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TEA [102]
3 years ago
13

Describe the value of the 9 in 926,415 use at least 2 terms from the word list in your explanation

Mathematics
1 answer:
Sedbober [7]3 years ago
8 0

Answer:

The value of 9 in 926,415 is nine hundred thousands

Step-by-step explanation:

* Lets explain how to write a number in the expand form

- Expand form is a way of writing numbers to see the math value

 of individual digits

- Ex: the expand form of 23,456 is 20,000 + 3,000 + 400 + 50 + 6

- Place value is the value represented by a digit in a number

- Ex: the place value of 5 in 250 is tens

* <em>Lets solve the problem</em>

- The number is 926,415

- The number formed from 6 digits

- The expand form of the number is:

  926,415 = 900,000 + 20,000 + 6,000 + 400 + 10 + 5

- <em>Lets write the place value of each digit</em>

# The place value of 5 is ones

# The place value of 1 is tens

# The place value of 4 is hundreds

# The place value of 6 is thousands

# the place value of 2 is ten thousands

# The place value of 9 is hundred thousands

∴  The place value of 9 in the number is hundred thousands

∴ The value of 9 in 926,415 is nine hundred thousands

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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
Consider angle θ in Quadrant II, where sinθ = 4/5 . What is the value of cosθ?
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Answer:

3/5

Step-by-step explanation:

sin theta=opposite/hypotenuse

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using pythagoras theorem

a^2+b^2=c^2

opposite^2 + adjacent^2 =hypotenuse^2

4^2 + adjacent^2 =5^2

16 + adjacent^2 =25

adjacent^2 =25-16

adjacent =\sqrt{9

adjacent=3

cos theta=adjacent/hypotenuse

=3/5

therefore the value of cos theta is 3/5

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3 years ago
If f (x) = x² - 7, evaluate the following: f(12) f(-7)
Julli [10]

Answer: f(12) = 137, f(-7) = 42

Step-by-step explanation: In a function, what you want to do is plug in the value they give you for x. This means you substitute x with the value they are looking for.

In this case, they are looking at 12 and -7. Let's do 12 first.

The equation becomes (12^2) - 7. 12^2 is 144, and 144-7 is 137.

Now we do -7. The equation becomes (-7)^2 - 7. -7^2 is 49, and 49 - 7 is 42.

Hope this helped!

7 0
2 years ago
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