Answer: 4.8 gallons to 7.6 gallons (appex)
Step-by-step explanation:
Answer:
10 centimeters.
Step-by-step explanation:
First, we need to remember what's the formula to get the volume of a rectangular solid and a cube.
The volume of the first equals:
Volume = Length x Width x Height
While the volume of the cube is:
where a is the edge.
We are given the measures of the rectangular solid so we can calculate its volume:
cubic cms.
Now, we know that both the volume of the rectangular solid and the cube are the same so we will use this information to calculate the edge of the cube.
![1000=a^3 \\\sqrt[3]{1000} =\sqrt[3]{a^3} \\10=a](https://tex.z-dn.net/?f=1000%3Da%5E3%20%5C%5C%5Csqrt%5B3%5D%7B1000%7D%20%3D%5Csqrt%5B3%5D%7Ba%5E3%7D%20%5C%5C10%3Da)
Thus the length of an edge of the cube is 10 centimeters
Answer:
y = 0.5x
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 0.5x - 2 ← is in slope- intercept form
with slope m = 0.5
Parallel lines have equal slopes, thus
y = 0.5x + c ← is the partial equation
To find c substitute (- 2, 1) into the partial equation
- 1 = - 1 + c ⇒ - 1 + 1 = 0
y = 0.5x + 0 , that is
y = 0.5x ← equation of parallel line
The answer is 30 because i had this on a test
Answer:
a.) one sample t test
b.) H0 : μ = 59.3
c.) H1 : μ > 59.3
d.) μ = 59.3 ; σ = 39.84
e.) xbar = 79.4 ; s = 61.36
Test statistic = 3.16
Step-by-step explanation:
Given the sample data:
49.00 49.00 49.00 49.00 49.00 63.00 63.00 63.00 63.00 63.00 199.00 199.00 199.00 199.00 199.00 38.00 38.00 38.00 38.00 38.00 48.00 48.00 48.00 48.00 48.00 49.00 63.00 199.00 38.00 48.00
Sample size, n = 30
Using calculator :
xbar from the data above = 79.4
Standard deviation = 61.359
H0 : μ = 59.3
H1 : μ > 59.3
Test statistic :
(Xbar - μ) ÷ (σ/sqrt(n)
σ = 34.83
(79.4 - 59.3) ÷ (34.83/sqrt(30))
20.1 ÷ 6.359
Test statistic = 3.16
