A number cube is rolled 35 times and the results are recorded in the table.A goodness-of-fit chi-square test is to be used to test the null hypothesis that the cube is fair. At a significance level of α = 0.05, what is the value of chi-square and the appropriate conclusion?

Answer:

64,120 written as 6.412 x 10^4 in scientific notation

Answer:

X > 2

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Step-by-step explanation:

Here

Now,

[tex]\\ \tt\hookrightarrow AB=\sqrt{(-2-1)^2+(6-2)^2}[/tex]

[tex]\\ \tt\hookrightarrow AB=\sqrt{(-3)^2+(4)^2}[/tex]

[tex]\\ \tt\hookrightarrow AB=\sqrt{9+16}[/tex]

[tex]\\ \tt\hookrightarrow AB=\sqrt{25}=5units[/tex]

And,

[tex]\\ \tt\hookrightarrow BC=\sqrt{1+2)^2+(2+2)^2}[/tex]

[tex]\\ \tt\hookrightarrow BC=\sqrt{(3)^2+(4)^2}[/tex]

[tex]\\ \tt\hookrightarrow BC=\sqrt{9+16}[/tex]

[tex]\\ \tt\hookrightarrow BC=\sqrt{25}=5units[/tex]

And

[tex]\\ \tt\hookrightarrow AC=\sqrt{(-2+2)^2+(6+2)^2}[/tex]

[tex]\\ \tt\hookrightarrow AC=\sqrt{(0)^2+(8)^2}[/tex]

[tex]\\ \tt\hookrightarrow AC=\sqrt{8^2}=\sqrt{64}=8units[/tex]

Now

[tex]\\ \tt\hookrightarrow perimeter=5+5+8=18units[/tex]

Answer:

a) The lower bound of the confidence interval is below 4.50 minutes, which means that there is not sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence.

b) The null hypothesis is [tex]H_0: \mu \leq 4.50[/tex], and the alternate hypothesis is [tex]H_a: \mu > 4.50[/tex]

Step-by-step explanation:

Finding the confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.01 = 0.98[/tex], so Z = 2.327.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.327\frac{2.1}{\sqrt{53}} = 0.67[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 4.94 - 0.67 = 4.27 minutes

The upper end of the interval is the sample mean added to M. So it is 4.94 + 0.67 = 5.61 minutes.

a. Is there sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence?

The lower bound of the confidence interval is below 4.50 minutes, which means that there is not sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence.

b. State the null and alternative hypotheses for the test.

Testing if there is evidence to say that the mean wait time for customers is longer than 4.50 minutes, which is the alternate hypothesis.

So the null hypothesis is [tex]H_0: \mu \leq 4.50[/tex], and the alternate hypothesis is [tex]H_a: \mu > 4.50[/tex]

Step-by-step explanation:

A and 3

B and 1

C and 4

D and 2

I hope this helps :)

Answer:

r = 6 cm

Step-by-step explanation:

C = 2πr

12π = 2πr

12π/2π = 2πr/2π

(The mistake is in the next step when calculating the division.

12π/2π = 6, same way 2πr/2π = r and NOT πr)

6 = r

r = 6 cm

Answer:

In which step did the student make an error?

Step

✔ 4

.

Solving for r, the length of the radius should be

✔ 6

cm.

Step-by-step explanation:

Answer:

hi the answer is 7.3

Step-by-step explanation:

hope it helps you have a good day

Answer:

Factorise 18a²y - 27ay

=9ay(2a-3)

Step-by-step explanation:

9ay(2a-3)

hope it is helpful to you

Answer:

700 runners

Step-by-step explanation:

Answer:

She will save $3.60

Step-by-step explanation:

10% of 24= 2.4

5% of 24 = 1.2

2.4 + 1.2= 3.6

This means she is saving $3.60 because 15% of $24 is $3.60! :)

Jana save $3.6 to buy a shirt.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The shirt is normally $24, but today it is on sale for 15% off.

Now,

Since, The shirt is normally $24, but today it is on sale for 15% off.

Hence, The save money = 15% of 24

                                       = 15/100 × 24

                                       = $3.6

Thus, She save $3.6 on the shirt.

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Answer:

d=14in

Step-by-step explanation:

Solution

d=2r=2·7=14in

Hope this helped!!!

9514 1404 393

Answer:

  x = -9 (as you know)

Step-by-step explanation:

  [tex]\log_6\dfrac{1}{6}=\dfrac{x}{9}\\\\\log_6{(6^{-1})}=\dfrac{x}{9}\\\\-1=\dfrac{x}{9}\\\\x=(-1)(9)=\boxed{-9}[/tex]

_____

I find it helpful to remember that a logarithm is an exponent.

  [tex]\log_a(a^b)=b[/tex]

Answer: I dunnu what ur tryna do but i think x= 27y/2 and y= 2x/27

Step-by-step explanation:

Here we want to make a system of equations and solve it, in this way, we will see that there are 8 black sheep.

first, let's define the variables:

x = number of black sheep

y = number of white sheep.

We know that:

"there are 56 sheep"

Then we can write:

[tex]x + y = 56[/tex]

We also know that there are 6 times as many white sheep than black sheep, this means that:

[tex]y = 6 \cdot x[/tex]

Then we have a system of equations:

[tex]x + y = 56[/tex]

[tex]y = 6\cdot x[/tex]

To solve this we need to start by isolating one of the variables in one of the equations. Here, we can see that the variable y is already isolated in the second equation, so we can use that.

