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3 years ago

Rewrite 1/x^-3/6 in simplest radical form. show each step of your process

1 answer:

3 0

$\frac{1}{x^{- \frac{3}{6}} } \\ = \frac{ x^{\frac{3}{6}}}{1} \\= x^{\frac{3}{6}} \\ =x^{\frac{3}{2\times 3} }\\ =x^ \frac{1}{2} \\ = \sqrt[2]{x^1} \\ = \sqrt{x}$

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What is the distance in miles, between Joe's home and the park? Round answers to the nearest tenth

Svetlanka [38]

You're on the right track! Now that you have drawn a right triangle with the hypotenuse as the segment from Joe's home to the Park, we can use Pythagorean Theorem to solve for the hypotenuse.

Pythagorean Theorem = a squared + b squared = c squared
A and B are the legs, and C is the hypotenuse. We can find the legs be calculating how many units they are.

2 - (-1) = 3
3 - 1 = 2

Pythagorean Theorem = 3 squared + 2 squared = c squared
= 9 + 4 = c squared
= 13 = c squared
= $\sqrt{13}$ = c

The square root of 13 is around 3.6, so Joe's house is approximately 3.6 miles away from the park.

8 0

3 years ago

When a truckload of apples arrives at a packing plant, a random sample of 125 apples are selected and examined for bruises and o

valentinak56 [21]

Answer:

You would need to go 1.6 standard errors away from 0.09.

Step-by-step explanation:

We can solve this using the normal distribution, because, by the Central Limit Theorem, the sampling distribution of the sample proportions is approximately normal.

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

89% of the sample proportions.

50 - 89/2 = 5.5th percentile

50 + 89/2 = 94.5th percentile

5.5th percentile

X when Z has a pvalue of 0.055. So X when Z = -1.6.

So 1.6 standard error away from 0.09.

94.5th percentile

X when Z has a pvalue of 0.945. So X when Z = 1.6.

So 1.6 standard error away from 0.09.

You would need to go 1.6 standard errors away from 0.09.

3 0

4 years ago

Y/3 + 8 = -2 solve for y<br> a. -30<br> b. -18<br> c. 18<br> d. 30

Rainbow [258]

Answer:

$\large\boxed{a.\ -30}$

Step-by-step explanation:

$\dfrac{y}{3}+8=-2\qquad\text{subtract 8 from both sides}\\\\\dfrac{y}{3}+8-8=-2-8\\\\\dfrac{y}{3}=-10\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot\dfrac{y}{3\!\!\!\!\diagup_1}=(3)(-10)\\\\y=-30$

5 0

3 years ago

Determine if graph is a function

Zepler [3.9K]

No it is not a function.

8 0

3 years ago

Brian has 40000 to invest in a mix of corporate and municipal bonds. The corporate bond pays 10% simple annual interest and the

jonny [76]

Answer:

Sum of money invested in corporate bonds = 30,000

Step-by-step explanation:

Total sum = 40,000

The rate of interest for corporate bonds = 10 % = 0.1

The rate of interest for municipal bonds = 6 % = 0.06

Total interest = 3600

Let sum of money invested in corporate bonds = x

The sum of money invested in municipal bonds = 40000 - x

$x$ × 0.1 × 1 + ( $40000 - x$ ) × 0.06 × 1 = 3600

(0.1- 0.06) $x$ + 2400 = 3600

0.04 $x$ = 1200

$x$ = 30,000

Since x = sum of money invested in corporate bonds

So sum of money invested in corporate bonds = 30000

4 0

4 years ago