The manager of a convenience store wishes to determine how many cartons of eggs are damaged in shipment and delivery. for ten shipments of 1000 cartons of eggs, she examines every 50th carton to see how many cartons contain cracked eggs.
how large is the sample?

a.200 cartons

b. the 50th carton

c.1000 cartons

d. cannot determine from this information

Option a is correct

200 cartons is the sample size

Step-by-step explanation:

As per the statement:

For ten shipments of 1000 cartons of eggs, she examines every 50th carton to see how many cartons contain cracked eggs.

First examine how many cartons are examined per shipment.

For every 50th cartons, 1 are examined

For every 100th cartons, 2 are examined

then;

For 1000 cartons , we have 20 are examined.

Examined per shipment  = 20 cartons

We have to find how large is the sample.

Since, there are total 10 shipment

then;

For 10 shipment, we have

cartons

Therefore, 200 cartons  is the sample size

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: