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3 years ago

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A rectangle parking lot has a perimeter of 820ft. The area of the parking lot measures 42,000 ft^2. What is the width of the par

king lot?
A. 120 ft
B. 205 ft
C. 210 ft
D. 375 ft

1 answer:

Lostsunrise [7]3 years ago

5 0

210 ft since 210 x 2 is 420 and 820-420

is 400 and that divided by 2 is 200 and 200 x 210 is 42000

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The sum of two numbers is 90. Their difference is 18. Find<br> the numbers.

Naddik [55]

Answer:

36 & 54

Step-by-step explanation:

<em><u>By </u></em><em><u>Question</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

Sum of numbers = 90 .
Difference of numbers = 18 .

<em><u>Let </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

First Number be x .
Second number be y .

<em><u>According</u></em><em><u> to</u></em><em><u> </u></em><em><u>1</u></em><em><u>s</u></em><em><u>t</u></em><em><u> </u></em><em><u>condition</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

$: \implies$ x + y = 90

<u>According</u><u> to</u><u> </u><u>2</u><u>n</u><u>d</u><u> </u><u>condition</u><u> </u><u>:</u><u>-</u><u> </u>

$: \implies$ x - y = 18

<em><u>Adding</u></em><em><u> the</u></em><em><u> </u></em><em><u>equations</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

$: \implies$ 2x = 18 + 90

$: \implies$ 2x = 108

$: \implies$ x = 54

<em><u>Therefore</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

$: \implies$ First number = 54

$: \implies$ Second number = 36

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2 years ago

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Let f(x) = -4x + 7 and g(x) = 10x - 6 find f(g(x))

max2010maxim [7]

F(x) = -4x + 7
g(x) = 10x - 6

f(g(x)) = -4(10x - 6) + 7
f(g(x)) = -4(10x) + 4(6) + 7
f(g(x)) = -40x + 24 + 7
f(g(x)) = -40x + 31

7 0

3 years ago

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Consider the given density curve.

alisha [4.7K]

The Median of the density is -6.

An illustration of a numerical distribution with continuous results is a density curve. A density curve is, in other words, the graph of a continuous distribution. This implies that density curves can represent continuous quantities like time and weight rather than discrete events like rolling a die (which would be discrete). As seen by the bell-shaped "normal distribution," density curves either lie above or on a horizontal line (one of the most common density curves).

It is clearly visible from the uniform density curve given in the question that the median of the population density is -6.
Because the area to the left and right of the density curve is the same.

Hence, the Median of density is -6.

Learn more about density curves here-

brainly.com/question/18345488

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2 years ago

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Help me out with this question..this is a practice question not a graded one

galina1969 [7]

We shall begin by drawing up a table of the data set;

The Probability of selecting someone in the 22 - 29 age bracket is derived as

P[22 - 29] = No of req outcomes/No of possible outcomes

P[22 - 29] = 258/360

P[22 - 29] = 0.7166

The probability of selecting someone who refused to respond is derived as

P[Dont respond] = 42/360

P[Dont respond] = 0.1166

Note however that these are dependent events. That means the outcome of one event directly affects that of the other event. In this experiment, you are required to select one person from the entire sample size. Hence the probability of P[22 - 29] OR P[Dont respond] is derived by adding both probabilities and this results in;

The probability of getting someone who falls within the 22 - 29 age bracket or someone who refuses to repond is described as non mutually exclusive events. Mutually exclusive events are those that cannot possibly occur in one experiment. For example you cannot get a King of Hearts OR an Ace of Hearts in one draw from a standard deck of 52 cards. However when you can get either one or the other in one single experiment, then this is refered to as non mutualy exclusive events. So the probability of drawing from a standard deck of 52 cards, a King OR an Ace is an example of non mutually exclusive events because you can get either one or the other with just a single draw of a card. In this experiment, you need to select just one person and the probability of the person being either within the age of 22 - 29 OR being a non-respondent is a non mutually exclusive event. You can select someone randomly and he'll be within 22 - 29 years of age, and its more than likely that that person did not respond to your survey. Fact is,out of those who were 22 - 29, some responded, and some did not. So they all stand a chance of being selected, regardless of how slim their chances were.

Hence, the results should be

P[22 - 29 or Dont respond] = P[22 - 29] + P[Dont respond] - P[(22 - 29) * (Dont respond)]

P[22 - 29 or Dont respond] = ([0.7166] + [0.1166]) - [0.7166 * 0.1166]

P[22 - 29 or Dont respond] = (0.8332) - 0.08355

P[22 - 29 or dont respond] = 0.74965

The results show that the probability of choosing someone who is within the 22 - 29 age bracket or someone who did not respond is 0.74965 which as a percentage is 74.965% (approximately 75%)

3 0

1 year ago

PLEASE HELP I WILL MARK BRAINLIEST!<br> Question is in the image.

deff fn [24]

Answer:

8

Step-by-step explanation:

The interquartile range of a data set is the difference between the upper and lower quartiles.

First, put the values in order from least to greatest:

8, 9, 9, 9, 10, 11, 13, 15, 17, 18, 22

To find the upper quartile, we need to first find the median.

The median of this data set is 11, because it is in the middle of the values.

The upper quartile is the median of all the numbers to the left of 11.

The median of 8, 9, 9, 9, and 10 is 9, because it's in the middle.

So the upper quartile is 9.

The lower quartile is the same, but to the right of 11. The median of 13, 15, 17, 18, and 22 is 17 because it's in the middle.

Now, to find the interquartile range, find the difference between 18 and 9.

17 - 9 = 8

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3 years ago