MATHEMATICS COLLEGE

About 58 million people die every year. About how many die each day, on average?

Answers

Answer 1

Answer:

Answer:

If a regular year, about 158,904. If a leap year, about 158,469

Step-by-step explanation:

for a regular year, 58,000,000 divided by 365 = 158,904

for a leap year, 58,000,000 divided by 366 = 158,469

Answer 2

Answer:

Answer: 158,904

Step-by-step explanation:

58,000,000/365=158,904.10958904 which rounded is 158,904

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50 POINTSTyrone rolls a standard number cube multiple times and records the data in the table above. At the end of the experiment, he counts that he has rolled 155 sixes. Find the experimental probability of rolling a six, based on Tyrone’s experiment. Round the answer to the nearest thousandth.

Find the acute angle between the diagonal of rectangle whose sides are 5cm and 7cm

Answers

Answer:

The arc tangent of angle a = (5/7)

angle a = 35.538 Degrees

Of course, we might be solving for angle b so,

angle b = 90 -35.538 Degrees = 54.462 Degrees

Step-by-step explanation:

In a poll conducted by the Gallup organization in April 2013, 48% of a random sample of 1022 adults in the U.S. responded that they felt that economic growth is more important than protecting the environment. We can use this information to calculate a 95% confidence interval for the proportion of all U.S. adults in April 2013 who felt that economic growth is more important than protecting the environment. Make sure to include all steps.

Answers

Answer:

The 95% confidence interval is $0.449 < p < 0.48 + 0.511$

Step-by-step explanation:

From the question we are told that

The sample proportion is $\r p = 0.48$

The sample size is $n = 1022$

Given that the confidence level is 95% then the level of significance is mathematically evaluated as

$\alpha = 100 - 95$

$\alpha = 5 \%$

$\alpha = 0.05$

Next we obtain the critical value of $(\alpha )/(2)$ from the z-table , the value is

$Z_{(\alpha )/(2) } =Z_{(0.05 )/(2) }= 1.96$

The reason we are obtaining critical value of $(\alpha )/(2)$ instead of $\alpha$ is because

$\alpha$ represents the area under the normal curve where the confidence level interval ( $1-\alpha$ ) did not cover which include both the left and right tail while $(\alpha )/(2)$ is just the area of one tail which what we required to calculate the margin of error

NOTE: We can also obtain the value using critical value calculator (math dot armstrong dot edu)

Generally the margin of error is mathematically represented as

$E = Z_{(\alpha )/(2) } * \sqrt{(\r p (1- \r p ))/(n) }$

substituting values

$E = 1.96* \sqrt{(0.48 (1- 0.48 ))/(1022) }$

$E = 0.03063$

The 95% confidence interval is mathematically represented as

$\r p - E < p < \r p + E$

substituting values

$0.48 - 0.03063 < p < 0.48 + 0.03063$

$0.449 < p < 0.48 + 0.511$

Zoey invested $230 in an account paying an interest rate of 6.3% compounded daily.Assuming no deposits or withdrawals are made, how much money, to the nearest
hundred dollars, would be in the account after 12 years?

Answers

Answer:

A ≈ $500

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Algebra I

Compounded Interest Rate: A = P(1 + r/n)ⁿˣ

A is final amount
P is initial (principle) amount
r is rate
n is number of compounds
x is number of years

Step-by-step explanation:

Step 1: Define

P = 230

r = 0.063

n = 365

x = 12

Step 2: Solve for A

Substitute: A = 230(1 + 0.063/365)³⁶⁵⁽¹²⁾
Divide: A = 230(1 + 0.000173)³⁶⁵⁽¹²⁾
Multiply: A = 230(1 + 0.000173)⁴³⁸⁰
Add: A = 230(1.00017)⁴³⁸⁰
Exponents: A = 230(2.1296)
Multiply: A = 489.808

Ok if Dan made 1412.42 and Aaron made 1187.92 And total amount of fuel for the truck was 418.91 how do fuel do I deduct for each driver? They both driving the same truck. I need to know how to divide the fuel evenly

Answers

First we should calculate the relation between how much they make and the fuel cost so we write

(1412.42+1187.92)/418.91=6.21

So that means that for every 6.21 dollars made 1 dollar of fuel must be deducted so now we calculate what they need to be deducted by:

Dan deduction = 1412.42/6.21= 227.41
Aaron deduction= 1187.92/6.21 = 191.29

-3 = 15+4y round to nearst tenth