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kykrilka [37]
3 years ago
7

Kim was walking down a rocky path. For 4 minutes, the elevation dropped uniformly. Altogether it dropped 8 feet. What was the ch

ange in elevation per minute for the 4 minutes?
Mathematics
1 answer:
Natasha2012 [34]3 years ago
7 0

Answer:

Change in elevation per minute = 2ft/min

Step-by-step explanation:

Change in elevation per minute = elevation ÷ time

Change in elevation per minute = 8÷4 = 2ft/min

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The manager of a gas station has observed that the times required by drivers to fill their car's tank and pay are quite variable
Nat2105 [25]

Answer:

The probability that a car driver can complete the transaction in less than 5 minutes is 0.4647.

Step-by-step explanation:

Let <em>X</em> = times required by drivers to fill their car's tank and pay.

The average time required by drivers is, <em>β</em> = 8 minutes.

The random variable <em>X</em> is Exponentially distributed with parameter, \lambda=\frac{1}{\beta}=\frac{1}{8}=0.125.

The probability distribution function of exponential distribution is:

f_{X}(x)=\lambda e^{-\lambda x};\ x>0

Compute the probability that a car driver can complete the transaction in less than 5 minutes as follows:

P(X

Thus, the probability that a car driver can complete the transaction in less than 5 minutes is 0.4647.

6 0
4 years ago
Read 2 more answers
In ΔSTU, s = 6.1 cm, t = 3.2 cm and u=7.4 cm. Find the measure of ∠S to the nearest 10th of a degree.
GuDViN [60]

Answer:

m∠S = 54.1°

Step-by-step explanation:

Use the law of cosines

s^{2}  = t^{2} + u^{2}  - 2utcos S\\6.1^{2} = 3.2^{2}  + 7.4^{2}  - 2(3.2)(7.4) cos S

37.21 = 10.24 + 54.76 - 47.36 cos S

-27.79 = -47.36 cos S

.586782 = cos S

arccos .586782 = S

m∠S = 54.1°

8 0
3 years ago
Read 2 more answers
. If mZJ= (7x + 13)", mZK = (83 - 2x), and
OLga [1]

Answer:

  • m∠J = 76°
  • m∠K = 65°

Step-by-step explanation:

The sum of angle measures is ...

  (7x +13)° +(83 -2x)° = 141°

  5x +96 = 141 . . . . . collect terms, divide by °

  5x = 45 . . . . . . . . . subtract 96

  x = 9 . . . . . . . . . . . divide by 5

  7x +13 = 7·9 +13 = 76 . . . . . find m∠J

  m∠J = 76°

  m∠K = 141° -76°

  m∠K = 65°

8 0
3 years ago
What is the area of the figure? <br><br>A. 617.5 m^2<br>B. 824 m^2<br>C. 759 m^2<br>713.5 m^2
Flura [38]
Hey !!

Check the attachment.

Hence, On proper calculations ,
We get our answer as D) 713.5 m^2


Hope it helps you :)

8 0
4 years ago
Explain how to determine the zeros of f(x)=(x+3)(x-1)(x-8)
spin [16.1K]

Answer:

x=-3,  x=1,  x=8

Step-by-step explanation:

When you have to find the zero of an equation like (x+3) all you have to do is solve for x.

x+3=0           equal the equation to zero

x+3-3=0-3    cancel out 3

x=-3              answer


If you have to find the zero of an equation like f(x)=-2x^2 - 5x + 7 then you would have to factor the equation.

7*-2=-14   multiply

-7 & 2   find the two numbers that when multiplied =14 and when added = -5

(2x^2 + 2)  (-7x + 7)  replace -5 with -7 & 2

-2x (x - 1)   -7 (x - 1)   factor

(x - 1)   (-2x - 7)    rewrite

1st: x - 1 = 0

          x = 1 : Answer

2nd: -2x - 7= 0

        -2x - 7 + 7 = 0 + 7

        -2x = 7

        -2x / -2 = 7 / -2

          x = 7 / -2 : Answer





7 0
3 years ago
Read 2 more answers
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