Estimate: __ 94,903 1 _

which is the rationalized form of the expression the square root of x divided by the square root of x +the square root of 7

Ilya [14]

Answer:

I assume your goal is to rationalize the denominator -

So you need to multiply the denominator by its conjugate.

So we have:

$\frac{\sqrt{x} }{\sqrt{x}-\sqrt{7} } *\frac{\sqrt{x} +\sqrt{7} }{\sqrt{x} +\sqrt{7}}$

->

$\frac{x-\sqrt{7}\sqrt{x} }{x-7}$

gg

8 0

2 years ago

I spent $10 dollars out $25 what is percent I spent

Lina20 [59]

$\text {Percentage spent = } \dfrac{10}{25} \times 100$

$\text {Percentage spent = } \dfrac{2}{5} \times 100$

$\text {Percentage spent = } 40 \%$

3 0

2 years ago

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FAST

sertanlavr [38]

Answer: The system consists of parallel lines

Step-by-step explanation:

Given system of lines :

$y=\dfrac13x-4$

$3y-x=-7$

Substitute $y=\dfrac13x-4$ in $3y-x=-7$ , we get

$3(\dfrac13x-4)-x=-7\\\\\Rightarrow\ x-12-x=-7\\\\\Rightarrow\ -12=-7$ , which is not true.

That means , system has no solution.

i.e. they are representing parallel lines. [Parallel lines do not intersect and hence they do not have solution.]

6 0

2 years ago

It was 96 kilometers from perry to medford. David raced to medford and idled back. If the round trip took 8 hours, what was his

valkas [14]

Average speed = (total distance) / (total time)

Average speed = (192 km) / (8 hours) = 24 km per hour .

3 0

2 years ago

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An environmental group conducted a study to determine whether crows in a certain region were ingesting food containing unhealthy

nydimaria [60]

Part A

Given info:

xbar = sample mean = 4.90 ppm
s = sample standard deviation = 1.12 ppm
n = 23 = sample size

Because n > 30 is not true, and we don't know the population standard deviation (sigma), this means we must use a T distribution.

The degrees of freedom here are n-1 = 23-1 = 22.

At 90% confidence and the degrees of freedom mentioned, the t critical value is roughly t = 1.717

Use a T distribution table or calculator to determine this. If you don't have a calculator for the task, then you can search out "inverse T calculator" and there are tons of free options to pick from.

The margin of error E is

E = t*s/sqrt(n)

E = 1.717*1.12/sqrt(23)

E = 0.400982

This is approximate and accurate to 6 decimal places.

The confidence interval is going to be xbar plus or minus that E value

L = lower bound = xbar - E = 4.90 - 0.400982 = 4.499018 = 4.50

U = upper bound = xbar + E = 4.90 + 0.400982 = 5.300982 = 5.30

The confidence interval in the format of (L, U) is (4.50, 5.30)

You could also express it as the format L < mu < U and it would be 4.50 < mu < 5.30; however, I'll stick to the first method.

<h3>Answer: (4.50, 5.30)</h3>

=====================================================

Part B

Since we know sigma = 2.6 is the population standard deviation, we can use a Z distribution now.

At 90% confidence, the z critical value is roughly 1.645; use a table or calculator to determine this.

$n = \left(\frac{z*\sigma}{E}\right)^2\\\\n \approx \left(\frac{1.645*2.6}{0.03}\right)^2\\\\n \approx 20325.254444 \\\\$

Round this up to the nearest integer to get 20326. For min sample size problems, <u>always</u> round up.

<h3>Answer: 20326</h3>

6 0

1 year ago

Estimate: __ 94,903 1 __49,995

Estimate: 94,903 1 49,995