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3 years ago

Which expression has the same sum as the one below?

Mathematics

2 answers:

BartSMP [9]3 years ago

7 0

Answer:

6+(-15)

Step-by-step explanation:

+ multiplied by minus is minus so that is 6-15

docker41 [41]3 years ago

6 0

Step-by-step explanation:

The First one and the last one

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Determine the domain

Aleonysh [2.5K]

Answer:

Step-by-step explanation:

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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

4 years ago

I need help with this really fast.

riadik2000 [5.3K]

Answer: its a triangle

Step-by-step explanation: illuminati conformed

3 0

3 years ago

Given: angle Q is congruent to angle T and line QR is congruent to line TR

Ainat [17]

3. Two angles and included side (ASA congruence theorem).

Reason: This is because, it is given that angle Q is congruent to angle T and line QR is congruent to line TR. Also, we proved in step 2 that $\angle PRQ\cong\angle SRT$ . Thus, we have two angles and the side included as congruent and thus, the two triangles are congruent.

4. CSCT (Corresponding Sides of a Congruent Triangle)

Reason: PR and SR are the corresponding sides of the congruent triangles $\Delta PRQ$ and $\Delta SRT$ , therefore, by the CSCT these corresponding sides have to be congruent.

3 0

4 years ago

15) If the point (6, 3) is rotated 180° clockwise about

dalvyx [7]

Answer:

B. (-2, 15)

Step-by-step explanation:

Pretend that your fixed point [2, 9] is at the origin for now by translating it two units west then nine units south [0, 0]. Now, the same goes for [6, 3]. Translate it two units west then nine units south to get [4, -6]. Then, according to the 180°-rotation rule, you take the OPPOSITE of both the x-coordinate and y-coordinate:

[4, -6] → [-4, 6]

Now, that you have your rotated point, we have to shift EVERYTHING BACK to the way it was from when we shifted the fixed point of [2, 9] to the origin. We do that by translating everything in reverse order, which is 9 blocks north then 2 blocks east:

→ [0, 0] back to [2, 9]

Translation

→ [-4, 6] to the new coordinate of [-2, 15]

I am joyous to assist you anytime.

8 0

3 years ago