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3 years ago

5

A train leaves Boston at 10:20 AM and arrives in Stamford at 1:00 PM. Find the distance between the stations if the average spee

d of the train is 60 mph.

1 answer:

mina [271]3 years ago

4 0

60 mph = 1 mile per minute
10:20 AM -> 1:00 PM = 2 hours and 40 minutes
2 hours 40 minutes = 160 minutes
Boston -> Stamford = 160 miles

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Help 2,4+0,8=.......-0,06=........+1,21=.......+1,78=....-5,14=.

horrorfan [7]

Lets write this out:-

2.4 + 0.8 =______ - 0.06 = _____+ 1.21=_____+1.78=_____- 5.14=___

So to solve d blanks we will do d following:-

2.4 + 0.8 = 3.2

Now lets write this out AGAIN.

2.4 + 0.8 = 3.2 - 0.06 = _____+ 1.21=_____+1.78=_____- 5.14=___

Now lets solve again:-

3.2 - 0.06 = 3.14

Now lets write this out AGAIN.

2.4 + 0.8 = 3.2 - 0.06 = 3.14 + 1.21=_____+1.78=_____- 5.14=___

Now lets solve again:-

3.14 + 1.21= 4.25

Now lets write this out AGAIN.

2.4 + 0.8 = 3.2 - 0.06 = 3.14 + 1.21 = 4.25 +1.78=_____- 5.14=___

Now lets solve again:-

4.25 +1.78= 6.03

Now lets write this out AGAIN.

2.4 + 0.8 = 3.2 - 0.06 = 3.14 + 1.21 = 4.25 +1.78= 6.03 - 5.14=___

Now lets solve again:-

6.03 - 5.14 = 0.89

Now lets write this out AGAIN.

2.4 + 0.8 = 3.2 - 0.06 = 3.14 + 1.21 = 4.25 +1.78= 6.03 - 5.14= 0.89

So, 2.4 + 0.8 = 3.2 - 0.06 = 3.14 + 1.21 = 4.25 +1.78= 6.03 - 5.14= 0.89

Hope I helped ya!! xD

3 0

3 years ago

A new security system needs to be evaluated in the airport. The probability of a person being a security hazard is 4%. At the ch

ivolga24 [154]

Answer:

(a) 0.9412

(b) 0.9996 ≈ 1

Step-by-step explanation:

Denote the events a follows:

$P$ = a person passes the security system

$H$ = a person is a security hazard

Given:

$P (H) = 0.04,\ P(P^{c}|H^{c})=0.02\ and\ P(P|H)=0.01$

Then,

$P(H^{c})=1-P(H)=1-0.04=0.96\\P(P|H^{c})=1-P(P|H)=1-0.02=0.98\\$

(a)

Compute the probability that a person passes the security system using the total probability rule as follows:

The total probability rule states that: $P(A)=P(A|B)P(B)+P(A|B^{c})P(B^{c})$

The value of P (P) is:

$P(P)=P(P|H)P(H)+P(P|H^{c})P(H^{c})\\=(0.01\times0.04)+(0.98\times0.96)\\=0.9412$

Thus, the probability that a person passes the security system is 0.9412.

(b)

Compute the probability that a person who passes through the system is without any security problems as follows:

$P(H^{c}|P)=\frac{P(P|H^{c})P(H^{c})}{P(P)} \\=\frac{0.98\times0.96}{0.9412} \\=0.9996\\\approx1$

Thus, the probability that a person who passes through the system is without any security problems is approximately 1.

7 0

3 years ago

The speed of light is about 1.86 x 10^5 miles per second. About how many far does light travel in 68 seconds?

Mkey [24]

Answer:

12,667,203 miles

Step-by-step explanation:

3 0

3 years ago

Look for a pattern in the first three diamonds below. For the fourth diamond, explain how to find the missing numbers (?) if you

murzikaleks [220]

The general pattern that these diamonds follow is that the top number is the result of multiplying the numbers in the middle; while the bottom number results from adding these numbers. This pattern can be used to find the numbers in the fourth diamond. Moreover, the numbers that complete the diamonds are A (15,8), B (2,-3), C (4,2), D(4,8.5), E (-3.-4)

<h3>What is the general pattern in the diamonds?</h3>

Based on observation, you can determine in these diamonds the top number is obtained by multiplying the numbers in the middle, while the bottom number is obtained by adding these numbers.

<h3>What numbers complete the diamonds?</h3>

Diamond A

Top number: 15 (3x5)

Bottom number: 8 (3+5)

Diamond B

Top number: 2 (-2x-1)

Bottom number: -3(-2+-1)

Diamond C

4, 2 because 4x2 = 8 and 4+2 = 6

Diamond D

Top number: 4( 8x0.5)

Bottom number: 8.5(8+0.5)

Diamond E

-3,-4 because -3x-4= 12, and -3+-4= -7

Learn more about patterns in: brainly.com/question/23136125

#SPJ1

3 0

1 year ago

How many variable terms are in the expression 3x3y + 5x2 + y + 9?

Ratling [72]

Three variable terms appear in this expression. Although 9xy has two variables, they combine to make one term.

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Like this answer? PM me for more awesome answers! - Boodle

7 0

3 years ago