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1 year ago

Please answer! Question in link below

Mathematics

1 answer:

blsea [12.9K]1 year ago

8 0

The options that apply to the given table of data are; Options C, D & E

<h3>How to Interpret Frequency Tables?</h3>

Option A: Conditional relative frequency compares a frequency count to the marginal total that represents the condition of interest. Thus, the given statement is not true because it compares the frequency count of the 18 people to a fraction.

Option B: The principle of Independence states that two events A and B are statistically independent if and only if their joint probability can be factorized into their marginal probabilities. This shows principle of independence and so the statement is wrong.

Option C: Marginal Relative Frequency is the ratio between the frequency of a row total or column total to the total frequency of the data. Thus, the given statement is correct.

Option D: This statement is true because joint relative frequencies are the values in each category divided by the total number of value.

Option E; This statement is correct because the table shows principle of Independence

Read more about Frequency Tables at; brainly.com/question/1809498

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A rectangular storage container with an open top is to have a volume of 10 m3 . then length of its base is twice the width. mate

katrin [286]

Answer:

The cost of materials for the cheapest such container is $163.54.

Step-by-step explanation:

A rectangular storage container with an open top is to have a volume of 10 m³.

The volume of the rectangle is

$\text{Volume} =\text{Length} \times \text{Width} \times \text{Height}$

Length of its base is twice the width.

Let Width be 'w'.

Length is l=2w.

Height be 'h'.

$10 =2w\times w\times h$

$10=2w^2h$

The height in terms of width is represented as,

$h=\frac{10}{2w^2}$

$h=\frac{5}{w^2}$

According to question,

The cost is 10 times the area of the base and 6 times the total area of the sides.

i.e. Cost is given by,

$C=10(L\times W)+6(2\times L\times H+2\times W\times H)$

$C=10(2w\times w)+6(2\times 2w\times \frac{5}{w^2}+2\times w\times \frac{5}{w^2})$

$C=20w^2+\frac{120}{w}+\frac{60}{w}$

$C(w)=20w^2+\frac{180}{w}$

To get the minimum value,

Differentiate the cost w.r.t 'w',

$C'(w)=20\frac{d(w^2)}{dw}+180\frac{d(w^{-1})}{dw}$

$C'(w)=20\times 2w-180 w^{-2}$

$C'(w)=40w-\frac{180}{w^2}$

To find critical points put derivate =0,

$40w-\frac{180}{w^2}=0$

$40w=\frac{180}{w^2}$

$w^3=\frac{180}{40}$

$w=\sqrt[3]{4.5}$

$w=1.65$

We find the second derivative to minimize,

$C''(w)=40\frac{d(w)}{dw}-180\frac{d(w^{-2})}{dw}$

$C''(w)=40+360(w^{-3})$

$C''(w)>0$

As $C''(w)>0$ it is the minimum cost.

The cost is minimum at w=1.65.

Substitute the values in the cost function,

$C(1.65)=20(1.65)^2+\frac{180}{1.65}$

$C(1.65)=54.45+109.09$

$C(1.65)=163.54$

Therefore, the cost of materials for the cheapest such container is $163.54.

7 0

3 years ago

What’s four less than five times a number equal to 11

zloy xaker [14]

A number: n
five times a number: 5n
four less than five times a number: 5n - 4
four less than five times a number equals 11: 5n - 4 = 11

5n - 4 = 11

5n = 15

n = 3

The number is 3.

5 0

3 years ago

PLs help me with this question!!!!!!!!

Julli [10]

Answer:

The answer is D - 382

Step-by-step explanation:

The volume of a sphere can be calculated using this simple formula:

V = 4/3 x 3.14(pi) x r cubed(to the third)

So, V = 4/3 x 3.14 x 4.5 cubed

V = approximately 382

7 0

3 years ago

Read 2 more answers

Select all of the following expressions that are equivalent to 0.25.. . 1. (0.5)2. 2. (-0.2) + (-0.05). 3. |-3 + 2.75|. 4. -(-0.

shepuryov [24]

The solutions for the following expressions are:
1. 0.5*2 = 1
2. -0.2+-0.05= -0.25
3. absolute value of (-3+2.75) = 0.25
4. -(-0.25) = 0.25
5. 2x-1.75x = 0.25x

The expression equivalent to 0.25 is numbers 3 and 4.

7 0

3 years ago

The percent yield is calculated by dividing the actual yield by the theoretical yield times 100. True False

erastovalidia [21]

Answer:

True

Step-by-step explanation:

Correct.

For example.

Suppose the actual yield is of 80 and the theoretical yield is of 100. We want to, for example, know the percentage of the yield. First we divide 80 by 100, which is 0.8, a decimal value. To write as a percentage, we multiply it by 100.

So the correct answer is:

True

5 0

3 years ago