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IgorLugansk [536]
3 years ago
14

A freight train averages 20 miles per hour traveling to its destination with full cars and 30 miles per hour on the return trip

with empty cars. What is the train's average speed for the entire trip
Mathematics
1 answer:
Klio2033 [76]3 years ago
5 0

Answer:

24mph

Step-by-step explanation:

Let's say the distance between the destination is 10 miles. The train will reach the destination in 30 min for the first round and 20 min the second. Now, we can say, the train took 50 min to go 20 miles. Which is also 24mph. (5min=2miles)

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The temperature outside is currently 10°F. It will fall at a constant rate of 3°F per hour. Which temperature will it be in 4 ho
Elenna [48]

Answer:

The temperature in 4 hours = -2 °F

Thus, option (D) is true.

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

y = mx+b

where m is the rate of change or slope and b is the y-intercept

  • Let 'y' be the temperature
  • Let 'x' be the time of the temperature in the hour

Given that the current temperature outside = 10°F.

Thus, the y-intercept = b = 10°F

Given that as the day went on, It will fall at a constant rate of 3°F per hour.

Thus, the slope or rate of change = -3°F

(The rate of change or slope is -3 because the temperature is reducing)

Thus, the rate of change = slope = m = -3

Thus, substituting m = -3 and b = 10 in the equation

y = mx+b

y = -3x + 10

Now, substituting x = 4 to determine the temperature after 4 hours.

y = -3(4) + 10

y = -12 + 12

y = -2 °F

Therefore, the temperature in 4 hours = -2 °F

Thus, option (D) is true.

5 0
3 years ago
Police records in the town of Saratoga show that 17 percent of the drivers stopped for speeding have invalid licenses. If 24 dri
Ymorist [56]

Answer:

Step-by-step explanation:

Given

17 % of the drivers stopped have invalid licenses

n=24 drivers are stopped

using Binomial distribution

^nC_r(p)^r(q)^{n-r}

here p=0.17

q=1-0.17=0.83

(a)none will have valid license i.e. r=0

P(r=0)^{24}C_0(0.17)^0(0.83)^{24}=(0.83)^{24}=0.0114

(b)Exactly one have invalid license i.e. r=1

P(r=1)=^{24}C_1(0.17)^1(0.83)^{23}=24\times 0.17\times (0.83)^{23}

=0.0561

(c)At least 2 will have invalid license i.e. r\geq 2

P(r\geq 2)=1-P(r=0)-P(r=1)

P(r\geq 2)=1-0.0114-0.0561

P(r\geq 2)=0.932

3 0
3 years ago
8) An extremely handsome math teacher is on African
viva [34]

Answer:

One less zebra

Step-by-step explanation:

T        z        l

0       200   220

1         160    175       (subtract 40 from 200  and 45 from 220)

2        120    130

3         80      85

4         40  =  40      <===== lion has zebra lunch before the river is reached

Zdistance = 200 - 40s

Ldistance = 220 - 45 s            where  's' is seconds

8 0
1 year ago
I will give brainliest to the person who answers all questions
stellarik [79]

Answer: Hope this helps!

Left to right - Q1 - Q5

1,500, 1,250, 0.25, 105, 25%

Step-by-step explanation:

Q1 - 15,000 * 0.02 * 5 = 1,500

Q2 - 25,000 * 0.01 * 5 = 1,250

Q3 - 20 - ((6 * 1) + (3 * 0.75) + (10 * 0.35) + (4 * 2)) = 0.25, 25 cents

Q4 - 30x + 1,000 = 4,200 (X = 107) Approximately 105 jobs

Q5 - 1,584 / (32 * 66) = 0.75 (75%) 100% - 75% = 25%

4 0
2 years ago
Read 2 more answers
What is the slope of the line (9,-6) and (-6- -9)?
Vlada [557]

Answer:

1/5

Step-by-step explanation:

Slope formula = (y2-y1)/(x2-x1)

((-6)- (-9))/ ((9)-(-6)

(-6 + 9)/ (9 + 6)

3/15

1/5

6 0
3 years ago
Read 2 more answers
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