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jasenka [17]
4 years ago
11

Tell whether you can make a unique triangle or no triangle with these conditions: angles measuring 45 degrees and 90 degrees and

an included side that is 10 cm.
Mathematics
1 answer:
Anon25 [30]4 years ago
5 0
You could not make a triangle with these measurements, because a triangle equals 180°, how ever if you add 45 + 90 + 10 you would get 145°. So you could not make a triangle with these measurements.
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WHat is the answer to this (1−5q)+(2.5q+8)−(0.5q+6)
MA_775_DIABLO [31]

Answer:

-3q+3

Step-by-step explanation:

6 0
3 years ago
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The area of a rectangle is found by multiplying the base times the height. A rectangle with an area represented by 12x2 + 6x – 8
maria [59]
\bf \textit{area of a rectangle}\\\\
A=bh~~
\begin{cases}
b=base\\
h=height\\
---------\\
A=12x^2+6x-8\\
h=4x
\end{cases}\implies 12x^2+6x-8=b(4x)
\\\\\\
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Write 77 as the sum of three square numbers.
Sergio039 [100]

Answer:

8^2+2^2+3^2

Step-by-step explanation:

3 0
3 years ago
About 30% of the population cannot detect any odor when they sniff the steroid androstenone, but they can become sensitive to it
iris [78.8K]

Using the z-distribution, as we are working with a proportion, it is found that there is enough evidence to conclude that the proportion is different of 50%.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if the proportion is of 0.5, that is:

H_0: p = 0.5


At the alternative hypothesis, it is tested if the proportion is different of 0.5, that is:

H_1: p \neq 0.5.

<h3>What is the test statistic?</h3>

The test statistic is given by:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

In which:

  • \overline{p} is the sample proportion.
  • p is the proportion tested at the null hypothesis.
  • n is the sample size.

In this problem, the parameters are:

p = 0.5, n = 12, \overline{p} = \frac{10}{12} = 0.8333

Then, the value of the test statistic is as follows:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

z = \frac{0.8333 - 0.5}{\sqrt{\frac{0.5(0.5)}{12}}}

z = 2.31

<h3>What is the decision?</h3>

Considering a <em>two-tailed test</em>, as we are testing if the proportion is different of a value, with a <em>significance level of 0.05</em>, the critical value is of |z^{\ast} = 1.96.

Since the absolute value of the test statistic is greater than the critical value for the two-tailed test, it is found that there is enough evidence to conclude that the proportion of participants that had improved androstenone-detection accuracy is different of 50%.

More can be learned about the z-distribution at brainly.com/question/26454209

5 0
2 years ago
The equation C = 0.20x + 50 gives the cost C in dollars for renting a truck and
k0ka [10]

Answer:

0.20 dollars/mile

Step-by-step explanation:

The slope actually has units. It has the meaning of 20 cents per mile. The units are cents per mile.

But it can also be 0.20 dollars/mile which is probably the way you should interpret it in a math class. That way it matches the units of the 50 which is for certain in dollars.

5 0
3 years ago
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