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3 years ago

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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The slope of any line perpendicular to , where A(0, -3) and B(4, 9) are two points on the line, is m =

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.

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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

Read 2 more answers

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,

$a^5+b^5=(a+b)(a^4-a^3b+a^2b^2-ab^3+b^4)$

3 0

2 years ago

Read 2 more answers

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:

Points: (5, -2), (3, -4)

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

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

sqrt( 4 + 4)

sqrt8 ≈ 2.8 OR

sqrt8 = 2√2

4 0

1 year ago

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