Answer:
You could use a measurement of 4 centimeters.
The valid range is 2 < x < 8 cms.
Step-by-step explanation:
The third side must either be less than 3+5, that is less than 8 cms and it must be greater than (5-3) = 2 cms. If it is any other length we could not construct a triangle.
Answer:
Conclusion : People ≠ 20% don't know about their credit score.
Step-by-step explanation:
Hypothesis is testing a statement for its statistical significance.
Null Hypothesis (H0) implies 'no difference from tested value', Alternate hypothesis (H1) implies 'significant difference from tested value'
Let % of people knowing their credit score = CS
H0 : CS = 20
H1 : CS ≠ 20
If the null hypothesis is rejected, it implies that we reject the claim that CS i.e '% of americans knowing their credit score = 20%'. So, the alternate hypothesis is accepted, i.e we conclude that '% americans knowing their credit score ≠ 20%'.
Answer:
D. 11
Step-by-step explanation:
T = total savings
w = number of weeks
Paige:
T = 350 + 25w
Cindy:
T = 190 + 40w
In how many weeks will Cindy have more money in her savings than Paige
Equate the total savings of both of them
350 + 25w = 190 + 40w
Collect like terms
350 - 190 = 40w - 25w
160 = 15w
w = 160/15
w = 10.67
Approximately,
In 11 weeks, will Cindy have more money in her savings than Paige
Check:
Paige:
T = 350 + 25w
= 350 + 25(11)
= 350 + 275
= 625
Cindy:
T = 190 + 40w
= 190 + 40(11)
= 190 + 440
= 630
Answer: 2 more calories skiing
Step-by-step explanation:
First find the slope of each line.
Slope of Skiing:
= (Y₂ - Y₁) / (X₂ - X₁)
= (400 - 240) / (50 - 30)
= 8
= 8 calories per minute
Slope of Hiking
= (360 - 120) / (60 - 20)
= 6
= 6 calories per minute
Difference:
= 8 - 6
= 2 more calories skiing
The slope of these coordinates is - 3/5