All categories

3 years ago

01.02)V 196ind the answer to V48 and select the correct answerational or irrational?8 21, irrationalsv 3, irrational

Mathematics

1 answer:

scoray [572]3 years ago

6 0

Simplifying √196 before doing the multiplication:
( √196 ÷ 7 ) × √48
= ( (√4 × √49) ÷ 7 ) × √48
= ( (2 × 7) ÷ 7 ) × √48
= 2√48
Simplifying √48:
= 2 × √16 × √3
= 2 × 4 × √3
= 8√3
which is irrational because it's a square root

You might be interested in

Two straight edges of a pizza slice meet at an angle of 30°. If the pizza has a radius of 12

melisa1 [442]

Answer:

<h3>area of the slice: A = 12π in² ≈ 37.7 in² </h3><h3>lenght of its crust: L = 24π in ≈ 6.28 in</h3>

Step-by-step explanation:

R = 12 in

360°:30° = 12

so the area of the slice is ¹/₁₂ of whole pizza

A = ¹/₁₂•πR² = ¹/₁₂•π•12•12 = 12π in² ≈ 37.7 in²

Crust is the perimeter of pizza so crust of the slice is ¹/₁₂ of the perimeter:

L = ¹/₁₂•2πR = ¹/₁₂•2π•12 = 2π in ≈ 6.28 in

8 0

3 years ago

Enter <, >, or = to make the<br> statement true.<br> .320 [?] .051

koban [17]

Answer: .320 is greater than .051 (use the > sign)

Step-by-step explanation:

too lazy to explain, but yes

3 0

3 years ago

Erin has quarters and nickels for a total of 16 coins. The value of his coins is $2.60. Let represent the number of quarters and

Aneli [31]

Note: Consider we need to find each type of coins he has.

Given:

Erin has quarters and nickels for a total of 16 coins.

The value of his coins is $2.60.

To find:

The number of each type of coins.

Solution:

Let x represent the number of quarters and y represent the number of nickels.

According to the question,

Total coins : $x+y=16$ ...(i)

Total value : $0.25x+0.05y=2.60$ ...(ii)

Multiply equation (i) by 0.25 and subtract the result from (ii).

$0.25x+0.05y-0.25(x+y)=2.60-0.25(16)$

$0.25x+0.05y-0.25x-0.25y=2.60-4$

$-0.20y=-1.40$

Divide both sides by -0.20.

$y=7$

Put y=7 in (i).

$x+7=16$

$x=16-7$

$x=9$

Therefore, the number of quarters is 9 and number of nickels is 7.

6 0

3 years ago

Ryan opens a bank account with $50. Each month he deposits an amount that doubles his savings. Ryan gets $2 from the bank each m

irga5000 [103]

50(2+2) i think this is right

8 0

4 years ago

Read 2 more answers

USA Today reported that approximately 25% of all state prison inmates released on parole become repeat offenders while on parole

Zepler [3.9K]

Answer:

$\mu =E(X) = 0*0.207+1*0.367+ 2*0.227+ 3*0.162+ 4*0.036+ 5*0.001= 1.456$

For the variance we need to calculate first the second moment given by:

$E(X) = \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) = 0^2*0.207+1^2*0.367+ 2^2*0.227+ 3^2*0.162+ 4^2*0.036+ 5^2*0.001= 3.33$

And the variance is given by:

$\sigma^2 = E(X^2) - [E(X)]^2 = 3.334 -[1.456]^2 =1.21$

And the deviation is:

$\sigma = \sqrt{1.214} = 1.10$

Step-by-step explanation:

For thi case we have the following distribution given:

X 0 1 2 3 4 5

P(X) 0.207 0.367 0.227 0.162 0.036 0.001

For this case the expected value is given by:

$E(X) = \sum_{i=1}^n X_i P(X_i)$

And replacing we got:

$\mu =E(X) = 0*0.207+1*0.367+ 2*0.227+ 3*0.162+ 4*0.036+ 5*0.001= 1.456$

For the variance we need to calculate first the second moment given by:

$E(X) = \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) = 0^2*0.207+1^2*0.367+ 2^2*0.227+ 3^2*0.162+ 4^2*0.036+ 5^2*0.001= 3.33$

And the variance is given by:

$\sigma^2 = E(X^2) - [E(X)]^2 = 3.334 -[1.456]^2 =1.21$

And the deviation is:

$\sigma = \sqrt{1.214} = 1.10$

3 0

4 years ago