Answer:
T₂ = 421.4 K
Step-by-step explanation:
The temperature, T, of a given mass of gas varies inversely with its Volume,V.
We have,
V₁ = 98 cm³, T₁ = 28° C = (28+273) K = 301 K
V₂ = 70 cm₃
We need to find the new temperature of the gas. Using the above relation to find T₂.
Hence, the required temperature of the gas is 421.4 K.
An algebraic expression is a phrase in mathematics that consists of numbers such as 1,2,3 and the like, variables which are represented with letters and operations like addition, multiplication, subtraction and division. It is usually used to represent a certain situation which would relate the variables involved. To write the algebraic expression for the problem statement above, we do as follows:
Let x = number of consoles to be bought
y = number of games to be bought
z = number of controllers to bebought
C = total cost of all
The total cost would be equal to the sum of the price multiplied by the number of consoles, games and controllers bought. We write the algebraic expression as follows,
C = 299x + 59.99y + 29.99z
The perimeter of parallelogram WXYZ is 22
Mira is walking faster because her pace is faster than Milo
Step-by-step explanation:
a. The mean can be found using the AVERAGE() function.
x = 272.7
b. The standard deviation can be found with the STDEV() function.
s = 39.9
c. The t-score can be found with the T.INV.2T() function. The confidence level is 0.04, and the degrees of freedom is 26.
t = 2.162
d. Find the lower and upper ends of the confidence interval.
Lower = 272.7 − 2.162 × 39.9 = 186.5
Upper = 272.7 + 2.162 × 39.9 = 358.9
