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:

Hi

Step-by-step explanation:

I have the same question, did you figure it out?

Answer:

39:65

Step-by-step explanation:

104/(3+5) = 104/8 = 13    13(3):13(5) =  39:65

The limit as g(x) approaches 11 doesn't exist.

[tex]\lim_{x \to 11} g(x) = DNE[/tex]

It looks like you are working with the following piecewise defined function:

[tex]g(x)=\left \{ {{-9;x<11} \atop {7;x\geq11}} \right.[/tex]

There is a rule in calculus that tells us that for a limit to exist, both lateral limits must be the same as x approaches a given value. This is:

[tex]\lim_{x \to a^{-}} f(x)=\lim_{x \to a^{+}} f(x)[/tex]

if and only if this is true, then:

[tex]\lim_{x \to a^{-}} f(x)=\lim_{x \to a^{+}} f(x)=\lim_{x \to a} f(x)[/tex]

if that condition isn't met, then the limit doesn't exist.

So let's calculate the lateral limits for this function:

[tex]\lim_{x \to 11^{-}} g(x) = -9[/tex]

This means that as x approaches 11 from the left, the function will return a value close to -9

Now, let's calculate the lateral limits for this function:

[tex]\lim_{x \to 11^{+}} g(x) = 7[/tex]

This means that as x approaches 11 from the right, the function will return a value close to 7

You can better visualize this in the graph of the function which I attached to this answer.

Notice that both lateral limits are different, from the left you got a -9 and from the right you got a 7. Therefore, according to the rule I wrote above, the limit does not exist.

For more information on this topic, you can go to the following link:

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Answer:

D) DNE

Step-by-step explanation:

edge 2021

Answer:

The answer is: B.)32.0–32.1 ounces

Step-by-step explanation:

Got it right on my test

The true statement is The median weight for both types is between 32.0 and 32.1 ounces.

Data is referred to as a collection of information gathered by observations, measurements, research, or analysis. It may comprise facts, figures, numbers, names, or even general descriptions of things. Data can be organized in the form of graphs, charts, or tables for ease in our study.

Given:

Brand A and brand B of frozen green beans both list a weight of 32 ounces on their bags.

The median weight for brand B is less than the median weight of brand A.

So, if both brands weigh 32 ounces then the median weight for both types is between 32.0 and 32.1 ounces.

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Answer:

D. 62 inches

Step-by-step explanation:

the object is symmetrical across z, so the lengths on the other side will be the same as x and y

the perimeter would just be 2x + 2y = 2(12) + 2(19) = 62 inches

Answer:

38.7°

Step-by-step explanation:

Let the angle we're looking for be called x.

Consider ΔADF (which consists of sides AD, FD and FA, and which contains the angle x.

tan(angle)=opposite/adjacent

tan(x)=FD/FA

x=tan⁻¹(12/15)=38.6598082541°≈38.7°

Therefore, the length of the angle be [tex]x=38.65[/tex] degree.

What is the trigonometry?

Trigonometry states that the trigo mean 'triangle', and metry means métron is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Here given that,

Let the length of the angle be [tex]x[/tex].

Consider Δ[tex]ADF[/tex]

which consists of sides [tex]AD, FD[/tex] and [tex]FA[/tex], and which contains the angle [tex]x[/tex].

So,

tan(x)=Perpendicular / Base

i.e.,

[tex]tan(x)=\frac{FD}{FA}\\\\tan(x)=\frac{FD}{FA}\\\\x=tan^{-1}(\frac{12}{15})\\\\x=38.65[/tex]

Hence, the length of the angle be [tex]x=38.65[/tex] degree.

To know more about the trigonometry

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Answer:

26.55

Step-by-step explanation:

[tex]a^2 + b^2 = c^2\\b^2 = c^2 - a^2[/tex]

use the b^2 equation

------------------------

b^2 = 31 squared - 16 squared.

b^2 = 705

b=[tex]\sqrt{705}[/tex]

b=26.5518361

9514 1404 393

Answer:

  x = 5

  FD = 22

Step-by-step explanation:

The products of the segment lengths on the same chord are the same.

  8×15 = 12×(3x -5)

  10 = 3x -5 . . . . . . . divide by 12 (we use this value to find FD)

  15 = 3x

  5 = x

__

FD = (3x -5) +12 = 10 +12

FD = 22

Answer: 4.44

HOPE THIS HELPS

Answer:

Dog Clients = 770

Cat Clients = 154

Step-by-step explanation:

1) We are given 5/6 and the number 924. To find the total dog clients, we need to multiply 5/6 by 924 = 770.

