Sec (x) = -2.3. If x and y are complementary, what is csc (y)?

The graph of the w=equation x+3y=6 intersects the y axis at the point whose coordinate are

nevsk [136]

Y intercept = when x = 0
Plug in x = 0
0 + 3y = 6
3y = 6, y = 2

Solution: a, (0,2)

8 0

3 years ago

The volume of a cube is 1,000 cubic meters. What is the lenght of each side of the cube

Alona [7]

Answer:

10 cubic meters^3

Step-by-step explanation:

10*10*10=1000 cubic meters

4 0

4 years ago

Claire owns a local bakery and sells boxes of muffins. Each box contains 6 muffins. If she sells 7 boxes of muffins by closing t

Mkey [24]

Answer: Claire made 42 muffins by closing time

Step-by-step explanation:

Pretty simple math just multiply 6 muffins by 7 boxes and you get your answer.

6 0

3 years ago

National data in the 1960's showed that about 44% of the adult population had never smoked cigarettes. In 1995 a national health

Marta_Voda [28]

Answer:

a) $0.52 - 1.96\sqrt{\frac{0.52(1-0.52)}{881}}=0.487$

$0.52 + 1.96\sqrt{\frac{0.52(1-0.52)}{881}}=0.553$

The 95% confidence interval would be given by (0.487;0.553)

b) After see the confidence interval we see that the lower limits 0.487>0.44 with 0.44 or 44% the estimated proportion for 1960, we can conclude that we have a significant increase in the adult proportion had never smoked cigarettes.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

Solution to the problem

Part a

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 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

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:

$0.52 - 1.96\sqrt{\frac{0.52(1-0.52)}{881}}=0.487$

$0.52 + 1.96\sqrt{\frac{0.52(1-0.52)}{881}}=0.553$

The 95% confidence interval would be given by (0.487;0.553)

Part b

After see the confidence interval we see that the lower limits 0.487>0.44 with 0.44 or 44% the estimated proportion for 1960, we can conclude that we have a significant increase in the adult proportion had never smoked cigarettes at 5% of significance.

4 0

4 years ago

Explain the difference between an inequality with OR and an inequality with AND.

maksim [4K]

Inequality with OR: We use OR when you have two or more cases that could or not happen at the same time, for example with inequalities when you have an OR you use the union of the sets given by the inequalities. for example if we have the following two inequalities

$x\ge1\text{ or x}\leq0$

it will represent the union of the set of numbers that are greater than one with the set of the numbers that are less than zero.

Inequality with AND: We use AND when you need that all the conditions holds at the same time (here is not accepted that only one holds) for example with inequalities when you have AND you need to use the intersection of the sets given by the inequalities. For example:

$x\ge2\text{ AND x}\leq10$

will represent the intersection of the set of number that are greater than two and less than ten AT THE SAME TIME

4 0

1 year ago