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Find a basis and the dimension of the subspace W of R³ where
a) W = (a, b, c) : a + b - c = 0,
b) W = (a, b, c) : a = b = c,
c) W = (a, b, c) : c = 3a.
A group of the following students got the following score in a test:6,9,12,15,and18 compute the mean of the sample mean
A nature reserve has an area of 150000 hectares,35% of which comprises acacia thornveld. A particular species of browsing mammal is confined to this acacia thornveld,which can support maximum of one individual per 20 hectares
If you introduce 56 individuals into reserve in 2015,What must bethe fundamental reproductive rate(R) be for the population to reach 1314 by the year 2025?
Determine the second derivative of g(x)=sin(2x³-9x)
Solve
"u_t=u_{xx}" and boundary conditions are "u_x(0,t)=u(1,t)=0".
H 0 : = 84
H a : 84
= 87, = 10, n = 35, = 0.05
Rashmi Dhar, manufacturer, and seller of ‘Kashmiri- kahwa’ through E-commers websites. She wanted to know the effect of her spending in advertisement of ‘Kahwa’ on the sales, along with the other factors; ‘number of sales representatives’, ‘customer-satisfaction ratings’. For this research she has gathered the sales data in the following table, along with other necessary information. Part 1) Define dependent and independent variables Part 2) Write regression model equation only. Part 3) Run regression analysis in EXCEL (copy all those tables from EXCEL and paste them in your document). Part 4) Write the Interpretation of Regression statistics-table, ANOVA- table. Write an interpretation (by referring P-value/ t-stat) on significant effect of independent variables on sales
Region/ Districts Sales of Kahwa (in INR) Spending in advertise (in INR) number of sales representatives (person) customer-satisfaction ratings (1=highly dissatisfied to 5 = highly satisfied Kupwara 55328 5512 1 1 Badgam 56251 8337 1 1 Leh-ladakh 57126 8788 4 1 Kargil 58739 8828 5 1 Punch 66984 9050 5 2 Rajouri 70676 10150 7 2 Kathua 73206 11236 8 2 Baramula 80571 12538 8 3 Bandipore 93168 13161 8 3 Srinagar 99432 13448 9 4
The mean weight of the luggage carried into an airplane by individual passengers at Taguegarao City Airport is 19.8 kilograms. A statistician takes a random sample of 110 passengers and obtain a sample mean weight of 18.5 kilograms with standard deviation of 8.5 kilograms. Test the claim at a=0.01 level of significance.
1.2.Explain how and who came up with these algebraic concepts or used these algebraic concepts deloped over time.
1.2.1 decimal number system
1.2.3 abstract symbol s
1.2.3 negative numbers
1.3 Describe the stages in the development of symbolic algebra. Give at least one example of equation for each of these stages.
Use Green’s Theorem to evaluate
∮C(x − 2y2) dx + (y4 + 2xy) dy where C consists of the line segment
from (0, 2) to (0, 4), followed by the curve with parametric equations x = 4 cos t, y = 4 sin t from (0, 4) to (−2, 2√3), then the line segment from (−2, 2√3) to (−1, √3), and finally the curve with parametric equations x = 2 sin t, y = 2 cos t from (−1, √3) to (0, 2).
#340153 on Dec 2023