A population has a mean of 110.22 and a standard deviation of 5.68. For which sample size does 95% of the sample means fall within the interval between 109.08 and 111.36?
a. 100
b.80
c. 60
d. 120

Answer:

120 ways

Step-by-step explanation:

To solve this question, we would be using the law of combination.

In combination, we say that

nCr = n! / (n - r)! r!, where both r and n are integers.

Now, referring to question, we are asked how many ways we can arrange 3 toppings out of 10. This means we're looking for 10C3. Applying the earlier laid out formula, we have

10C3 = 10! / (10 - 3)! 3!

10C3 = 10! / 7! 3!

10C3 = 3628800 / 5040 * 6

10C3 = 3628800 / 30240

10C3 = 120

Therefore, the toppings can be arranged in 120 ways.

Leave a like if it helped you, please

Answer:

-6 or x = -6

Step-by-step explanation:

To solve -5x = 30, divide each side by -5.

-5x / -5 = x

30 / -5 = -6

x = -6

(negative times a negative = a positive)

Step-by-step explanation:

7

not equivalent

8

6.11 $

Answer:

Have a nice day!

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

Hi there!

This problem may seem tricky because of the negative sea level, os let’s set up an equation.

[tex]-275+x=-135[/tex] where x = the change in elevation.

Using orders of operations, add 275 to both sides and you will end with

x = 140

Her change in elevation is 140 feet.

I hope this helps!

Answer:

0.37%

Step-by-step explanation:

0.045 ÷ 12 = 0.37%

Answer:

23.7 -2.5 X 8 = 23.7 - 20

= 3.7

Answer:

12 pies

Step-by-step explanation:

To solve this problem, the best method will be to use a proportion! To set this proportion up, you must understand the values that the problem is giving you. The problem states that 7 cups of flour makes 3 pies. This wording tells us that those two values will both be on one side of the proportion. It does not matter which value is on top or bottom, as long as they are together on one side! For this problem, I'll set up the left side of the proportion like this:

[tex]\frac{3 p}{7f}[/tex]

Next, you'll include your third value and your x on the right side of the proportion. Make sure that your third value aligns with its matching value on the other side. For example, since our third value here is the 28 cups of flour, it must be on the bottom on the right side since your 7 cups of flour is on the bottom of the left side. This is what the proportion should now look like:

[tex]\frac{3p}{7f} = \frac{x}{28f}[/tex]

To solve, just cross multiply and divide! 3 times 28 is 84. Then, divide the 84 by the 7 and you'll get a final answer of 12 pies!

Answer:

4x+15y

Step-by-step explanation:

If you want it simplified

Answer:

17/16

Step-by-step explanation:

g(-12) = 1+3/48 = 1+1/16

The function of  g(x)= 1- 3/4x  the value of g(-12) is 1.0625.

Given:

g(x)= 1- 3/4x

g(-12) = 1-3/4x(-12)

g(-12) = 1-3/-48

g(-12) =1.0625

The function X to Y assigns exactly one element of Y to each element of X . The set X is called the range of the function and the set Y is called the code interval of the function.

A function is an equation that has only one answer for y for each x. A function specifies exactly one output for each input of a given type. It is common to call either f(x) or g(x) instead of the y function. f(2) means that we should find the value of our function when x is 2.

To learn more about function, refer;

https://brainly.com/question/9554035

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Answer:

Toilet rolls come in packs of 4 and 9.

The 4-pack is priced at £2.04.

The 9-pack is priced at £4.68.

By calculating the price per roll, determine which pack is better value. Show your working.

Answer:

47.8

Step-by-step explanation:

Given the data:

29; 31; 34; 40; 58; 67; 68; 69; 76; 80; 82; 95; 96; 96; 99; 106; 112; 127; 145; 150

Mean (m) = ΣX / n

n = sample size

ΣX = 1660

Mean = 1660 / 20

Mean (m) = 83

Standard deviation(s) : √(Σ(X - m)² / n-1)

Σ(X - m)² = (29-83)^2 + (31-83)^2 + (34-83)^2 + (40-83)^2 + (58-83)^2 + (67-83)^2 + (68-83)^2 + (69-83)^2 + (76-83)^2 + (80-83)^2 + (82-83)^2 + (95-83)^2 + (96-83)^2 + (96-83)^2 + (99-83)^2 + (106-83)^2 + (112-83)^2 + (127-83)^2 + (145-83)^2 + (150-83)^2

√(23608 / (20-1))

√23608/ 19

√1242.5263

= 35.249486

= 35.25

Mean -1(s)

83 -35.25

47.75

=47.8

Answer:

I think it's 1 and two for example 2 times 7 is 14

Step-by-step explanation:

Answer:

2 and 3.

