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NeX [460]
3 years ago
14

Write the expression as either the sine, cosine, or tangent of a single angle.

Mathematics
2 answers:
dlinn [17]3 years ago
7 0
The answer is cos(2pi/35)
lana66690 [7]3 years ago
4 0
The expression is:
cos (π / 5) cos (π/7) + sin (π/5) sin(π/7)

This expression can be reduced into a trigonometric function with one angle if we make use of the trigonometric identities. The appropriate identity is:
cos (A - B) = cos A cos B + sin A sin B

If we let
A = π / 5
B = π / 7

Therefore,
cos (π / 5) cos (π/7) + sin (π/5) sin(π/7) = cos (π/5 - π/7) = cos (2π/35)

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Mr. Altamirano opens an account with a simple interest on an account with $1000 at 3% annually for 9 months. How much interest d
Aleksandr [31]

Answer:

$270

Step-by-step explanation:

Multiply 1000 by .03 or 3%. Then mulrioly that number by 9 because it is that amoint of interest for nine months.

3 0
3 years ago
In the game of​ roulette, a player can place a ​$5 bet on the number 3 and have a startfraction 1 over 38 endfraction probabilit
Misha Larkins [42]
The expected value per game is -0.26.  Over 1000 games, you can expect to lose $263.16.

To find the expected value, we multiply the probability of winning by the amount of winnings, the probability of losing by the amount of loss, and adding those together.

We have a 1/38 chance of winning; 1/38(175) = $4.61.  We also have a 37/38 chance of losing; 37/38(5) = $4.87.

$4.61-$4.87 = -$0.26 (rounded)

To five decimal places, our answer is -0.26136; multiplied by 1000 games, this is $261.36 lost.
3 0
4 years ago
A survey of 85 families showed that 36 owned at least one DVD player. Find the 99% confidence interval estimate of the true prop
attashe74 [19]

Answer:

0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286

0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562

The 99% confidence interval would be given by (0.286;0.562)

Step-by-step explanation:

Information given:

X= 36 represent the families owned at least one DVD player

n= 85 represent the total number of families

\hat p=\frac{36}{85}= 0.424 represent the estimated proportion of families owned at least one DVD player

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286

0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562

The 99% confidence interval would be given by (0.286;0.562)

8 0
3 years ago
Write an equation to match each graph:
Makovka662 [10]

Answer:

y=-|x+1|+1

Step-by-step explanation:

It's an absolute value function vertically flipped and shifted 1 unit to the left, 1 unit to the the top.

8 0
3 years ago
Please help as soon as possible
Mice21 [21]
1 kilometer = 1000 meters so 12 kilometers = 12000 meters

10 laps (400 meters/lap) = 4000 meters

12000/4000 = 3

Answer: 3 days
4 0
3 years ago
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