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3 years ago

A jacket that reguraly costs $40 is on sale for $32 what percent of decrease was in the price of the jacket

2 answers:

4 0

Use the formula (new price-old price) / old price

32-40=-8
-8/40=-20%

the percent difference is 20%

the negative means it was a markdown

lawyer [7]3 years ago

3 0

Original price: $40
Sale Price: $32
Total changes: $8
Take the amount increase/decrease and times divide by the original amount and times by 100
8/40=.2 x 100= 20%
or 10% of 40 is 4
20% of 40=8
so The percent was 20%

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A national survey of companies included a question that asked whether the company had at least one bilingual telephone operator.

nirvana33 [79]

Answer:

The first option is correct. Option A is correct.

LCL = 0.270, and UCL = 0.397

80% Confidence interval = (0.270, 0.397)

Step-by-step explanation:

The data for Y and N for the 90 companies is attached to this solution provided.

Y represents companies with at least 1 bilingual operator and N represents companies with no bilingual operator.

The number of Y in the data = 30

Hence, sample proportion of companies with at least one bilingual operator = (30/90) = 0.3333

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion = 0.3333

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 80% confidence level for sample size of 90 is obtained from the z-tables.

Critical value = 1.280

Standard error of the mean = σₓ = √[p(1-p)/n]

p = sample proportion

n = sample size = 90

σₓ = √[0.3333×0.6667)/90] = 0.0496891568 = 0.04969

80% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.3333 ± (1.28 × 0.04969)

CI = 0.3333 ± 0.0636021207

80% CI = (0.2696978793, 0.3969021207)

80% Confidence interval = (0.270, 0.397)

Hope this Helps!!!

3 0

3 years ago

Multiply mixed numbers 3 1/2 X 2 1/3

cricket20 [7]

Answer:

8 1/6

Step-by-step explanation:

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6 0

3 years ago

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klio [65]

Answer:

19.5

Step-by-step explanation:

165 divided by 8 is 19.5

8 0

2 years ago

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The figures are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number.

Akimi4 [234]

Answer: Option b.

Step-by-step explanation:

First, you need to calculate the ratio of the area. This is:

$ratio=(\frac{64}{28})^2\\\\ratio=\frac{256}{49}$

You know that the area of the smaller trapezoid is 771 m², then you can set up the following proportion, where "x" is the area of the larger trapezoid. Then you have:

$\frac{256}{49}=\frac{x}{771}$

Now you must solve for "x". Therefore, you get that the area of the larger trapezoid is:

$x=(771)(\frac{256}{49})\\\\x=4,028m^2$

3 0

3 years ago

During a scuba dive, Lainey descended to a point 19 feet below the ocean surface. She continued her descent at a rate of 25 feet

Leno4ka [110]

Answer:

$25t+19\leq 144$

$t\leq5$

The number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface is <u>at most 5 minutes.</u>

Step-by-step explanation:

Given:

Initial depth of the scuba dive = 19 ft

Rate of descent = 25 ft/min

Maximum depth to be reached = 144 ft

Now, after 't' minutes, the depth reached by the scuba dive is equal to the sum of the initial depth and the depth covered in 't' minutes moving at the given rate.

Framing in equation form, we get:

Total depth = Initial Depth + Rate of descent × Time

Total depth = $19+25t$

Now, as per question, the total depth should not be more than 144 feet. So,

$\textrm{Total depth}\leq 144\ ft\\\\19+25t\leq 144\\\\or\ 25t+19\leq 144$

Solving the above inequality for time 't', we get:

$25t+19\leq 144\\\\25t\leq 144-19\\\\25t\leq 125\\\\t\leq \frac{125}{25}\\\\t\leq 5\ min$

Therefore, the number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface is at most 5 minutes.

7 0

3 years ago