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3 years ago

10

The length of a new rectangular playing field is 7 yards longer than quadruple the width. If the perimeter of the rectangular pl

aying field is 414 yards, what are its dimensions:
The width is yards.
The length is yards.

1 answer:

Reil [10]3 years ago

6 0

Answer:
length: 167 yards
width: 40 yards

check: 4x+7
4(40)+7=167
167+167+40+40= 414

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Write three numerical expressions that are equivalent to (0.0004) . (0.005)

yKpoI14uk [10]

<em><u>The three equivalent numerical expressions are:</u></em>

$(0.0004) . (0.005) = (\frac{4}{10000}).(\frac{5}{1000})$

$(0.0004) . (0.005)= (\frac{1}{2500}).(\frac{1}{200})$

$(0.0004) . (0.005) = (4 \times 10^{-4}).(5 \times 10^{-3})$

<em><u>Solution:</u></em>

We have to write three numerical expressions that are equivalent to (0.0004) . (0.005)

<em><u>Given expression is:</u></em>

(0.0004) . (0.005)

<em><u>First numerical expression:</u></em>

We know that 0.0004 can be written in fraction as:

$0.0004 = \frac{0.0004 \times 10000}{10000} = \frac{4}{10000}$

Similarly,

$0.005 = \frac{0.005 \times 1000}{1000} = \frac{5}{1000}$

Therefore,

$(0.0004) . (0.005) = (\frac{4}{10000}).(\frac{5}{1000})$

<em><u>Second numerical expression:</u></em>

The first numerical expression can be simplified to get second numerical expression

$(\frac{4}{10000}).(\frac{5}{1000}) = (\frac{1}{2500}).(\frac{1}{200})$

<em><u>Third numerical expression:</u></em>

The given expression can be expressed in scientific notation:

<em><u>Steps for converting to scientific notation:</u></em>

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

If you did not need to move the decimal b = 0.

Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."

Remove trailing 0's only if they were originally to the left of the decimal point.

$0.0004 = 4 \times 10^{-4}\\\\0.005 = 5 \times 10^{-3}$

Therefore, third equivalent numerical expression is:

$(0.0004) . (0.005) = (4 \times 10^{-4}).(5 \times 10^{-3})$

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3 years ago

A bag contains 5 gold marbles, 10 silver marbles, and 26 black marbles. The rules of the game are as follows: You randomly selec

Gekata [30.6K]

Answer:

You will most likely lose $1 from playing this game

Step-by-step explanation:

So lets look at the info they gave us...

Gold-$5 (We have 5)

Silver-$2 (We have 10)

Black-$0 (We have 26)

Total Marbles: 41

So now we can find the probability of us picking each color and we will use the color with the highest probability to make the logical assumption of what our profits or loss will be, let's go!

So the chances of us picking gold will be 5/41 because there are only five in the entire batch of 41 marbles, <u>so that seems pretty low</u>

<u />

The chances of us picking a silver marble is 10/41 which is pretty decent, <u>we have about a 25% chance, we'll keep that one in mind.</u>

<u />

The chances of us picking a black marble is 26/41, which is over 50 percent! We are going to use this color because the probability of us choosing it is over TWICE the probability of the other colors combined!

<em>Now we need to refocus on what the question is asking, "What is the expected profit or loss if you play this game?" </em>

Well we now know that we are expected to pick a black marble, which is worth nothing according to the info they gave us.

Thus, we can make a conclusion that since we earn nothing, and we pay $1 to play the game, we will lose $1.

<em>Hope I helped!!!! :)</em>

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