# (1) True or False? Explain your answer. The signs of the cosecant function will be the same as the sine function in each of the four quadrants.

True

Step-by-step explanation:

A number and its reciprocal have the same sign.

The cosecant is the reciprocal of the sine.

Therefore, the cosecant has the same sign as the sine.

The signs of the cosecant function will change in each quadrant, making the statement false.

### Explanation:

The statement is false. The cosecant function, csc(x), is defined as the reciprocal of the sine function, so csc(x) = 1/sin(x). Since the sine function changes sign between the different quadrants, the cosecant function will also change sign in each quadrant. In the 1st and 3rd quadrants, both the sine and cosecant functions have positive values. In the 2nd and 4th quadrants, both functions have negative values.

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## Related Questions

Spencer earns $12.25 per hour and$18.30 for each hour over 40. Howmuch does Spencer earn if he works 48 hours in a week.

Spencer would earn $636.4 Step-by-step explanation: Spencer makes$12.25 per hour we would multiply 12.25 by 40 and then do 8x18.30 for the rest 8 hours and we get 146.4 and when we add them together our total is = 636.4

A souvenir mug sells for $8.00 at a hotel gift store. The sales tax on the mug is$0.44.What is the sales tax rate? (Remember, sales tax rate is a percent)

The sale tax rate is 5.5%
Proof : 8 x 5.5% = $8.44 At a large bank, account balances are normally distributed with a mean of$1,637.52 and a standard deviation of $623.16. What is the probability that a simple random sample of 400 accounts has a mean that exceeds$1,650?

And we can use the complement rule and we got:

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the bank account balances of a population, and for this case we know the distribution for X is given by:

Where and

Since the distribution of X is normal then the distribution for the sample mean is given by:

And we can use the z score formula given by:

And using this formula we got:

And we can use the complement rule and we got:

Step-by-step explanation:

Since the account balances at the large bank are normally distributed.

we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = account balances.

µ = mean account balance.

σ = standard deviation

From the information given,

µ = $1,637.52 σ =$623.16

We want to find the probability that a simple random sample of 400 accounts has a mean that exceeds \$1,650. It is expressed as

P(x > 1650) = 1 - P(x ≤ 1650)

For x = 1650,

z = (1650 - 1637.52)/623.16 = 0.02

Looking at the normal distribution table, the probability corresponding to the z score is 0.51

P(x > 1650) = 1 - 0.51 = 0.49

There are 30 students in a class, including 16 boys. The ratio of girls to boys would be 7 over 8.

i dont understand- theres 3 ways u can put them tho 7:8 , 7 to 8 , or 7/8

Step-by-step explanation:

An ESP experiment used the "Ten Choice Trainer." This is like the Aquarius, but with 10 targets instead of 4. Suppose that in 1,000 trials, a subject scores 173 correct guesses. Required:
a. Set up the null hypothesis as a box model.
b. The SD of the box is:_______
c. Make the z-test.
d. What do you conclude?

a. The H0 is number of correct guesses is 173

b. Standard Deviation of box is 0.3

c. z-test value is 7.70

d. The difference does not appear due to chances of Variation.

Step-by-step explanation:

The standard deviation is :

= 0.3

The standard deviation of the box is 0.3 approximately.

Z-score is

Z-score =

the value of z-score is 7.70.

What times what equals -20 and those same numbers added together equals 8