Volume is a three-dimensional scalar quantity. The cost of the glass is $1312.24.
<h3>What is volume?</h3>
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given the colony must be able to take a volume of 200,000 cubic meters, therefore, the diameter of the hemisphere will be,
The volume of Hemisphere = (2/3)πr³
200,000 = (2/3) × π × R³
R = 45.7
The area of the base of the hemisphere is,
Area of the base = πR² = π×(45.7) = 6561.185 meters²
Given the cost of glass is $0.20 per square meter, therefore, the cost of the glass of the base will be,
Cost of glass = 6561.185 × 0.20 = $1312.24
Hence, the cost of the glass is $1312.24.
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Answer: it is 3 • (x + 4)
Step-by-step explanation: We move all terms to the left:
4-2x+8-(+5x)=0
We add all the numbers together, and all the variables
-2x-(+5x)+12=0
We get rid of parentheses
-2x-5x+12=0
We add all the numbers together, and all the variables
-7x+12=0
We move all terms containing x to the left, all other terms to the right
-7x=-12
x=-12/-7
x=1+5/7We move all terms to the left:
4-2x+8-(+5x)=0
We add all the numbers together, and all the variables
-2x-(+5x)+12=0
We get rid of parentheses
-2x-5x+12=0
We add all the numbers together, and all the variables
-7x+12=0
We move all terms containing x to the left, all other terms to the right
-7x=-12
x=-12/-7
x=1+5/7
Answer:
The initial distance between Wade and Alexandra is 240ft.
They walk towards each other.
Alexandra walks twice as fast as Wade.
Now, because they are walking towards each other, when the distance walked by both of them equals 240 ft, they will meet.
Then:
if Wade walks z ft, Alexandra walks 2*z ft.
So we have the equation:
Distance that Wade walked + Distance that Alexandra walked = 240ft
z + 2*z = 240ft
3*z = 240ft
z = 240ft/3 = 80ft
They will meet when Wade walks 80ft.
<span>77.5% can also be written as 77.5/100, but if you're the mathematical notation police, people don't like decimals on a fraction, sooo, an equivalent form is: </span>
<span>
= (77.5)/(100) * (2/2)
= 155/200
= 31/40
= 0 31/40 </span>
Answer:
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the sample standard deviation for the sample
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean weight is less than 4 ounces, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
