A teacher buys packs of notebooks to give to his students. The ratio of gold notebooks to red notebooks is represented in the tape diagram.

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:

48

Step-by-step explanation:

First, in this problem, you would assume that there are five numbers to multiply since Dwayne played 5 games.  

In the first blank, he could choose any move, and there are three, rock, paper, and scissors. In the first blank, you would put 3. Then, since you already picked one, you can't repeat it, so you would end up with 2 for the second blank. Continuing with the next blanks, the third, fourth, and fifth spaces would be 2 choices because you cannot have the one choice you chose previously. In the end, the blanks would look somewhat like this:

3    2    2    2    2

And you would multiply all the numbers.

3  x  2  x  2  x  2  x  2

                                                                  = 6 x 8

                                                                  = 48

Answer:

b. As the sample size â increases, the variance of decreases. â So, the distribution of becomes highly concentrated around.

Step-by-step explanation:

Let : Yi,.... Yn are = i.i.d are random variables. The probability density of the distribution varies along with the sample size. When the sample size changes, the probability density of [tex]$E^3$[/tex] also changes.

The probability distribution may be defined as the statistical expression which defines the likelihood of any outcome for the discrete random variable and it can be opposed to the continuous random variable.

In the context, when the size of the sample of the distribution size increases, it causes a decrease in the variance and so the distribution becomes highly concentrated around.

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:

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: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: to move a graph up c units, add c to the whole function

so basicaly what you did is you subtraced 3 from the whole function

the whole graph shifts 3 units down

B is answer

Step-by-step explanation:

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:

D

Step-by-step explanation:

Has only one point on the x- axis.

Answer:

Answer and steps are in picture.

Answer: 7767788877787887+-77-7

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:

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

Answer:

B. AA

Step-by-step explanation:

The diagram given shows that two angles in ∆ABC are congruent to two corresponding angles in ∆STU.

Invariably, the third unknown angle of both triangles would also be equal going by the third angle theorem.

Thus, based on the AA Similarity Theorem which says that two triangles are similar to each other if two corresponding angles of one is congruent to two angles in the other, ∆ABC ~ ∆STU.

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:

D) The revised interval is wider than the original interval because the corect sample proportion is closer to 0.5 than the mis-calculated proportion is.

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].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The larger the closer to 0.5 the value of [tex]\pi[/tex], the larger the margin of error and the wider the interval is.

A biologist studying trees constructed the confidence interval (0.14, 0.20)

This means that the estimate used was of:

[tex]\pi = \frac{0.14 + 0.2}{2} = \frac{0.34}{2} = 0.17[/tex]

The correct sample proportion was 0.27.

With [tex]\pi = 0.27[/tex], the margin of error is larger as 0.27 is closer to 0.5 than 0.17. Thus, the revised interval will be wider, and the correct answer is given by option D.

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:

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:

[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:

(8,3)

Step-by-step explanation:

Hello There!

This is the rule for reflection over y axis:

(x,y) -----> (-x,y)

So if the point (-8,3) we're to reflect over the y axis then the x value would stay the same but the sign would flip

So instead of -8 it would be +8

The y value does not change so the new coordinates would be

(8,3)

Answer:

r ≈ 2.5

Step-by-step explanation:

98 = 5(πr^2)

divide 5 by both sides

19.6 = πr^2

divide π by both sides

6.2388 = r^2

square root both sides

r = 2.49777

r ≈ 2.5

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:

10,454,400 sec

Step-by-step explanation:

1Day=24hr

1hr=60min

1min=60sec

121 days=121*24*60*60=10,454,400sec

Answer:

20 ft

Step-by-step explanation:

Step-by-step explanation:

f=1/g

4=1/-6

=-24

find f

f=1/-6

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 :)

Answer:

Step-by-step explanation:

Length (L) = 8cm

Breadth (B) = 4cm

Height (H) = 3cm

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

Volume = L × B × H

= 8 × 4 × 3

= 96cm³