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4 years ago

A rectangle 24m by 18m has both its length and width increased by 5%. What is the exact % increase in its area?

Mathematics

1 answer:

xxTIMURxx [149]4 years ago

7 0

Answer:

10.25%.

Step-by-step explanation:

The increase of the lengths and width is by a factor 1.05. ( as the increase is 5%).

So the increase of the area is by a factor 1.05^2 = 1.1025.

So the percent increase in the area = 1.1025 - 1

= 0.1025

= 10.25%.

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The batteries from a certain manufacturer have a mean lifetime of 850 hours, with a standard deviation of 70 hours, assuming tha

matrenka [14]

To answer (a), we will need to find the Z value for 710 hours and 990 hours.

$\begin{gathered} For\text{ 710} \\ Z\text{ = }\frac{x-\mu}{\sigma} \\ \text{ = }\frac{710-850}{70} \\ \text{ = -2} \\ p\text{ =0.0228 } \\ For\text{ 990:} \\ Z\text{ = }\frac{990-850}{70} \\ \text{ =2} \\ p\text{ = 0.9772} \end{gathered}$ $\begin{gathered} To\text{ find P \lparen–2 \le Z \le 2\rparen} \\ =\text{ 0.9772 -0.0228} \\ =\text{ 0.9544} \\ =95.44\% \end{gathered}$

B) 68% of data lies between one standard deviation of the mean.

850 +70 = 920

850 - 70 = 780

5 0

2 years ago

How do I solve this

Alina [70]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\displaystyle\sum \limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio} \end{cases} \\\\[-0.35em] ~\dotfill$

$\bf S_{20}=\displaystyle\sum \limits_{n=1}^{\stackrel{\stackrel{n}{\downarrow }}{20}}~\stackrel{\stackrel{a_1}{\downarrow }}{3}(\stackrel{\stackrel{r}{\downarrow }}{1.5})^{n-1}\implies S_{20}=3\left(\cfrac{1-1.5^{20}}{1-1.5} \right)\implies S_{20}=3\left(\cfrac{1-\stackrel{\approx}{3325.3}}{-0.5} \right) \\\\\\ S_{20}=3\left(\cfrac{-3324.3}{-0.5} \right)\implies S_{20}=3(6648.6)\implies S_{20}=19945.8$

8 0

3 years ago

Read 2 more answers

PLEASE HELP WILL GIVE BRIANLIEST!

IceJOKER [234]

Answer:

A"(1, -5)

B"(3, -5)

C"(4, -3)

D"(2, -3)

Step-by-step explanation:

When you are graphing coordinates make sure you have graph paper. When you plot the coordinates you reflect it over the x axis. The slide down 2 units down.

Hope this helps ☝️☝☝

3 0

3 years ago

The cost of safely disposing/A of the toxic chemicals is approximately/B

melomori [17]

The cost of safely disposing of the toxic chemicals is approximately five times what the company paid to purchase it.(Option D)

<h3>What is sentence correction?</h3>

Sentence correction or sentence improvement is a type of grammatical practice where a sentence is given with a word or a phrase that requires grammatical changes or improvement.

Now,

Here, we are talking about "toxic chemicals", that is "plural" but in the Part D of the sentence, "it" refers to the singular chemical.

Hence, the correction needs to be made at Option D; the correction would be: "paid to purchase them."

To learn more about sentence correction, refer to the link: brainly.com/question/14632568

#SPJ4

3 0

2 years ago

Which shows 34,867 rounded to the nearest hundred? O A 34,900 . B. 34.800 C. 34 500 D. 34.000

worty [1.4K]

Answer:

A. 34,900

Good Luck!!

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7 0

3 years ago