Help me with my last question plz

Rewrite the rational exponent as a radical by extending the properties of integer exponents.

Aloiza [94]

$\bf ~~~~~~~~~~~~\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} \qquad \qquad \cfrac{1}{a^n}\implies a^{-n} \qquad \qquad a^n\implies \cfrac{1}{a^{-n}} \\\\\\ \textit{also recall that }a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} \qquad \qquad \sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}} \\\\ -------------------------------$

$\bf \cfrac{11^{\frac{2}{5}}}{11^{\frac{1}{4}}}\implies 11^{\frac{2}{5}}\cdot 11^{-\frac{1}{4}}\implies 11^{\frac{2}{5}-\frac{1}{4}}\implies 11^{\frac{8-5}{20}}\implies 11^{\frac{3}{20}} \\\\\\ \sqrt[20]{11^3}\implies \sqrt[20]{1331}$

5 0

3 years ago

Read 2 more answers

A manufacturing company regularly conducts quality control checks at specified periods on the products it manufactures. Historic

Rina8888 [55]

Answer:

The probability that none of the LED light bulbs are defective is 0.7374.

Step-by-step explanation:

The complete question is:

What is the probability that none of the LED light bulbs are defective?

Solution:

Let the random variable X represent the number of defective LED light bulbs.

The probability of a LED light bulb being defective is, P (X) = p = 0.03.

A random sample of n = 10 LED light bulbs is selected.

The event of a specific LED light bulb being defective is independent of the other bulbs.

The random variable X thus follows a Binomial distribution with parameters n = 10 and p = 0.03.

The probability mass function of X is:

$P(X=x)={10\choose x}(0.03)^{x}(1-0.03)^{10-x};\ x=0,1,2,3...$

Compute the probability that none of the LED light bulbs are defective as follows:

$P(X=0)={10\choose 0}(0.03)^{0}(1-0.03)^{10-0}$

$=1\times 1\times 0.737424\\=0.737424\\\approx 0.7374$

Thus, the probability that none of the LED light bulbs are defective is 0.7374.

6 0

3 years ago

Who is confused in maths??

tino4ka555 [31]

The Wii[g] (/wiː/ WEE) is a home video game console developed and marketed by Nintendo. It was first released on November 19, 2006 in North America and in December 2006 for most other regions. It is Nintendo's fifth major home game console, following the GameCube, and is a seventh generation home console alongside Microsoft's Xbox 360 and Sony's PlayStation 3.

In developing the Wii, Nintendo president Satoru Iwata directed the company to avoid competing with Microsoft and Sony on computational graphics and power and instead to target a broader demographic of players though novel gameplay. Game designers Shigeru Miyamoto and Genyo Takeda led the console's development under the codename Revolution. The primary controller for the Wii is the Wii Remote, a wireless controller with both motion sensing and traditional controls which can be used as a pointing device towards the television screen or for gesture recognition. The Wii was the first Nintendo console to directly support Internet connectivity, supporting both online games and for digital distribution of games and media applications through the Wii Shop Channel. The Wii also supports wireless connectivity with the Nintendo DS handheld console for selected games. Initial Wii models included full backward compatibility support for the GameCube. Later in its lifecycle, two lower-cost Wii models were produced: a revised model with the same design as the original Wii but removed the GameCube compatibility features, and the Wii Mini, a compact, budget redesign of the Wii which further removed features including online connectivity and SD card storage.

Because of Nintendo's reduced focus on computational power, the Wii and its games were less expensive to produce than its competitors. The Wii was extremely popular at launch, causing the system to be in short supply in some markets. A bundled game, Wii Sports, was considered the killer app for the console. Within a year of launch, the Wii became the sales-leader against the other seventh-generation consoles, and by 2013, had surpassed over 100 million units sold. Total lifetime sales of the Wii had reached over 101 million units, making it Nintendo's best-selling home console, and as of 2020, the fourth best-selling home console to date.

The Wii repositioned Nintendo as a key player in the video game hardware marketplace. The introduction of motion-controlled games via the Wii Remote led both Microsoft and Sony to develop their own competing products—the Kinect and PlayStation Move, respectively. Nintendo found that, while the Wii had broadened the demographics that they wanted, the core gamer audience had shunned the Wii. The Wii's successor, the Wii U, sought to recapture the core gamer market with additional features atop the Wii. The Wii U was released in 2012, and Nintendo continued to sell both units through the following year. The Wii was formally discontinued in October 2013, though Nintendo continued to produce and market the Wii Mini through 2017, and offered a subset of the Wii's online services through 2019.

3 0

3 years ago

f a bag contains 12 quarters, 6 dimes, and 18 nickles, what is the part-to-whole ratio of dimes to all coins?

Anna35 [415]

There are 6 dimes and a total of 36 coins in all so the part to whole ratio is 6:36 or 1:6

3 0

3 years ago

Read 2 more answers

52 – 4 > – 29 AND – 12 + 6 > 2 Solve and give answer in interval notation

BlackZzzverrR [31]

Answer:

wait huh?im confused lol