All categories

3 years ago

Simplify -3√3(2+√6) please include steps

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

8 0

Answer:

-6√3 - 9√2

Step-by-step explanation:

So you distribute like normal:

-3√3 times 2 is -6√3

-3√3 times √6 is -3√18

You can simplify -3√18 into -9√2

(because 9 can be squared into 3 and you can multiply the 3 with the current 3 into 9)

(Also you have to divide 9 out of 18 since you are simplifying)

So the answer will be -6√3-9√2

Hope this helps!

You might be interested in

Solve the equation using the distributive property and properties of equality. -5(a+3)=-55 What is the value of a? A.)-14 B.) -8

Colt1911 [192]

Answer:

C) 8

Step-by-step explanation:

-5(a+3)=-55

a+3=-55/-5

a+3=11

a=11-3

a=8

4 0

4 years ago

HELP I NEED HELP ASAP

ValentinkaMS [17]

Answer: a

Step-by-step explanation:

6 0

3 years ago

Underage drinking, Part I: Data collected by the Substance Abuse and Mental Health Services Administration (SAMSHA) suggests tha

dezoksy [38]

Answer:

a. Yes, there are 10 independent trials, each with exactly two possible outcomes, and a constant probability associated with each possible outcome.

b. The probability is 0.2029 or 20.29%

c. The probability is 0.2029 or 20.29%

d. The probability is 0.1671 or 16.71%

e. The probability is 0.9975 or 99.75%

Step-by-step explanation:

a. Yes, there are 10 independent trials, each with exactly two possible outcomes, and a constant probability associated with each possible outcome.

b. Let's use the binomial distribution table, this way:

Binomial distribution (n=10, p=0.697)

f(x) F(x) 1 - F(x)

x Pr[X = x] Pr[X ≤ x]

0 0.0000 0.0000

1 0.0002 0.0002

2 0.0016 0.0017

3 0.0095 0.0112

4 0.0384 0.0496

5 0.1059 0.1555

6 0.2029 0.3584

7 0.2668 0.6252

8 0.2301 0.8553

9 0.1176 0.9729

10 0.0271 1.0000

The probability is 0.2029 or 20.29%

c. If 69.7% of 18-20 years old consumed alcoholic beverages in 2008, therefore, 30.3% did not and the binomial distribution table is:

Binomial distribution (n=10, p=0.303)

f(x) F(x) 1 - F(x)

x Pr[X = x] Pr[X ≤ x]

0 0.0271 0.0271

1 0.1176 0.1447

2 0.2301 0.3748

3 0.2668 0.6416

4 0.2029 0.8445

5 0.1059 0.9504

6 0.0384 0.9888

7 0.0095 0.9983

8 0.0016 0.9998

9 0.0002 1.0000

10 0.0000 1.0000

The probability is 0.2029 or 20.29%

d. Let's use the binomial distribution table, this way:

Binomial distribution (n=5, p=0.697)

f(x) F(x) 1 - F(x)

x Pr[X = x] Pr[X ≤ x]

0 0.0026 0.0026

1 0.0294 0.0319

2 0.1351 0.1671

3 0.3109 0.4779

4 0.3576 0.8355

5 0.1645 1.0000

P(0) + P(1) + P (2) = 0.0026 + 0.0294 + 0.1351

The probability is 0.1671 or 16.71%

e. Using the same binomial distribution table we used in d. we have:

P(1) + P (2) + P(3) + P(4) + P (5) = 0.0294 + 0.1351 + 0.3109 + 0.3576 + 0.1645

The probability is 0.9975 or 99.75%

7 0

3 years ago

Callan is buying a square shaped platter with an area of 169 square inches what is the correct step he should take if he wants t

bagirrra123 [75]

a = length of one side.

Area of a square = a^2

in our problem,

Area = 169 square inches

a = ?

Plug our numbers into the area formula mentioned above.

169 in^2 = a^2.

Take the square root of each side to find the side length of the square shaped platter.

13 = a

4 0

3 years ago

Equations for m equals three times n devided by the difference of 4p and 5 n

MrRa [10]

Numerator of the equation is 3*nDenominator is 4*p - 5*n The equation is m = 3n/(4p-5n)

Numerator = 3*n
Denominator = 4*p - 5*n
Equation = [m = 3n/(4p-5n)]

4 0

4 years ago