Question is down in the image|||||

Answer:

42.50 units²

Step-by-step explanation:

Area of the trapezoid = ½(AB + DC)×AD

AB = 6

DC = 11

AD = ?

Use trigonometric function, TOA to find AD:

Tan 45 = Opp/Adj

Opp = AD

Adj = 11 - 6 = 5

Tan 45 = AD/5

5 × tan 45 = AD

AD = 5

✔️Find Area of trapezoid.

Area = ½(AB + DC)×AD

= ½(11 + 6)×5

= 42.50 units²

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:

b

Step-by-step explanation:

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.

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Answer: 12

Explanation:

6 / 1/2 = 6 x 2 = 12

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

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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 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:10% rate:

Principal = p

Rate = 0.10

Interest = 0.10p

5% rate:

Principal = 15500 - p

Rate = 0.05

Interest = 0.05(15500 - p) = 775 - 0.05p

0.10p + (775 - 0.05p) = 1450

0.05p + 775 = 1450

0.05p = 675

p = 13500

10% rate:

Principal = p = $13,500

5% rate:

Principal = 15500 - p = 15500 - 13500 = $2000

Step-by-step explanation:

hope it helps

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:

4x+10

Step-by-step explanation:

Judith= x

Harry = 2x

Janessa= x+10

expression in total= x+2x+x+10 = 4x+10

Answer:

1/2 < 3/4,

6/12 < 5/8,

2/3 = 4/6,

3/8 > 1/4

Step-by-step explanation:

Plz mark as Brainllest

9514 1404 393

Answer:

  20 miles

Step-by-step explanation:

The north and east distances form the legs of a right triangle. The straight-line distance between the trains is the hypotenuse of that triangle. The Pythagorean theorem can be used to find the length of the hypotenuse (d).

  d² = 12² +16²

  d² = 144 +256 = 400

  d = √400 = 20

The two trains are 20 miles apart.

__

Additional comment

You may recognize the given distances are in the ratio 3 : 4.  You may recall that side ratios of 3 : 4 : 5 make a right triangle. If so, you recognize that the straight-line distance is (4 miles)×5 = 20 miles. (3:4:5 right triangles show up often in algebra and geometry problems, so might be something you want to look for.)

Answer:

36 cm

Step-by-step explanation:

Perimeter = sum of lenght of all sides

Perimeter = 6 + 10 + 8 + 12

Perimeter = 36 cm

Answer:

3 sides

180 degrees

Yes

False

60 degrees

Extending to the side or moving to the side

Rhombus, Square, Rectangle

Acute

Sides

Angles

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.

Learn more from brainly :

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:

Negative

Step-by-step explanation:

The line is trending downwards, which is indicative of a negative slope.

Answer:

it would be 0.0125 i guess

Answer:

1250

Step-by-step explanation:

500000 / 400 = 1250

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:

At least 4

Step-by-step explanation:

Photo of my work and where I got the equation from

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)

Step-by-step explanation:

no solutions

because the absolute value of any number can never be negative.

Answer:

-6m+3

Step-by-step explanation:

"use the distributive property to multiply 3(-2m+1)​"

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The distributive property states that the product of an expression and a sum is equal to the sum of the products of the expression and each term in the sum. For example, a(b + c) = ab + ac. The division property of inequality states that two unequal values divided by a positive number retain the same relationship.

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

We can simplify this into-

3(-2m) + 3(1)

Now, we can multiply.

-6m + 3

==================================================================

Hope I Helped, Have a Nice Day!

* Feel Free to ask any questions to clarify :) *

             -Aadi x

Answer:

b  i think    

Step-by-step explanation:

Answer:

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

Answer:

probability: 1/10 or 10%

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:

x = 107

Step-by-step explanation:

If x = 107,

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

Then x must be 107.

Answer:

8 cups is bigger

Step-by-step explanation:

3 pints = 6 cups

6 < 8