If the quarter note equals one beat, how many beats would this note be worth?

Answer:

a

The confidence interval for the population variance is ​[tex] 5.49 < \sigma^2 < 37.02 [/tex]  

The correct option is  C

b

The confidence interval for the population standard deviation is [tex] 2.34 < \sigma < 6.08 [/tex]

The correct option is  A

Step-by-step explanation:

From the question we are told that

    The sample size is  n =  14

    The standard deviation is  [tex]s = \$3.42[/tex]

Generally the degree of freedom is mathematically represented as

     [tex]df =  14 -1[/tex]

=>   [tex]df =  13 [/tex]    

Given that the confidence level is  98%  then that level of significance is  

     [tex]\alpha = (100 -98) \%[/tex]

=>  [tex]\alpha = 0.02[/tex]

Generally the 98% confidence interval for the variance  is mathematically represented as

     [tex]\frac{(n- 1) s^2}{x^2 _{[\frac{\alpha }{2} , df]}}  < \sigma^2 < \frac{(n- 1) s^2}{x^2 _{[1- \frac{\alpha }{2} , df]}}[/tex]

=> [tex]\frac{(14- 1) (3.42)^2}{x^2 _{[\frac{0.02 }{2} , 13]}}  < \sigma^2 < \frac{(14- 1) (3.42)^2}{x^2 _{[1- \frac{0.02 }{2} , 13]}}[/tex]

From the chi -distribution table  

     [tex]x^2 _{[1- \frac{0.02 }{2} , 13]} = 4.107[/tex]

and

    [tex]x^2 _{[\frac{0.02 }{2} , 13]} = 27.689[/tex]

So

=> [tex]\frac{(14- 1) (3.42)^2}{27.689}  < \sigma^2 < \frac{(14- 1) (3.42)^2}{4.107}[/tex]    

=> [tex] 5.49 < \sigma^2 < 37.02 [/tex]    

Generally the 98% confidence interval for the standard deviation   is mathematically represented as

   [tex]\sqrt{\frac{(n- 1) s^2}{x^2 _{[\frac{\alpha }{2} , df]}}}   < \sigma <\sqrt{ \frac{(n- 1) s^2}{x^2 _{[1- \frac{\alpha }{2} , df]}}}[/tex]

=> [tex]\sqrt{5.49}  < \sigma < \sqrt{37.02 }[/tex]

=> [tex] 2.34 < \sigma < 6.08 [/tex]

Answer:

0.6 in

Step-by-step explanation:

Scale of drawing = ½ inch to 15 ft (½ in : 15 ft)

That is, ratio of the width on paper to actual width.

Given an actual width of 18 ft, the width of the stage on paper can be calculated as shown below:

½ in : 15 ft = x in : 18 ft

[tex] \frac{\frac{1}{2}}{15} = \frac{x}{18} [/tex]

[tex] \frac{1}{2}*\frac{1}{15} = \frac{x}{18} [/tex]

[tex] \frac{1*1}{2*15} = \frac{x}{18} [/tex]

[tex] \frac{1}{30} = \frac{x}{18} [/tex]

Cross multiply

[tex] 30*x = 18*1 [/tex]

[tex] 30x = 18 [/tex]

Divide both sides by 30

[tex] \frac{30x}{30} = \frac{18}{30} [/tex]

[tex] x = \frac{18}{30} = \frac{6}{10} [/tex]

[tex] x = 0.6 [/tex]

Width of the stage in scale drawing = 0.6 in

Answer:

quotient of 11/4 to be divided by 21 /1/4

gives you 7/8/11

(6) 2xº = 86º  ==>  x = 43

(7) 108º = 3xº  ==>  x = 36

(8) 72º = 4xº  ==>  x = 18

(9) 111º = (x + 21)º  ==>  x = 90

Answer:

1.

2x=86

x=43

2.

3x=108

x=36

3.

4x=72

x=18

4.

x+21=111

x=90

Answer:

A and E

Step-by-step explanation:

x² = 81

~Take the square root of both sides

x = ±9

Best of Luck!

Answer:

The answer is a and e

Step-by-step explanation:

Answer: It's true because 3+3+6 = 12 and a triangle has 3 sides and 12/3 is 4 that's why a triangle can be fored with these measurments.

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

It would be classified as an isosceles triangle.

Hope this helps!

