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Vanyuwa [196]
4 years ago
10

Find the distance between the points (1, 0) and (0, 2). √3 √5 1

Mathematics
1 answer:
Temka [501]4 years ago
7 0

Answer:

\sqrt{5}

Step-by-step explanation:

Calculate the distance using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (0, 2)

d = \sqrt{(0-1)^2+(2-0)^2}

  = \sqrt{(-1)^2+2^2}

  = \sqrt{1+4}

  = \sqrt{5}

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43. A one sample test for a proportion is being performed. If the critical value is 2.33 and the test statistics is 1.37, a) The
Sonbull [250]

Answer:

Option A) The null hypothesis should not be rejected.

Step-by-step explanation:

We are given the following in the question:

A one sample test for a proportion is being performed.

Critical Value = 2.33

Test statistic = 1.37

Since the critical value is positive and the calculated test statistic is positive, thus it is a right tailed test for a proportion.

The null and alternate hypothesis can be written as:

H_{0}: p \leq p_0\\H_A: p > p_0

Since the calculated test statistic is less than the critical value, we fail to reject the null hypothesis.

We accept the null hypothesis.

Thus, the correct answer is

Option A) The null hypothesis should not be rejected.

7 0
3 years ago
What expressions are equivalent to 7^3 * 7^x
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Answer:

The question = (7^3)*(7^x)

When multiplying two exponents with the same base, all you do is add the exponents together and keep the same base

Therefore,

(7^3)*(7^x) = 7^(3+x)

Step-by-step explanation:

7^3+x is the answer

3 0
3 years ago
Please help quickly I will give you brainiest But please don't make me report you
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A.) -4 Yards

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Step-by-step explanation:

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3 0
3 years ago
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Reposting this as a priority question worth 15 points help please ASAP
Shkiper50 [21]

Answer:

3. f(x) = 5^x

4. f(x) = 3 (8)^x

Step-by-step explanation:

3. Which function represents the data 2=>25, 3=>125, 4 =>625

You just have to plug the values of x in the equations provided and see which one fit, you stop testing for a given equation when it doesn't match the data table.

f(x) = x^4 + 9 - NO

for x = 2, 2^4 + 9 = 16 + 9 = 25 YES

for x = 3, 3^4 + 9 = 81 + 9 = 90 NO, should be 125

f(x) = 4^x + 9 - NO

for x = 2, 4^2 + 9 = 16 + 9 = 25 YES

for x = 3, 4^3 + 9 = 64 + 9 = 73  NO, should be 125

f(x) = x^5 - NO

for x = 2, 2^5 = 32 NO, should be 25

f(x) = 5^x YES

for x = 2, 5^2 = 25  YES

for x = 3, 5^3 = 125  YES

for x = 4, 5^4 = 625  YES

4. Which of the options is equivalent to f(x) = 3(2)^(3x)

By property of the powers you can easily break down the 3x exponent into a much simpler way.

(2)^{3x} = (2^{3} )^{x} = 8^{x}

From (2)^(3x) we got to 8^x, so the equation can now be written:

f(x) = 3 (8)^x, which is the first choice.

You could easily verify it with x = 2 in each equation.

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3 years ago
Which of the functions below could have created this graph ?
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C is the correct answer
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