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Scorpion4ik [409]
3 years ago
6

Mum bought a litre of orange juice. She filled 5 glasses and had 1/5 of a litre left. How much was in each glass?

Mathematics
1 answer:
avanturin [10]3 years ago
7 0
1/5 of a litre is 0.2 litres
1 litre minus 0.2 litres is 0.8 litres so
0.8 divided by 5 (glasses) is 0.16 litres in each glass
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The thicknesses of 81 randomly selected aluminum sheets were found to have a variance of 3.23. Construct the 98% confidence inte
Yuliya22 [10]

Answer:

The confidence interval for the population variance of the thicknesses of all aluminum sheets in this factory is Lower limit = 2.30, Upper limit = 4.83.

Step-by-step explanation:

The confidence interval for population variance is given as below:

[(n - 1)\times S^{2}  /  X^{2}  \alpha/2, n-1 ] < \alpha < [(n- 1)\times S^{2}  / X^{2} 1- \alpha/2, n- 1 ]

We are given

Confidence level = 98%

Sample size = n = 81

Degrees of freedom = n – 1 = 80

Sample Variance = S^2 = 3.23

X^{2}_{[\alpha/2, n - 1]}   = 112.3288\\\X^{2} _{1 -\alpha/2,n- 1} = 53.5401

(By using chi-square table)

[(n – 1)*S^2 / X^2 α/2, n– 1 ] < σ^2 < [(n – 1)*S^2 / X^2 1 -α/2, n– 1 ]

[(81 – 1)* 3.23 / 112.3288] < σ^2 < [(81 – 1)* 3.23/ 53.5401]

2.3004 < σ^2 < 4.8263

Lower limit = 2.30

Upper limit = 4.83.

8 0
2 years ago
I need help with this question please
ludmilkaskok [199]

Answer:

  62

Step-by-step explanation:

The enclosing rectangle is 24 units long and 12 units high. Its area is ...

  (24 units)(12 units) = 288 square units

The white circles obviously cover more than half the area, so the only viable answer choice is 62.

__

If you want to go to the trouble to actually figure it out, you can find the area of each circle using the area formula ...

  A = πr² = (3.14)(6²) = 113.04

Then both circles have an area of 2×113.04 = 226.08, and the shaded area is the difference between that and the rectangle area:

  shaded area = 288 -226.08 = 61.92 ≈ 62

5 0
3 years ago
Simplyfiy3 3/4 x 1 1/5
Troyanec [42]

Answer:

15/4 6/5

Step-by-step explanation:

there simplified

7 0
3 years ago
What is the factored form of x^3 -1
lianna [129]

Answer:

The factored form of x^3 -1 will be:

x^3-1^3=\left(x-1\right)\left(x^2+x+1\right)

Step-by-step explanation:

Given the expression

x^3-1

Rewrite 1 as 1³

=x^3-1^3

\mathrm{Apply\:Difference\:of\:Cubes\:Formula:\:}x^3-y^3=\left(x-y\right)\left(x^2+xy+y^2\right)

x^3-1^3=\left(x-1\right)\left(x^2+x+1\right)

            =\left(x-1\right)\left(x^2+x+1\right)

Thus, the factored form of x^3 -1 will be:

x^3-1^3=\left(x-1\right)\left(x^2+x+1\right)

8 0
3 years ago
Simplify the following expression. 2x^5+3x^3-5x^2+7x+1+7x^5-3x^3-4
alisha [4.7K]

Answer:

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Step-by-step explanation:

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9x^5+−5x^2+7x+−3

3 0
3 years ago
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