then x must be 107.

Answer:

b is the answer

Step-by-step explanation:

if you look at the graph chart you will notice that b lines up with negative 4 and positive 2

Answer:

8 cups is bigger

Step-by-step explanation:

3 pints = 6 cups

6 < 8

Answer:

9/13

Step-by-step explanation:

The ratio of

do not wear glasses : those who do wear glasses = 9 / 13

Be sure and keep the numbers opposite their descriptions.

9 is across from those who wear glasses

13 is across from those who do not wear glasses.

Answer:

3 sides

180 degrees

Yes

False

60 degrees

Extending to the side or moving to the side

Rhombus, Square, Rectangle

Acute

Sides

Angles

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:

The area would be 40.5 cm ^2

Step-by-step explanation:

Well first you don’t gotta worry about some isosceles trapezoid thingy.

You just gotta know the formula for a trapezoid is (b1+b2)/2)h

B1 in this case is or base 1 (9 or 4.5)

b2 in this case is or base 2 (9 or 4.5)

(you can only choose one base for each)

ANd you add those 2 up and you’d get 13.5

13.5/2 which is 6.75

Now we multiply it by the height which is 6 and gte 40.5

40.5cm ^2 is the final answer

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)

Here we would be using the midpoint formula to find the co-ordinates of the line segment joining the two given points.

Given points,

We have :

[tex] \red\bigstar[/tex]Midpoint of two points:-

Now, refer to the attachment.

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