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4 years ago

Use only positive exponents (4vy^-9) * (2x^-6 x^6 y^6) * (3v^4)

1 answer:

8 0

$\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (4vy^{-9})\cdot (2x^{-6}x^6y^6)\cdot (3v^4)\implies 4vy^{-9}2x^{-6}x^6 y^6 3v^4 \\\\\\ 4\cdot 3\cdot 2vv^4y^{-9}y^6x^{-6}x^6 \implies 24v^{1+4}y^{-9+6}x^{-6+6}\implies 24v^5y^{-3}x^0 \\\\\\ 24v^5\cdot \cfrac{1}{y^3}\cdot 1\implies \cfrac{24v^5}{y^3}$

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Selma is buying a cell phone for business. The regular price of the phone is $179. If she buys the phone at 20% discount how muc

Nuetrik [128]

Answer:

$\large \boxed{\$35.80}$

Step-by-step explanation:

Discount = Regular price × % discount

$\text{Discount} = \text{\$179 regular price} \times \dfrac{\text{\$20 }}{\text{\$100 regular price}} = \textbf{\$35.80}\\\text{Selma will save $\large \boxed{\mathbf{\$35.80}}$}$

4 0

4 years ago

ASAP in 4 math question!

Zepler [3.9K]

1. - 4 = $\frac{x}{9}$

=> x = - 36

___________

2. -18 = 6t

=> t = $\frac{-18}{6}$

=> t = -3

___________

3. x - 18 = -72

=> x = - 72 + 18

=> x = - 54

___________

4. -18 = x - 15

=> x = -18 + 15

=> x - 3

7 0

2 years ago

Genetic Defects Data indicate that a particular genetic defect occurs in of every children. The records of a medical clinic show

Dovator [93]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The probability that there exist 60 or more defected children is $P(x \ge 60)=0.0901$

Looking at the value for this probability we see that it is not so small to the point that the observation of this kind would be a rare occurrence

Step-by-step explanation:

From the question we are told that

in every 1000 children a particular genetic defect occurs to 1

The number of sample selected is $n= 50,000$

The probability of observing the defect is mathematically evaluated as

$p = \frac{1}{1000}$

$= 0.001$

The probability of not observing the defect is mathematically evaluated as

$q = 1-p$

$= 1-0.001$

$= 0.999$

The mean of this probability is mathematically represented as

$\mu = np$

Substituting values

$\mu = 50000*0.001$

$= 50$

The standard deviation of this probability is mathematically represented as

$\sigma = \sqrt{npq}$

Substituting values

$= \sqrt{50000 * 0.001 * 0.999}$

$= \sqrt{49.95}$

$= 7.07$

the probability of detecting $x \ge60$ defects can be represented in as normal distribution like

$P(x \ge 60)$

in standardizing the normal distribution the normal area used to approximate $P(x \ge 60)$ is the right of 59.5 instead of 60 because x= 60 is part of the observation

The z -score is obtained mathematically as

$z = \frac{x-\mu }{\sigma }$

$= \frac{59.5 - 50 }{7.07}$

$=1.34$

The area to the left of z = 1.35 on the standardized normal distribution curve is 0.9099 obtained from the z-table shown z value to the left of the standardized normal curve

Note: We are looking for the area to the right i.e 60 or more

The total area under the curve is 1

$P(x \ge 60) \approx P(z > 1.34)$

$= 1-P(z \le 1.34)$

$=1-0.9099$

$=0.0901$

3 0

3 years ago

3x+60 find the value of X

sleet_krkn [62]

The equation has to be set to something otherwise it is just an expression. I will assume that you mean 3x+60=0 in which case x equals negative 20

3 0

4 years ago

10. The lengths of the electrical extension cords in a workshop are 6 ft, 8 ft, 25 ft, 8 ft, 12 ft, 50 ft, and 25 ft. What are t

Setler79 [48]

First, let's find the mode since It's the one with the different options among the answer choices. So the numbers that repeat are 8 and 25, so in order to find the in inches, you'd have to multiply that by 12.
8 x 12 = 96
25 x 12 = 300
Therefore, your answer is A.

6 0

3 years ago