1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ivolga24 [154]
3 years ago
15

Those are the math questions I need the answers of ​

Mathematics
1 answer:
Elena L [17]3 years ago
7 0

Answer:

1)

12\sqrt{18}-3\sqrt{50}+\sqrt{32}

12\sqrt{9}\sqrt{2}-3\sqrt{25}   \sqrt{2} +\sqrt{16} \sqrt{2}

12\times3\sqrt{2} -3\times5\sqrt{2}+4\sqrt{2}

36\sqrt{2}-15\sqrt{2}+4\sqrt{2}

25\sqrt{2}

2)

\frac{1}{5+2\sqrt{6}}

Multiply 5-2\sqrt{6}:

\frac{1\times \left(5-2\sqrt{6}\right)}{\left(5+2\sqrt{6}\right)\left(5-2\sqrt{6}\right)}

Apply Difference of Squares formula: (a+b)(a-b)=a^2-b^2

\frac{5-2\sqrt{6}}{5^2-\left(2\sqrt{6}\right)^2}

\frac{5-2\sqrt{6}}{25-2^2\left(\sqrt{6}\right)^2}

\frac{5-2\sqrt{6}}{25-4\times6}

\frac{5-2\sqrt{6}}{1}

{5-2\sqrt{6}}

a = 5, b = -2

You might be interested in
Solve the system of equations algebraically.<br> 4x - 3y = 6<br> 6x - 5y = 6
muminat

Answer: x=6  y=6

Step-by-step explanation:

\displaystyle\\\left \{ {{4x-3y=6} \atop {6x-5y=6}} \right.\\

Since the right parts of the equation are equal, therefore the left parts of the equation are also equal:

4x-3y=6x-5y\\4x-3y+5y=6x-5y+5y\\4x+2y=6x\\4x+2y-4x=6x-4x\\2y=2x\\

Divide both parts of the equation by 2:

y=x\\Hence,\\4x-3x=6\\x=6\\Thus,\\x=y=6

3 0
1 year ago
Bruce is 4 times as old as Indy. 6 years ago, Bruce was 6 times as old as Indy. how old is bruce now?
goblinko [34]
4i = b
6(i-6) = b-6

6(i-6) = 4i - 6
6i - 36 = 4i - 6
2i - 36 = -6
2i = 30
i = 15 years old
b = 60 years old

Check:
15 * 4 = 60
9 * 6 = 54 :)
5 0
3 years ago
The histogram shows the 9th grade shoe sizes at a Lakeview High School. Which inequality correctly describes the relationship be
Nikitich [7]

Answer:

I think it might be B a mean is bigger than the median

6 0
3 years ago
13. One-fourth of a number is the same as the square of -3
Alex777 [14]
Whats the answer choices
4 0
2 years ago
A coin is thrown independently 10 times to test the hypothesis that the probability of heads is 0.5 versus the alternative that
mafiozo [28]

Answer:

(a) The significance level of the test is 0.002.

(b) The power of the test is 0.3487.

Step-by-step explanation:

We are given that a coin is thrown independently 10 times to test the hypothesis that the probability of heads is 0.5 versus the alternative that the probability is not 0.5.

The test rejects the null hypothesis if either 0 or 10 heads are observed.

Let p = <u><em>probability of obtaining head.</em></u>

So, Null Hypothesis, H_0 : p = 0.5

Alternate Hypothesis, H_A : p \neq 0.5

(a) The significance level of the test which is represented by \alpha is the probability of Type I error.

Type I error states the probability of rejecting the null hypothesis given the fact that the null hypothesis is true.

Here, the probability of rejecting the null hypothesis means we obtain the probability of observing either 0 or 10 heads, that is;

            P(Type I error) = \alpha

         P(X = 0/H_0 is true) + P(X = 10/H_0 is true) = \alpha

Also, the event of obtaining heads when a coin is thrown 10 times can be considered as a binomial experiment.

So, X ~ Binom(n = 10, p = 0.5)

P(X = 0/H_0 is true) + P(X = 10/H_0 is true) = \alpha

\binom{10}{0}\times 0.5^{0} \times (1-0.5)^{10-0}  +\binom{10}{10}\times 0.5^{10} \times (1-0.5)^{10-10}  = \alpha

(1\times 1\times 0.5^{10})  +(1 \times 0.5^{10} \times 0.5^{0}) = \alpha

\alpha = 0.0019

So, the significance level of the test is 0.002.

(b) It is stated that the probability of heads is 0.1, and we have to find the power of the test.

Here the Type II error is used which states the probability of accepting the null hypothesis given the fact that the null hypothesis is false.

Also, the power of the test is represented by (1 - \beta).

So, here, X ~ Binom(n = 10, p = 0.1)

1-\beta = P(X = 0/H_0 is true) + P(X = 10/H_0 is true)

1-\beta = \binom{10}{0}\times 0.1^{0} \times (1-0.1)^{10-0}  +\binom{10}{10}\times 0.1^{10} \times (1-0.1)^{10-10}  

1-\beta = (1\times 1\times 0.9^{10})  +(1 \times 0.1^{10} \times 0.9^{0})

1-\beta = 0.3487

Hence, the power of the test is 0.3487.

3 0
3 years ago
Other questions:
  • −9x+4y=6 ​ 9x+5y=−33 ​​
    14·1 answer
  • Members of a community center are planning a field trip to the zoo. More than 50 people will go on the trip. Ten people are prov
    11·1 answer
  • I have another Brainliest
    6·2 answers
  • U help factoring Trinomial plz
    11·1 answer
  • What is the x-coordinate of the solution to the system of equations?<br> {3x+2y=3<br> 2x−2y=7
    11·1 answer
  • -1/6(x-24)&lt;4<br><br> Please answer!!!
    7·1 answer
  • My favorite songdress
    10·1 answer
  • The ___ is the average of the sum of the squared differences of the mean from each
    15·1 answer
  • Coach Sandberg wants to order 115 jackets and 27 cabs for $12 each
    7·1 answer
  • Type a digit that makes this statement true.<br> 7,176,260 is divisible by 3.<br> Submit
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!