Which of the following best describes the set of even intergers from 8 to 16?

Mathematics

1 answer:

telo118 [61]3 years ago

3 0

ANSWER:

A. { 8, 10, 12, 14, 16 }

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Samples of a cast aluminum part are classified on the basis of surface finish (in microinches) and edge finish. The results of 1

liubo4ka [24]

Answer:

a) P (A)= 88/102= 0.8627

(b) P (B)= 89/102= 0.8725

c) P (A`) = 14/102 = 0.1372

(d) P (A∩B) = 84/102 =0.8235

(e) P(AUB)= 93/102 = 0.9117

(f)P (A`UB) = 98/102= 0.96078

Step-by-step explanation:

edge

finish excellent good Total

(A )surface finish excellent 84 4 88

good ( B) ⇵ 5 9 14

Total 89 13 102

a) Upper P left-parenthesis Upper A right-parenthesis equals

P (A)= 88/102= 0.8627

All the elements of set A = 84+4= 88

(b) Upper P left-parenthesis Upper B right-parenthesis equals

P (B)= 89/102= 0.8725

All the elements of set B = 84+5= 89

c) Upper P left-parenthesis Upper A prime right-parenthesis equal

P (A`) = 14/102 = 0.1372

All the elements of Universal set U which are not elements of set A = 102- 88= 14

(d) Upper P left-parenthesis Upper A intersection Upper B right-parenthesis equals

P (A∩B) = 84/102 =0.8235

Only those elements of set A and set B which are common

(e) Upper P left-parenthesis Upper A union Upper B right-parenthesis equals

P(AUB)= 93/102 = 0.9117

Totalling elements of set A and B= 88+5= 93

(f) Upper P left-parenthesis Upper A prime union Upper B right-parenthesis equals

P (A`UB) = 98/102= 0.96078

All the elements of Universal set U which are not elements of set A and the elements of Set B = 5+9+ 84= 98

6 0

3 years ago

Bill Mason is considering two job offers. Job 1 pays a salary of $41,300 with $5,525 of nontaxable employee benefits. Job 2 pays

kupik [55]

Answer:

To Calculate the monetary value of both jobs, you would have to calculate the percent tax rate of each salary and add the nontaxable benefit after taxes.

Step-by-step explanation:

Reminder: since the 25% is a tax rate which we need to subtract from the salary, 75% would be what is left over from the salary after taxes.

Job 1: Job 1 pays a salary of $41,000 and $5,525 of nontaxable benefits. So we calculate the 75% that is left after taxes and add the benefits afterwards.

$(41,000 * 0.75) + 5,525 = 36,275$

So the monetary value of Job 1 would be $36,275

Job 2: Job 2 pays a salary of $40,400 and $7,125 of nontaxable benefits. So we calculate the 75% that is left after taxes and add the benefits afterwards.

$(40,400*0.75) + 7,125 = 37,425$