find the measure of the exterior angle 1. with one angle is 50 degrees and 28 degrees​

Answer:

[tex]\frac{21}{25} -\frac{22}{25} i[/tex]

Step-by-step explanation:

We can start by writing the division as a fraction:

[tex]\frac{6-i}{4+3i}[/tex]

In order to rationalize the denominator, we need to multiply by the conjugate:

[tex]\frac{6-i}{4+3i} *\frac{4-3i}{4-3i}\\\\\frac{(6-i)(4-3i)}{4^2-(3i)^2}\\\\\frac{24-18i-4i+3i^2}{16+9}\\\\\frac{24-22i-3}{25}\\\\\frac{21-22i}{25} \\\\\frac{21}{25} -\frac{22}{25} i[/tex]

Answer:

40.84 to nearest hundredth.

Step-by-step explanation:

C = pi * d

= pi * 13

= 40.8407

Answer:

its -4.5??? what is the question you're asking

Answer:

x= -1/7

Step-by-step explanation:

Answer:

use table B

Step-by-step explanation:

the perimeter of table A =

2×(96+42) = 2× 138 = 276 inches

the perimeter of table B =

2×3.14×45 = 282.6 inches

table B > table A

Answer:

The 98% confidence interval for the mean of the population is (59, 68.2).

Step-by-step explanation:

Before building the confidence interval, we need to find the sample mean and the sample standard deviation.

Sample mean:

[tex]\overline{x} = \frac{55+64+58+61+69+64+59+69+72+65}{10} = 63.6[/tex]

Sample standard deviation:

[tex]s = \sqrt{\frac{(55-63.6)^2+(64-63.6)^2+(58-63.6)^2+(61-63.6)^2+(69-63.6)^2+(64-63.6)^2+(59-63.6)^2+(69-63.6)^2+(72-63.6)^2+(65-63.6)^2}{10}} = 5.142[/tex]

Confidence interval:

We have the standard deviation for the sample, and thus, we use the t-distribution.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.821

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.821\frac{5.142}{\sqrt{10}} = 4.6[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 63.6 - 4.6 = 59

The upper end of the interval is the sample mean added to M. So it is 63.6 + 4.6 = 68.2.

The 98% confidence interval for the mean of the population is (59, 68.2).

Answer:

x = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

3x + 2 = 17

Step 2: Solve for x

Answer:

you subtract two both side, then divide three both side, you'll get x = 5.

Step-by-step explanation:

3x + 2 = 17

(3x + 2) -2 = (17) -2. First, you subtract 2 for both sides

3x = 15

(3x)/2 = (15)/2. Second, you divide 3 both side

x = 5. Last, you get your answer

Answer:

equilateral triangle

Step-by-step explanation:

equilateral triangle

A triangle: An equilateral triangle is a regular polygon with three equal side lengths and three equal angles.

Answer:

Step-by-step explanation:

A+B+C+D=360 degree (being one complete turn)

360 degrees

Step-by-step explanation:

because it a venticular angle you one side(180) and the other side (180) given you 360 degrees

9514 1404 393

Answer:

  B) 171 units^2

Step-by-step explanation:

The area is given by the formula ...

  A = 1/2(b1 +b2)h

Filling in the given base and height values, we find the area to be ...

  A = 1/2(23 +15)(9) = (19)(9) = 171 . . . square units

_____

Additional comment

You can select the correct answer choice simply on the basis of "reasonableness." If this were a 9×15 rectangle, its area would be 9×15 = 135 square units, more than 85.5. You know its area is less than a 9×23 rectangle, so is less than 9×23 = 207 square units. Only one answer choice is a value between 135 and 207.

__

Multiplication by 9 is not so hard. It is multiplication by 10-1:

  15×9 = 15×(10 -1) = 150 -15 = 135

Answer:

-53

Step-by-step explanation:

You start off with the g of x equation

then you substitute -5 for the x value

after you solve that, you should get g of  x = 23

then you take the f of x equation and plug 23 in for x

then you simplify that and you should end up with an answer of -53

Step-by-step explanation:

i just need points so i can ask my questions

Answer:

D

Step-by-step explanation:

Answer:

D

hope this helps

Answer:

the answer is one hundred and eight 108

Step-by-step explanation:

108 bro trust me

Answer:

125.7 inches cubed.

Step-by-step explanation:

πr^h is the formula for volume of cylinder.

Answer:

The answer for this question is 64 square centimeters

Step-by-step explanation:

To find the area of square , the formula is :

side × side , so in this question we should do 8×8 , since one of the side is 8 cm .

8×8 = 64

Thus the answer of your question is 64

—————————————————

[tex]\mathrm{A = s²}[/tex]

[tex]\mathrm{A = (8 \: cm)²}[/tex]

[tex]\mathrm{A = (8 \: cm)(8 \: cm)}[/tex]

[tex]{\boxed{\mathrm\green{A = 64 \: cm²}}}[/tex]

—————————————————

[tex]\purple{\boxed{\boxed{\tt\pink{64 \: square \: centimeters}}}}[/tex]

Answer:

4.0.

