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Alona [7]
3 years ago
10

A sample of 2,845 auto workers was selected to learn if they would go on strike. Over 50% of those in the sample declared they w

ould strike. We can assume that the majority of all auto workers favor a strike since the number sampled is large and those in favor of a strike are over 50%. True False
Mathematics
1 answer:
bogdanovich [222]3 years ago
5 0

Answer:

This condition is true.

Step-by-step explanation:

A sample of 2,845 auto workers was selected to learn if they would go on strike.

Over 50% of those in the sample declared they would strike.

We can assume that the majority of all auto workers favor a strike. This is true because, in the sample, it is declared that 50% of workers would strike.

And this sample represents the whole majority or population. Hence we can say that a majority of all auto workers favor a strike.

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In 1995, Hazel was 25 years older than her son Gary. In 2022, Hazel's age will be 150% of Gary's age. How old were they in 1995?
Kitty [74]
So find the difference between 1995 and 2022 to make it easier
2022-1995=27

so the rephrased question is
when hazel was x years old, she was 25 years older than son gary who was y old at that time (equation is x is 25 more than y or x=25+y)
in 27 years, (this means x+27 and y+27) hazel's age will be 150% of gary's age (x+27= 150% of y+27)
percent means parts out of 100  so 150%=150/100=15/10=1.5
'of' in math means multiply so
the equations are
x=25+y
x+27=1.5(y+27)
subsitute 25+y for x in second euation
25+y+27=1.5(y+27)
add like terms
y+52=1.5(y+27)
I personally dislike decimals to multiply both sides by 2 to make 2 0.5's or 1 (you are technically supposed to distribute or divide both sides by 1.5) so
2y+104=3(y+27)
distribute
2y+104=3y+81
subtract 2y from both sides
104=y+81
subtract 81 from both sides
23=y
subsitute
x=25+y
x=25+23
x=48


Hazel was 48 and Gary was 23 in the year of 1995
5 0
3 years ago
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