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2 years ago

A rectangular tank is 76cm long, 50cm wide and 40cm high, how many litres of water can it hold?

Mathematics

1 answer:

murzikaleks [220]2 years ago

5 0

Answer:

Volume of a cuboid or rectangular tank = side × side × side

volume of a cuboid or rectangular tank = length× width × height

volume of the rectangular tank = 76 × 50 × 40

volume of the rectangular tank = 152000cm³

Therefore the rectangular tank can hold 152000cm³ litres of water

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A sample of 11 students using a Ti-89 calculator averaged 31.5 items identified, with a standard deviation of 8.35. A sample of

lina2011 [118]

Answer:

We reject H₀, with CI = 90 % we can conclude that the mean numbers of times identified with Ti-84 does not exceed that of the Ti-89 by more than 1,80

Step-by-step explanation:

Ti-89 Calculator

Sample mean x = 31,5

Sample standard deviation s₂ = 8,35

Sample size n₂ = 11

Ti-84 Calculator

Sample mean y = 46,2

Sample standard deviation s₁ = 9,99

Sample size n₁ = 12

t(s) = ( y - x - d ) / √s₁²/n₁ + s₂²/n₂

t(s) = 12,9 / √(99,8/12) + (69,72/11)

t(s) = 12,9 / √8,32 + 6,34

t(s) = 12,9 / 3,83

t(s) = 3,37

Test Hypothesis

Null Hypothesis H₀ y - x > 1,80

Altenative Hypothesis Hₐ y - x ≤ 1,80

We have a t(s) = 3,37

We need to compare with t(c) critical value for

t(c) α; n₁ +n₂-2 df = 12 +11 -2 df = 21

If we choose CI = 95 % then α = 5 % α = 0,05

From t-student table

t(c) = 1,72

t(s) = 3,37

t(s) >t(c)

t(s) is in the rejection region therefore we accept Hₐ with CI = 95 %

8 0

2 years ago

The double number line shows that Toni can type 180180180 words in 222 minutes. Based on the ratio shown in the double number li

vfiekz [6]

Answer:

<h3>Toni can type words in 3 minutes is 270 words</h3>

Step-by-step explanation:

Given that the double number line shows that Toni can type 180 words in 2 minutes.

<h3>To find how many words can Toni type in 3 minutes:</h3>

From the given Toni can type 180 words in 2 minutes,

⇒ Toni can type $\frac{180}{2}$

$= 90$

<h3>∴ 90 words per minute </h3>

For Toni would be able to type words in 3 minutes is

$90\times 3$

$= 270$

<h3>∴ 270 words per minute.</h3><h3>∴ Toni can type words in 3 minutes is 270 words.</h3>

6 0

2 years ago

Read 2 more answers

What is the answer to 5n²/2n³×5n³

DanielleElmas [232]

5n(n^2+n+7)-3n(n^2+2n)

<span>5n^3+5n^2+35n-3n^3-6n^2 </span>

<span>2n^3-n^2+35n </span>

<span>n(2n^2-n+35)</span>

4 0

2 years ago

You and your friend are selling your old CDs. Your friend sells 14 the first day, and x the next day. You sell y the first day a

Deffense [45]

Answer: 30+x+y

Step-by-step explanation:

Commutative Property of Addition : a+b= b+a , where a and b are any arbitrary numbers.

Given : Number of CDs sold by friend on first day = 14

Number of CDs sold by friend on next day = x

Total CDs sold by friend = 14 +x

Number of CDs sold by you on first day = 16

Number of CDs sold by you on next day = y

Total CDs sold by you = 16+y

The expression that shows the total number of CDs sold both days =

Total CDs sold by friend + Total CDs sold by you

= 14 +x+ 16+y

= 14 +(x+ 16)+y

= 14 +(16+x)+y [By Commutative Property of Addition.]

= 14+16+x+y

= 30+x+y

Hence, the expression that shows the total number of CDs sold both days :

30+x+y

6 0

2 years ago

Is 16.45 greater than, less than or equal to 16.454

vampirchik [111]

<span>16.45 is less than 16.454. The reason is because 16.454 is 4 thousandths more than 16.45 assuming that both numbers are exact numbers. Although it is only a small amount it still makes 16.45 less than 16.454.</span>

4 0

3 years ago

Read 2 more answers

A rectangular tank is 76cm long, 50cm wide and 40cm high, how many litres of water can it hold?​

A rectangular tank is 76cm long, 50cm wide and 40cm high, how many litres of water can it hold?