A^2 + b^2 = c^2...a and b are the legs and c is the hypotenuse
20^2 + 21^2 = c^2
400 + 441 = c^2
841 = c^2
sqrt 841 = c
29 = c <== third straw will be 29 cm
Answer:
Reasonable estimation for constant of variation is 0.25 kWh per day.
Step-by-step explanation:
We are given the following information in the question:
- The graph represents the function where electricity usage.
- Electricity usage in kilowatts per hour of a clock radio varies directly with the number of days.
- The x-axis shows the number of days and usage in kilo-watt per hour is showed on the y-axis.
- Some coordinates of the graph are: (0,0), (2,0.5) and (6,1.5)
Formula for constant of variation:

Putting the values from the coordinates (2,0.5) and (6,1.5), we get:

Hence, reasonable estimation for constant of variation is 0.25 kWh per day.
Answer:
The herbicide has no impact on fish
Step-by-step explanation:
Experimental research includes to divide the concerned group 'fishes' here into 'treatment' & 'control' group, to study impact of a treatment. Hypothesis test the statistical significance of propositions. Null hypothesis signifies no impact, alternate hypothesis signifies impact.
Let averages enzyme level of treatment & control be Xt & Xc
- Null Hypothesis [H0] : Xt = Xc, or Xt - Xc = 0
- Alternate Hypothesis [H1] : Xt ≠ Xc, or Xt - Xc ≠ 0
If hypothesis test suggests that there is no significant difference between treatment & control group enzyme level, so we reject H0 & accept H1. It implies that the herbicide has no significant impact on fishes enzymes.
Answer: The lowest value: 100 and highest value: - 150 .
If we were to build the box plot for this data, the box would stretch between
and
.
Step-by-step explanation:
We know that the box-plot is the graphical way to represent the five -number summary (Minimum value , First quartile
, Median , Third Quartile
, Maximum value).
Where , the box streches between the first quartile
and the third quartile
.
Given : The cost of taking your pet aboard the air flight with you in the continental US varies according to the airlines.
The five number summary for prices based on a sample of major US airlines was:
Min = 60,

Median = 110

Max = 150
If we were to build the box plot for this data, the box would stretch between
and
.
Hence, the lowest value: 100 and highest value: 125 .
Answer:
Angeline will spend $70.77
Step-by-step explanation:
y = 8.09(5) + 3.79(8)
y= 30.32 + 40.45
y = 70.77