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3 years ago

Find the value of y in the solution to the system of equations shown. y= 12x+7 y=-6x+25

Mathematics

2 answers:

Nitella [24]3 years ago

5 0

Answer:

Alright well solve first the variable in one of the equations, then substitute the result into the other equation

Point form: (1, 19)

equation form: x = 1 and y = 19

Hope this helps have a nice day :)

Step-by-step explanation:

padilas [110]3 years ago

4 0

Answer: The required value of y is 19.

Step-by-step explanation: We are given to find the value of y in the solution to the following system of equations :

$y=12x+7~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=-6x+25~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

Comparing equations (i) and (ii), we get

$12x+7=-6x+25\\\\\Rightarrow 12x+6x=25-7\\\\\Rightarrow 18x=18\\\\\Rightarrow x=\dfrac{18}{18}\\\\\Rightarrow x=1.$

From equation (i), we get

$y=12\times1+7=12+7=19.$

Thus, the required value of y is 19.

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The caller times at a customer service center has an exponential distribution with an average of 22 seconds. Find the probabilit

jenyasd209 [6]

Answer:

The probability that a randomly selected call time will be less than 30 seconds is 0.7443.

Step-by-step explanation:

We are given that the caller times at a customer service center has an exponential distribution with an average of 22 seconds.

Let X = caller times at a customer service center

The probability distribution (pdf) of the exponential distribution is given by;

$f(x) = \lambda e^{-\lambda x} ; x > 0$

Here, $\lambda$ = exponential parameter

Now, the mean of the exponential distribution is given by;

Mean = $\frac{1}{\lambda}$

So, $22=\frac{1}{\lambda}$ ⇒ $\lambda=\frac{1}{22}$

SO, X ~ Exp( $\lambda=\frac{1}{22}$ )

To find the given probability we will use cumulative distribution function (cdf) of the exponential distribution, i.e;

$P(X\leq x) = 1 - e^{-\lambda x}$ ; x > 0

Now, the probability that a randomly selected call time will be less than 30 seconds is given by = P(X < 30 seconds)

P(X < 30) = $1 - e^{-\frac{1}{22} \times 30}$

= 1 - 0.2557

= 0.7443

7 0

3 years ago

What is the volume of the triangular prism show below? 13 cm 8 cm 3 cm

dimaraw [331]

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3 years ago

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Readme [11.4K]

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2 years ago

A farmer sells 8.7 kilograms of pears and apples at the farmer's market. 2 5 of this weight is pears, and the rest is apples. Ho

Ivenika [448]

Answer: 5.22kg

Step-by-step explanation:

From the question, a farmer sells 8.7 kilograms of pears and apples at the market. Of the pears and apples sold, 2/5 of this weight is pears, and the rest is apples. To calculate the kilograms of apple sold goes thus:

Total kilograms sold = 8.7kg

Fraction of pears weight = 2/5

Pears kilograms sold = 2/5 × 8.7

= 0.4 × 8.7

= 3.48kg

Since the kilograms of pears sold is , 3.48kg, to get the kilograms of apple sold, we subtract 3.48kg from 8.7kg. This will be:

= 8.7kg - 3.48kg

= 5.22kg

8 0

2 years ago

Help pls im on a timed test * For people who search it up (3x)^3=3^1

wel

Answer:

Option D. x = -2

Step-by-step explanation:

Given equation:

$(3^x)^3 = 3^1$ .

$(3^3^+^(^-^2^)) = 3^1$

$= 3^1$ .

Your answer will be Option D.

6 0

2 years ago