What was the original price if: after 10% discount it becomes $450?

2 answers:

7 0

100-10=90

450=90% of original find 100%
divide by 9
50=10%
times 10
500=100%
origianl price=$500 (this is the hack way that only works with nice numbers)

OLEGan [10]3 years ago

7 0

Answer: Original Price=$450

Step-by-step explanation:

Price post discount=$450

Discount=10%

Let the original price be x

Given x - 10% of x=450

$x-\frac{10}{100}\times x$

$\frac{100x-10x}{100}$ =450

$\frac{90x}{100}$ =450

x= $\frac{100\times450}{90}$

On solving

x=500$

The original price =500$

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A random sample of 64 SAT scores of students applying for merit scholarships showed an average of 1400 with a standard deviation

Dennis_Churaev [7]

Answer: 95% confidence interval would be (1341.2,1458.8).

Step-by-step explanation:

Since we have given that

n = 64

Average = 1400

Standard deviation = 240

We need to find the 95% confidence interval for SAT scores.

So, z = 1.96

So, Interval would be

$\bar{x}\pm z\dfrac{\sigma}{\sqrt{n}}\\\\=1400\pm 1.96\times \dfrac{240}{\sqrt{64}}\\\\=1400\pm 1.96\times \dfrac{240}{8}\\\\=1400\pm 1.96\times 30\\\\=1400\pm 58.8\\\\=(1400-58.8,1400+58.8)\\\\=(1341.2,1458.8)$