I need some help with my math :(

Amanda exercised for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40

Misha Larkins [42]

Amanda Billy
1st week 10 5
2nd week 20 10
3rd week 30 20
4th week 40 40

A) Amanda's method is linear because the number of minutes increased by an equal number every week.
common difference is 10.
1st week 0 + 10 = 10
2nd week 10 + 10 = 20
3rd week 20 + 10 = 30
4th week 30 + 10 = 40

Billy's method is exponential:
5(2)^x

1st week 5(2⁰) = 5(1) = 5
2nd week 5(2¹) = 5(2) = 10
3rd week 5(2²) = 5(4) = 20
4th week 5(2³) = 5(8) = 40

8 0

3 years ago

Read 2 more answers

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and a standard de

inna [77]

Answer:

The probability of spending between 4 and 7 days in recovery

P(4≤x≤7) = 0.5445

Step-by-step explanation:

Step(i):-

Given mean of the Population μ = 5.3 days

Given standard deviation of the population 'σ' = 2 days

Let 'X' be the random variable in normal distribution

Let x₁ = 4

$Z_{1} = \frac{x_{1}-mean }{S.D} = \frac{4-5.3}{2} = -0.65$

Let x₂ = 7

$Z_{2} = \frac{x_{2}-mean }{S.D} = \frac{7-5.3}{2} = 0.85$

Step(ii):-

The probability of spending between 4 and 7 days in recovery

P(4≤x≤7) = P(-0.65≤Z≤0.85)

= P(Z≤0.85) - P(Z≤-0.65)

= 0.5 + A( 0.85) - ( 0.5 - A(-0.65)

= 0.5 + A( 0.85) - 0.5 +A(0.65) ( ∵A(-0.65) = A(0.65)

= A(0.85) + A(0.65)

= 0.3023 + 0.2422

= 0.5445

Final answer:-

The probability of spending between 4 and 7 days in recovery

P(4≤x≤7) = 0.5445

6 0

3 years ago

A force F1 of magnitude 6.00 units acts at the origin in a direction 30.0 above the positive x axis. A second force F2 of magnit

kumpel [21]

F1 = 6*cos(30) i + 6*sin(30) j = 5.20 i + 3 j
F2 = 0 i + 5 j 

R = F1 + F2 
Add the 'i's together (x direction) and the 'j's together (y direction) 
R = (5.20 + 0) i + (3 + 5) j = 5.2 i + 8 j 

Magnitude: 
||R|| = √(5.2^2 + 8 ^2) = √91 = 9.54 

Direction: 
Θ = atan ( Rj / Ri ) = atan( 8 / 5.2 ) = 57.0⁰

5 0

3 years ago

Sierra’s book has 200 pages. If she reads 20% of her, she will have read 40 pages. If Sierra has read 120 pages of her 200 pages

marysya [2.9K]

Answer:

60%

Step-by-step explanation:

Multiply 40 by 3 and you get 120 so then you multiply 20% by 3 and get 60%

5 0

3 years ago

Factor. x (squared)+3xy-54y (squared)

Alinara [238K]