All categories

2 years ago

Robert has a container in the shape of a cube with an edge length of 6.1 cm. What is the volume of the container?

Mathematics

2 answers:

quester [9]2 years ago

8 0

Volume=l x w x h
since all sides are the same in a cube 6.1 x 6.1 x 6.1=226.981

Setler79 [48]2 years ago

7 0

Since it's a cube all the side lengths are the same. So the calculation would be 6.1x6.1x6.1 or 6.1^3
V=226.981cm^3
V=Length x width x height

You might be interested in

Can someone help me with these math questions?

maw [93]

Answer:

1. SAS POSTULATE

2. ASA POSTULATE

3. SAS POSTULATE

4. SSS POSTULATE

5. SSA POSTULATE

6. AAS POSTULATE

8 0

2 years ago

from his house Mike rides his bike 2 miles west and 10 miles north to the gym how much shorter is it to the gym if he rode in a

Dmitry [639]

Using the rectangular route Mike rides 12 miles. If he rides diagonally the distance is √2²+10²=√4+100=√104.
The difference between the two routes is 12-√104=1.80 miles approximately.

4 0

3 years ago

X - 4y = 28 2x + y =2

Tresset [83]

X - 4y = 28
2x + y = 2

solve for x
y= -2x + 2
y= x/4 - 7

solve for system of equations
(4,-6)
x= 4, y= -6

7 0

2 years ago

25. Michael is studying population changes in two

g100num [7]

Answer: Average rates of change for Bird A is 0.045 and for Bird B is 3.816.

Step-by-step explanation: Through its graph, a function can be analyzed and be identified its attributes. Average Rate of Change is the ratio of change in the function values to the change of x-value, i.e., it is the slope of the function in a specific interval of x. With the Average it is possible to compare two function.

Average Rate of Change

Bird A:

For the interval [0,18]:

x₁ = 0 f(0) = 8.3

x₂ = 18 f(18) = 9.1

Average = $\frac{f(18) - f(0)}{x_{2} - x_{1} }$

Average = $\frac{9.1 - 8.3}{18 - 0}$

Average = 0.045

Bird B: y = 3.6(1.06)x

For the interval [0,18]:

x₁ = 0 y = 3.6(1.06)0 = 0

x₂ = 18 y = 3.6(1.06)18 = 68.7

Average = $\frac{f(18) - f(0)}{x_{2} - x_{1} }$

Average = $\frac{68.7 - 0}{18 - 0}$

Average = 3.816

The Average Rate for Change for Bird A is 0.045 and for Bird B is 3.816. This means that the population of Bird B increase in rate faster than the population of Bird A.

4 0

2 years ago

The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1500 voter

Nadusha1986 [10]

Answer:

p-value of the statistics = 0.0096

Step-by-step explanation:

Given - The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1500 voters in the town and found that 47% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is above 44%.

To find - Determine the P-value of the test statistic.

Proof -

Given that,

H0 : p = 0.44

Ha : p > 0.44

Now,

Test Statistics is

z = (p bar - p)/ sqrt(p(1-p)/n)

= (0.47 - 0.44) / sqrt(0.44(1-0.44)/1500)

= 2.34

⇒z = 2.34

So,

p-value = P(Z > z)

= P(Z > 2.34)

= 0.0096

⇒p-value = 0.0096

7 0

2 years ago