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3 years ago

Solve the compound inequality & graph solution set: -3x-2>5 and 5x-1≤-21.

Mathematics

1 answer:

valentinak56 [21]3 years ago

5 0

The sign is only switched when dividing by a negative

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Thang decided to borrow $2000 from his local bank to help pay for a car. His loan was for 3 years at a simple intrest rat it 5%.

irakobra [83]

Answer:Thang will pay $300 as interest

Step-by-step explanation:

We would apply the formula for determining simple interest which is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

From the information given

T = 3 years

P = $2000

R = 5%

Therefore

I = (2000 × 5 × 3)/100

I = 30000/100

I = $300

3 0

3 years ago

A walk-in medical clinic believes that arrivals are uniformly distributed over weekdays (Monday through Friday). It has collecte

allsm [11]

Answer:

The degrees of freedom are given by;

$df =n-1= 5-1=4$

The significance level is 0.1 so then the critical value would be given by:

$F_{cric}= 7.779$

If the calculated value is higher than this value we can reject the null hypothesis that the arrivals are uniformly distributed over weekdays

Step-by-step explanation:

For this case we have the following observed values:

Mon 25 Tue 22 Wed 19 Thu 18 Fri 16 Total 100

For this case the expected values for each day are assumed:

$E_i = \frac{100}{5}= 20$

The statsitic would be given by:

$\chi^2 = \sum_{i=1}^n \frac{(O_i-E_i)^2}{E_i}$

Where O represent the observed values and E the expected values

The degrees of freedom are given by;

$df =n-1= 5-1=4$

The significance level is 0.1 so then the critical value would be given by:

$F_{cric}= 7.779$

If the calculated value is higher than this value we can reject the null hypothesis that the arrivals are uniformly distributed over weekdays

5 0

2 years ago

Prove that the gregorian calendar repeats itself every 400 years.

Setler79 [48]

The calendar obviously has an integral number of years and months in 400 years. If it has an integral number of weeks, then it will repeat itself after that time. The rules of the calendar eliminate a leap year in 3 out of the four century years, so there are 97 leap years in 400 years. The number of excess days of the week in 400 years can be found by ...

(303·365) mod 7 + (97·366) mod 7 = (2·1 + 6·2) mod 7 = 14 mod 7 = 0

Thus, there are also an integral number of weeks in 400 years.

The first day of the week is the same at the start of every 400-year interval, so the calendar repeats every 400 years.

3 0

3 years ago

What is -5(3m+4)= Please help

Naddik [55]

It would be -15m + -20

7 0

3 years ago

Read 2 more answers

An initial amount of $2000 is invested in an account at an interest rate of 5% per year, compounded continuously. Find the amoun