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IceJOKER [234]
2 years ago
13

(a)The perimeter of a rectangular parking lot is 362m.

Mathematics
1 answer:
Anna007 [38]2 years ago
4 0

The width of the parking lot is 84 meters and the length of the pool is 82 meters

<h3>The width of the parking lot</h3>

The given parameters are:

Perimeter = 362 m

Length = 97 m

The width (w) is calculated as:

p =2 * (l +  w)

So, we have

2 * (97 + w) = 362

Divide by 2

(97 + w) = 181

Subtract 97

w = 84

Hence, the width of the parking lot is 84 meters

<h3>The length of the pool</h3>

The given parameters are:

Area = 4756 m^2

Width = 58 m

The length (l) is calculated as:

A = lw

So, we have

l * 58 = 4756

Divide by 58

l = 82

Hence, the length of the pool is 82 meters

Read more about perimeter and area at:

brainly.com/question/19819849

#SPJ1

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QUESTION 1
podryga [215]

Answer: The team won 47 games.

Step-by-step explanation: The total games played was 84, and that means all games added together, but victories and losses. If the games they lost is called X, and the team won 10 more games than it lost, then it means the games they won is X + 10.

To find the value of wins and losses, we can now express both properly as;

X + (X +10) = 84

2X + 10 = 84

Subtract 10 from both sides of the equation

2X = 74

Divide both sides of the equation by 2

X = 37.

If the number of games won is X + 10, then games won is derived as

Wins = X + 10

Wins = 37 + 10

Wins = 47

The team won 47 games

3 0
3 years ago
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What is the domain of f(x)= 3x/x-1
Tanzania [10]
The answer is all real numbers

domain is easy like that

5 0
3 years ago
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Choose the correct simplification of the following:<br> (2x^2 + x - 1) - (x^2 + 3x – 5)
yKpoI14uk [10]

Answer:

x^2 - 2x + 4

Step-by-step explanation:

6 0
3 years ago
Consider a normal distribution curve where the middle 85 % of the area under the curve lies above the interval ( 8 , 14 ). Use t
NeTakaya

Answer:

\mu = 11

\sigma = 2.08

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Middle 85%.

Values of X when Z has a pvalue of 0.5 - 0.85/2 = 0.075 to 0.5 + 0.85/2 = 0.925

Above the interval (8,14)

This means that when Z has a pvalue of 0.075, X = 8. So when Z = -1.44, X = 8. So

Z = \frac{X - \mu}{\sigma}

-1.44 = \frac{8 - \mu}{\sigma}

8 - \mu = -1.44\sigma

\mu = 8 + 1.44\sigma

Also, when X = 14, Z has a pvalue of 0.925, so when X = 8, Z = 1.44

Z = \frac{X - \mu}{\sigma}

1.44 = \frac{14 - \mu}{\sigma}

14 - \mu = 1.44\sigma

1.44\sigma = 14 - \mu

Replacing in the first equation

\mu = 8 + 1.44\sigma

\mu = 8 + 14 - \mu

2\mu = 22

\mu = \frac{22}{2}

\mu = 11

Standard deviation:

1.44\sigma = 14 - \mu

1.44\sigma = 14 - 11

\sigma = \frac{3}{1.44}

\sigma = 2.08

7 0
3 years ago
Express x in terms of y! Find the value of x when y =5<br>2(x - 3)/y =5​
m_a_m_a [10]

Hey there!

2(x - 3) / y = 5

2(x - 3) / 5 = 5

2(x) + 2(-3) / 5 = 5

(2x - 6) 5 = 5

MULTPLY 5 to BOTH SIDES

(2x - 6)/5 * 5 = 5 * 5

SIMPLIFY IT!
2x - 6 = 5 * 5

2x - 6 = 25

ADD 6 to BOTH SIDES

2x - 6 + 6 = 25 + 6

SIMPLIFY IT!
2x = 25 + 6

2x = 31

DIVIDE 2 to BOTH SIDES

2x/2 = 31/2

SIMPLIFY IT!

x = 31/2

x = 15 1/2


Therefore, the answer should be:

x = 15 1/2


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

5 0
2 years ago
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