Find the volume........

Angle x is conterminal with angle y. If the measure of angle x is greater than the measure of angle y, which statement is true r

fiasKO [112]

9514 1404 393

Answer:

x = y + 360n, for any positive integer n

Step-by-step explanation:

Since x is greater than y, something must be added to y to get x. Angles have the same co-terminal ray at multiples of 360°. Then the amount added to y must be some multiple of 360°:

x = y + 360n . . . . . for positive integer n

8 0

2 years ago

Suppose that y varies inversely as x, and x=9 when y=15. Find the value for k and write the function. Group of answer choices La

Radda [10]

Answer:

see explanation

Step-by-step explanation:

Given that y varies inversely as x then the equation relating them is

y = $\frac{k}{x}$ ← k is the constant of variation

To find k use the condition that x = 9 when y = 15

15 = $\frac{k}{9}$ ( multiply both sides by 9 )

k = 135

y = $\frac{135}{x}$ ← equation of variation

8 0

2 years ago

It is important that face masks used by firefighters be able to withstand high temperatures because firefighters commonly work i

USPshnik [31]

Answer:

The 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574). This means that we are 93% sure that the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 55, \pi = \frac{24}{55} = 0.4364$

93% confidence level

So $\alpha = 0.07$ , z is the value of Z that has a pvalue of $1 - \frac{0.07}{2} = 0.965$ , so $Z = 1.81$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4364 - 1.81\sqrt{\frac{0.4364*0.5636}{55}} = 0.3154$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4364 + 1.81\sqrt{\frac{0.4364*0.5636}{55}} = 0.5574$

The 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574). This means that we are 93% sure that the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574).

8 0

2 years ago

Small gift box to hold a ring shaped like a cube the box measures 1.4 inches on each side what is the volume of the gift box rou

d1i1m1o1n [39]

So first you do length x width x height in this case 1.4 x 1.4 x 1.4

5 0

2 years ago

Expand and simplfy (2x+1)(x+3)

Nina [5.8K]

Answer:

(2x+1)(x+3)

2x(x+3)+1(x+3)

2x2+6x+x+3

2x2+7x+3 (2x2 means two x square)

if you want you can also multiply 2x+3 by x+3

like this:

(2x+1)(x+3)

x(2x+1)+3(2x+1)

2x2+x+6x+3

2x2+7x+3 (2x2 means two x square)

They will both give you the same answer.

5 0

2 years ago