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joja [24]
2 years ago
15

If sin(x) =-1/2 and tan(x) is negative what is cos(2x)

Mathematics
1 answer:
Keith_Richards [23]2 years ago
3 0

Answer:

positive

Step-by-step explanation:

Using the acronym ASTC (all students take calculus), this means that if sin and tan are negative, they must be in the fourth quadrant, which means that cos is positive.

ASTC is an acronym to help students remember which of the three basic trigonometric functions are positive in which quadrants.

A: all

S: sin

T: tan

C: cos

It starts from the first quadrant: all the sin, tan, cos are positive in the first quadrant, only sin is positive in the second quadrant, only tan is positive in the third quadrant, only cos is positive in the fourth quadrant.

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An industrial psychologist conducted an experiment in which 40 employees that were identified as "chronically tardy" by their ma
iren [92.7K]

Answer:

The probability plot of this distribution shows that it is approximately normally distributed..

Check explanation for the reasons.

Step-by-step explanation:

The complete question is attached to this solution provided.

From the cumulative probability plot for this question, we can see that the plot is almost linear with no points outside the band (the fat pencil test).

The cumulative probability plot for a normal distribution isn't normally linear. It's usually fairly S shaped. But, when the probability plot satisfies the fat pencil test, we can conclude that the distribution is approximately linear. This is the first proof that this distribution is approximately normal.

Also, the p-value for the plot was obtained to be 0.541.

For this question, we are trying to check the notmality of the distribution, hence, the null hypothesis would be that the distribution is normal and the alternative hypothesis would be that the distribution isn't normal.

The interpretation of p-valies is that

When the p-value is greater than the significance level, we fail to reject the null hypothesis (normal hypothesis) and but if the p-value is less than the significance level, we reject the null hypothesis (normal hypothesis).

For this distribution,

p-value = 0.541

Significance level = 0.05 (Evident from the plot)

Hence,

p-value > significance level

So, we fail to reject the null or normality hypothesis. Hence, we can conclude that this distribution is approximately normal.

Hope this Helps!!!

7 0
3 years ago
Where is the hole for the following function located?,
d1i1m1o1n [39]

4Answer:5

Step-by-step explanation:

4 0
2 years ago
Which function is represented by the graph below?
UkoKoshka [18]

Answer:

  f(x) = 3^x -3

Step-by-step explanation:

The horizontal asymptote of an unmodified exponential function is y=0. Here, the horizontal asymptote is y=-3, so your answer will be of the form ...

  f(x) = [some growing exponential term] -3

Only the second selection has this form. It also matches the given graph at x=1.

6 0
3 years ago
Games Galore Super Store buys the latest video game at a wholesale price of $30.00. The markup rate at Game's Galore Super Store
marishachu [46]

Answer:

<h2>$42</h2>

Step-by-step explanation:

By definition, Markup is the difference between a product's selling price and cost as a percentage of the cost.

For example, if a product sells for $125 and costs $100, the additional price increase is ($125 – $100) / $100) x 100 = 25%.

Given data

firstly let us solve for 40% of $30

=40/100*30

=0.4*30

=$12

therefore the sale price will be the markup rate plus the initial price

<em>Hence the you will have to pay 12+30=$42</em>

6 0
2 years ago
(5x^4-2x^3-7x^2-39)÷(x^2+2x-4)
lana [24]

Using the Polynomial Division: Divide 5x^{4}−2x^{3} -7x^{2} -39 by x^{2} +2x−4 using long polynomial division.

Answer to the Polynomial Division: 5x^{2} -12x+37+\frac{-122x+109}{x^{2}+2x-4}


4 0
2 years ago
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