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2 years ago

The price of a computer was decreased by 30% to £336. What was the price before the decrease?

Mathematics

1 answer:

Goryan [66]2 years ago

7 0

Answer:

£480

Step-by-step explanation:

x = the original price of a computer

£x = 100% of the original price

The price of a computer was decreased by 30% to £336.

This means:

£336 = 100% - 30%

£336 = 70% of the original price

From this, we will find 1% of the original price.

£336 ÷ 70 = 1%

£4.8 = 1%

Since the original price ( x ) = 100% of the original price, we will find 100% of the original price.

£4.8 × 100 = 100%

£480 = 100%

Therefore, the original price of a computer = £480

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Find the length of the longest line segment that can be drawn on a rectangular board 3.07m by 2.24m

nikklg [1K]

For rectangle
l=3.07m
b=2.24m
so longest side that can be drawn is diagonal of rectangular board
=squareroot l^2+b^2
=squareroot3.07^2+2.24^2
=squareroot9.4249+5.0176
=squareroot14.4425
=3.80
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2 years ago

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2 years ago

Convert 12080 gallons per month into liters per hour

Anastaziya [24]

In this question , we have to convert 12080 gallons per month to liters per hour .

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5 0

2 years ago

A random sample of 6 homes in Gainesville, Florida between 1800 and 2200 square feet had a mean of 212990 and a standard deviati

Andrej [43]

Answer:

The 95% confidence interval for the average price of a home in Gainesville of this size is between 183,772.5 square feet and 242,207.5 square feet.

Step-by-step explanation:

We have the standard deviation of the sample, so we use the students t-distribution.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 6 - 1 = 5

Now, we have to find a value of T, which is found looking at the t table, with 5 degrees of freedom(y-axis) and a confidence level of 0.95( $t_{95}$ ). So we have T = 2.015

The margin of error is:

M = T*s = 2.015*14500 = 29217.5.

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 212990 - 29217.5 = 183,772.5 square feet

The upper end of the interval is the sample mean added to M. So it is 212990 + 29217.5 = 242,207.5 square feet

The 95% confidence interval for the average price of a home in Gainesville of this size is between 183,772.5 square feet and 242,207.5 square feet.

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2 years ago

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Dafna1 [17]

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2 years ago