What does the slope of each line represent

A train leaves Boston at noon going to NYC at a speed of 60 mph. Two hours later, an express train leaves NYC going to Boston at

lana66690 [7]

Train A: Speed of 60 mph. (1 mile per minute)

Train B: Speed of 90 mph. (1.5 miles per minute)

after 2 hours: (2:00)

Train A has gone 120 miles. (half-way mark)

Train B has gone 0 miles.

Hour 2:48: (2:48)

Train A has gone 168 miles.

Train B has gone 72 miles.

72 ----><---------------168

At 2:48 P.M the two will meet. 72+168=240

I hope this helps! :)

4 0

3 years ago

Someone please help me!!! I need it ASAP!

Anvisha [2.4K]

The last one is the correct answer!! nothing that is dilated can be congruent to another triangle.

4 0

3 years ago

About 16 % of the population of a large country is allergic to pollen. If two people are randomly selected, what is the probabil

Vinvika [58]

Answer:

(a) 0.0256

(b) 0.2944

Step-by-step explanation:

For solving this exercise we can apply the binomial distribution. The equation that give as the probability is:

$P(x,n,p)=(nCx)*p^{x} *(1-p)^{n-x}$

Where n is the number of identical events, p is the probability that the event has a success and x is the number of success in the n identical events.

Additionally, nCx is calculated as:

$nCx=\frac{n!}{x!(n-x)!}$

So, in this case we have 2 identical events because we are going to select two people randomly and the probability p of success is the probability that the person is allergic to pollen and this probability is 16%.

Then, for the first case, x is 2 because their are asking for the probability that both are allergic to pollen. Replacing the values of x, n and p we get:

$P(2,2,0.16)=(2C2)*0.16^{2} *(1-0.16)^{2-2}$

P(2,2,0.16)=0.0256

For the second case, their are asking for the probability that at least one is allergic to pollen, that means that we need to sum the probability that both are allergic to pollen with the probability that just one is allergic to pollen.

Using the same equation to calculate P(1,2,0.16) we get:

$P(1,2,0.16)=(2C1)*0.16^{1} *(1-0.16)^{2-1}$

P(1,2,0.16)=0.2688

So, the probability that at least one person is allergic to pollen is 0.2944 and it is calculated as:

0.0256 + 0.2688 = 0.2944

7 0

3 years ago

Find the value of x in the isosceles triangle shown below

egoroff_w [7]

Answer:

x = 10

Step-by-step explanation:

if there 2 same triangle then they are right triangle

By using Pythagorean theorem for 1 of right triangle, we have

$\sqrt{74} ^{2}$ = $7^{2}$ + $(\frac{x}{2}) ^{2}$

74 = 49 + $\frac{x^{2}}{4}$

74 - 49 = $\frac{x^{2}}{4}$

25 = $\frac{x^{2}}{4}$

therefore, x = $\sqrt{25*4}$ = $\sqrt{100}$ = 10

6 0

2 years ago

Read 2 more answers

Write the equation of the line passing through the two points. Show that this line is perpendicular to the given line.

il63 [147K]

Write the equation of the line passing through the two points. Show that this line is perpendicular to the given line.

(4,1) and (6,-5) y=1/3x-7

(1,-6) and (3,-10) y=1/2x-5

Please help, we learned this today and I’m really confused. How do you do it?

5 0

4 years ago