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2 years ago

Help me pls thankyouuuuuuu

Mathematics

2 answers:

torisob [31]2 years ago

8 0

Answer: 4 $\sqrt[3]{4}$

Step-by-step explanation:

Ahat [919]2 years ago

7 0

hope it helps. ...........

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2 years ago

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I need help with this, neither of my parents can help me and i want to understand.

olga2289 [7]

Answer:

See explanation

Step-by-step explanation:

1. To rewrite the expression

$(4^{\frac{2}{5}})^{\frac{1}{4}},$

use exponents property

$(a^m)^n=a^{m\cdot n}$

So,

$(4^{\frac{2}{5}})^{\frac{1}{4}}=4^{\frac{2}{5}\cdot \frac{1}{4}}=4^{\frac{2}{20}}=4^{\frac{1}{10}}$

2. Why $10^{\frac{1}{3}}=\sqrt[3]{10}?$

Raise both sides to 10 power:

$(10^{\frac{1}{3}})^3=10^{\frac{1}{3}\cdot 3}=10^1=10\\ \\(\sqrt[3]{10})^3=10$

So,

$(10^{\frac{1}{3}})^3=(\sqrt[3]{10} )^3$

3. Simplify $\dfrac{3^4}{9}$

Use the Quotient of Powers Property:

$\dfrac{a^m}{a^n}=a^{m-n}$

Then

$\dfrac{3^4}{9}=\dfrac{3^4}{3^2}=3^{4-2}=3^2$

4. Solve $4\sqrt{2}+5\sqrt{4}$

First, note that $\sqrt{4}=2,$ then

$4\sqrt{2}+5\sqrt{4}=4\sqrt{2}+5\cdot 2=4\sqrt{2}+10$

Number $4\sqrt{2}$ is irrational number, number 10 is rational number. The sum of irrational and rational numbers is irrational number.

5. The same as option 4.

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3 years ago

For the data set: {1.5, 2.3, 1.7, 3.6, 2.9, 4.2}, identify the percentile for the value 2.9.

antiseptic1488 [7]

Answer:

58.33%.

Step-by-step explanation:

We have been given a data set {1.5, 2.3, 1.7, 3.6, 2.9, 4.2} and we are asked to find the percentile for value 2.9.

First of all let us arrange our data points from smallest to largest as: {1.5, 1.7, 2.3, 2.9, 3.6, 4.2}.

We can see that our data set has 6 data points and 2.9 is 4th data point.

We will use percentile rank formula to solve our problem.

$P=\frac{(100*(i-0.5))}{n}$ , where,

P= Percentile rank,

i= Rank of the data point,

n = Total number of data points.

Upon substituting our given values we will get,

$P=\frac{(100*(4-0.5))}{6}$

$P=\frac{(100*3.5)}{6}$

$P=\frac{350}{6}$

$P=58.333$

Therefore, percentile rank for the value 2.9 is 58.33%.

3 0

3 years ago