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eduard
2 years ago
5

What was the average speed if I drove 60 miles per hour to get to my grandmas house and 30 miles per hour to get home. Represent

this in two different ways and explain your reasoning.
Mathematics
1 answer:
siniylev [52]2 years ago
8 0

Answer:

40 mph.

Step-by-step explanation:

Suppose grandma's house is  30 miles away (any distance would do but 30 is convenient).

Speed = distance / time

time = distance / speed

Time to get there =  30/60 = 1/2 hour.

Time to get back = 30/30 = 1 hour

Average speed  = total distance/ total time

=  (30 + 30) / ( 1 + 1/2)

= 60 / 1.5

=  40 miles per hour.

You cannot take the average of the speeds directly

(60+ 30)/2  = 45 is not correct as you cannot average ratios ( speed is a ratio).

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11. The table shows the lengths of fish caught by three,
blsea [12.9K]

Numbers can be ordered in ascending or descending order.

The length of fishes from greatest to least is

  • Emily = 12 \frac 34.
  • Emma = 12.7.
  • Anne = 12 \frac 35

Given

Emma = 12.7

Anne = 12 \frac 35

Emily = 12 \frac 34

Convert all fractions to decimals

Emma = 12.7

Anne = 12.6

Emily = 12.75

Arrange from greatest to least

Emily = 12.75

Emma = 12.7

Anne = 12.6

<em>Hence, the length of fishes from greatest to least is </em>

Emily = 12 \frac 34     Emma = 12.7       Anne = 12 \frac 35

Read more about order of numbers at:

brainly.com/question/3729546

6 0
2 years ago
Pls help due ASAP <br> Show workings please!!!
Vlad [161]

Answer:

AB=8

Step-by-step explanation:

First, you get figure out x. Since both sides are equal, use the equation x+3=2x-2, then subtract x from both sides, 3=x-2, and then add 2 to both sides, x=5. Then use one of the equations to get the length of the side, I used x+3=8, which is your answer.

(hope this helps :P)

5 0
3 years ago
How does the speed of a runner vary over the course of a marathon (a distance of 42.195 km)? Consider determining both the time
Tom [10]

Answer:

The observed typical difference value of mode is 100 seconds approximately.

The proportion of runners ran the late distance more quickly than the early distance is approximately 1%

Step-by-step explanation:

Fundamentals

Consider that there are x favorable cases to an event E, out of a total of n cases. Then, the probability of that event is written as:

P(E)=  

Total number of cases /Number of favorable cases =  x/n

A histogram is constructed for continuous data, which is divided into classes called bins. The shape of the distribution can be determined from the histogram.

step 1

The provided histogram indicates time difference on xx -axis and frequency of runners on yy -axis. To determine the typical difference value, identify the peaks of the graph.

The histogram is skewed towards right side. The graph indicates that there are few outliers around 700 seconds. For a typical difference value, the value of mode is considered.

The graph indicates that the value of mode is 100 seconds approximately.

The observed typical difference value of mode is 100 seconds approximately.

Explanation

From the histogram, the typical difference value is obtained on the basis of guessing the value of mode which has been approximated to be around 100 seconds.

Step 2

From the histogram, it can be estimated that there are around 10 runners which has negative difference which means approxi8matley 10 runners ran the late distance more quickly than the early distance,

The approximate sample size can be calculated as:

Sample size=90+190+180+160+120+80+60+40+30+20

Thus, the proportion of runners is obtained as:

\begin{array}{c}\\p = \frac{{\left( \begin{array}{l}\\{\rm{Number of runners who has }}\\\\{\rm{negative time difference}}\\\end{array} \right)}}{{{\rm{Total sample size}}}}\\\\ = \frac{{10}}{{970}}\\\\ = 0.01\\\end{array}  

p=  <u> </u>Number of runners who has

<u>     negative time difference   </u>

      Total sample size

​  

=10/970

=0.001

The proportion of runners ran the late distance more quickly than the early distance is approximately 1%

EXPLANATION

The obtained proportion is 0.01. It indicates that there are approximately 1% of the runners who ran late distance more quickly than the early distance is very few.

​  

​  

3 0
3 years ago
What is the converse of the linear pairs theorem
guapka [62]
<span>If you know the Linear pair Theorem, the converse can be easily obtained by switching the condition and the conclusion. For example, If it is raining, then the outside is wet. Converse: If the outside is wet, then it is raining. (It is not always true.)</span>
7 0
3 years ago
What is the perimeter of a rectangle whose length is M cm and width is 2 cm​
Setler79 [48]

Answer:

2m plus 4

Step-by-step explanation:

mx2=2m

2x2=4

2m plus 4 = 2m plus 4

My plus button isnt working sorry

4 0
2 years ago
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