2) To find the cat clients, we subtract the dog clients (770) from the total amount of clients, which gives us 154

Answer:

D

Step-by-step explanation:

225 is the closest to point (200, 200)

Answer:

c

Step-by-step explanation:

trust

Answer:

90 students.

Step-by-step explanation:

Given 1/4 of the 120 students took woodshop, just take the 3/4 that didn't take it:

[tex]\frac{3}{4}(120)[/tex]

Find common factors between 4 and 120 to simplify, so 4.

[tex]\frac{3}{1} (30)[/tex]

Now multiple across to get 90.

Answer:

Rolling a sum of 8 from two dice is more likely

Step-by-step explanation:

To obtain which is more likely, we could obtain the individual probabilities of both events.

TWO DICE :

Sample space for 2 die rolls = total possible outcomes = 6² = 36

Number of favorable outcomes = sum of 8 from 2 rolls = 5

Probability = number of favorable outcomes / total possible outcomes

P(sum of 8) = 5 / 36 = 0.1388

THREE DICE :

Total possible outcomes = 6³ = 216

Number of favorable outcomes = 21

P(sum of 8) = 21 / 216 = 0.097222

0.1388 > 0.097222

Recall the ideal gas law:

P V = n R T

where

P = pressure

V = volume

n = number of gas molecules

R = ideal gas constant

T = temperature

If both n and T are fixed, then n R T is a constant quantity, so for two pressure-volume pairs (P₁, V₁) and (P₂, V₂), you have

P₁ V₁ = P₂ V₂

(since both are equal to n R T )

Solve for V₂ :

V₂ = P₁ V₁ / P₂ = (104.66 kPa) (525 mL) / (25 kPa) = 2197.86 mL

Answer:

[tex]36[/tex]

Step-by-step explanation:

1) Simplify 12 ÷ 2 to 6.

[tex]6 \times 6[/tex]

2) Simplify.

[tex]36[/tex]

therefor, the answer is 36.

Answer:

C. Heat always flow from warmer to cooler substances.

Answer:

I think it's 64 in

I hope it's helps you

Answer:B

Step-by-step explanation: i have the same test

Answer:

tell ur gf good luck because what this is

also no hablo español

Answer:

x-bar, the average between all the values, x1+x2+x3/3

Answer:

To find the perimeter, we want to find the circumference of the whole circle, divide by 2, and add the 24 inches to get the total perimeter.

A semicircle is half a circle. If the straight edge of the semi circle is 24 inches, that makes the diameter of the full circle 24 inches as well.  

To find the circumference of the full circle, we need the formula:

C = 2πr  

Circumference = 2 x pi x radius

Radius is half of the diameter, so 12 inches.

C = 2 x pi x 12

C = 75.36 inches

75.36 is the circumference of a circle with a diameter of 24 inches. Divide this by two to get 37.68 inches, which is the length of the round part of the mat. Adding 24 inches for the straight side gives you the final answer, 61.68 inches, or ABOUT 62 inches.

Answer:

-10m-9

Step-by-step explanation:

open the bracket by multiplication

-3 × 4m= -12m

-3 × 3= - 9

-12m - 9 +2m

arrange like terms together

-12m +2m -9

-10m -9

Answer:

13.93

Step-by-step explanation:

use the Pythagorean theorem

The answer is going to be B

10% of $200,000 = $20,000

Answer:

[tex]V=0.0623\ inch^3[/tex]

Step-by-step explanation:

Given that,

The radius of cylinder, r = 1/6 inch

The height of the cylinder, h = 5/7 inch

We need to find the volume of the cylinder. The formula for the volume of a cylinder is given by :

[tex]V=\pi r^2 h\\\\=3.14\times (\dfrac{1}{6})^2\times \dfrac{5}{7}\\\\V=0.0623\ inch^3[/tex]

So, the volume of the cylinder is equal to [tex]0.0623\ inch^3[/tex].

Answer:

[tex]b = 90[/tex]

[tex]c=80[/tex]

[tex]d =100[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find b, c and d

First, we solve for b using:

[tex]b + 10 + b - 10 = 180[/tex] --- base angles of a parallelogram

Collect like terms

[tex]b + b =180+10-10[/tex]

[tex]2b = 180[/tex]

Solve for b

[tex]b = 180/2[/tex]

[tex]b = 90[/tex]

Then, we have:

[tex]d =b + 10[/tex]

[tex]c = b - 10[/tex] --- opposite angles

So, we have:

[tex]d =90 + 10[/tex]

[tex]d =100[/tex]

[tex]c = 90 - 10[/tex]

[tex]c=80[/tex]