Step-by-step explanation:

To get a product of an even number, you have to either multiply two even numbers together or multiply an even number and an odd number together.

There is only one even prime number- 2.

Therefore, you can have any pair of prime numbers that, when multiplied together, get an even number as long as one of those numbers is 2.

2 and 3 work, as well as 2 and 5. The list goes on and on. Just choose a random prime number (that's not 2) and pair it with 2. It is guaranteed that when you multiply those two numbers together, you will get an even number.

Answer:

Tina's height is x inches. She is shorter than her brother, whos height 56 inches.

Step-by-step explanation:

Let the height of Tina = x inches

and the height of her brother = 56 inches

if Tina is shorter than her brother then,

x < 56 inches

Answer:

-6/-2=-18/-6=54/-18

=3

Step-by-step explanation: -3 is the correct answer. -2x-3=6, 6x-3=-18,

-18x-3=54

Answer:

the answer is d or b need help

Answer:D

Step-by-step explanation:

AP3X

Given:

The degree of polynomial = 9

Leading coefficient is negative.

To find:

The end behavior of the polynomial.

Solution:

Let the polynomial be P(x).

We have,

Degree of polynomial = 9, which is odd.

Leading coefficient is negative.

If the degree of a polynomial is odd and leading coefficient is negative, then

[tex]P(x)\to \infty\text{ as }x\to -\infty[/tex]

[tex]P(x)\to -\infty\text{ as }x\to \infty[/tex]

Therefore, the end behavior of the given polynomial is [tex]P(x)\to \infty\text{ as }x\to -\infty,P(x)\to -\infty\text{ as }x\to \infty[/tex].

Answer:

5/3

Step-by-step explanation:

Trigonometric ratio

Cot θ = Adjacent side/Opposite side

It is given that,

Cot θ  = 4/3

Adjacent side = 4

Opposite side = 3

Csc θ = Hypotenuse/Opposite side

To find the Hypotenuse

Hypotenuse² = Opposite side² + Adjacent side ² = 3²+ 4²

Hypotenuse = √(3²+ 4²) = 5

To find Csc θ

Csc θ = Hypotenuse/Opposite side = 5/3

Answer:

Option D

Step-by-step explanation:

Answer: 8 1/3

Step-by-step explanation:

100/12 = 8.33333333

8 4/12

8 1/3

Answer:

300 meters

Step-by-step explanation:

250+150+50+x=750

450+x=750

x=750-450=300

Answer:

f(x)= ?

Step-by-step explanation:

0         3          

1         4

2           7

3            12

a 16% tip is left on a 42.50 lunch bill. How much is paid altogether

[tex]42.50 + 42.50 \times 16\%[/tex]

[tex] = 42.50 + 42.50 \times 0.16[/tex]

[tex] = 42.50 + 6.8[/tex]

[tex] = 49.3[/tex]

$49.30 is paid altogether

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Answer:

$72.00

Step-by-step explanation:

Answer:

$72

Step-by-step explanation:

I hope this helps!

Answer:

15

Step-by-step explanation:

The answer is 15!

I've taken the test. Hope this helps

Answer:

9 x 3 =27

Step-by-step explanation:

Answer:

13.5

Step-by-step explanation:

if you divdie 27 by 2 you get 13.5.

Answer:

5,10,15,20,25,30,35,40,45,50

Step-by-step explanation:

Answer:

150

Step-by-step explanationtion

jk i just want my points

Answer:

30 = 2

60 = 4

90 = 6

120 = 8

Step-by-step explanation:

60/4 = 15

15 = 1

30 = 2

45 = 3

60 = 4

75 = 5

90 = 6

105 = 7

120 = 8

Answer:

1. 8 + 13 = 13 + 8.

2. 6 + ( 12 + 4) = 6 + ( 4 + 12).

Step-by-step explanation:

Answer:

The Commutative Property of Addition is changing the order of the numbers to get the sum, but not changing the actual sum itself.  

The Associative Property of Addition is the allowance of being able to re-group numbers and still get the same sum, or answer.