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melomori [17]
3 years ago
14

Jack biked to his friend house at a speed of 10 mph. When he was returning home it was raining. So he biked much slower - at 6 m

ph. What was Jack's average speed on the way there and back?
Mathematics
1 answer:
AVprozaik [17]3 years ago
7 0

Answer:

  7.5

Step-by-step explanation:

The relation between time, speed, and distance is ...

  time = distance/speed

If distance is "1 round trip", then the time going is ...

  going = 0.5/(10 mi/h) . . . . for 1/2 round trip

and the time coming is ...

  coming = 0.5/(6 mi/h)

Then the average speed for the full round trip is ...

  speed = distance/time

  average speed = 1/(going + coming) = 1/(0.5/10 +0.5/6) mi/h

  = 1/((3+5)/60) mi/h

  = 60/8 mi/h = 7.5 mi/h

Jack's average speed for the round trip was 7.5 mph.

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Enter the indicated element.
Ymorist [56]

a_{1,3} = 9

Step-by-step explanation:

The elements of matrices are represented in the form

a_{r,c}

Here r is the row number and c is the column number.

Given matrix is:

A = \left[\begin{array}{ccc}3&6&9\\2&4&8\end{array}\right]

The elements of matrix will be represented by a_{r,c}

We have to find a_{1,3}

Which means that the first row and third column.

The first row is: 3   6    9 and the element in third column is: 9

So,

a_{1,3} = 9

Keywords: Matrices, Elements

Learn more about matrices at:

  • brainly.com/question/10541435
  • brainly.com/question/10666510

#LearnwithBrainly

6 0
3 years ago
Eight trials are simulated. The results are shown in the table.
bezimeni [28]

Answer:

2.897

Step-by-step explanation:

Let us find the mean and variance for the sample first.

105 104 110 112

114 106 108 109

Mean = sum/8 = 108.5

Variance = 12

Std dev = sq rt of variance = 3.464

Std error = std dev/ sq rt n

since n =8, we get std error = 1.225

Since sample size is small, df =8-1 =7

For 95% confidence intervals, t critical value for two tailed=2.365

Margin of error = std error x t critical = 1.225(2.365)

=2.897


3 0
3 years ago
How can the Associative, Commutative, and Distributive Properties be applied when performing operations on complex numbers and p
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By using Associative, Commutative, and Distributive Properties in performing operations on complex numbers and polynomials, you would be able to simplify correctly and simply. To combine complex numbers, you must distribute any coefficients in front of the parentheses. Then identify and<span>combine like terms by combining the real number parts and the imaginary number parts separately.</span>
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What is the value of 8 in the number 8000
Free_Kalibri [48]

Answer: 8000

Step-by-step explanation:

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3 years ago
A greenhouse is offering a sale on tulip bulbs because they have inadvertently mixed pink bulbs with red bulbs. If​ 40% of the b
Zolol [24]
<h3>Answer:   0.8704</h3>

Explanation:

40% of the bulbs are pink, 60% are red

the probability of picking pink is 0.40 and the probability of not picking pink is 0.60

The chances of getting 4 non-pink in a row is 0.6*0.6*0.6*0.6 = 0.6^4 = 0.1296

The complement to this event is getting at least one pink bulb, which has a chance of 1-0.1296 = 0.8704

0.8704 converts to 87.04%

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2 years ago
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