Now we can replace that variable in the other equation:

[tex]x + y = 56[/tex]

[tex]x + 6\cdot x = 56[/tex]

Now we can solve this for x, the number of black sheep:

[tex]7\cdot x = 56\\\\x = 56/7 = 8[/tex]

There are 8 black sheep.

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The solid from the net is a cube

Answer: Cube

A cube has 6 faces, which makes this net accurate.

9514 1404 393

Answer:

  x = 15

Step-by-step explanation:

Chords equidistant from the circle center subtend the same arc measure. The sum of the three arcs of the circle is 360°, so you can write the relation ...

  2(10x -23)° +106° = 360°

  2(10x -23) = 254 . . . . . . . . divide by °, subtract 106

  10x -23 = 127 . . . . . . . . . divide by 2

  10x = 150 . . . . . . . . . . add 23

  x = 15 . . . . . . . . . . . divide by 10

Answer:

Length of MN = 65.68 feet (Approx.)

Step-by-step explanation:

Given:

Height of NO = 60 feet

Angle ∠M = 66°

Find:

The length of MN

Computation:

Given triangle is a right angled triangle

So,

NO is a perpendicular

MN is hypotenuse

Using trigonometry functions

Sin θ = Perpendicular / Hypotenuse

Sin 66 = NO / MN

0.9135 = 60 / Length of MN

Length of MN = 60 / 0.9135

Length of MN = 65.68 feet (Approx.)

Answer: approximately 65.6782 = 65.7

Step-by-step explanation:

Answer:

<D = 147 degrees

AB = 14

BC = 12

Step-by-step explanation:

From the given parallelogram;

<A and <D are supplementary, hence;

<A + <D = 180

33 + <D = 180

<D = 180 - 33

<D = 147 degrees

Since AB = CD

Hence AB = 14

Also since BC = AD, BC = 12

This shows that the opposite side of the parallelogram are parallel

Answer:

The Bell Boeing V-22 Osprey is an American multi-mission, tiltrotor military aircraft ... However, the V-22 is generally not capable of hovering on one engine.

8300 is the product of 8.31 and 1,000

Multiplication is a method of finding the product of two or more numbers

We need to find the product of 8.31 and 1,000.

product of Eight point three one and thousand.

In the given numbers 8.31 is a decimal number and 1000 is a whole number.

To multiply both let us make thousand as a whole number by placing two zeros on right side of 1000 with a point.

1000.00

 ×  8.31

_________

8310

Hence, 8300 is the product of 8.31 and 1,000

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Answer:

fish stick :DDDD  funny

Step-by-step explanation:

4z +6v = 12z + 6v = 12   :? there is something fishy going on here   :/ what did you mean to ask in the question??

Step-by-step explanation:

Let $p be the original price.

[tex](1 - 25\%)p = 30 \\ \frac{75}{100}p = 30 \\ p = 40[/tex]

∴ The original price is $40.

Answer:

The terai region extends from the chure range in the north to the border of India in the south.lt covers 17 percent of total land of Nepal .this terai region is mostly flat and plain with alluvial fertile deposited by the rivers . the climate of the reason is hot and wet in summer and cold and dry in winter.Terai also called the granary of Nepal as more than half percent of people of Nepal depend on the vegetation of Terai region. Terai is plain, where more cultivation is possible. Cultivation is impossible in mountain region due to difficult topography and temperate region and even in hilly region with lots of vegetation it's not possible due to slope area. Terai is only the possible region where much cultivation is possible. Different kinds of vegetation, valuable medicinal herbs, important trees, etc. are found in Terai region. So, Terai region is called the granary of Nepal.The terai region extends from the chure range in the north to the border of India in the south.lt covers 17 percent of total land of Nepal .this terai region is mostly flat and plain with alluvial fertile deposited by the rivers . the climate of the reason is hot and wet in summer and cold and dry in winter.Terai also called the granary of Nepal as more than half percent of people of Nepal depend on the vegetation of Terai region. Terai is plain, where more cultivation is possible. Cultivation is impossible in mountain region due to difficult topography and temperate region and even in hilly region with lots of vegetation it's not possible due to slope area. Terai is only the possible region where much cultivation is possible. Different kinds of vegetation, valuable medicinal herbs, important trees, etc. are found in Terai region. So, Terai region is called the granary of Nepal.The terai region extends from the chure range in the north to the border of India in the south.lt covers 17 percent of total land of Nepal .this terai region is mostly flat and plain with alluvial fertile deposited by the rivers . the climate of the reason is hot and wet in summer and cold and dry in winter.Terai also called the granary of Nepal as more than half percent of people of Nepal depend on the vegetation of Terai region. Terai is plain, where more cultivation is possible. Cultivation is impossible in mountain region due to difficult topography and temperate region and even in hilly region with lots of vegetation it's not possible due to slope area. Terai is only the possible region where much cultivation is possible. Different kinds of vegetation, valuable medicinal herbs, important trees, etc. are found in Terai region. So, Terai region is called the granary of Nepal.

Answer:

B. A square

Step-by-step explanation:

Answer:

B. 7√3

Step-by-step explanation:

30-60-90 triangles have special side proportions that would be very beneficial to memorize because I guarantee you will use it in the future.

Please see the attached image.

The answer is 7*√3=7√3

Answer:

12.85, 12.86, 12.87, 12.88, 12.89, 12.90, 12.91, 12.92, 12.93, and 12.94

Step-by-step explanation:

there is none

Answer:

I think its B.

Step-by-step explanation: