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Zolol [24]
3 years ago
6

mridul jogs around a rectangular park of 100m by 80m at the rate of 9km per hour. how much time will he take in jogging 6 rounds

​
Mathematics
1 answer:
anyanavicka [17]3 years ago
3 0

Answer:

14minutes

Step-by-step explanation:

first you need to find the distance which you must find the perimeter P=100+80+100+80

=360 so you multiple it by 6 to get

=2160meters

so you need to convert the meters to kilometers

which is 1000m =1km

what about 2160m you cross multiply

to get 2.16km.

<em>so</em><em> </em><em>th</em><em>e</em><em> </em><em>di</em><em>stance</em><em> </em><em>repre</em><em>sent</em><em> </em><em>D</em><em>=</em><em>2</em><em>.</em><em>1</em><em>6</em><em> </em><em>km</em>

<em> </em><em> </em><em> </em><em>an</em><em>d</em><em> </em><em>spee</em><em>d</em><em> </em><em>represent</em><em> </em><em>S</em><em>=</em><em>9</em><em>k</em><em>m</em><em> </em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>now</em><em> </em><em>yo</em><em>u</em><em> </em><em>nee</em><em>d</em><em> </em><em>to</em><em> </em><em>find</em><em> </em><em>time</em><em> </em><em>represented</em><em> </em><em>by</em><em> </em><em>T</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em>T=D/S

T=2.16km/9km/h

so the km cancels each other

<u>you</u><u> </u><u>get</u><u> </u><u>0</u><u>.</u><u>2</u><u>4</u><u>h</u><u> </u><u> </u><u>for</u><u> </u><u>thi</u><u>s</u><u> </u><u>is</u><u>n't</u><u> </u><u>the</u><u> </u><u>solu</u><u>tion</u><u> </u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><em><u>you</u></em><em> </em><em>k</em><em>now</em><em> </em><em>th</em><em>at</em><em> </em><em>1</em><em> </em><em> </em><em>hour</em><em>=</em><em> </em><em>6</em><em>0</em><em> </em><em>minut</em><em>es</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>what</em><em> </em><em>about</em><em> </em><em>0</em><em>.</em><em>2</em><em>4</em><em>h</em><em> </em><em>you</em><em> </em><em>cr</em><em>oss</em><em> multiply</em>

<em>to</em><em> get</em><em> </em><em>1</em><em>4</em><em>.</em><em>4</em><em> </em><em>so</em><em> </em><em>you</em><em> </em><em>round</em><em> </em><em>it</em><em> </em><em>of</em><em>f</em><em> </em><em>t</em><em>o</em><em> get</em><em> </em><em>1</em><em>4</em><em> </em><em>minut</em><em>es</em>

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A hardware store receives a shipment of bolts that are supposed to be 12 cm long. The mean is indeed 12 cm, and the standard dev
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Answer: 0.9104

Step-by-step explanation:

Given : A hardware store receives a shipment of bolts that are supposed to be 12 cm long.

Mean : \mu=12\text { cm}

Standard deviation : \sigma= 0.2\text{ cm}

Sample size : n=10

Since, they will declare the shipment defective and return it to the manufacturer if the average length of the 100 bolts is less than 11.97 cm or greater than 12.04 cm.

So for the shipment to be satisfactory, the length of the bolts must be between 11.97 cm and 12.04 cm.

We assume that the length of the bolts are normally distributed.

Let X be the random variable that represents the length of randomly picked bolt .

For Z score : z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

For x = 11.97

z=\dfrac{11.97-12}{\dfrac{0.2}{\sqrt{100}}}=-1.5

For x = 12.04

z=\dfrac{12.04-12}{\dfrac{0.2}{\sqrt{100}}}=2

By using the standard normal distribution table ,  the probability that the shipment is found satisfactory will be :-

P(511.97

Hence,  the probability that the shipment is found satisfactory=0.9104

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What is the slope of the line passing through the points (2, 5) and (0, −4)?
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Amanda uses 1/3 of a cup of milk each time she makes a batch of pancakes. How manybbatches can she make if she only has 11/22 of
kow [346]

Answer:

<u>Amanda can make 1.5 or 3/2 of batches of pancakes with 11/22 of a cup of milk.</u>

Step-by-step explanation:

1. Let's review the information given to us for answering the question correctly:

Amount of milk Amanda use for a batch of pancakes = 1/3 cup

2. How many batches can she make if she only has 11/22 of a cup of milk left?

Let's simplify 11/22, dividing by 11 the numerator and the denominator,

11/22 = 1/2

Now, using the Rule of Three Simple, we can calculate the answer to this question, this way:

Number of batches = (1/2 * 1)/1/3

Number of batches = 1/2 / 1/3

Number of batches = 1/2 * 3/1 (Taking the reciprocal)

Number of batches = 3/2 = 1.5

<u>Amanda can make 1.5 or 3/2 of batches of pancakes with 11/22 of a cup of milk.</u>

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