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sergejj [24]
3 years ago
9

The graph shows the distances traveled by two toy trains.

Mathematics
2 answers:
liraira [26]3 years ago
4 0

From the graph ...

-- Train-1  travels more than  15  feet in  3  seconds.

-- Train-2  travels less than  15  feet in  3  seconds.

So, if  Train-3  travels exactly  15  feet in  3  seconds,
then  Train-3  is faster than  #2  but slower than  #1 .


Ivenika [448]3 years ago
3 0

Answer:D. The third train is faster than Train 2 but slower than Train 1.

Step-by-step explanation:

Since, If the speed of one object is greater than that of other object then we can say that one object is faster than other object.

Here, the speed of third train = 15/3=5 feet/sec ( because speed = distance/time)

And, according to the given graph the speed of train 1= 30/5=6 feet/sec ( by taking the approximate value of x and y by the graph)

While, the speed of train 2= 20/5= 4 feet/sec

Thus, we can say that, Speed of train 1>Speed of train 3> Speed of train 2

Therefore, Only Option D is correct.


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enyata [817]

Answer:

m = -1/3

Step-by-step explanation:

The slope of the line can be calculated using the slope formula.

m = \frac{y_2-y_1}{x_2-x_1} = \frac{9--3}{4-0} = \frac{12}{4} = 3

Since this is the line with points AB, the slope of any line perpendicular to it will be -1/3. All perpendicular lines cross at a 90 degree angle and as such their slopes are the negative reciprocals of each other. This means 3 becomes -1/3.

4 0
2 years ago
Jacob’s daily tips this work week were $99, $78, $58, $91, $90, and $68. Is Jacob correct in thinking that the mean best represe
Neko [114]

Answer:

D. No, Jacob is not correct. The median amount he makes is $84.00 in a day.

Step-by-step explanation:

In this case, the mean is not the best measure of this data.

We can see that there is one value lower than the rest, $58.  This brings the mean down.

With the value of $58, the mean is $80.70.  If we were to take this value out, the mean would be $85.20, which is higher.

Since the mean is brought down by this value, we should use the median.  The median of this data set is $84.

6 0
3 years ago
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Use the remainder theorem to find the remainder for (x ^5 + 32) divided by (x+2) and state whether or not the binomial is a fact
marta [7]

x+2 is a factor of x^5+32 because (by the remainder theorem) the remainder upon dividing x^5+32 by x+2 is (-2)^5+32=0.

There's also the sum of fifth powers formula,

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2 years ago
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Find the distance between each pair of points. Round to the nearest tenth, if necessary.
Naya [18.7K]

Answer:

Step-by-step explanation:

Plug into distance formula:

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sqrt( ((x2 - x1)^2) + ((y2 - y1)^2))

sqrt( ((3 - 5)^2) + ((-4 + 2)^2))

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4 0
1 year ago
7.
Serjik [45]

Answer:

Probability that a customer pays the bill by mail, given that the customer is female is 0.20.

Step-by-step explanation:

The complete question is:

                               Online                             By Mail            Total

             Male             12                                      8                   20

           Female           24                                     6                   30      

             Total             36                                     14                  50    

A utility company asked 50 of its customers whether they pay their bills online or by mail. What is the probability that a customer pays the bill by mail, given that the customer is female.

Probability that a customer pays the bill by mail, given that the customer is female is given by = P(Pays bill by mail / Customer is female)

\frac{6}{50}P(Pays bill by mail/Customer is female) = \frac{P(\text{Pays bill by Mail}\bigcap \text{ Customer is Female})}{P(\text{ Customer is Female})}

Now, Probability that customer is female =  \frac{30}{50}

Also, Probability that customer pays bill by mail and is female =   \frac{6}{50}

So, Required probability =  \frac{\frac{6}{50} }{\frac{30}{50} }

                                         =  \frac{6}{50}\times \frac{50}{30}

                                         =  \frac{1}{5}   =  0.20

Hence, probability that a customer pays the bill by mail, given that the customer is female is 0.20.

6 0
2 years ago
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