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Tanzania [10]
3 years ago
7

Let f(x) = (x ^ 2 - 5x + 4)/(x - 1) and g(x) = 2 ^ (x - 3). For which value of x does f(g(x)) have a discontinuity ?

Mathematics
1 answer:
polet [3.4K]3 years ago
6 0

Answer:

There is a discontinuity at x=1

Step-by-step explanation:

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The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 5 m
bezimeni [28]

Answer: 0.75

Step-by-step explanation:

Given : Interval for uniform distribution : [0 minute, 5 minutes]

The probability density function will be :-

f(x)=\dfrac{1}{5-0}=\dfrac{1}{5}=0.2\ \ ,\ 0

The probability that a given class period runs between 50.75 and 51.25 minutes is given by :-

P(x>1.25)=\int^{5}_{1.25}f(x)\ dx\\\\=(0.2)[x]^{5}_{1.25}\\\\=(0.2)(5-1.25)=0.75

Hence,  the probability that a randomly selected passenger has a waiting time greater than 1.25 minutes = 0.75

7 0
3 years ago
A phone company needs to know how high a cell tower is, so it decides to use a 2 m pole and shadows cast by the sun, as shown in
Jet001 [13]
Im not exactly sure but i think its about 12 inches

6 0
3 years ago
What is the sixth term in the geometric sequence described by this explicit formula? an=-5*(4)^(n-1)
Dmitrij [34]

Answer:

-5120

Step-by-step explanation:

Replace the n in the formula by 6.

a6 = -5(4)^(6-1)

= -5 * 4^5

= -5120

6 0
3 years ago
Read 2 more answers
Can someone help me with this ????
fenix001 [56]

Answer:

A.

(\frac{3}{3+5})(2 - (-14))+ (-14)

Step-by-step explanation:

Given

Ratio = 3:5

Q = -14

S = 2

Required

Which solution uses (\frac{m}{m+n})(x_2 - x_1)+ x_1

From the given parameters;

m:n = 2:5

m = 2\ and\ n = 5

x_1 = -14\ and\ x_2 = 2

Substitute the above values in (\frac{m}{m+n})(x_2 - x_1)+ x_1

This gives:

(\frac{m}{m+n})(x_2 - x_1)+ x_1

(\frac{3}{3+5})(2 - (-14))+ (-14)

<em>From the list of given options, only option A uses the given form of the formula...</em>

6 0
3 years ago
Given that
alukav5142 [94]

Answer:

15:12:16

Step-by-step explanation:

x:y= 5:4

y:z= 3:2

5×3= 4×3

3×4= 2×8

15= 12

12= 16

Therefore x:y:z can be shown as follows

= 15:12:16

7 0
3 years ago
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