Find the value of x, given the area of the quadrilateral.
2 answers:
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After 10 weeks, the boys will have same amount in savings.
Step-by-step explanation:
Given,
Roberto already have $30.
Amount saved each week = $5
Let,
x be the number of weeks.
R(x) = 30+5x
Amount saved by Jack each week = $8
J(x) = 8x
For same amount, the functions will be equal.
R(x) = J(x)
Dividing both sides by 3
After 10 weeks, the boys will have same amount in savings.
Keywords: functions, division
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<h2>Answer with explanation:</h2>
Given : In a restaurant, the proportion of people who order coffee with their dinner is p.
Sample size : n= 144
x= 120
The null and the alternative hypotheses if you want to test if p is greater than or equal to 0.85 will be :-
Null hypothesis : [ it takes equality (=, ≤, ≥) ]
Alternative hypothesis : [its exactly opposite of null hypothesis]
∵Alternative hypothesis is left tailed, so the test is a left tailed test.
Test statistic :
Using z-vale table ,
Critical value for 0.05 significance ( left-tailed test)=-1.645
Since the calculated value of test statistic is greater than the critical value , so we failed to reject the null hypothesis.
Conclusion : We have enough evidence to support the claim that p is greater than or equal to 0.85.