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3 years ago

Add the expressions (-4/5t+5/3s) and (-3-7/5s+2t)

Mathematics

1 answer:

patriot [66]3 years ago

4 0

Answer:

6/5t+4/15s-3

Step-by-step explanation:

(-4/5t+5/3s)+(-3-7/5s+2t)

-4/5t+2t+5/3s-7/5s-3

-4/5t+10/5t+25/15s-21/15s-3

6/5t+4/15s-3

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According to a research center, 16% of all merchandise sold in a particular country gets returned. A department store in a certa

Mamont248 [21]

Answer:

a) point estimate of the proportion of items returned for the population of sales transactions at the store in the given city

Point estimate = 0.3

b) The 95% confidence interval for the proportion of returns at the store in the given city

( 0.19958,0.40042)

Step-by-step explanation:

Given the Population proportion 'P'= 16% = 0.16

Given data a department store in a certain city sampled 80 items sold in January and found that 24 of the items were returned

The sample proportion $p = \frac{x}{n}$

here x =24 and n = 80

The sample proportion $p = \frac{x}{n} = \frac{24}{80} = 0.3$

a) Point estimate:-

A point estimate of the true proportion P

Point estimate = $p = \frac{x}{n}$

point estimate of the proportion of items returned for the population of sales transactions at the store in the given city

$p = \frac{x}{n} = \frac{24}{80} = 0.3$

b) The 95% confidence interval for the proportion

The 95% confidence interval for the proportion of returns at the store in the given city

$(p - z_{\alpha } \sqrt{\frac{p(1-p)}{n} } , p + z_{\alpha }\sqrt{\frac{p(1-p)}{n} } )$

substitute all values we get ,

$(0.3 - 1.96 \sqrt{\frac{0.3(1-0.3)}{80} } , 0.3 + 1.96\sqrt{\frac{0.3(1-0.3)}{80} } )$

on simplification, we get

(0.3-0.10042 ,0.3+0.10042)

( 0.19958,0.40042)

Conclusion:-

a) point estimate of the proportion of items returned for the population of sales transactions at the store in the given city

Point estimate = 0.3

b) The 95% confidence interval for the proportion of returns at the store in the given city

( 0.19958,0.40042)

5 0

4 years ago

How is 5-2 different from 5 + ( - 2)

WITCHER [35]

They equal the same amount (3) but are written out in different ways.

5 0

3 years ago

Read 2 more answers

How many radians are in one degree, accurate to three decimal places?

qaws [65]

Now, if you recall, there are 180° in π radians, now, so how many radians in 1°?

$\bf \begin{array}{ccll}
de grees&radians\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
180&\pi \\
1&r
\end{array}\implies \cfrac{180}{1}=\cfrac{\pi }{r}\implies r=\cfrac{1\cdot \pi }{180}$

3 0

4 years ago

The Chimera Ant population is 7,500 and grows 3% each year. What will the population be after 3 years.

Mashutka [201]

8175 because the 3 percent of 3 years is 675

8 0

3 years ago

For Tran thank you appreciate it

Anestetic [448]

Step-by-step explanation:

Let alpha be the unknown angle. We can set up our sine law as follows:

$\frac{ \sin( \alpha ) }{5 \: m} = \frac{ \sin(42) }{3.6 \: m }$