Find the area of the trapezoid. Round your answer to the nearest hundredth.

Answer:

The 99% confidence interval for the mean diameter of pieces from this machine is between 0.93 and 1.07.

Step-by-step explanation:

Sample mean:

Sum of all values divided by the number of values. So

[tex]M = \frac{1.01+0.97+1.03+1.04+0.99+0.98+0.99+1.01+1.03}{9} = 1[/tex]

Sample standard deviation:

Square root of the sum of the differences between each value and the mean, divided by the 1 less than the sample size. So

[tex]s = \sqrt{\frac{(1.01-1)^2+(0.97-1)^2+(1.03-1)^2+(1.04-1)^2+(0.99-1)^2+(0.98-1)^2+(0.99-1)^2+(1.01-1)^2+(1.03-1)^2}{8}} = 0.0657[/tex]

Confidence interval:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

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 = 9 - 1 = 8

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 3.355

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 3.355\frac{0.0657}{\sqrt{9}} = 0.07[/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 1 - 0.07 = 0.93

The upper end of the interval is the sample mean added to M. So it is 1 + 0.07 = 1.07

The 99% confidence interval for the mean diameter of pieces from this machine is between 0.93 and 1.07.

Answer:

20 ft

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

7 times 3 equals 21 so that means if you subtarct 14 it would equaal to 7

Answer:

8 months because 2/3 times 12 is 8.

Answer:

2y^(10)

Step-by-step explanation:

Answer:

y^13

Step-by-step explanation:

Answer:

[tex]100\ \text{ft/mi}[/tex]

Step-by-step explanation:

Elevation of the head of the stream is 2,200 feet above sea level

Elevation of the mouth of the stream is 1,000 feet

Rise = [tex]2200-1000=1200\ \text{ft}[/tex]

Distance between the two points = [tex]63360\ \text{ft}=\dfrac{63360}{5280}=12\ \text{mi}[/tex] = Run

Gradient is given by

[tex]\dfrac{\text{Rise}}{\text{Run}}=\dfrac{1200}{12}\\ =100\ \text{ft/mi}[/tex]

The gradient of the slope the stream is flowing over is [tex]100\ \text{ft/mi}[/tex].

Answer:

Im not sure im sorry if i got it wrong but my guess is 1234 :/

Step-by-step explanation:

Answer:

4132

Step-by-step explanation:

1).4,132 (four thousand one hundred thirty-two) is an even four-digits composite number

2). 4 + 1 + 3 + 2 = 10

3). each number is greater than 0

4). 4+1= 5 3+2= 5

5). 4 is the gretes number in 4132

nice

i think there's supposed to be more to the problem lol

???

No question but I gonna answer anyway.

The total number of km she ran in 3 days = 13 x 3=39.

Answer:

C. [tex]\ln z = 5.6157 + i\,\pi[/tex]

Step-by-step explanation:

Let [tex]z = a + i\,b[/tex], [tex]\forall\, a, b\in \mathbb{R}[/tex], the natural logarithm of a this number is:

[tex]\ln z = \ln \|z\|+i\, \theta[/tex] (1)

Where:

[tex]\|z\|[/tex] - Norm of the complex number, no units.

[tex]\theta[/tex] - Direction of the complex number, in radians.

The norm and direction of the complex number are both defined by:

[tex]\|z\| = \sqrt{a^{2}+b^{2}}[/tex] (2)

[tex]\theta = \tan^{-1}\left(\frac{b}{a} \right)[/tex] (3)

If we know that [tex]z = -274.7 +\,i \, 0[/tex], then the natural logarithm of this number is:

[tex]\|z\| = 274.7[/tex], [tex]\theta = \pi\,rad[/tex]

[tex]\ln z = \ln \|z\|+i\, \theta[/tex]

[tex]\ln z = 5.6157 + i\,\pi[/tex]

Hence, correct answer is C.

Answer:  Where is question?

Step-by-step explanation:

Answer:

Answer: X is equal to -1

Step-by-step explanation:

1-2(2X+1)=1-(X-1)

1-4X-2=1-X+1

-1-4X=2-X

-4X+X=2+1

-3X=3

X=-1

P.S. Could you please give me 'brainliest')))

Answer:

71 degrees, Acute angle

Step-by-step explanation:

From the question, the equation for the Angle is given to be 19x-5, given in degrees and they want to find the value of the angle when the variable X is equal to 4.

All we need to do is change X with 4 in this equation to get

(19x4)-5) Now we just need to do some basic arithmetic to find out the value.

(76-5)=71, So 71 degrees. Now let's classify all the types of angles

1-89 degrees is a acute angle

90 degrees Is a right angle

91-179 is a obtuse angle

180 is a Straight angle

181-359 is a reflex angle

360 is a full turn.

