Find the LCM of 8 and 12. 12 8 24 96

The mayor of Chicago is known for being a great host, and he puts a lot of time into preparing for events. For the mayor's next

LenaWriter [7]

Answer:

D) 3768 inches

Step-by-step explanation:

Given,

No. of plates = 100

Diameter of each plate = 12inches

So, radius of each plate = 12 / 2 = 6 inches

So, circumference of each plate

$= 2\pi \: r$

= 2 × 3.14 × 6 inches

= 37.68 inches

Hence, circumference of 100 plates = 100 × 37.68 inches

= 3768 inches

Hence, <u>3768 inches</u> of gold trim is required (Ans)

4 0

3 years ago

A pair of fair dice is cast. Let Edenote the event that the number landing uppermost on the first die is a 1 and let Fdenote the

iris [78.8K]

Answer:

They are not independent

Step-by-step explanation:

Given

E = Occurrence of 1 on first die

F = Sum of the uppermost occurrence in both die is 5

Required

Are E and F independent

First, we need to list the sample space of a roll of a die

$Event\ 1 = \{1,2,3,4,5,6\}$

Next, we list out the sample space of F

$Event\ 2 = \{2,3,4,5,6,7,3,4,5,6,7,8,4,5,\$

$6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12\}$

In (1): the sample space of E is:

$E = \{1\}$

So:

$P(E) = \frac{n(E)}{n(Event\ 1)}$

$P(E) = \frac{1}{6}$

In (2): the sample space of F is:

$F = \{5,5,5,5\}$

So:

$P(F) = \frac{n(F)}{n(Event\ 2)}$

$P(F) =\frac{4}{36}$

$P(F) =\frac{1}{9}$

For E and F to be independent:

$P(E\ and\ F) = P(E) * P(F)$

Substitute values for P(E) and P(F)

This gives:

$P(E\ and\ F) = \frac{1}{6} * \frac{1}{9}$

$P(E\ and\ F) = \frac{1}{54}$

However, the actual value of P(E and F) is 0.

This is so because $E = \{1\}$ and $F = \{5,5,5,5\}$ have 0 common elements:

So:

$P(E\ and\ F) = 0$

Compare $P(E\ and\ F) = \frac{1}{54}$ and $P(E\ and\ F) = 0$ .

These values are not equal.

Hence: the two events are not independent

6 0

3 years ago

You gave the server at a restaurant a 22% tip and ended up paying $41.48. What was the price of your meal before you applied the

const2013 [10]

Answer: The price of meal before the tip = $34.

Step-by-step explanation:

Given : The percentage of tip = 22% = 0.22 ( we divide a percentage by 100 to convert it into decimal)

Total amount paid ( including tip) = $41.48

Formula for Total bill = Price of meal + Tip amount , where Tip amount= 22% of Price of meal.

Let x be the price of meal, then

Total bill =x + 0.22 x (x )

⇒ $41.48= x(1+0.22) [ By distributive property]

⇒ $41.48 = x (1.22)

⇒ x= ($41.48) ÷ 1.22

⇒ x= 34

Hence, the price of your meal before you applied the tip = $34.

7 0

4 years ago

6.- Find the area under the standard normal distribution: to the left of z=-1.55.

Kisachek [45]

Answer:

$P(z$

Step-by-step explanation:

For this case we want to find this probability:

$P(z$

Because they want the area to the left of the value. We need to remember that the normal standard distribution have a mean of 0 and a deviation of 1.

We can use the following excel code: =NORM.DIST(-1.55,0,1,TRUE)

And we got:

$P(z$

The other possibility is use the normal standard table and we got a similar result.

5 0

4 years ago

Shaun's savings can be modeled by the regression equation y = 6x^2 + 75x+200. Which of the following is the best prediction for

kipiarov [429]

Answer:

Option D

Step-by-step explanation:

The equation to predict the amount saved is

$y = 6x ^ 2 + 75x + 200.$

Assuming that the variable x represents the saving months, then substitute $x = 25$ in the quadratic equation and solve for y.

$y = 6 (25) ^ 2 +75 (25) +200\\\\y = \$\ 5,825$

The answer is the option D $5,825

3 0

3 years ago