Answer:

x=-3

Step-by-step explanation:

5(x - 4) + 3x - 9x = 6 - (2x + 5) + 8x

(remove parentheses)

5x-20+3x-9x=6-2x-5+8x

(collect like terms and calculate)

-x-20=1+6x

(move the terms)

-x-6x=1+20

(collect like terms and calculate)

-7x=21

(divide both sides)

x=-3

(your answer :))

Answer:

×=126+28

=154 degrees

Answer:

900

Step-by-step explanation:

natural numbers are all positive numbers that dont include 0

Answer:

1.5652173913 words per minute.

Step-by-step explanation:

When you divide 36 words/ 23 minutes, you get 1.5652173913.

Answer:

n=1, :) :P UwU TwT -_-

Answer:

n = 1

Step-by-step explanation:

n-13=-12

n-13-(-12)=0

n-1=0

n=1

Answer:

yes, lets see...no that is not a function.

Step-by-step explanation:

no explanation...that's where your on your own, sorry. (its very hard to explain,

but i know that its impossible to have a function like THAT)

Answer:

no because there are 2 lines on the same x axis

Step-by-step explanation:

Answer: The equation cannot be simplified any further.

Explanation: The variable(t) is greater than any number than negative five.

Plz mark brainliest:)

Answer: r = - 8/3

Step-by-step explanation: im pretty sure thats the write answer

Answer:B

Step-by-step explanation:

Answer: |2-5|

Step-by-step explanation:

That is the CORRECT answer. I swear ONG

Answer: I think its 0.55

Step-by-step explanation: if you do 25 times 0.55 because quarter's are 25 cents it equals 13.75

The number of quarters in the piggy bag will be 55.

Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure. Unit conversion is the process of changing a quantity's measurement between different units, frequently using multiplicative conversion factors.

Given that Dominique has $13.75 in her piggy bank. All of the money is quarters.

The number of the quarters will be calculated as:-

1 dollar ⇒ 4 quarters

13.75 dollars ⇒ 13.75 x 4 quarters

13.75 dollars ⇒ 55 Quarters

Therefore, the number of quarters in the piggy bag will be 55.

To know more about unit conversion follow

https://brainly.com/question/15661961

#SPJ6

Answer:

14xy/(10x+7y)^

Step-by-step explanation:

Answer:

Yes, they cancel each other out.

Step-by-step explanation:

Personally never liked the keep, change, change method. Pemdas is what I use, however this is an easy one so nothing so major.

Answer:

4 hours

Step-by-step explanation:

We can find the time using the formula [ t = d/s ] where d = distance and s = speed.

t = 2000/500

t = 4 hours

Best of Luck!

Answer:

wheres the stament

Step-by-step explanation:

Answer:

huh

Step-by-step explanation:

9514 1404 393

Answer:

  72

Step-by-step explanation:

Substitute 6 for x in the equation and do the arithmetic.

  y = 12x

  y = 12·6 = 72

John earns 72 money units in 6 hours.

Answer:

The answer to this question is C.

Step-by-step explanation:

All that you have to do is multiply the exponents.

Answer:

 7y + 9

Step-by-step explanation:

Given expression:

     3(2y + 3) + y;

  To solve this problem, apply PEMDAS;

P   = parentheses

E    = exponent

M   = multiplication

D    = division

A     = addition

S      = subtraction

   3(2y + 3) + y;

 Start solving from the parentheses by applying the distributive property;

  6y + 9 + y

  =  7y + 9

Answer: 2,9

(3,3) & (-2,6) midpoints

Answer:

(0.5,4.5)

Step-by-step explanation:

Use the midpoint formula to find the answer: ((x1+x2/2),(y1+y2/2))

((3-2/2),(3+6/2))

((1/2),(9/2))

(0.5,4.5)

Answer:

Multiply 64 x 5280

Step-by-step explanation:

Answer:

64 mi/h = 93.9 ft/s I have the answer guide

Answer:

2/7

Step-by-step explanation:

Answer:

3/5 * 10/21= 2/7

Answer:

[tex]D(x,y) = (-1.5,3.5)[/tex]

Step-by-step explanation:

Given

[tex]E = (-3,2)[/tex]

[tex]F = (3,8)[/tex]

[tex]ED: DF = 1 : 3[/tex]

Required

Determine the coordinates of D

This is calculated as thus:

[tex]D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

Where:

[tex](x_1,y_1) = (-3,2)[/tex]

[tex](x_2,y_2) = (3,8)[/tex]

[tex]m:n = 1:3[/tex]

[tex]D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

[tex]D(x,y) = (\frac{1 * 3 + 3 *-3}{1+3},\frac{1 * 8 + 3 * 2}{1+3})[/tex]

[tex]D(x,y) = (\frac{-6}{4},\frac{14}{4})[/tex]

[tex]D(x,y) = (-1.5,3.5)[/tex]