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Vitek1552 [10]
2 years ago
13

If the value of Y is between 0.0078 and 0.01 which of the following could be Y?

Mathematics
1 answer:
yuradex [85]2 years ago
3 0

Answer: 0.0099

Step-by-step explanation:

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If sinx = 0.3, and x is in Quadrant III, then what is the value of cosx?
enot [183]

Probably the question should say \sin x=-0.3, as \sin x is negative for \pi.

In that case, recall that

\cos^2x+\sin^2x=1\implies\cos x=\pm\sqrt{1-\sin^2x}

Because x lies in the third quadrant, we expect \cos x to also be negative, so we take the negative root above. Then

\cos x=-\sqrt{1-(-0.3)^2}\approx-0.954

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Which of the following is equivalent to the complex number i^{6}
Helga [31]
\bf \textit{recall that }i^2=-1
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i^6\implies i^{2+2+2}\implies i^2i^2i^2\implies (-1)(-1)(-1)

and you know what that is.
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Which of the following options have the same value as %5, percent of 35? Choose 2 answers: (Choice A) A 5*35 (Choice B) B 5/100*
nasty-shy [4]

Answer:

B and D

Step-by-step explanation:

5% of 35 can be represented as 5% \cdot35.

To find equations that make this work, we need to find different ways to represent 5%.

5% can be represented as fraction - over 100. The percentage over 100 will be equal to the percent.

So, \frac{5}{100}. Multiplying by 35 gets us \frac{5}{100}\cdot35

This means that Choice B is correct.

Another way to represent 5% is as a decimal.

We already know that the fraction form of 5% is \frac{5}{100}. This means that in the decimal, the number 5 will be two place values to the right of the decimal place.

0.<u>0</u><u>5</u>

So the decimal expansion of 5% is 0.05. Multiplyin by 35 get us 0.05\cdot35, so choice D works too.

Hope this helped!

3 0
2 years ago
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A company produces remote-controlled helicopters. The company’s profit, in thousands of dollars, as a function of the number of
muminat

Answer:

When 6 helicopters are produced weekly, the company's profit is <u>14 thousand dollars.</u>

Step-by-step explanation:

As per the given statement:

The company profit (in thousands of dollars), as a function of the number of helicopters produced per week can be modeled by a  function.

The function that models the scenario is:

f(h) = -2(h-4)^2 +22                       ......[1]

where

f(h) represents the company's profit

h represents the number of helicopters produced per week.

It is also given that when 1 helicopter is produced per week, the company’s profit is 4 thousand dollars.

Maximum profit for company 22 thousand dollars, occurs when 4 helicopters are produced per week

⇒f(1) = 4 and f(4) = 22

we have to find when 6 helicopters are produced weekly, the company profit is;

⇒  h = 6 helicopters

Substitute this value in [1] to solve for f(6);

f(6) = -2(6-4)^2 +22

=-2(2)^2 +22 = -2 \times 4 + 22 = -8 + 22 = 14

Therefore, the company profit is, 14 thousand dollars.


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2 years ago
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A study of long-distance phone calls made from General Electric Corporate Headquarters in Fairfield, Connecticut, revealed the l
iren [92.7K]

Answer:

0.2611

Step-by-step explanation:

Given the following information :

Normal distribution:

Mean (m) length of time per call = 3.5 minutes

Standard deviation (sd) = 0.7 minutes

Probability that length of calls last between 3.5 and 4.0 minutes :

P(3.5 < x < 4):

Find z- score of 3.5:

z = (x - m) / sd

x = 3.5

z = (3.5 - 3.5) / 0.7 = 0

x = 4

z = (4.0 - 3.5) / 0.7 = 0.5 / 0.7 = 0.71

P(3.5 < x < 4) = P( 0 < z < 0.714)

From the z - distribution table :

0 = 0.500

0.71 = very close to 0.7611

(0.7611 - 0.5000) = 0.2611

P(3.5 < x < 4) = P( 0 < z < 0.714) = 0.2611

3 0
2 years ago
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