In Mr. Hamilton's classroom, there are 16 supply boxes in the cabinet. Each supply box

the mean percentage of a population of people eating out at least once a week is 57% with a standard deviation of 3.5 %. assume

zhuklara [117]

Given:
Population proportion, $\mu _{p}$ = 57% = 0.57
Population standard deviation, σ = 3.5% = 0.035
Sample size, n = 40
Confidence level = 95%

The standard error is
$SE_{p} = \sqrt{ \frac{p(1-p)}{n} } = \sqrt{ \frac{0.57*0.43}{40} } =0.0783$

The confidence interval is
$\hat{p} \pm z^{*}SE_{p}$
where
$\hat{p}$ = sample proportion
z* = 1.96 at the 95% confidence lvvel

The sample proportion lies in the interval
(0.57-1.96*0.0783, 0.57+1.96*0.0783) = (0.4165, 0.7235)

Answer: Between 0.417 and 72.4), or between (41% and 72%)

8 0

3 years ago

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

7 0

3 years ago

Help me to find the slope and t-intercept please asap

Ludmilka [50]

Answer:

4/7x - 5 ________________________________________

8 0

2 years ago

1. The sum of a number and ten.

ale4655 [162]

Answer: X+10

X+10
Explanation:
Break down the information given to you to try and identify what the algebraic expression must looks like. You know that you're dealing with
a sum
→
this means that you are adding something, so you're going to use the
+
sign;

of a number
→
this means that you're dealing with a variable. The most common notation for a variable is
x
.

and 10
→
this is simply an integer that must appear in the algebraic expression along the variable
x
.

So, put all this together to get
x
+
10
You're adding an unknown number,
x
, to an integer,
10

3 0

3 years ago

Read 2 more answers

Please help 15 points!!!

Julli [10]

Answer:

she earns $10 per hour, and can earn $1 in 6 minutes (60 min divided by $10)

Step-by-step explanation:

3 0

2 years ago