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Zigmanuir [339]
3 years ago
13

If the cube has a side length of 10 centimeters, what is the surface area of the cube?

Mathematics
2 answers:
Citrus2011 [14]3 years ago
8 0

Step-by-step explanation:

  • surface area of cube =6a²
  • 6×10²
  • 6×100
  • 600cm²

<h3>stay safe healthy and happy.</h3>
asambeis [7]3 years ago
5 0

Answer:

A=600cm²

Step-by-step explanation:

Solution

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How many different ways can you make change for $.50 using only nickels,dimes, and quarters?
yanalaym [24]

Answer:

10 ways

Step-by-step explanation:


5 0
3 years ago
Which is a correct first step for solving this equation?<br> - 32 + 2 - 52 - 7 = 4x + 2
MArishka [77]

Answer:

-8x - 5 = 4x + 2

6 0
2 years ago
A researcher plants 22 seedlings. After one month, independent of the other seedlings, each seedling has a probability of 0.08 o
Andrews [41]

Answer:

E(X₁)= 1.76

E(X₂)= 4.18

E(X₃)= 9.24

E(X₄)= 6.82

a. P(X₁=3, X₂=4, X₃=6;0.08,0.19,0.42)= 0.00022

b. P(X₁=5, X₂=5, X₄=7;0.08,0.19,0.31)= 0.000001

c. P(X₁≤2) = 0.7442

Step-by-step explanation:

Hello!

So that you can easily resolve this problem first determine your experiment and it's variables. In this case, you have 22 seedlings (n) planted and observe what happens with the after one month, each seedling independent of the others and has each leads to success for exactly one of four categories with a fixed success probability per category. This is a multinomial experiment so I'll separate them in 4 different variables with the corresponding probability of success for each one of them:

X₁: "The seedling is dead" p₁: 0.08

X₂: "The seedling exhibits slow growth" p₂: 0.19

X₃: "The seedling exhibits medium growth" p₃: 0.42

X₄: "The seedling exhibits strong growth" p₄:0.31

To calculate the expected number for each category (k) you need to use the formula:

E(XE(X_{k}) = n_{k} * p_{k}

So

E(X₁)= n*p₁ = 22*0.08 = 1.76

E(X₂)= n*p₂ = 22*0.19 = 4.18

E(X₃)= n*p₃ = 22*0.42 = 9.24

E(X₄)= n*p₄ = 22*0.31 = 6.82

Next, to calculate each probability you just use the corresponding probability of success of each category:

Formula: P(X₁, X₂,..., Xk) = \frac{n!}{X_{1}!X_{2}!...X_{k}!} * p_{1}^{X_{1}} * p_{2}^{X_{2}} *.....*p_{k}^{X_{k}}

a.

P(X₁=3, X₂=4, X₃=6;0.08,0.19,0.42)= \frac{22!}{3!4!6!} * 0.08^{3} * 0.19^{4} * 0.42^{6}\\ = 0.00022

b.

P(X₁=5, X₂=5, X₄=7;0.08,0.19,0.31)= \frac{22!}{5!5!7!} * 0.08^{5} * 0.19^{5} * 0.31^{7}\\ = 0.000001

c.

P(X₁≤2) = \frac{22!}{0!} * 0.08^{0} * (0.92)^{22} + \frac{22!}{1!} * 0.08^{1} * (0.92)^{21} + \frac{22!}{2!} * 0.08^{2} * (0.92)^{20} = 0.7442

I hope you have a SUPER day!

8 0
2 years ago
62,400 is what percentage of 156,000
STatiana [176]
62400 is what percent of 156000 
<span>= 62400 / 156000 </span>
<span>= 0.4 </span>

<span>Converting decimal to a percentage: </span>
<span>0.4 * 100 = 40%</span>
5 0
3 years ago
Read 2 more answers
The perimeter of a triangle is 42 inches. One side measures 18 inches. The shortest side measures x inches. The longest side mea
julia-pushkina [17]
<span>Shortest side = x, Longest Side = 4x-1, third side = 18 Equation is x + (4x-1) + 18 = 42 so 5x-1 = 42-18=24 and 5x=25 so x = 5, longest side = 4(5)-1=19, third side=18 Add all 3 (5+19+18) to get 42</span>
3 0
3 years ago
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