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leva [86]
3 years ago
14

Emily is mowing her lawn which is in the shape of a rectangle with a length of 10 feet and width of 12 feet. Emily completed mow

ing it in 3 hours. What is the unit rate at which Emily mowed her lawn?
Mathematics
2 answers:
docker41 [41]3 years ago
6 0
So what you do first is find the area of this lawn and you do 10 by 12 and multiply those and you get 120 feet so now what you do is divived 120 by 3 and you get 40 so that means she mowed 40 ft in each hour so that would be the unit rate.
Mekhanik [1.2K]3 years ago
3 0

Step by step explanation:

Given that,

The shape of the lawn is rectangular

Length of the lawn = 10 feet

Width of the lawn = 12 feet

Time to complete mowing = 3 hours

Rate = ?  

Step 1: find the area of the lawn

Area of rectangle is  

A = l * w

10* 12 = 120 Feet

Area / no of hours for the mowing to complete  

120/3 = 40

This meant that the rate at which Emily mowed her lawn is 40 ft per hour  

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A computer can be classified as either cutting dash edge or ancient. Suppose that 86​% of computers are classified as ancient. ​
Leno4ka [110]

Answer:

(a) The probability that both computers are ancient is 0.7396

(b) The probability that all seven computers are ancient is 0.3479

(c) The probability that at least one of seven randomly selected computers is cutting dash edge is 0.6520.

Because the probability is about 65% is it not unusual that at least one of seven randomly selected computers is cutting dash edge, it's more likely than not.

Step-by-step explanation:

We know that 86​% of computers are classified as ancient. This means, if one computer is chosen at random, there is an 86% chance that it will be classified as ancient.

P(ancient)=0.86

(a) To find the probability that two computers are chosen at random and both are ancient​ you must,

The probability that the first computer is ancient is P(ancient)=0.86 and the probability that the second computer is ancient is P(ancient)=0.86

These events are independent; the selection of one computer does not affect the selection of another computer.

When calculating the probability that multiple independent events will all occur, the probabilities are multiplied, this is known as the rule of product.

Let A be the event "the first computer is ancient" and B the event "the second computer is ancient".

P(A\:and \:B)=P(A)\cdot P(B)=0.86\cdot 0.86=0.86^2= 0.7396

(b) To find the probability that seven computers are chosen at random and all are ancient​ you must,

Following the same logic in part (a) we have

Let A be the event "the first computer is ancient",

B the event "the second computer is ancient",

C the event "the third computer is ancient",

D the event "the fourth computer is ancient",

E the event "the fifth computer is ancient",

F the event "the sixth computer is ancient", and

G the event "the seventh computer is ancient"

P(A\:and \:B\:and \:C\:and \:D\:and \:E\:and \:F\:and \:G)=\\P(A)\cdot P(B)\cdot P(C)\cdot P(D)\cdot P(E)\cdot P(F)\cdot P(G) =(0.86)^7=0.3479

(c) To find the probability that at least one of seven randomly selected computers is cutting dash edge​ you must

Use the concept of complement. The complement of an event is the subset of outcomes in the sample space that are not in the event.

Let C the event "the computer is cutting dash edge".

Let A the event "the seven computers are ancient".

P(C)=1-P(A)=1-0.3479=0.6520

Because the probability is about 65% is it not unusual that at least one of seven randomly selected computers is cutting dash edge, it's more likely than not.

5 0
3 years ago
Solve |y - 2|&lt;10<br><br> {y|-8 &lt; y &lt; 12}<br> {y|-12 &lt; y &lt; 8}<br> {y|-8 &lt; y &lt; 8}
lukranit [14]
The answer is -8 < y < 12
3 0
3 years ago
The basis for an effective evaluation of art is the<br> _____ analysis of the artwork.
horsena [70]

Answer: Visual

Step-by-step explanation:

Visually analyzing the art work is an effective way

4 0
3 years ago
A bakery sold a total of 400 cupcakes in a day, and 43% of them were vanilla flavored. how many of the cupcakes sold that day we
garik1379 [7]

The number of the cupcakes sold that day that were vanilla flavored is 172.

<h3>How do we calculate a number from a percentage?</h3>

The number of the cupcakes sold that day that were vanilla flavored can be calculated using the following formula:

Number of vanilla flavored cupcakes sold = Total number of cupcakes sold * Percentage that were vanilla flavored .............. (1)

Substituting the relevant values into equation (1), we have:

Number of vanilla flavored cupcakes sold = 400 * 43% = 172

Learn more about percentages here: brainly.com/question/14801224.

#SPJ1

7 0
2 years ago
Can you put this equation &gt; 3 in a number line.​
Marrrta [24]

Answer:

>3 means any number on the number line larger than 3, so the answer is yes

7 0
3 years ago
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