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kifflom [539]
3 years ago
13

The outside of an aquarium tank is 50 cm long, 40 cm wide, and 20 cm high. It is open at the top. The glass used to make the tan

k is 1 cm thick. What is the inside volume of the tank?
Mathematics
1 answer:
zepelin [54]3 years ago
3 0
We know that

[<span>inside volume of the tank]=[40-2]*[50-2]*[20-1]------> (the top is open)
</span>[inside volume of the tank]=[38]*[48]*[19]----> 34656 cm³

the answer is
the inside volume of the tank is 34656 cm³
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The quadratic equation 2x^2 + bx + 18 = 0 has a double root. Find all possible values of b.
Doss [256]
When a quadratic equation ax^2+bx+c has a double root, the discriminant,
D=b^2-4ac=0
Here 
a=2,
b=b,
c=18
and 
D=b^2-4ac=b^2-4*2*18=0 
solve for b
b^2-144=0
=> b= &pm; sqrt(144)= &pm; 12

So in order that the given equation has double roots,  the possible values of b are &pm; 12.
4 0
3 years ago
A company makes rubber rafts. 12% of them develop cracks within the first month of operation. 27 new rafts are randomly sampled
rewona [7]

The probability that the number of tested rafts that develop cracks is no more than 3 is <u>.00006</u>.

The true proportion, p for the population is given to 0.12.

Thus, the mean, μ, for the sample = np = 27*0.12 = 3.24.

The sample size, n, given to us is 27.

Thus, the standard deviation, s, for the sample can be calculated using the formula, s = √{p(1 - p)}/n.

s = √{0.12(1 - 0.12)}/27 = √0.003911 = 0.0625389.

We are asked to calculate the probability that the number of tested rafts that develop cracks is no more than 3, that is, we need to calculate P(X ≤3).

P(X ≤ 3)

= P(Z ≤ {(3 - 3.24)/0.0625389) {Using the formula z = (x - μ)/s}

= P(Z ≤ -3.8376114706)

= .00006 {From table}.

Thus, the probability that the number of tested rafts that develop cracks is no more than 3 is <u>.00006</u>.

Learn more about sampling distributions at

brainly.com/question/15507495

#SPJ4

8 0
1 year ago
Angela had $22.70 to spend on groceries. After buying 8 pineapples, she had $3.50 left. If each pineapple was the same price, wh
sesenic [268]

Answer:

$2.40

Step-by-step explanation:

First, you would do 22.70 minus 3.50, to get 19.20.

Then, you would divide 19.20 by 8, to get 2.4.

So, if each pineapple was the same price, each pineapple would be $2.40.

3 0
2 years ago
3+6 (2 + 3/6)<br> Can someone help me plssss and show how to too pls
Anna007 [38]
18

I used a calculator so you’ll need someone else to explain my apologies. I’m tried but I wanted to try and help by giving you the answer

4 0
3 years ago
HELP I CANT FIGURE IT OUT!<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B18%7D%20%20-%20%20%5Cfrac%7B1%7D%7B4%7D%20"
bija089 [108]

<em>Answer:</em>

<em>1/36</em>

<em>Step-by-step explanation:</em>

<em>²⁾5/18 - ⁹⁾1/4 =</em>

<em>= 10/36 - 9/36</em>

<em>= 1/36</em>

8 0
3 years ago
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