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2 years ago

PLZZZZZ HELP I WILL GIVE BRAINLEST POINTS AND EXTRA POINTS

Mathematics

1 answer:

Greeley [361]2 years ago

6 0

Answer:

a. Non proportional

b. Proportional

c. Non proportional

Step-by-step explanation:

Here, we want to determine if each situation is proportional or not

a) Non-proportional

This is because the amount y paid in a month will be;

y = 1400x + 150

Since the amount paid is not solely dependent on the number of months, then we do not have a proportional relationship

b) proportional

y = 3/4x

The value of y is dependent solely on that of x, so the relationship is proportional

c) non proportional

Since the value of y is not solely entirely dependent on x value, then the relationship is not proportional

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One hundred items are simultaneously put on a life test. Suppose the lifetimes

romanna [79]

Answer:

a) $\mathrm{E}[\mathrm{T}]=\sum_{\mathrm{H}}^{5} \frac{200}{101-i}$

b) $\mathrm{Var}[\mathrm{T}]=\sum_{k=1}^{5} \frac{(200)^{2}}{(101-i)^{2}}$

Step-by-step explanation:

Given:

The lifetimes of the individual items are independent exponential random variables.

Mean = 200 hours.

Assume, Ti be the time between ( $i-1$ )st and the $ith$ failures. Then, the $T_{i}$ are independent with $\mathrm{T}_{\mathrm{i}}$ being exponential with rate $\frac{(101-i)}{200} .$

Therefore,

a) $E[T]=\sum_{i=1}^{5} E\left[\tau_{i}\right]$

$=\sum_{i=1}^{5} \frac{200}{101-i}$

$\therefore \mathrm{E}[\mathrm{T}]=\sum_{\mathrm{H}}^{5} \frac{200}{101-i}$

$b)$

The variance is given by, $\mathrm{Var}[\mathrm{T}]=\sum_{i=1}^{5} \mathrm{Var}[T]$

$\therefore \mathrm{Var}[\mathrm{T}]=\sum_{k=1}^{5} \frac{(200)^{2}}{(101-i)^{2}}$

7 0

2 years ago

The height of a pyramid-shaped sculpture with a square base is one half the length of each side. The volume of the sculpture is

Nimfa-mama [501]

The volume of a pyramid is V = 1/3 x base length^2 x height

Let X = base length.

We are told the height is 1/2 the length, so height would be 1/2x

Now we have:

972 = 1/3 * x^2 * 1/2x

Simplifying we get:

972 = 1/6x^3

Multiply both sides by 6:

5832 = x^3

Take the cube root of both sides:

x = 18

The length of the base is 18 inches.

The height is 1/2 that, so the height would be 18/2 = 9 inches.

4 0

3 years ago

Eve's mother has a large collection of shoes. She has 18 pairs of shoes, and 6 of them are boots.

Umnica [9.8K]

Answer:

8+5+2+5=205 boots = 5/20 or 1/41÷4= 0.250.25 × 100 = 25%

Step-by-step explanation:

sorry if im wrong

4 0

1 year ago

Read 2 more answers

Timothy spent $68 at Macy's. His purchases include a pair of jeans at $32 and 2 t-shirts at $x each. how much for each t-shirt.

maria [59]

Answer:

idk

Step-by-step explanation:

3 0

2 years ago

Darragh has a Golden Eagle coin in his collection with a mass of 13.551 g. An uncirculated Golden Eagle coin has a mass of 13.71

Sav [38]

The mass lost by Darragh's coin is 0.164 g

<u>Solution:</u>

Given that Darragh has a Golden Eagle coin in his collection with a mass of 13.551 g

An uncirculated Golden Eagle coin has a mass of 13.715 g

To find: mass lost by Darragh's coin

From given question,

Darrangh has coin of mass = 13.551 g

Golden Eagle coin mass = 13.715 g

Darrangh's coin lost mass = 13.715 - 13.551 = 0.164

Thus mass lost by Darragh's coin is 0.164 g

6 0

2 years ago