Learn Decimals with Plainmath's In-Depth Explanations and Real-World Examples

The product of 2 decimals is 20.062 one of the factors has 2 decimals .how many decimals in other factors.

NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by ${\displaystyle h\left(t\right)=-4.9t^2+358t+129}$ Assuming rocket launched at t = 0 and height is measured above sea level in meters.

The number multiplied on both sides of the equation ${\displaystyle 0.9x-4.3=0.47}$ in order to clear of decimals.

Marks will be awarded for accuracy in the rounding of final answers where you are asked to round. To ensure that you receive these marks, take care in keeping more decimals in your intermediate steps than what the question is asking you to round your final answer to.
A fair 7 -sided die with the numbers 1 trough 7 is rolled five times. Express each of your answers as a decimal rounded to 3 decimal places.
(a) What is the probability that exactly one 3 is rolled?
(b) What is the probability that at least one 3 is rolled?
(c) What is the probability that exactly four of the rolls show an even number?

David worked $7\frac{1}{3}$ hours today and planted I I trees. It takes him about the same amount of time to plant each tree. How long did it take him to plant each tree? It took him ___________. hour to plant each tree.

Define rational and irrational number. Give examples.

Find z, given the following. (Give your answer correct to two decimal places.)
$x=233,\mu =223,\sigma =12.2$
$z=?$

Answer this question and show the steps. ${\displaystyle \sqrt{x}+\sqrt{y}=3}$, find the value of ${\displaystyle \frac{dy}{dx}}$ at the point (4,1)

Solve the differential equation for Newton’s Law of Cooling to find the temperature function in the following case.
A pot of boiling soup $({100}^{\circ }C)$ is put in a cellar with a temperature of
${10}^{\circ }C.$
After 30 minutes, the soup has cooled to ${80}^{\circ }C$.
When willthe temperature of the soup reach ${30}^{\circ }C?$

Solve the equation by expressing each side as a power of the same base and then equating exponents. Given: ${\displaystyle 8^{4x}=3.1}$

If $2000 is invested at an interest rate of 4.5% per year, compounded continuously, find the value of the investment after the given number of years. (Round your answers to the nearest cent.) a) 2 years b) 4 years c) 12 years

According to a study by Dr. John McDougall of his live-in weight loss program at St. Helena Hospital, the people who follow his program lose between 6 and 15 pounds a month until they approach trim body weight. Let's suppose that the weight loss is uniformly distributed. We are interested in the weight loss of a randomly selected individual following the program for one month. Give the distribution of X. Enter an exact number as an integer, fraction, or decimal.${\displaystyle f\left(x\right){=}_{}}$ where ${\displaystyle \le X\le .\mu =\sigma =}$. Find the probability that the individual lost more than 8 pounds in a month.Suppose it is known that the individual lost more than 9 pounds in a month. Find the probability that he lost less than 13 pounds in the month.

Find the solution of the equation rounded to two decimals. ${\displaystyle 3.16(x+4.63)=4.19(x-7.24)}$

A deposit of $1500 in an account pays 7.25% interest a year. What is the account balance after 8 years? (2 decimals)

Convert ${\displaystyle 9.2\times {10}^{-5}}$ to standard notation.

To subtract: ${\displaystyle 0.064-10.2}$

Mathematical Reasoning
True or False?
There exist irrational numbers with repeating decimals?
There exists a natural number x such that $y>x$ for every naural number y?

You intend to estimate a population mean with a confidence interval. You believe the population to have a normal distribution. Your sample size is 28. Find the critical value that corresponds to a confidence level of 98%. (Report answer accurate to three decimal places with appropriate rounding.) ${\displaystyle t\frac{a}{2}=}$

Choose all of the fractions that represent one whole:
$\frac{8}{8},\frac{4}{4},\frac{1}{4},\frac{1}{1},\frac{1}{2}$

Given exponential equations,
a) $3^{(4x-1)}=11$
b) $6^{x+3}=3^x$
To solve for x