1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
VLD [36.1K]
3 years ago
6

By decreasing each dimension by 1 unit​, the area of a rectangle decreased from 40 square feet​ (on the​ left) to 28 square feet

​ (on the​ right). Find the percent decrease in area.

Mathematics
1 answer:
BabaBlast [244]3 years ago
7 0
Attached a pic of the solution (s).

You might be interested in
He Mercedes S-Class luxury vehicle depreciates by 32.4% after just one year. The starting price in 2015 was $70,000.
kumpel [21]

 the depreciation amount after one year for the Mercedes S-Class vehicle is $22,680 .

<u>Step-by-step explanation:</u>

Here we have , he Mercedes S-Class luxury vehicle depreciates by 32.4% after just one year. The starting price in 2015 was $70,000. We need to find What is the depreciation amount after one year for the Mercedes S-Class vehicle. Let's find out:

The starting price in 2015 was $70,000 , let's find price after one year i.e. in 2016 when Mercedes S-Class luxury vehicle depreciates by 32.4%  ,According to question following equation is framed as :

⇒ Price - \frac{Price(32.4)}{100}

⇒ 70,000 - \frac{70,000(32.4)}{100}

⇒ 70,000 - 700(32.4)

⇒ 70,000 - 22,680

⇒ \$47,320

Therefore ,  the depreciation amount after one year for the Mercedes S-Class vehicle is $22,680 .

4 0
3 years ago
Determine if the event described is independent or dependent.
WINSTONCH [101]
They are dependent events, because the probability of the second event depends on the result of the first event

If you replace the marble before picking up the second marble, then the first event didn't affect the second result ant the events were independent.

Given that you did not replace the marble, the second pick up has different probailities depending on the first result.


5 0
3 years ago
1. A food safety guideline is that the mercury in fish should be below 1 part per million​ (ppm). Listed below are the amounts o
Sauron [17]

Answer:

The confidence interval estimate of the population mean is :

(0.61 ppm, 0.90 ppm)

The correct option is (A).

Step-by-step explanation:

The amounts of mercury​ (ppm) found in tuna sushi sampled at different stores in a major city are:

S = {0.58, 0.82, 0.10, 0.98, 1.27, 0.56, 0.96}

A (100-\alpha )\% confidence interval for the population mean (μ) is an interval estimate of the true value of the mean. This interval has a (100-\alpha )\% probability of consisting the true value of mean.

⇒ Since the population standard deviation is not provided we will use the <em>t</em>-distribution to construct the 99% confidence interval for mean.

⇒ The formula for confidence interval for the population mean is:

                                          \bar x\pm t_{\alpha/2,(n-1)}\times \frac{s}{\sqrt{n}}

Here,

\bar x = sample mean

<em>s </em>= sample standard deviation

<em>n</em> = sample size

t_{\alpha/2,(n-1)} = critical value.

The degrees of freedom for the critical value is, (<em>n</em> - 1) = 7 - 1 = 6.

The significance level is: \alpha =1-Confidence\ level=1-0.99=0.01

The critical value is:

t_{\alpha/2,(n-1)}=t_{0.01/2, 7}=t_{0.05,7}=3.143

**Use the <em>t</em>-table for the critical value.

Compute the sample mean and sample standard deviation as follows:

\bar x=\frac{1}{7}(0.58+ 0.82+ 0.10+ 0.98+ 1.27+ 0.56+ 0.96) =0.753

\int\limits^a_b {x} \, dx s=\sqrt{\frac{\sum (x{i}-\bar x)^{2}}{n-1} } =\sqrt{\frac{1}{6} \times 0.859743} =0.379

The 99% confidence interval for μ is:

x^{2} CI=0.753\pm 3.143\times\frac{0.379}{\sqrt{7}} \\=0.753\pm0.143\\=(0.61, 0.896)\\\approx(0.61, 0.90)

The confidence interval estimate of the population mean is:

(0.61 ppm, 0.90 ppm)

The upper and lower limit of the 99% confidence interval indicates that the true mean value is less than 1 ppm. This implies that there is not too much mercury in tuna sushi

Because it is possible that the mean is not greater than 1 ppm. Also, at least one of the sample values is less than 1 ppm, so at least some of the fish are safe.

Thus, the correct option is (A).

6 0
3 years ago
How many minutes are in 5/6, 1/2, and 2/3 of an hour
julia-pushkina [17]
An hour has 60 minutes.

-> 5/6 of 60 minutes
5/6*60
=50

So, 50 minutes

-> 1/2 of 60 minutes
1/2*60
=30

So, 30 minutes

-> 2/3 of 60 minutes
2/3*60
=40

So, 40 minutes.


Hope this helps. If you have any questions, please put them in the comments below.
5 0
3 years ago
Read 2 more answers
A theatre has 1,024 seats. There will be 92 events at the theatre this season. If each seat is filled for each event, how many p
Sloan [31]
Your answer would be 94, 208
3 0
3 years ago
Other questions:
  • Solve the quadratic equation using the table
    14·2 answers
  • How to write 1/4 as a decimal with explanation
    15·1 answer
  • Randy is flying a kite in which the length of the line to the kite is 88 feet long. If the height measurement shown of the kite
    8·2 answers
  • A bucket that weighs 3 lb and a rope of negligible weight are used to draw water from a well that is 90 ft deep. The bucket is f
    7·1 answer
  • What is the slope of the graph?
    13·1 answer
  • The answer to this problem
    11·2 answers
  • If the discriminant is 22, do you have two real solutions?
    8·2 answers
  • What is 3 divided by 6246
    9·2 answers
  • What is the sum of (2.14x+3.7)+(5+4.9x)?
    15·1 answer
  • What two whole numbers does √89 fall in between ?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!