Notice how our 71 degree angle falls into the category of a acute angle (1-89)

So our final Answer is that the angle is 71 degrees and a acute angle.

Answer:

∠ P = 71° and is acute

Step-by-step explanation:

Acute angle is between 0° and 90°

Right angle = 90°

Obtuse angle is between 90° and 180°

Straight angle = 180°

Given

∠ P = 19x - 5 ← substitute x = 4

      = 19(4) - 5 = 76 - 5 = 71° ← acute angle

Answer:

You can use x as the variable.  x≤1

Step-by-step explanation:

Step-by-step explanation:

x = 2 and 8

hope this helps

Answer:

C

Step-by-step explanation:

The ultimate aim of a Buddhist disciple is to reach peace, or nirvana. To do so, the Buddha preached to give up worldly desires. So, the answer is C. Good luck ^^

Answer:it’s A

Step-by-step explanation: it is tangent because it is adjacent side and opposite. the equation is 50°tan90

Answer:

A: 50°tan 90

Step-by-step explanation:

It is tangent because it is adjacent side and opposite the equation is 50°tan 90

Answer:

Step-by-step explanation:

20 = 5y

4=y

x+3y = 2(x+y-1)

x+3y = 2x +2y -2

x+3(4) = 2x + 2(4) -2

x +12 = 2x +8 -2

12-8+2 = 2x -x

6 =x

The values of x and y that makes the polygon a parallelogram is 6 and 4 respectively.

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal, and opposite angles equal.

Given is a polygon,

We know opposite sides of a parallelogram are equal,

Therefore,

5y = 20

y = 20/5

y = 4

And,

Putting y = 4, in x+3y = 2(x+y-1)

x+12 = 2(x+3)

x+12 = 2x+6

x = 12-6

x = 6

Hence, The values of x and y that makes the polygon a parallelogram is 6 and 4 respectively.

For more references on parallelograms, click;

https://brainly.com/question/19187448

#SPJ2

Answer:

-243, 729

Step-by-step explanation:

pattern is to multiply by -3 to get next number

Answer:

8 hours

Step-by-step explanation:

−0.75x + 18 = -x+20

0.25x = 2

x = 8

Answer:

Step-by-step explanation:

Length (L) = 8cm

Breadth (B) = 4cm

Height (H) = 3cm

........................................

Volume = L × B × H

= 8 × 4 × 3

= 96cm³

Answer:

55°

Step-by-step explanation:

The angle is part of a 90° angle, so you do 90°-35° to get 55°.

Give branliest please. :)

Answer:

90 degrees - 35 degrees = x degrees, this will give you 55 degrees

Answer:

89.8ft

Step-by-step explanation:

678-672=6, the value for line ZW

Using Pythagoras theorem, then t²+6²=90²

t²=90²-6²

t²=8100-36

√t²=√8064

t=89.8ft

Answer:

50 degrees

Step-by-step explanation:

It is opposite of angle CGD so therefore it is congruent to CGD which makes it 50 degrees

Answer:

C) is the correct answer

Step-by-step explanation:

In order to find an average, you need to add x, y, and z and then divide them by 3 because there are 3 test scores, and x, y, and z represent the grades for each test. This is why C) x+y+z/3 is correct.

Answer:

the range is :

10 , 74 , 78 , 102

3 , 4 , 4 , 5 , 17

1.2, 1.2 , 3.2 , 3.5 , 3.6 , 6.5 , 8.2 , 9.2

Step-by-step explanation:

Answer: 34 of them do

Step-by-step explanation: It says that 22 of them compete in the fox-trot and then it says 18 compete in the tango and then at the end it says that 6 compete in both. Based on what that said I can confirm that it's 36 because  the question they want us to answer is only the ones who do fox-trot or tango not both

Hope this helps :)

Answer:

22+18-6=34

Step-by-step explanation:

Let's call F the set of dancers who dance fox-trot (not necessarily just that, they may also dance something else, what's important is that, amongst other things, they also dance fox-trot), and T the set of dancers who dance tango.

We know that F has 22 elements, T has 18, and the intersection of sets F and T (e. g. those who dance both tango and fox trot) has 6 ones.

Now, let's take a further look at how those sets are made up.

Let's take set F, for example. In it, there is some number of dancers who dance only fox trot, and some others who dance both fox trot and tango.

Similarly, set T is made up of those who dance only tango and those who dance both fix trot and tango.

Therefore, if we were to add those sets together, we would get the number of those who only dance tango, plus the number of those who only dance fox trot, plus two times the number of those who dance both.

We can make up for that, and get the desired result, by subtracting the union of sets F and T from their sum.

Hope this was a clear explanation :)