If a certain number x is subtracted from 8, it will be equal to two less than four times the same number. The
correct equation for the above sentence is:
[1] x − 8 = 4x − 2
[2] 8 − x = 4 − 2x
[3] 8 − x = 4x − 2
[4] x − 8 = 2x − 4
Match the terms in column B with a statement in column A
A B
1. In equation 7x + 2y − 4 = 45,4 is the a. Base
2. The number in front of a variable b. Product
3. When 2 numbers are multiplied the answer is the c. Coefficient
4. In equation 53 = 125,5 is the d. Constant
[1] 1-d 2-b 3-a 4-c
[2] 1-d 2-c 3-b 4-a
[3] 1-a 2-c 3-b 4-d
[4] 1-c 2-b 3-d 4-a
Carol has 18 fruits in a basket, 3 of them are apples, x of them are pineapples and the rest are oranges. An expression in terms of x for the number of oranges in the basket is... [1] 18 − 3x [2] 18 − 3 + x [3] 15 − x [4] 3x − 18
Match the terms in column B with a statement in column A
A B
1. Natural numbers are also called a. Non-negative integers
2. The most fundamental system of numbers b. Positive integers
3. Counting numbers are also called c. Real numbers
4. All points on a number line represent a set of d. Natural numbers
[1] 1-c 2-d 3-b 4-a
[2] 1-c 2-d 3-a 4-b
[3] 1-b 2-c 3-d 4-a
[4] 1-b 2-d 3-a 4-c
Identify the relevant elasticity concept for the given event. Then, compute the measure of elasticity using average prices and quantities in your calculations. In all cases, assume that these are ceteris paribus changes.
As average household income in Canada increases by 10 percent, annual sales of Toyota Camrys increase from 56,000 to 67,000. The relevant elasticity concept is _________ and the computed elasticity is ___________
Rounding:
a) 34.18371 to three decimal digits,
b) 3.0062 to two decimal digits,
c) 10.395 to one decimal digit, and
d) 19.489 to the nearest integer
Gives the following
[1] a) 34.184 b) 3.00 c) 10.3 d) 18
[2] a) 34.183 b) 3.01 c) 10.4 d) 19
[3] a) 34.184 b) 3.01 c) 10.4 d) 19
[4] a) 34.183 b) 3.00 c) 10.3 d) 20
First read in an input value for variable numVals. The. Read numVals integer from input and output each integer on a newline after the string “position-“
Ex input 2, 80, 45,
output position-80
position-45
#include <iostream>
musing namespace std;
int main() {
Int numVals;
for(int i=0;I<numVals;I++)
Researcher is using data for a sample of 10 observations to estimate the relation
between consumption expenditure and income. Preliminary analysis of the sample data
produces the following data.
∑xy = 700 , 1000 2 ∑x = , ∑X = 100
∑Y = 200
Where i x Xi X
__
= − and
__
y = Yi − Y
a. Use the above information to compute OLS estimates of the intercept and slope
coefficients and interpret the result
b. Calculate the variance of the slope parameter
c. Compute the value R
2
(coefficient of determination) and interpret the result
d. Compute 95% confidence interval for the slope parameter
e. Test the significance of the slope parameter at 5% level of confidence using t-test
Emily and Andy each go to a hardware store to buy wire. The table shows the cost y in dollars for x inches of the wire they need. Emily needs 22 feet of the wire. Andy needs 13 yards of the wire. How much will each of them spend for wire?
At 2.00K the vapour pressure of liquid helium is 3173 PA and the heat of vaporisation is 92.048J/mol. Calculate the Lowest temperature which can be obtained by pumping on a a Dewar flask of liquid helium with a pumping system which will achieve an ultimate steady-state pressure of 133.32 PA. You may assume that the molar volume of the liquid is negligible and the vapour behaves like an ideal gas.
b) If the heat into the Dewar is 4.184J per minute, estimate the pumping speed in m^3 per minute at 133.32 PA and 309K ( temperature of gas at the pump).