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2 years ago

If you purchase an ipod that costs $339, how much sales tax will you pay if the rate is 8.375%?

Mathematics

1 answer:

Dominik [7]2 years ago

6 0

The sales tax amount is $ 28.4

Solution:

Given that you purchase an ipod that costs $339

The tax rate is 8.375 %

To find: Sales tax amount

From given,

Cost price = $ 339

Tax rate = 8.375 %

Therefore, sales tax amount is 8.375 % of cost price

$Sales\ Tax\ Amount = 8.375 \% \text{ of } 339\\\\Sales\ Tax\ Amount = 8.375 \% \times 339\\\\Sales\ Tax\ Amount = \frac{8.375}{100} \times 339\\\\Simplify\ the\ above\ expression\\\\Sales\ Tax\ Amount = 0.08375 \times 339\\\\Sales\ Tax\ Amount = 28.39125 \approx 28.4$

Thus sales tax amount is $ 28.4

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In a poll taken in December 2012, Gallup asked 1006 national adults whether they were baseball fans: 48% said they were. Almost

Yuki888 [10]

Answer:

0.0259,0.0406

Step-by-step explanation:

Given that in a poll taken in December 2012, Gallup asked 1006 national adults whether they were baseball fans: 48% said they were. Almost five years earlier, in February 2008, only 35% of a similar-size sample had reported being baseball fans.

a) p is the proportion of national adults who are baseball fans.

b) For 2012 poll, p=0.48

Std error = $\sqrt{\frac{pq}{n} } \\=\sqrt{\frac{0.48*0.52}{1006} } \\=0.0158$

Margin of error at 90% = 1.645 * std error

= 0.0259

c) Margin of error is the admissible limit on either side of the mean where the sample mean can lie

d) Margin of error would be larger for 99% because critical value 2.58 >1.645

e) Margin of error 99% = $2.58*0.0157\\=0.0406$

6 0

3 years ago

QUALITY CONTROL1)Specifications for a part for a DVD player state that the part should weigh between 24.6 and 25.6 ounces. The p

Phantasy [73]

Answer:

Step-by-step explanation:

Given that,

μ = 25.1

σ = 0.26

a) since standard deviation is ideal measure of dispersion , a combination of control chart for mean x and standard deviation known as

$\bar x \\\text {and}\\\mu$

Chart is more appropriate than $\bar x$ and R - chart for controlling process average and variability

so we use

$\bar x \\\text {and}\\\mu$ charts

n = 11

we have use 2 σ confidence

so, control unit for $\bar x$ chart are

upper control limit = $\mu +2\times\frac{ \sigma}{\sqrt{n} }$

lower control limit = $\mu -2\times\frac{ \sigma}{\sqrt{n} }$

control limit = μ

μ = 25.1

upper control limit =

$25.1+2\times \frac{0.26}{\sqrt{11} } \\\\=25.2567$

lower control limit =

$25.1-2\times \frac{0.26}{\sqrt{11} } \\\\=24.9432$

Upper control limit and lower control limit are in between the specification limits , that is in between 24.9 and 25.6

so, process is in control

c) if we use 3 sigma limit with n = 11

then

upper control limit = $\mu +3\times\frac{ \sigma}{\sqrt{n} }$

$25.1+3\times\frac{0.26}{\sqrt{11} } \\\\=25.3351$

lower control limit = $\mu -2\times\frac{ \sigma}{\sqrt{n} }$

$25.1-3\times\frac{0.26}{\sqrt{11} } \\\\=24.8648$

control limit is 25.1

Then, process is in control since upper control limit and lower control limit lies between specification limit

So, process is in control

7 0

2 years ago

Due tomorrow 3 questions

jasenka [17]

Answer:

green blocks represent n

and normale digits (plus green) are orange

Anne: 1 orange block and increasing 2 green blocks from 2 sides

Sanjay: one line of green and orange line plus 1

Robert: 2 times the amount of green blocks on both lines with 1 orange block on right path

a.y = 6x

b.y = 2^x

c.y = x+10

10.

a. 2 green blocks and 2 orange blocks

c. 3 green blocks and 1 orangle blocks

b. 4 green blocks

d.2 green blocks and 1 orange block

Step-by-step explanation:

for 10, it doesn't really matter

8 0

3 years ago

What is the area of 4x3x1

photoshop1234 [79]

Answer:

Area =12

Step-by-step explanation:

Area = length * width * height

Area = 4 * 3 * 1

Area = 12

6 0

3 years ago

Read 2 more answers

Determine if the event listed is independent or dependent.

BigorU [14]

Independent because what you get in the first one doesn't effect the second

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3 years ago