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musickatia [10]
3 years ago
7

Simplify the following expression using the distributive property: 2x(y+ 3xy + 4x + 3)

Mathematics
1 answer:
Sidana [21]3 years ago
8 0

6 x 3 y − 9 x 3 y 2 + 12 x 4 y 3

Step-by-step explanation:

I've had this before

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What’s the answer to 15=2y-5
Natali [406]

15=2y-5

move -5 to the other side

sign changes from -5 to +5

15+5= 2y-5+5

15+5= 2y

20= 2y

divide both sides by 2

20/2= 2y/2

y= 10

Answer : y= 10

3 0
4 years ago
The Centers for Disease Control and Prevention (CDC) define a healthy sleep duration to be at least seven hours per day. The CDC
Elza [17]

Answer:

mmm

Step-by-step explanation:

4 0
3 years ago
Find the y intercept!
Irina-Kira [14]

Answer:

  -23

Step-by-step explanation:

We note that as x increases by 36 from -72 to 36, y decreases by 24 from 25 to 1.

Increasing x from -36 by another 36 to zero will correspond to a decrease in y by another 24 from 1 to -23.

The y-intercept is -23.

_____

You could go to the trouble to use these observations to compute the slope as -24/36 = -2/3. Then you could pick one of the points and write the equation in point-slope form as ...

  y = -2/3(x +36) +1 . . . point-slope form with m=-2/3, (h, k) = (-36, 1)

  y = -2/3x -24 +1 . . . . . eliminate parentheses

  y = -2/3x -23 . . . . . . . y-intercept is -23

6 0
3 years ago
Perimeter of rectangle 26ft length 6ft what's the width
Mamont248 [21]
To find the missing width/length for the perimeter of a rectangle:

You multiply the found length/width, in this case, the length, by 2. Since there are 2 of the same sides of a rectangle.
6*2 = 12
Now, you have to subtract the perimeter, 26, from the product.
36 - 12 = 24.
You have to divide the difference by 2 because 24 is the 2 missing sides put together.
24/2 = 12
So, the missing width is 12 feet.

From,
Loafly
5 0
4 years ago
Read 2 more answers
Under average driving conditions, the life lengths of automobile tires of a certain brand are found to follow an exponential dis
wariber [46]

Answer:

a) P(X>30000)=1-( 1- e^{-\frac{30000}{30000}})=e^{-1}=0.368

b) P(X>30000|X>15000)=P(X>15000)=1-( 1- e^{-\frac{15000}{30000}})=e^{-0.5}=0.607

Step-by-step explanation:

Previous concepts

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

P(X=x)=\lambda e^{-\lambda x}, x>0

And 0 for other case. Let X the random variable that represent "life lengths of automobile tires of a certain brand" and we know that the distribution is given by:

X \sim Exp(\lambda=\frac{1}{30000})

The cumulative distribution function is given by:

F(X) = 1- e^{-\frac{x}{\mu}}

Part a

We want to find this probability:

P(X>30000) and for this case we can use the cumulative distribution function to find it like this:

P(X>30000)=1-( 1- e^{-\frac{30000}{30000}})=e^{-1}=0.368

Part b

For this case w want to find this probability

P(X>30000|X>15000)

We have an important property on the exponential distribution called "Memoryless" property and says this:

P(X>a+t| X>t)=P(X>a)  

On this case if we use this property we have this:P(X>30000|X>15000)=P(X>15000+15000|X>15000)=P(X>15000)

We can use the definition of the density function and find this probability:

P(X>15000)=1-( 1- e^{-\frac{15000}{30000}})=e^{-0.5}=0.607

7 0
3 years ago
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