solve these 3 quadratic equations

Answer:

36 cm

Step-by-step explanation:

Perimeter = sum of lenght of all sides

Perimeter = 6 + 10 + 8 + 12

Perimeter = 36 cm

Answer:

Step-by-step explanation:

Let the blue point is located at the origin.

Therefore, coordinates of the vertices of the given triangle ABC will be,

A(2, 1), B(2, -1) and C(3, -1)

Rule for the dilation of a point (x, y) by a scale factor 'k' will be,

(x, y) → (kx, ky)

By applying this rule, coordinates of the image points of the vertices will be,

A(2, 1) → A'(2k, k)

          → A'(6, 3) for (k = 3)

B(2, -1) → B'(6, -3)

C(3, -1) →C'(9, -3)

Answer:

So this is the right answer.....

Step-by-step explanation:

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  i think    

Step-by-step explanation:

Answer:

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

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

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:

3 sides

180 degrees

Yes

False

60 degrees

Extending to the side or moving to the side

Rhombus, Square, Rectangle

Acute

Sides

Angles

Answer:

b. yes type II error

Step-by-step explanation:

When the null hypothesis is false as is in this case and it is accepted so the decision made is wrong. This is a type II error.

When we accept the null hypothesis when actually it is false it is called a type II error.

In reality, the mean number of shades the toothpaste that whitens the teeth is three shades.

Where as the null hypothesis was that the four shades  are taken as the mean number of shades the toothpaste whitens the teeth.

Therefore as the null hypothesis which is actually false is accepted so a wrong decision is made a type II error is made.

Answer:

x = 107

Step-by-step explanation:

If x = 107,

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

Then x must be 107.

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: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:

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:

2 different arrangments

Answer:2,7,12,19

Step-by-step explanation:

a2=a2-1+5=-3+5=2

a3=a3-1+5=a2+5=2+5=7

a4=a3+5=12 and continue so on

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:

Volume of triangular pyramid = 56 mi³

Step-by-step explanation:

Given:

Height of base = 6 mi

Base of triangular base = 8 mi  

Height of triangular pyramid = 7 mi

Find:

Volume of triangular pyramid

Computation:

Area of triangular pyramid = (1/2)(b)(h)

Area of triangular pyramid = (1/2)(6)(8)

Area of triangular pyramid = 24 mi

Volume of triangular pyramid = (1/3)(A)(H)

Volume of triangular pyramid = (1/3)(24)(7)

Volume of triangular pyramid = 56 mi³

Answer:

8 cups is bigger

Step-by-step explanation:

3 pints = 6 cups

6 < 8

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:

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

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:

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:

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

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:

probability: 1/10 or 10%

Answer:

D and E are the answers

Step-by-step explanation:

Hope that helps!

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:

At least 4

Step-by-step explanation:

Photo of my work and where I got the equation from

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:

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.