For the school carnival, Pietro built a clear plastic container to be used in a game called Guess How Many Marbles. The containe
r is to be filled with marbles that are 12 millimeters in diameter. Find the volume of the entire container.
1 answer:
Answer:
135 cm³
Step-by-step explanation:
In the figure attached, the container is shown. It is composed by a triangular prism and a rectangular prism.
triangular prism volume = base area* height
The base is a rectangular triangle, then:
triangular prism volume = 6*7*(1/2)*5 = 105 cm³
rectangular prism volume = 3*2*5 = 30 cm³
So, the volume of the entire container is 105 + 30 = 135 cm³
You might be interested in
Answer:
Step-by-step explanation:
Answer:
Null hypothesis be H₀ : μ = 100
Alternative hypothesis Hₐ : μ < 100
There is sufficient statistical evidence to suggest that the average location of Wade Tract is 100
Step-by-step explanation:
Here we have;
Let our null hypothesis be H₀ : μ = 100 Average location of trees in the Wade Tract is 100
Our alternative hypothesis becomes Hₐ : μ < 100 at 95% confidence level
Proposed average location in Wade Tract, μ = 100
Sample mean, = 99.74
Standard deviation, s = 58
Sample size, n = 584
The t test formula is therefore;
Therefore, with df = 584 -1 = 583, and α = (1 - 0.95)/2 = 0.025
We have = -1.65
Plugging in the values into the t test formula, we have t = -0.108338, from which the p-value is given as p = 0.4569 which is much more than the value of α, therefore, we accept the null hypothesis as follows;
There is sufficient statistical evidence to suggest that the average location of Wade Tract = 100.
first choice is correct
We have been given an expression . We have been given steps how Chris tried to solve the given expression. We are asked to choose the correct option about Chris's work.
Let us simplify our given expression.
Using exponent property, , we cab rewrite our given expression as:
Now we will use exponent property to further simplify our expression.
Therefore, Chris made mistake in step 2.