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2 years ago

98 PTS! Can someone please help?

Mathematics

2 answers:

padilas [110]2 years ago

5 0

Answer: -22

Step-by-step explanation:

In the first question, we can simplify 2√8 to 4√2, making it :

(√10 + 4√2)(√10 - 4√2)

When you FOIL, √10(√10) = 10, and 4√2 * -4√2 = -32. The others cancel each other out. So -32 + 10 = -22.

Xelga [282]2 years ago

5 0

Answer:

1. -22

Step-by-step explanation:

1. There is a special property that we can use. It's a^2-b^2=(a+b)(a-b).

In this case, your a value is sqrt(10) and your b value is 2 sqrt(8).

Thus, (sqrt10 + 2sqrt(8))(sqrt10 - 2sqrt(8)) = sqrt10^2 - 2sqrt(8)^2 = 10 - 32 = -22.

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In which group of numbers is each number a multiple of 4?

AVprozaik [17]

The answer is the first row 12, 24, 48, 96

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2 years ago

Taco Bell has decided to keep their doors open all night. There are 25 employees that have volunteered for the night shift. a) I

DIA [1.3K]

Answer:

a) 1,081,575

b) 735,471

c) 1,075,140

d) 0.3159

Step-by-step explanation:

This is a combination of 25 elements taken 8 at a time

$\binom{25}{8}=\frac{25!}{8!(25-8)!}=\frac{25!}{8!17!}=1081575$

Supposing number 1 is the best, if we leave him/her out we will now have 24 employees, so now it is a combination of 24 elements taken 8 at a time

$\binom{24}{8}=\frac{24!}{8!(24-8)!}=\frac{24!}{8!16!}=735471$

Let's compute the complement of this set and then subtract.

That is to say, compute how many crews do not have any of the 10 best.

This would be a combination of 25-10 = 15 taken 8 at a time

$\binom{15}{8}=\frac{15!}{8!(15-8)!}=\frac{15!}{8!7!}=6435$

If we subtract this figure from the total of possible crews, we get 1,081,575 - 6,435 = 1,075,140 possible crews with at least one of the 10 best.

From the figure obtained in c) we subtract the figure obtained in b) 1,075,140 - 735,471 = 339,669 and this is the number of crews that do not have number 1, so the probability that in a crew with at least one of the 10 best number 1 is not there is

339,669/1,075,140 = 0.3159

5 0

2 years ago

A cosmetics company tested a new lotion. Of the 2,500 people tested, 15 had an allergic reaction. What percent of the people tes

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If we want to know what percent of a number A is of another number B, then all we have to do is to simply divide number A by number B. Then either we move the decimal place of the answer two places to the right or multiply the answer with 100, either method results in the same number.

So the percent of tested people who had an allergic reaction to the new lotion is:

percent people = (15 / 200) * 100

percent people = 0.075 * 100

percent people = 7.5%

Therefore 7.5% of the people had allergic reaction.

4 0

2 years ago

Helpp.. plz...........

Setler [38]

Answer:

(1,4)

Step-by-step explanation:

The x-coordinate comes first and the y-coordinate is second.

If you go to the right one (the x-coordinate) and up 4 (the y-coordinate), the point will be at that location (1,4)

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2 years ago

In a new restaurant there should be two-person tables and four-person tables. For fire safety reasons, only 56 customers are all

erica [24]

Answer:

6 2 person

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mark as brainliet, thank you

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2 years ago