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borishaifa [10]

1 year ago

11

A rectangular parking lot is 12 meters wide and 9 meters long. The dimensions of the rectangular base of the building next door

are 250% larger than the parking lot.
What are the dimensions of the building's base?

30 meters wide and 22.5 meters long.

300 meters wide and 225 meters long

3 meters wide and 2.25 meters long

6424 meters wide and 18 meters long

2 answers:

xenn [34]1 year ago

8 0

Answer:

I just fart my pants til tehy explde god so ez kid

Step-by-step explanation:

Lana71 [14]1 year ago

5 0

Uh I’m confused snndiskejxjsjsndnsna

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The width of a rectangle is the length minus 2 units. The area of the rectangle is 35 units. What is the width, in units, of the

Andrews [41]

Answer: width = 5 units

Step-by-step explanation:

Let L represent the length of the rectangle.

The width of a rectangle is the length minus 2 units. It means that the width of the rectangle is (L - 2) units.

The formula for determining the area of a rectangle is expressed as

Area = length × width

The area of the rectangle is 35 units. It means that

L(L - 2) = 35

L² - 2L = 35

L² - 2L - 35 = 0

L² + 5L - 7L - 35 = 0

L(L + 5) - 7(L + 5) = 0

L - 7 = 0 or L + 5 = 0

L = 7 or L = - 5

Since the length cannot be negative, then

L = 7 units

Width = 7 - 2 = 5 units

6 0

2 years ago

Bernita and Derek each plot a number on a number line. The numbers are unique but have the same absolute value. The sum of the a

Contact [7]

Answer:

Hence, the two numbers chosen or plotted by them are:

-75 and 75

Step-by-step explanation:

It is given that Bernita and Derek each plot a number on a number line with the properties:

The two numbers they have plotted are unique or different.

Also there absolute value is same.

The sum of the absolute values of the numbers is 150.

<em>We know that</em><em> Absolute value</em><em> of a positive number is a number itself and absolute value of a negative number is it's inverse.</em>

Hence, the two numbers that satisfy the above three properties are:

-75 and 75.

Since,

|-75|=75

and |75|=75.

Hence, |-75|=|75|

Also |-75|+|75|=75+75=150

8 0

2 years ago

Read 2 more answers

Paula, a college student, earned $3,600 one summer. During the following semester, she spent $2,500 for tuition, $650 for rent,

Softa [21]

So to get the $ spent on misc items, just add up the other expenses and subtract it from 3600:

$2500+650+430=3580\\ \\ 3600-3580=\$ 20$

Now to put them into fractions.

Tuition: $\frac{2500}{3600}=\frac{25}{36}$

Rent: $\frac{650}{3600}=\frac{65}{360}$

Food: $\frac{430}{3600}=\frac{43}{360}$

Misc: $\frac{20}{3600}=\frac{1}{180}$

8 0

1 year ago

Read 2 more answers

In a new card game, you start with a well-shuffled full deck and draw 3 cards without replacement. If you draw 3 hearts, you win

lyudmila [28]

Answer:

Expected pay winning $50= $0.585

Expected pay winning $25= $2.36

Expected pay for anything else= $-4.35

Expected returns=3.59

Expected value for one play= $(-1.41)

Do not play this game because you will lose $1.41

Step-by-step explanation:

Probability P(3 hearts) = (13/52)×(12/51)×(11/50) = 0.013

Probability P(3black)= (26/52)×(24/51)×(23/50) = 0.118

Probability P(drawing anything else)= 1 - 0.013 - 0.118= 0.869

Expected pay($50)= 0.013$(50-5)= $ 0.585

Expected pay($25)= 0.118(25-5)$ = $2.36

Expected pay for anything else= 0.869(0-5)$ =$(-4.347)

Expected value of one play=$ (0.585 + 2.353 -4.347) = -$1.41

c) Do not play the game.

6 0

1 year ago

The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of regular gasoline is $2.94. T

Anit [1.1K]

Answer:

a) 25

b) 67

c) 97

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample. In this problem, $\sigma = 0.25$

(a) The desired margin of error is $0.10.

This is n when M = 0.1. So

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.1 = 1.96*\frac{0.25}{\sqrt{n}}$

$0.1\sqrt{n} = 1.96*0.25$

$\sqrt{n} = \frac{19.6*0.25}{0.1}$

$(\sqrt{n})^{2} = (\frac{19.6*0.25}{0.1})^{2}$

$n = 24.01$

Rounding up to the nearest whole number, 25.

(b) The desired margin of error is $0.06.

This is n when M = 0.06. So

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.06 = 1.96*\frac{0.25}{\sqrt{n}}$

$0.06\sqrt{n} = 1.96*0.25$

$\sqrt{n} = \frac{19.6*0.25}{0.06}$

$(\sqrt{n})^{2} = (\frac{19.6*0.25}{0.06})^{2}$

$n = 66.7$

Rounding up, 67

(c) The desired margin of error is $0.05.

This is n when M = 0.05. So

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.05 = 1.96*\frac{0.25}{\sqrt{n}}$

$0.05\sqrt{n} = 1.96*0.25$

$\sqrt{n} = \frac{19.6*0.25}{0.05}$

$(\sqrt{n})^{2} = (\frac{19.6*0.25}{0.05})^{2}$

$n = 96.04$

Rounding up, 97

8 0

1 year ago