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4 years ago

Simplify ( √ 5)(^3 √ 5) the answer will be a wholenumber and a fraction

Mathematics

1 answer:

arlik [135]4 years ago

6 0

Answer:

$\sqrt{5}\cdot\sqrt[3]{5} =\sqrt[6]{5^3} \cdot\sqrt[6]{5^2} =\sqrt[6]{5^5} =5^{(5/6)}$

Step-by-step explanation:

The rules of exponents apply, even when they are fractional exponents:

$a^b\cdot a^c=a^{b+c}\\\\\sqrt[b]{x^a}=x^{(a/b)}$

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Question 2 Write the following as an algebraic expression y increased by 4

nata0808 [166]

We need to write the given statement in math terms:

y increased by 4

Recall that increased means that we are adding 4 to the previous number.

Then the mathematical expression is:

y + 4

The quantity y has been increased by 4 units.

5 0

1 year ago

A Pew Research study finds that 23% of Americans use only a cell phone, and no land line, for making phone calls (The Wall Stree

azamat

Answer:

We accept H₀ sample does not give evidence to support that the proportion of Americans who solely use cell phone differs from 23 %

Step-by-step explanation:

A pew research finds that 23 % ( μ ) of Americans use only cell phone

Sample Information

sample size n = 200

x₁ = 51 then p₁ = 51/200 p₁ = 0,255

and q₁ = 1 - p ₁ q₁ = 1 - 0,255 q₁ = 0,745

Sample big enough for the approximation of the binomial distribution to the normal distribution

p₁*n = 0,255 * 200 = 51 > 5 and q₁*n = 0,745* 200 = 149 > 5

Test hypothesis

Null hypothesis H₀ p₁ = μ = 0,23

Alternative hypothesis Hₐ p₁ ≠ 0,23

Is a two tail test. We choose CI = 95 % then significance level is α = 0,05 %

α = 0,05 as is a two tail test α/2 = 0,025

from z-table z(c) = 1,96

To calculate z(s) = ( x - μ ) /√p₁*q₁/n

z(s) = ( 0,255 - 0,23 )/√0,255*0,745/200

z(s) = 0,025 / 0,0308

z(s) = 0,81

Comparing z(s) and z(c)

z(s) < z(c) 0,81 < 1,96

Then z(s) is in the acceptance region: we accept H₀

3 0

3 years ago

Find the range for the measures for the third side of a triangle with the given measures of two sides. 14 and 23

liberstina [14]

Given:

Two sides of a triangle are 14 and 23.

To find:

The angle for the measures for the third side of a triangle.

Solution:

If a, b, c are three sides of a triangle, then

$a+b>c$

$a+c>b$

$b+c>a$

It is given that two sides of a triangle are 14 and 23.

Let the third side of the given triangle be c. Then, using the above inequalities, we get

$a+b>c$

$14+23>c$

$37>c$ ...(i)

Similarly,

$a+c>b$

$14+c>23$

$c>23-14$

$c>9$ ...(ii)

And,

$b+c>a$

$23+c>14$

$c>14-23$

$c>-9$ ...(iii)

Using (i), (ii) and (iii), we get

$9$

Therefore, the range for third side of the triangle is $9$ .

7 0

3 years ago

James and Lisa are looking for a good neighborhood to raise their children. They want neighbors who have kids and who also rolle

alina1380 [7]

Answer:

1. dave has a low chance of rollerblading if he is focusing on his career.

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

A junior college charges $7,391 per year for tuition, $8,244 for room and board, $1,280 for books, and $730 for miscellaneous fe

Inessa [10]

(7391+8244+1280+730)x2=
17645x2= $35290 for 2 years

4 0

3 years ago