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3 years ago

At the beach, 49% of people have red towels and 11% have blue towels. If the

Mathematics

1 answer:

Margaret [11]3 years ago

3 0

Answer: 40%

Step-by-step explanation:

Percentage of people that have red towels = 49%

Percentage of people that have blue towels = 11%

Therefore, the percentage of the people at the beach have white

towels will be:

= 100% - (49% + 11%)

= 100% - 60%

= 40%

Therefore, the answer is 40%.

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A cell phone provider classifies its customers as Low users (less than 400 minutesper month) or High users (400 or more minutes

Svet_ta [14]

Answer:

a ) See step by step explanation

b) 50% and 50%

Step-by-step explanation:

The definition of type of user x is:

if x < 400 minutes per month low user

if x > 400 minutes per month high user

The value for these states are of course yes or no ( the user is low or high user)

Then:

if the user is low today xt (0) we have the probability of 80% ( 0,8) of have the user in the same condition and 20% (0,2) of having him or her as high user

xt = 1

If the user is high today xt (1) is high today we have the probability of 70% ( 0,7) of having the user in the same condition and 30% (0,3) of having him or her as high user

a) Then we construct the stochastic matrix

Type of user

(xt) xt xt+1

Low (0) or L 0,8 0,2

High(1) or H 0,3 0,7

The resulting equation system is:

xt = 0,8* xt + 0,2* xt+1

xt+1 = 0,3*xt + 0,7* xt+1

1 = xt + xt+1

Solving for variables xt+1 = 1 - xt

xt = 0,8*xt + ( 1 - xt ) * 0,2

xt - 0,8*xt = 0,2 - 0,2xt

xt - 0,6*xt = 0,2

0,4*xt = 0,2

xt = 0,5 and xt+1 = 0,5

b) If in January 0,5 ( 50%) of customesr were low user

In february teh % of low user customer wll be

xt = 0,8* xt + 0,2* xt+1

0,5 = 0,8*0,5 + 0,2*xt+1

0,5 = 0,4 + 0,2 *xt+1

0,1/0,2 = xt+1 xt+1 = 0,5 or 50%

The same answer for March

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3 years ago

You deposit $200 in an account earning 3.5% simple interest how long will it take for the balance of the account to be $221

Rus_ich [418]

It takes 3 years for the balance of account to be $ 221

Solution:

From given information,

Principal = $ 200

Rate of interest = 3.5 %

Amount after "n" years = $ 221

To find: number of years

In simple Interest,

Simple interest = amount earned - principal

Simple interest = 221 - 200 = 21

Thus simple interest earned is $ 21

The formula for simple interest is given as:

$simple\ interest = \frac{ p \times n \times r}{100}$

Where,

p is the principal

n is the number of years

r is the rate of interest per annum

Substituting the given values in formula,

$21 = \frac{200 \times n \times 3.5}{100}\\\\21 = 2n \times 3.5\\\\n = \frac{21}{7}\\\\n = 3$

Thus it takes 3 years for the balance of account to be $ 221

7 0

3 years ago