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taurus [48]
3 years ago
10

I attached the question in the image below

Mathematics
2 answers:
djyliett [7]3 years ago
8 0

Answer:

45°

Step-by-step explanation:

tan^{-1}(1) = 45°

Alexeev081 [22]3 years ago
3 0

Answer:

\huge\boxed{\theta=45^o\ \vee\ \theta=225^o}

Step-by-step explanation:

\tan\theta=1

\bold{METHOD\ 1}\\\\\text{Use the table in the attachment}\\\\\tan45^o=1\to\theta=45^o\ \vee\ \theta=45^o+180^o=225^o\\\\\bold{METHOD\ 2}\\\\\tan\theta=1\to\tan^{-1}1=\theta\to\theta=45^o\ \vee\ \theta=225^o

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Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† found that about 21.4% of five-syllable
notsponge [240]

Complete Question

ymposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† found that about 21.4% of five-syllable sequences in Symposium are of the type in which four are short and one is long. Suppose an antiquities store in Athens has a very old manuscript that the owner claims is part of Plato's Dialogues. A random sample of 498 five-syllable sequences from this manuscript showed that 129 were of the type four short and one long. Do the data indicate that the population proportion of this type of five-syllable sequence is higher than that found in Plato's Symposium? Use = 0.01.  

a. What is the value of the sample test statistic? (Round your answer to two decimal places.)  

b. Find the P-value of the test statistic. (Round your answer to four decimal places.)

Answer:

a) Z=2.45

b) P Value=0.0073

Step-by-step explanation:

From the question we are told that:

Probability of Wishart and Leach P=21.4=>0.214

Population Size N=498

Sample size n=12

Therefore

P'=\frac{129}{498}

P'=0.2590

Generally the Null and Alternative Hypothesis is mathematically given by

H_0:P=0.214

H_a:=P>0.214

Test Statistics

Z=\frac{P'-P}{\sqrt{\frac{P(1-P)}{n}}}

Z=\frac{0.2590-0.214}{\sqrt{\frac{0.214(1-0.214)}{498}}}

Z=2.45

Therefore P Value is given as

P Value =P(Z\geq 2.45)

P Value =1-P(Z\leq 2.45)

P Value =1-0.99268525

P Value=0.0073

7 0
3 years ago
Convert the following measurements into
Andre45 [30]

Answer:

1) 1076.4ft^2

2). 6561.68ft

3). 2.057kg

4). 1.25×10^-1

5). 6.58×10^1km

6). 278mg

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2 years ago
Which value for x makes the sentence true?
Minchanka [31]

Answer:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆

Hi! The answer to your question is 31

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

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2 years ago
It is 4 : 12 p.M. 4:12 p.M.4, colon, 12, start text, space, p, point, m, point, end text Emma's mom will be home from work in 70
Vaselesa [24]

Answer:

40 Minutes.

Step-by-step explanation:

The current time = 4:12 p.M.

Emma's mom will be home from work in 70 minutes.

70 minutes = 1 hour 10 Minutes= 1: 10 Hours

\left\begin{array}{ccccc}&4&:&12 &p.m.\\+&1&:&10&\\--&--&--&--&--\\&5&:&22&p.m\end{array}\right

Therefore, Emma's Mom will get home by 5: 22 p.m.

Emma has gymnastics lessons at 6 : 00 p.M.

To determine how much time Emma will have between the time that her mom gets home from work and the beginning of gymnastics lessons, we simply subtract 5:22 from 6.

\left\begin{array}{ccccc}&6&:&00 &p.m.\\-&5&:&22&\\--&--&--&--&--\\&00&:&40&\end{array}\right

Emma  will have 40 Minutes.

5 0
3 years ago
X-y=3 in slope intercept form and find x and y intercepts​
Dominik [7]

Answer:

x intercept is x=3

y intercept is y=-3

Step-by-step explanation:

We can write this equation in a simpler way to find the values needed. Lets do it. Take:

x-y=3

And sum y in both sides, as we know the equality will maintain:

x-y+y=3+y

x = 3+ y

Now subtract 3 in both sides:

x-3 = y+3-3

x-3=y

So, we can rewrite our equation as y=x-3

The x intercept is a value of x such that the equation in equal to zero; in other words, is the value of x when y is zero. It is also called a zero root. Graphically, its the x value when the function passes trough the x-axis. Lets find if, we nned that:

x-3 = 0

If we sum 3 in both sides:

x-3+3=3

x=3

So, x=3 is x intercept

For finding the y intercept we need the value of y when x is zero. Graphically, is the value of y obtained when the function passes trough the y-axis. So, replace x with 0:

0-3=y

y=-3

Another way to get it is knowing that the y intercept in a polynomial is always the independent term, the one that has no x or y, which in this case is -3.

7 0
2 years ago
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