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Sergeeva-Olga [200]
3 years ago
15

Now, solve this problem. 106% of $ _______ = $7.95 

Mathematics
1 answer:
Alex787 [66]3 years ago
4 0

Answer:

7.5

Step-by-step explanation:

106% of $x = $7.95

In other words,

\[\frac{106}{100}\] of $x = 7.95

Multiplying both sides of the equation by \[\frac{100}{106}\]

\[\frac{106}{100} * \frac{100}{106}\] of x = 7.95 * [\frac{100}{106}]

=> x = [\frac{750}{100}]

=> x = [\frac{7.50}{1}]

=> x = 7.5

Validation: 106% of 7.5 = 7.95

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Answer:

(30.09, 32.91)

Step-by-step explanation:

Mean number of pounds of trash = x = 31.5 pounds

Standard deviation = s = 7.8 pounds

Sample size = n = 120

Confidence level = 95%

Since, we are given the sample standard deviation instead of the population standard deviation, we will use t-test to find the confidence interval.

Degrees of freedom = df = n - 1 = 120 - 1 = 119

The t-value associated with 95% confidence interval and df=119 from the t-table comes out to be:

t = 1.98

The formula to calculate the confidence interval is:

(x-t\frac{s}{\sqrt{n}}, x+t\frac{s}{\sqrt{n}})\\

Using the values in above expression we get:

(31.5-1.98\times\frac{7.8}{\sqrt{120}}, 31.5+1.98\times\frac{7.8}{\sqrt{120}})\\\\ =(30.09,32.91)

Thus, the 95% confidence interval for the mean number of lbs of trash per person per week that is generated in the city is (30.09, 32.91)

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3 years ago
In Chicago, a person must pay 9.5% of the price of a couch in
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Answer: $820

Step-by-step explanation:

Use a proportion

9.5/100 = 77.90/x

Multiply 77.90 times 100 and divide by 9.5, the answer is $820

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3 years ago
Please help solve this SAT math problem. I have 4 more like these so need help with this so that I can solve the rest by myself.
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The notation just means

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g(-4) = 1 - 3 (-4) = 1 + 12 = 13

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(f/g)(-4) = 18/13

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Answer:

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Median: 4

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