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Dima020 [189]
1 year ago
5

Eight times the reciprocal of a number equals 2 times the reciprocal of 9. Find the number

Mathematics
1 answer:
vfiekz [6]1 year ago
7 0

Answer:

8 * 1/x = 1/9 *2

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62% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the
velikii [3]

Answer:

a) 0.1829

b) 0.6823

c) 0.0413

Step-by-step explanation:

We are given the following information:

We treat adult having little confidence in the newspaper as a success.

P(Adult have little confidence) = 62% = 0.62

Then the number of adults follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

a) exactly 5

P(x =5)\\\\=\binom{10}{5}(0.62)^5(1-0.62)^5\\\\=0.1829

0.1829 is the probability that exactly 5 out of 10 U.S.adults have very little confidence in newspapers.

b) atleast six

P(x \geq 6)\\\\ = P(x = 6) + P(x = 7)+P(x = 8)+P(x = 9)+P(x=10)\\\\= \displaystyle\sum \binom{10}{n}(0.62)^n(1-0.62)^{10-n}, n =6,7,8,9,10\\\\= 0.6823

0.6823 is the probability that atleast 6 out of 10 U.S. adults have very little confidence in newspapers.

c) less than four

P(x

0.0413 is the probability that less than 4 out of 10 U.S. adults have very little confidence in newspapers.

8 0
1 year ago
The triangle DEF is shown in the diagram.<br>Find the exact value of x.<br>​
vladimir1956 [14]

Answer:

x = 4

Step-by-step explanation:

Using cosine triangle formula, we know that;

c² = a² + b² - 2ac(cos C)

From our diagram;

a = 2x

b = x + 1

c = 7

C = 60°

Thus;

7² = (2x)² + (x + 1)² - 2(2x)(x + 1)cos 60

49 = 4x² + (x² + 2x + 1) - (4x² + 4x)(0.5)

49 = 5x² + 2x + 1 - 2x² - 2x

3x² + 1 - 49 = 0

3x² - 48 = 0

3x² = 48

x² = 48/3

x² = 16

x = √16

x = 4

8 0
1 year ago
Write the numbers in ascending order
nadezda [96]

-√2, 0, √5, 13/4

-1.5, 3/4, 3, √10

-3/2, -3/7, 0.75, 2

8 0
2 years ago
Write 55,426 using the number names
Aleks04 [339]

Answer:

fifty five thousand four hundred and twenty six.

Step-by-step explanation:

4 0
1 year ago
Read 2 more answers
The expression y2 – 10y + 24 has a factor of y – 4. What is another factor of y2 – 10y + 24?
charle [14.2K]
We may answer the question above by dividing the expression y² - 10x + 24 with the given factor, y - 4. The division would give an answer of y - 6. Thus,

                                <span>y² - 10x + 24 = (y - 4)(y - 6)

The answer is the fourth choice, y - 6.</span>
4 0
2 years ago
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