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Diano4ka-milaya [45]
2 years ago
9

How many subsets can be made from a set of six elements, including the null set and the set itself?

Mathematics
1 answer:
BlackZzzverrR [31]2 years ago
4 0

Answer:

B) 64

Step-by-step explanation:

You might be interested in
If the geometric mean of a and 34 is 6 sqrt(17) find the value of a
Alborosie

Using the geometric mean concept, it is found that the value of a is 18.

----------------------

The geometric mean, of a data-set of n elements, (n_1, n_2, ..., n_n), is given by:

G = \sqrt[n]{n_1 \times n_2 \times ... \times n_n}

That is, the nth root of the multiplication of all elements.

----------------------

In this question:

  • Two elements(n = 2), a and 34.
  • G = 6\sqrt{17}

Thus:

\sqrt{34a} = 6\sqrt{17}

We find the square of each side, so:

(\sqrt{34a})^2 = (6\sqrt{17})^2

34a = 36\times17

Simplifying both sides by 17:

2a = 36

a = \frac{36}{2}

a = 18

The value of a is 18.

A similar example is given at brainly.com/question/15010240

3 0
3 years ago
Can someone please help me with these questions!! Thanks,
fiasKO [112]

6a. 1 - 2sin(x)² - 2cos(x)² = 1 - 2(sin(x)² +cos(x)²) = 1 - 2·1 = -1

6c. tan(x) + sin(x)/cos(x) = tan(x) + tan(x) = 2tan(x)

6e. 3sin(x) + tan(x)cos(x) = 3sin(x) + (sin(x)/cos(x))cos(x) = 3sin(x) +sin(x) = 4sin(x)

6g. 1 - cos(x)²tan(x)² = 1 - cos(x)²·(sin(x)²)/cos(x)²) = 1 -sin(x)² = cos(x)²

8 0
3 years ago
If you multiply me by 2, then divide the answer by 2, then divide again by 2, you get a quotient of 5. What number am I?
Anuta_ua [19.1K]
The number is 10
10*2=20
20/2=10
10/2=5
3 0
3 years ago
Suppose a researcher is testing someone to see if he or she can tell Soda X from Soda​ Y, and the researcher is using 28 ​trials
AlladinOne [14]

Answer:

The probability that a person will get 17 or more​ right, if the person is truly​ guessing, is about 12.9%.

The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.

Step-by-step explanation:

The system of hypothesis fo this case are:

Null hypothesis: p\leq 0.5

Alternative hypothesis: p >0.5

That's a upper right tailed test.

The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.

And this value allows to reject or not the null hypothesis.

If p_v we reject the null hypotheis at the significance level. That indicates strong evidence against the null hypothesis, so you reject the null hypothesis.

If p_v>\alpha then we say that we fail to reject the null hypothesis at the significance level. That indicates weak evidence against the null hypothesis, so you fail to reject the null hypothesis.

5 0
3 years ago
PLEASE HELP ME
Nitella [24]

Answer: 136 units squared

Step-by-step explanation:

I will assume this is a rectangular prism since it isn't specified.

The surface area of a rectangular prism: SA = 2(lw+lh+wh).

Plugging in your dimensions: SA = 2(7*2 + 7*6 + 2*6) = 2(14+42+12) = 2(68) = 136 units squared.

8 0
3 years ago
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