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Novay_Z [31]
1 year ago
15

Find the volume of a cube with a side that measures 0.01 cm. (Hint: V = s ³).​

Mathematics
2 answers:
stich3 [128]1 year ago
6 0

the volume of cube with a side that measures 0.01 cm is answer v = a3

prohojiy [21]1 year ago
4 0

Answer: V=\frac{1}{1000000} cm^3

Step-by-step explanation:

V = s³

V = (0.01)³

V=(1/100)³

V=\frac{1}{1000000} cm^3

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A TV company when purchasing thousands electronic components apply this sampling plan: randomly select 15 of them and then accep
katrin [286]
<h2>Answer with explanation:</h2>

According to the Binomial probability distribution ,

Let x be the binomial variable .

Then the probability of getting success in x trials , is given by :

P(X=x)=^nC_xp^x(1-p)^{n-x} , where n is the total number of trials or the sample size and p is the probability of getting success in each trial.

As per given , we have

n = 15

Let x be the number of defective components.

Probability of getting defective components = P = 0.03

The whole batch can be accepted if there are at most two defective components. .

The probability that the whole lot is accepted :

P(X\leq 2)=P(x=0)+P(x=1)+P(x=2)\\\\=^{15}C_0(0.03)^0(0.97)^{15}+^{15}C_1(0.03)^1(0.97)^{14}+^{15}C_2(0.03)^2(0.97)^{13}\\\\=(0.97)^{15}+(15)(0.03)^1(0.97)^{14}+\dfrac{15!}{2!13!}(0.03)^2(0.97)^{13}\\\\\approx0.63325+0.29378+0.06360=0.99063

∴The probability that the whole lot is accepted = 0.99063

For sample size n= 2500

Expected value : \mu=np= (2500)(0.03)=75

The expected value = 75

Standard deviation :  \sigma=\sqrt{np(1-p)}=\sqrt{2500(0.03)(0.97)}\approx8.53

The standard deviation = 8.53

6 0
2 years ago
What is the length of x in the diagram below?
luda_lava [24]

Answer:

That is a 45-45-90 triangle next to a 30-60-90 triangle.  

So, the height of the left triangle equals 5.

That makes the short side of the 30-60-90 triangle also equal to 5.

In a 30-60-90 triangle, the hypotenuse (or "x") is exactly twice the length of the shortest side.

Therefore, the hypotenuse (or "x") equals 10.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
An aircraft travels for 30 minutes at an average speed of 37 mph. how far did the airplane travel?
kupik [55]

Answer:

1.23 repeating

Step-by-step explanation:

divide 37 and 30

7 0
2 years ago
Right? Pls reply ASAP i need this before 11:45am in need pls hurry
SVETLANKA909090 [29]

Answer:

I think so.

Step-by-step explanation:

If you do the math 2(5-3) exponent 2 - 4 = 4

So if y is 4 you should be correct!

Thb I think you need to know the value of y to solve this question.

6 0
2 years ago
A ball is dropped from the top of a building that is 250 feet tall. The
Virty [35]

hi

-16t²+250 = 75

-16t² = 75 -250

-16t² = -175

  t² = -175 /-16

 t² = 175/16

Here there si two solutions :  t = \sqrt{175/16}   and  t =  - \sqrt{175/16}

However, as time cannot rewind,  we will  keep only positive solution

So t = \sqrt{175/16}

   

in seconds  it will be  :  3.3 seconds

3 0
3 years ago
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