Step-by-step explanation:

In sample 1, you do 0.65/1.3 which gets you to 0.5, so then you do the same to the bottom which you also have to divide by 1.3, and 5.2/1.3 is 4.0 or 4.

Answer:

option D.  4.0

Step-by-step explanation:

                    Mass              Volume

Sample 1        0.65                0.5

Sample 2        5.2                   x

[tex]\frac{0.65}{5.2} = \frac{0.5}{x}\\\\0.65 \times x = 0.5 \times 5.2\\\\0.65x = 2.6\\\\x =\frac{2.6}{0.65} =4[/tex]

Answer:

The bird will be at a ground distance of 10.04 units away.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

Equation for the height:

The height of the bird after x seconds is given by:

[tex]h(x) = -0.114x^2 + 2.29x + 3.5[/tex]

Which is a quadratic equation with [tex]a = -0.114, b = 2.29, c = 3.5[/tex].

When the bird is at its highest?

Quadratic equation with [tex]a < 0[/tex], and thus, at the vertex. The ground distance is the x-value of the vertex. Thus

[tex]x_{v} = -\frac{b}{2a} = -\frac{2.29}{2(-0.114)} = 10.04[/tex]

The bird will be at a ground distance of 10.04 units away.

Answer:

2 times

Step-by-step explanation:

Answer:

4 times

Step-by-step explanation:

8 x 4 = 32 total coins

32÷8 = 4

Therefore, there are 4 times as many coins as people.

Hope this helps! :)

Answer:

0.15

Step-by-step explanation:

The test statistic is 1.145 for the appropriate test to investigate whether there is a difference in population means.

A test statistic is a numerical value calculated from sample data in hypothesis testing.

Given that

Sample 1: Store M

Sample size, [tex]n_1[/tex] = 35,

Sample mean, [tex]\bar{X_1}[/tex] = 300,

Standard deviation, [tex]s_1[/tex] = 40.

Sample 2: Store V

Sample size, [tex]n_2[/tex] = 40,

Sample mean, [tex]\bar{X_2}[/tex] = 290,

Standard deviation, [tex]s_2[/tex] = 35.

The null hypothesis, [tex]H_o[/tex] : there is no difference in population means, i.e.,

[tex]\mu_1 =\mu_2[/tex].

The alternate hypothesis, [tex]H_1[/tex] : there is a significant difference in population means, i.e.,

[tex]\mu_1 \neq\mu_2[/tex].

Under the null hypothesis, the test statistic is

[tex]t = \dfrac{\bar{X_1}-\bar{X_2}}{\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2} }}[/tex]

  [tex]= \dfrac{300-290}{\sqrt{\frac{40^2}{35}+\frac{35^2}{40} }}\\=\dfrac{10}{\sqrt{\frac{1600}{35}+\frac{1225}{40} }} \\=\dfrac{10}{\sqrt{45.714+30.625 }} \\=\dfrac{10}{\sqrt{76.339 }}\\=\dfrac{10}{8.737}\\=1.145[/tex]

Hence the test statistic is 1.145.

Learn more about test statistics here:

https://brainly.com/question/34153666

#SPJ12

Answer:

the common difference is 10

Answer:

371 women had their pregnancy between 250 days and 282 days in length.

di po ako sure sa answer ko, but it is based on what I remembered.

Step-by-step explanation:

z=532-266

16

√500

= 371.74 or 371

Answer:

Step-by-step explanation:

Multiply the two top numbers together. Then record the first digit of the answer.

5*4 =20              Record 2

9*8 = 81              Record 8

3*6 =18               Record 1

7*5 = 35             Record 3

Answer:

[tex]x=26.67[/tex]

Step-by-step explanation:

From the question we are told that:

Height of Pole [tex]h_p=15 foot[/tex]

Height of Man [tex]h_m =6ft[/tex]

Distance from Pole [tex]d_p=40ft[/tex]

Generally the equation for similar Property is mathematically given by

[tex]\frac{h_p}{h_m}=\frac{d_p+x}{x}[/tex]

[tex]x=\frac{h_m*(d_p+x)}{h_p}[/tex]

[tex]x=\frac{6*(40+x)}{15}[/tex]

[tex]x=\frac{240+6x}{15}[/tex]

[tex]x=16+0.4x\\x-0.4x=16[/tex]

[tex]x=16\0.6[/tex]

[tex]x=26.67[/tex]

Answer:

Step-by-step explanation:

Ax+By=C

Ax=C-By

x=C-By/A

Answer:

Step-by-step explanation:

The new equation will be

y = abs(x) + 3

I have made a graph to show you this.

The red graph is y = abs(x)

The blue graph is y = abs(x) + 3

You need only look at the point 0,0 to see what happened. On the red graph (0,0) is the lowest point. When you add 3 to get the lowest point, you should notice that the lowest point is now (0,3)