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2 years ago

Which of the following is true of (1, 4) and (1, −7)?.

SAT

1 answer:

Nina [5.8K]2 years ago

6 0

Answer:

(1,4)

Explanation:

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company manufactured six television sets on a given day, and these TV sets were inspected for being good or defective. The resul

lana [24]

Sampling distribution involves the proportions of a data element in a given sample.

The proportion of Good TV set is 0.67
The number of ways of selecting 5 from 6 TV sets is 6
The number of ways of selecting 4 from 6 TV sets is 15

Given

$n = 6$

Sample Space = Good, Good, Defective, Defective, Good, Good

(a) Proportion that are good

From the sample space, we have:

$Good = 4$

So, the proportion (p) that are good are:

$p = \frac{Good}{n}$

$p = \frac{4}{6}$

$p = 0.67$

(b) Ways to select 5 samples (without replacement)

This is calculated using:

$^nC_r = \frac{n!}{(n - r)!r!}$

Where

$r = 5$

So, we have:

$^6C_5 = \frac{6!}{(6 - 5)!5!}$

$^6C_5 = \frac{6!}{1!5!}$

$^6C_5 = \frac{6 \times 5!}{1 \times 5!}$

$^6C_5 = \frac{6}{1}$

$^6C_5 = 6$

Hence, there are 6 ways

(c) All possible sample space of 4

First, we calculate the number of ways to select 4.

This is calculated using:

$^nC_r = \frac{n!}{(n - r)!r!}$

Where

$r = 4$

So, we have:

$^6C_4 = \frac{6!}{(6 - 4)!4!}$

$^6C_4 = \frac{6!}{2!4!}$

$^6C_4 = \frac{6 \times 5 \times 4}{2 \times 1 \times 4!}$

$^6C_4 = \frac{30}{2}$

$^6C_4 = 15$

So, the table is as follows:

$\left[\begin{array}{ccc}TV&Good&Proportion\\1,2,3,4&2&0.5&2,3,4,5&2&0.5&3,4,5,6&2&0.5\\4,5,6,1&3&0.75&5,6,1,2&4&1&6,1,2,3&3&0.75\\1,2,3,5&3&0.75&3,5,6,2&3&0.75&1,3,4,5&2&0.5\\1,3,4,6&2&0.5&1,4,5,2&3&0.75&2,4,6,1&3&0.75\\2,4,6,3&2&0.5&2,4,6,5&3&0.75&3,5,6,1&3&0.75\end{array}\right]$

The proportion column is calculated by dividing the number of Good TVs by the total selected (4) i.e.

$p = \frac{Good}{n}$

(d) The sampling distribution

In (a), we have:

$p = 0.67$ --- proportion of Good TV

The sampling error is calculated as follows:

$SE_n = |p - p_n|$

So, we have:

$\left[\begin{array}{ccc}TV&Good&SE\\1,2,3,4&2&0.17&2,3,4,5&2&0.17&3,4,5,6&2&0.17\\4,5,6,1&3&0.08&5,6,1,2&4&0.33&6,1,2,3&3&0.08\\1,2,3,5&3&0.08&3,5,6,2&3&0.08&1,3,4,5&2&0.17\\1,3,4,6&2&0.17&1,4,5,2&3&0.08&2,4,6,1&3&0.08\\2,4,6,3&2&0.17&2,4,6,5&3&0.08&3,5,6,1&3&0.08\end{array}\right]$

Read more about sampling distributions at:

brainly.com/question/10554762

3 0

3 years ago

A chemist places a 100 g cube of each of the metals listed in the table on a separate hot plate. Based on the specific heat valu

Volgvan

The ranking of the metals in terms of how quickly they reach the target temperature are; Pb: 1, Sn: 2, Cu: 3, Fe: 4, Al: 5

Solving Specific Heat Capacity

The formula for quantity of heat from specific heat capacity is;

Q = m * C_s * ΔT

where;

Q is specific heat energy

C_s is specific heat capacity

ΔT is change in temperature

m is mass

Thus, the lower the specific heat or quantity of heat energy, the faster the change in temperature

Making ΔT the subject of the formula gives;

ΔT = Q / ( m * Cs)

We are told that the heat (Q) and mass (m = 100 g) are equal for the five samples. Thus, we have;

ΔT = [Q/m]/C_s

Since Q/m is constant for all the 5 samples, inputting the specific heat capacities means that the higher the specific heat capacity the slower the change in temperature but the lower the specific heat capacity, the quicker the change in temperature.

Solving online means that the fastest to slowest are;

Pb: 1, Sn: 2, Cu: 3, Fe: 4, Al: 5

Read more about Specific Heat energy at; brainly.com/question/13439286

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2 years ago

When did our current system of cooperative federalism begin?

Ber [7]

From about 1937 to the present, the United States has operated under a Cooperative Federalism model.

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1 year ago

Braverman company has two manufacturing departments.

Natasha_Volkova [10]