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dedylja [7]
3 years ago
14

Find the absolute value of 4k-4.

Mathematics
1 answer:
lukranit [14]3 years ago
4 0
It might be k, since 4-4 is 0 and 0 has no absolute value.
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The diagram shows a 5 cm x 5 cm x 5 cm cube.
mylen [45]

Answer:

~8.66cm

Step-by-step explanation:

The length of a diagonal of a rectangular of sides a and b is

\sqrt{a^2+b^2}

in a cube, we can start by computing the diagonal of a rectangular side/wall containing A and then the diagonal of the rectangle formed by that diagonal and the edge leading to A. If the cube has sides a, b and c, we infer that the length is:

\sqrt{\sqrt{a^2+b^2}^2 + c^2} = \sqrt{a^2+b^2+c^2}

Using this reasoning, we can prove that in a n-dimensional space, the length of the longest diagonal of a hypercube of edge lengths a_1, a_2, a_3, \ldots, a_n is

\sqrt{a_1^2 + a_2^2 + a_3^2 + \ldots + a_n^2}

So the solution here is

\sqrt{(5cm)^2 + (5cm)^2 + (5cm)^2} = \sqrt{75cm^2} = 5\sqrt{3cm^2} \approx 5\cdot 1.732cm = 8.66cm

5 0
2 years ago
Read 2 more answers
Experience raising New Jersey Red chickens revealed the mean weight of the chickens at
Nikolay [14]

Answer:

p-value = 0.1277

Step-by-step explanation:

p-value is the probability value tell us how likely it is to get a result like this if the Null Hypothesis is true.

Firstly we find the mean and standard deviation of the given data set.

⇒ Mean = \frac{4.41 +4.37+ 4.33+ 4.35 +4.30 +4.39 +4.36+ 4.38+ 4.40+ 4.39}{10}

⇒ Mean = 4.368

Standard deviation(\sigma) = \sqrt{\frac{1}{n}\sum_{i=1}^{n}{(x_{i}-\bar{x})^{2}} }

where, \bar{x} is mean of the distribution.

⇒ Standard Deviation = 0.034

Applying t- test:

Let out hypothesis is:

H₀: μ = 4.35

H₁: μ ≠ 4.35

Now,

Here, μ = Population Mean = 4.35

\bar{x}= Sample Mean = 4.368

σ = Standard Deviation = 0.034

n = 10

t=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}} }

Putting all values we get, t = 1.6777 with (10 -1) = 9 degree of freedom.

Then the p-value at 99% level of significance.

⇒ p-value = 0.1277

6 0
3 years ago
What is 56/108? they are even numbers so they can be simplified but I don't know how to do it right.
Andrews [41]
That answer is simplified to 7/12
3 0
3 years ago
Read 2 more answers
a map has a scale of 2 in : 6 mi if clayton and centerville are 10 in apart on the map then how far apart are the real cities
Ahat [919]
I"m pretty sure they would be 60 mi apart
5 0
3 years ago
If x= 4 and y=5<br> Find the value of x² + 4y 5​
Sati [7]

Answer:

32

Step-by-step explanation:

x^2 + 4y = 16 + 20 = 32

Just do substitution.

Hope this helps.

Good Luck

3 0
3 years ago
Read 2 more answers
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