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3 years ago

HELP ME PLEASEEEEEEEEEEEEE

Mathematics

1 answer:

bulgar [2K]3 years ago

4 0

Answer:

1/9

Step-by-step explanation:

120/1080 can be simplified to 1/9

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Lim x—> -2 sqrt(3x+10) -2/ x+2

snow_lady [41]

$\displaystyle\lim_{x\to-2}\frac{\sqrt{3x+10}-2}{x+2}$

Rationalize the numerator:

$\dfrac{\sqrt{3x+10}-2}{x+2}\cdot\dfrac{\sqrt{3x+10}+2}{\sqrt{3x+10}+2}=\dfrac{(3x+10)-4}{(x+2)(\sqrt{3x+10}+2)}=\dfrac3{\sqrt{3x+10}+2}$

where the $x+2$ factors in the numerator and denominator cancel. Then the limit is

$\displaystyle\lim_{x\to-2}\frac{\sqrt{3x+10}-2}{x+2}=\lim_{x\to-2}\frac3{\sqrt{3x+10}+2}=\frac3{\sqrt4+2}=\boxed{\frac34}$

8 0

3 years ago

A study by a reputable research organization found that when presented with prints from the same individual, a fingerprint expe

Llana [10]

Answer:

a. 0.6899

b. 0.1642

Step-by-step explanation:

a. Given the probability of success is 0.94 for an expert and that the number of pairs, n=6:

-Each attempt is independent and therefore the probability of the events is calculated as:

$P(A \ and \B )=P(A)\times P(B)\\\\P(6)=0.94\times0.94\times0.94\times0.94\times0.94\times0.94\\\\=0.6899$

Hence, the probability of correctly identifying the 6 matches is 0.6899

b.Given the probability of success is 0.74 for a novice and that the number of pairs, n=6:

-Each attempt is independent and therefore the probability of the events is calculated as:

$P(A \ and \B )=P(A)\times P(B)\\\\P(6)=0.74\times0.74\times0.74\times0.74\times0.74\times0.74\\\\=0.1642$

#Hence, the probability of correctly identifying the 6 matches is 0.1642

*I have used the sample size of 6(due to conflicting info/question size).

7 0

4 years ago

Convert 13 12 from radians to degrees.

sasho [114]

Answer:

195°

Step-by-step explanation:

3 0

3 years ago

alan has 12 books, vadim has 18 books. What is the ratio of the number of books they have altogether to the number of books Vadi

solmaris [256]

Answer:

5 to 3 ratio

Step-by-step explanation:

Vadim has 18 books. The total books is 30.

30 to 18 simplified is 5 to 3.

4 0

4 years ago

Y + 5x = 37 y = -x+13 Show your work Substitution one equation

lukranit [14]

Answer:

x= 6

Step-by-step explanation:

In substitution, replace the y in the first equation with what y equals. In this case, y= -x+13.

-x+13 +5x= 37

4x+ 13= 37

4x= 24

x= 6

Explanation: First combination like terms, -x and 5. 5x-1x = 4x. Next, follow the opposite of PEMDAS. Adding and subtracting are last, so subtract the 13 on each side. All that's left is dividing the 4 on each side, and you're left with 6.

3 0

3 years ago