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valina [46]
3 years ago
5

Pepper Jamie filled up her 10 Gallon gas tank for 54.50 how much did the gas cost per gallon

Mathematics
1 answer:
dangina [55]3 years ago
4 0

Answer:

$5.45

Step-by-step explanation:

54.50÷10

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If x = 2 + V3, then the value of (x + 1/x) is​
ludmilkaskok [199]

Answer:

4

Step-by-step explanation:

Given

x + \frac{1}{x} ← substitute x = 2 + \sqrt{3}

= 2 + \sqrt{3} + \frac{1}{2+\sqrt{3} }

Rationalise the denominator of the fraction by multiplying the numerator/ denominator by the conjugate of the denominator.

The conjugate of 2 + \sqrt{3} is 2 - \sqrt{3} , thus

= 2 + \sqrt{3} + \frac{2-\sqrt{3} }{(2+\sqrt{3} )(2-\sqrt{3}) }

= 2 + \sqrt{3} + \frac{2-\sqrt{3} }{4-3}

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6 0
3 years ago
An educational psychologist wishes to know the mean number of words a third grader can read per minute. She wants to make an est
Nookie1986 [14]

Answer:

confidence interval = (27.9, 28.3)

Step-by-step explanation:

Here we are given the population std deviation value as 5.7.  So we can use Z critical value for finding out confidence interval.

Sample size n = 4386

Std error of sample mean = \frac{5.7}{\sqrt{4386} } \\=0.0861

Sample mean = 28.1

Z critical value two tailed for 98% = 2.326

margin of error = ±2.326*0.0861 =0.2003

confidence interval lower bound

=28.1-0.2003=27.8997

Upper bound

= 28.1+0.2003\\=28.3003

After rounding off we get

confidence interval = (27.9, 28.3)

7 0
3 years ago
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