Elise Winters
2022-04-23
Answered

How do you write the the decimal 8.823 in expanded form?

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obettyQuokeperg6

Answered 2022-04-24
Author has **14** answers

Step 1

The decimal 8.823 means 8 units, 8 units, 8 one-tenth, 2 one-hundredth and 3 one-thousandth.

In expanded form, this can be written as

$8.823=8+\frac{8}{10}+\frac{2}{100}+\frac{3}{1000}$

The decimal 8.823 means 8 units, 8 units, 8 one-tenth, 2 one-hundredth and 3 one-thousandth.

In expanded form, this can be written as

asked 2021-01-06

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

asked 2020-10-21

On average, 3 traffic accidents per month occur at a certain intersection. What is the probability
that in any given month at this intersection

(a) exactly 5 accidents will occur?

(b) fewer than 3 accidents will occur?

(c) at least 2 accidents will occur?

(a) exactly 5 accidents will occur?

(b) fewer than 3 accidents will occur?

(c) at least 2 accidents will occur?

asked 2020-12-01

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.

asked 2021-05-11

Bethany needs to borrow $\$10,000.$ She can borrow the money at $5.5\mathrm{\%}$ simple interest for 4 yr or she can borrow at $5\mathrm{\%}$ with interest compounded continuously for 4 yr.

a) How much total interest would Bethany pay at$5.5\mathrm{\%}$ simple interest?

b) How much total interest would Bethany pay at$5$ interest compounded continuously?

c) Which option results in less total interest?

a) How much total interest would Bethany pay at

b) How much total interest would Bethany pay at

c) Which option results in less total interest?

asked 2021-02-19

asked 2022-05-22

Suppose ${f}_{n}:X\to [0,\mathrm{\infty}]$ is measurable for $n=1,2,3,\dots $, ${f}_{1}\ge {f}_{2}\ge {f}_{3}\ge \cdots \ge 0$, ${f}_{n}(x)\to f(x)$ as $n\to \mathrm{\infty}$, for every $x\in X$, and ${f}_{1}\in {L}^{1}(\mu )$. Prove that then

$\begin{array}{}\text{(*)}& \underset{n\to \mathrm{\infty}}{lim}{\int}_{X}{f}_{n}\phantom{\rule{thinmathspace}{0ex}}d\mu ={\int}_{X}f\phantom{\rule{thinmathspace}{0ex}}d\mu \end{array}$

and show that this conclusion does not follow if the condition "${f}_{1}\in {L}^{1}(\mu )$" is omitted.

Let $E$ consist of the points $x\in X$ at which ${f}_{1}(x)<\mathrm{\infty}$. By the dominated convergence theorem,

${\int}_{E}{f}_{n}\phantom{\rule{thinmathspace}{0ex}}d\mu \to {\int}_{E}f\phantom{\rule{thinmathspace}{0ex}}d\mu {\textstyle \text{.}}$

Since ${f}_{1}\in {L}^{1}(\mu )$, $\mu ({E}^{c})=0$, and hence (*) follows.

Let $X=\{1,2,3,\dots \}$, and let $\mu $ be the counting measure. For each $n$, define ${f}_{n}:X\to [0,\mathrm{\infty}]$ by

${f}_{n}(x)=\{\begin{array}{ll}\mathrm{\infty}& (x\ge n)\\ 0& (x<n).\end{array}$

Then $lim{f}_{n}=0$, and ${\int}_{X}{f}_{n}\phantom{\rule{thinmathspace}{0ex}}d\mu =\mathrm{\infty}$ for all $n$.

Is this correct?

$\begin{array}{}\text{(*)}& \underset{n\to \mathrm{\infty}}{lim}{\int}_{X}{f}_{n}\phantom{\rule{thinmathspace}{0ex}}d\mu ={\int}_{X}f\phantom{\rule{thinmathspace}{0ex}}d\mu \end{array}$

and show that this conclusion does not follow if the condition "${f}_{1}\in {L}^{1}(\mu )$" is omitted.

Let $E$ consist of the points $x\in X$ at which ${f}_{1}(x)<\mathrm{\infty}$. By the dominated convergence theorem,

${\int}_{E}{f}_{n}\phantom{\rule{thinmathspace}{0ex}}d\mu \to {\int}_{E}f\phantom{\rule{thinmathspace}{0ex}}d\mu {\textstyle \text{.}}$

Since ${f}_{1}\in {L}^{1}(\mu )$, $\mu ({E}^{c})=0$, and hence (*) follows.

Let $X=\{1,2,3,\dots \}$, and let $\mu $ be the counting measure. For each $n$, define ${f}_{n}:X\to [0,\mathrm{\infty}]$ by

${f}_{n}(x)=\{\begin{array}{ll}\mathrm{\infty}& (x\ge n)\\ 0& (x<n).\end{array}$

Then $lim{f}_{n}=0$, and ${\int}_{X}{f}_{n}\phantom{\rule{thinmathspace}{0ex}}d\mu =\mathrm{\infty}$ for all $n$.

Is this correct?

asked 2022-07-07

Step 1

How do you solve and graph $m+2\ge 6$ ?

How do you solve and graph $m+2\ge 6$ ?