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fgiga [73]
3 years ago
5

I will mark brainliest whoever answers first, please I really need help.

Mathematics
1 answer:
MariettaO [177]3 years ago
8 0

Answer:

Step-by-step explanation:

Since the number of samples is given as n = 30, we would determine the degree of freedom, df

df = n - 1 = 30 - 1

df = 29

Since the test statistic is given as 2.35 and the df = 29, we would determine the p value from the t distribution table. We will look for the row containing df = 29 and trace the two columns between which 2.35 falls. The result would also be in the row containing one tailed test. Therefore, the p-value falls between 0.025 and 0.01.

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Five friends will share equally 1/2 yard of felt for an art project. How much felt will each friends get
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taurus [48]

Answer:

x^2 - 2x + 10, option B

Step-by-step explanation:

Complex numbers:

The most important relation that involves complex numbers is given by:

i^2 = -1

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this question:

The solutions are:

x_1 = 1 - 3i, x_2 = 1 + 3i

We have to find the polynomial. All option have a = 1. So

(x - (1 - 3i))(x - (1 + 3i)) = x^2 - x(1 + 3i) - x(1 - 3i) + (1 - 3i)(1 + 3i) = x^2 - x -3ix - x + 3ix + 1^2 - (3i^2) = x^2 - 2x + 1 - 9i^2 = x^2 - 2x + 1 - 9(-1) = x^2 - 2x + 10

The correct answer is given by option b.

6 0
3 years ago
-2n( m^2 - m -3 ) =
kogti [31]

Answer:

=-2nm^2+2nm+6n

Step-by-step explanation:

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4 0
3 years ago
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The triangle below is equilateral. Find the length of side x to the nearest tenth.
Gemiola [76]

Answer:

\sqrt{\frac{15}{2} } or 2.738

Step-by-step explanation:

Let’s just look at the triangle on the top with the \sqrt{10} on the top and x on the bottom. (Basically the top half to the equilateral triangle)

There is a small square in the bottom right corner, which indicates that this triangle is a right triangle. This means that we can use the Pythagorean Theorem: a^{2} +b^{2} =c^{2}

We know that \sqrt{10} is our hypotenuse, and therefore our c in our equation. Let’s say that x=a in our equation. Therefore we are left to find b. However, b is half the length of the side of the original equilateral triangle. An equilateral triangle means that all three sides are the same length. Therefore our side would also be \sqrt{10} units long. However we know that b is half of that value, so b=\frac{1}{2}(\sqrt{10}) or \frac{\sqrt{10} }{2}

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x=\sqrt{\frac{15}{2} }

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Phoenix [80]
72.25 - 51.5= <span>20.75
it is 20.75 feet longer</span>
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