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1 year ago

25. Write the following definition as a biconditional.

Mathematics

1 answer:

cestrela7 [59]1 year ago

8 0

Answer:

A phrase is an oxymoron if and only if it contains contradictory terms.

Step-by-step explanation:

A conditional statement is a statement written in the "if-then" form.

The converse of a conditional statement is when the hypothesis and the conclusion is interchanged.

A biconditional statement is a combination of a conditional statement and its converse written in the "if and only if" form.

Given statement:

An oxymoron is a phrase that contains contradictory terms.

Conditional: If a phrase is an oxymoron then it contains contradictory terms.

Converse: If a phrase contains contradictory terms then it is an oxymoron.

Biconditional: A phrase is an oxymoron if and only if it contains contradictory terms.

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How do you solve 2(x+7)+x=20

alexira [117]

2(x+7) + x=20
(2)(x) + (2)(7) + x=20 Distribute
2x+14 + x =20
(2x+x) + (14) =20 Combine Like Terms
3x+14=20
- 14 -14 Subtract 14 from both sides
3x = 6
3x/3 6/3 Divide Both Sides by 3

x = 2

Let me know if you still don't understand

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3 years ago

Conduct the appropriate hypothesis test and compute the test statistic. A company that produces fishing line undergoes random te

andre [41]

Answer:

Option D) Yes, because the test statistic is -2.01

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 30 pound

Sample mean, $\bar{x}$ = 29.1 pounds

Sample size, n = 20

Alpha, α = 0.05

Sample standard deviation, s = 2 pounds

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 30\text{ pounds}\\H_A: \mu < 30\text{ pounds}$

We use one-tailed(left) t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{29.1 - 30}{\frac{2}{\sqrt{20}} } = -2.012$

Now,

$t_{critical} \text{ at 0.05 level of significance, 19 degree of freedom } = -1.729$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. Thus, there were enough evidence to conclude that the fishing line breaks with an average force of less than 30 pounds.

Option D) Yes, because the test statistic is -2.01

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4 years ago

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Marat540 [252]

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3 years ago

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Svetradugi [14.3K]

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3 years ago

Read 2 more answers

If it takes 5 hour to paint 5/6 of a truck,how long will it take to paint the whole truck

Softa [21]

Answer:

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