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zloy xaker [14]
3 years ago
7

Find three consecutive numbers, if the sum of the first and the second one is 23 more than the third one.

Mathematics
1 answer:
DiKsa [7]3 years ago
7 0

Answer:

24, 25, and 26

Step-by-step explanation:

x+x+1=23+x+2

x+1=25

x=24

the numbers are 24, 25, and 26

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Solve the inequality -5(3x+4)<6-3x
bogdanovich [222]

-5(3x+4) -26\ \ \ \ |:12\\\\x > -\dfrac{26}{12}\\\\x > -\dfrac{26:2}{12:2}\\\\x > -\dfrac{13}{6}\to x\in\left(-\dfrac{13}{6},\ \infty\right)

7 0
3 years ago
The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.
Ulleksa [173]

Answer:

0.52763 is the probability that the time between the next two calls will be 54 seconds or​ less.

0.19285 is the probability that the time between the next two calls will be greater than 118.5 ​seconds.

Step-by-step explanation:

We are given the following information in the question:

The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.2 minutes.

The distribution function can be written as:

f(x) = \lambda e^{-\lambda x}\\\text{where lambda is the parameter}\\\\\text{Mean} = \mu = \displaystyle\frac{1}{\lambda}\\\\\Rightarrow 1.2 = \frac{1}{\lambda}\\\\\lambda = 0.84 \\f(x) = 0.84 e^{0.84 x}

The probability for exponential distribution is given as:

P( x \leq a) = 1 - e^{\frac{-a}{\mu}}\\\\P(a \leq x \leq b) = e^{\frac{-a}{\mu} -\frac{-b}{\mu}}

a) P( time between the next two calls will be 54 seconds or​ less)

P( x \leq 0.9)\\= 1 - e^{\frac{\frac{-54}{60}}{1.2}} = 0.52763

0.52763 is the probability that the time between the next two calls will be 54 seconds or​ less.

b) P(time between the next two calls will be greater than 118.5 ​seconds)

p( x > \frac{118.5}{60}) = P(x > 1.975)\\\\ = 1 - P(x \leq 1.975) \\\\= 1 -1+ e^{\frac{-1.975}{1.2}}\\\\= 0.19285

0.19285 is the probability that the time between the next two calls will be greater than 118.5 ​seconds.

6 0
3 years ago
Pls help thanks ! it’s math !
likoan [24]

Answer:

a. (8 × 2) = (2 + 2 + 2 + 2 + 2 + 2 + 2 + 2) = 16

b. (8 × 2) = (2 × 8) = (8 + 8 ) = 16 {Using the commutative property}

c. It is easier to calculate (8 + 8 ) than (2 + 2 + 2 + 2 + 2 + 2 + 2 + 2).

Step-by-step explanation:

Multiplication operation is equivalent to the repeated addition operation.

For example (3 × 4) can be treated as 3 groups of 4 or 4 + 4 + 4 then use the addition facts to learn the multiplication facts.

a. Now, (8 × 2) can be treated as 8 groups of 2 or 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 then using the addition facts we get (8 × 2) = (2 + 2 + 2 + 2 + 2 + 2 + 2 + 2) = 16

b. If we apply the commutative property of multiplication then (8 × 2) = (2 × 8) and we can assume it as 2 groups of 8 or (8 + 8) i.e. 16 which makes it easier to get the multiplication process by addition operation.

c. It is clear that (8 + 8) is much more easier to calculate than (2 + 2 + 2 + 2 + 2 + 2 + 2 + 2) by addition operation. (Answer)

7 0
3 years ago
Read 2 more answers
Find the product: (1.2) · (0.11)
Lina20 [59]

Answer:

The answer is 0.132

Step-by-step explanation:

12/10*11/100

132/1000

=0.132

7 0
3 years ago
Read 2 more answers
Write an equation of a line in point slope form that has a slope of -3 and passes through the point (3, -4).
Nesterboy [21]

1) Point-slope form

(y-y1)=m(x-x1)

m= - 3,

point (3,-4), so x1 = 3, y1 = - 4.

(y+4)= -3(x- 3)

2)Point-slope form

(y-y1)=m(x-x1)

m= - 3/4,

point (4,5), so x1 = 4, y1 = 5.

(y-5)= - 3/4(x-4)

6 0
4 years ago
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