Answer:
a) 0.00019923%
b) 47.28%
Step-by-step explanation:
a) To find the probability of all sockets in the sample being defective, we can do the following:
The first socket will be in a group where 5 of the 38 sockets are defective, so the probability is 5/38
The second socket will be in a group where 4 of the 37 sockets are defective, as the first one picked is already defective, so the probability is 4/37
Expanding this, we have that the probability of having all 5 sockets defective is: (5/38)*(4/37)*(3/36)*(2/35)*(1/34) = 0.0000019923 = 0.00019923%
b) Following the same logic of (a), the first socket have a chance of 33/38 of not being defective, as we will pick it from a group where 33 of the 38 sockets are not defective. The second socket will have a chance of 32/37, and so on.
The probability will be (33/38)*(32/37)*(31/36)*(30/35)*(29/34) = 0.4728 = 47.28%
Answer:
- {thermometer, fridge, rusty nail, deoderant}
- {credit card, face wash, tweezers, shovel}
- {clothes, glass, car, greeting card}
Step-by-step explanation:
The options that will be equivalent to T will have to be the options that have the same Cardinality as T. Cardinality refers to the number of elements in a set and in the set T, there are 4 elements being Tinkey-Winky, Laa-Laa, Dipsy, Po so the Cardinality is 4.
The equivalent sets would therefore be sets with a cardinality of 4 as well and those are;
- {thermometer, fridge, rusty nail, deoderant}
- {credit card, face wash, tweezers, shovel}
- {clothes, glass, car, greeting card}
Let

be the number of hours that the waitress works in the evening.
We know for our problem that she works

in the afternoon and that she works <span>1.75 hours less in the afternoon than in the evening, so:
</span>

<span>Since </span>

, we can rewrite our expression:


We can conclude that she works 3.375 hours in the evening, or expressed as a mixed fraction:

hours.
Answer:
(a)
(b)
Step-by-step explanation:
Alphaville's Budget Surplus Model is 
Betaville's Budget Surplus Model is 
We want to determine the expression that shows how much greater Alphaville’s annual budget surplus is than Betaville’s for a particular amount of tax revenue.
- To do this, we subtract Betaville's Model from Alphaville's model.

Opening the brackets

Collect like terms and simplify

The expression that shows how much greater Alphaville's Budget is:

(b) If the tax revenue that year in each town is $75,000
We want to evaluate the expression derived above when the tax revenue that year in each town is $75,000 i.e.at x=75000

Answer:

Step-by-step explanation:
Let consider that door has a height of 5 feet and a width of 3 feet. The scale factor is:


The height of the cabinet is:


