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3 years ago

Write 3 times the square root of 2 plus 2 times the square root of 3 in simplest form.

Mathematics

1 answer:

lubasha [3.4K]3 years ago

8 0

Answer:

Step-by-step explanation:

3 $\sqrt{2}$ + 2 $\sqrt{3}$

is in simplest form and cannot be simplified further

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PlSSS HELP IF YOU TURLY KNOW THISS

o-na [289]

Answer:

x=3 hope this helps

Step-by-step explanation:

8 0

3 years ago

Abbey purchased a poster that had a height of 2 feet and a width of 0.7 foot.What is the area of Abbey's poster?

Eduardwww [97]

Answer:

1.4 feet

Step-by-step explanation:

To determine area we multiply height X width

2 X .7 = 1.4

6 0

3 years ago

You flip an unfairly weighted coin 4 times. If the probability of getting a tail is 0. 38.

anygoal [31]

Answer:

0.84306608

Step-by-step explanation:

The probability of an event, e, occurring exactly r times over n trials follows the formula

(n combination r) * p^r * q ^ (n-r)

with p being the probability the event will occur and q being the probability the event will not occur.

I assume you have a calculator/can find one online that can do combinations.

Here, we want to figure out if you get:

- 0 tails

- 1 tail

- 2 tails

If you get 3 or 4 tails, we are getting more than the 2 tails desired

For 0 tails:

- p is the probability a tail will occur = 0.38

- we want it to occur 0 times, so r = 0

- q is (1-p) = 1- 0.38 = 0.62

- we have 4 trials, as we flip it 4 times

(n combination r) * p^r * q ^ (n-r) = (4 combination 0) * (0.38) ^0 * (0.62) ^(4-0) = 1 * (0.38) ^0 * (0.62) ^(4-0) = 0.14776336

For 1 tail:

- p = 0.38, q = 0.62 as with 0 tails

- r = 1, n = 4

(n combination r) * p^r * q ^ (n-r) = (4 combination 1) * (0.38) ^1 * (0.62) ^(4-1) = 4* (0.38) ^1 * (0.62) ^(4-1) = 0.36225856

For 2 tails:

- p = 0.38, q = 0.62 as with 0 tails

- r = 2, n = 4

(n combination r) * p^r * q ^ (n-r) = (4 combination 2) * (0.38) ^1 * (0.62) ^(4-2) = 6* (0.38) ^2 * (0.62) ^(4-2) = 0.33304416

add our 3 probabilities together

0.33304416 + 0.36225856 + 0.14776336 = 0.84306608 as our answer

8 0

2 years ago

In a certain country, approximately 22 out of 100 people over the age of 12 smoke. How many smokers would you expect in a group

Elan Coil [88]

Answer:

121 smokers

Step-by-step explanation:

This can be calculated as a simple rule of 3.

In these problems, the first step is identifying the measures in the problem. Then, we must identify whether their relation is direct or inverse.

When it is direct, as one measure increases, the other will increase too.

When it is inverse, as one measure increases, the other will decrease.

In this problem, the measures are the number of people over 12 that smoke, and the total number of people over 12. Their relation is direct, because as the number of people increases, the number of smokers will increase too.

So we must solve the following rule of three:

22 smokers - 100 people

x smokers - 550 people

x = 550*22/100

x = 22*5.5

x = 121 smokers.

So, in a group off 550 people over the age of 12, there are 121 expected smokers.

8 0

3 years ago

If M is the set of all perfect squares that are less than 100 and N is the set of all positive numbers that are less than 15. wr

deff fn [24]

The sets of M and N are { 4 , 16 , 25 , 36 , 49 , 64 , 81 } and{ 0, 1 , 2 , 3, 4, 5 , 6, 7 , 8, 9, 10, 11, 12, 13, 14, 15 }

Set is a collection of elements or numbers or objects.

It is represented with the symbol '{}'

We have that;

M is the set of all perfect squares that are less than 100
N is the set of all positive numbers that are less than 15

M = { 4 , 16 , 25 , 36 , 49 , 64 , 81 }

N = { 0, 1 , 2 , 3, 4, 5 , 6, 7 , 8, 9, 10, 11, 12, 13, 14, 15 }

Thus, the sets of M and N are { 4 , 16 , 25 , 36 , 49 , 64 , 81 } and{ 0, 1 , 2 , 3, 4, 5 , 6, 7 , 8, 9, 10, 11, 12, 13, 14, 15 }

Learn more about sets here:

brainly.com/question/2166579

#SPJ1

8 0

1 year ago