Answer:
The equation which equates the two is M = 
A human with a body mass of 80 kilograms will have a blood mass of 4 kilograms.
Step-by-step explanation:
It is said that the blood mass is proportional to the body mass.
We can say that the blood mass of a mammal is M, and that the body mass of a mammal is B.
Since the two are proportional we can write
M ∝ B , or M = kB where k is the constant of proportionality.
Using the given values for a rhinoceros we can write
150 = k × 3000
Therefore k = 
Therefore the equation which equates the two is M =
A human with a body mass of 80 kilograms will have a blood mass of
= 
Answer:
A) 2
B) 0.239
Step-by-step explanation:
Part A) Expected value of a binomial distribution is the number of trials times the probability of success.
X = np
Given X = 1 and p = 0.65:
1 = 0.65n
n = 1.54
Rounding up, a salesperson should expect 2 customers until he finds a customer that makes a purchase.
Part B) Use binomial probability.
P = nCr pʳ qⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1−p).
Given n = 3, r = 1, p = 0.65, q = 0.35.
P = ₃C₁ 0.65¹ 0.35³⁻¹
P ≈ 0.239
Or, using binompdf function in a calculator:
binompdf(n, p, r)
= binompdf(3, 0.65, 1)
≈ 0.239
Find the hypotenuse.a square+ b square=c square. for both. and which ever is higher is harder to climb
Answer:
i)
Find the attached
ii)
The mathematical model that best fits the data is;
The quadratic model
Step-by-step explanation:
i)
A scatter-plot can easily be constructed using applications such as Ms. Excel.
In Ms. Excel, enter the data into any two adjacent columns. Next, highlight the data, then click the insert ribbon and select the scatter-plot option.
Excel returns a scatter-plot chart as shown in the attachment below.
ii)
After obtaining the scatter-plot, we shall need to add a trend line in order to determine the mathematical model that best fits the data given.
Click anywhere inside the chart, then select the design tab under chart tools. Click on the Add Chart element in the upper left corner of the excel workbook and select more trend-line options. This feature will enable us to fit any trend-line to our data.
Select any trend line option ensuring you check the boxes; Display Equation on chart and Display R-squared value on chart.
Find the attached for the various trend-lines fitted.
The mathematical model that best fits the data is;
The quadratic model
Since it has the largest R-squared value of 1.00
Answer:
Step-by-step explanation:
17) HI ≅ UH ; GH ≅ TU ; GI ≅ TH
ΔHGI ≅ ΔUTH by Side Side Side congruent
∠G ≅ ∠T ; GI ≅ TH ; ∠GIH ≅ ∠THU
ΔHGI ≅ ΔUTH by Angel Side Angle congruent
19) IJ ≅ KD ; IK ≅ KC ; KJ ≅ CD
ΔIJK ≅ ΔKDC by Side Side Side congruent
∠J ≅ ∠D ; IJ ≅ KD ; ∠I ≅ ∠DKC
ΔIJK ≅ ΔKDC by Angle Side Angle congruent
