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Rasek [7]
2 years ago
15

Solve the system Also plz show work and what you did and these two equations with x and y the x and y have to be the same in bot

h the equations 0.5x +y=4 0.5x-y=-1 what is the solution
Mathematics
1 answer:
Gala2k [10]2 years ago
5 0
Multply both equations by 2 leaving

x + 2y = 8
x - 2y = -2

Add the equations giving

2x = 6
x = 3

Substitute 3 in the top equation

3 + 2y = 8
2y = -5
y = -2.5
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The number of defective components produced by a certain process in one day has a Poisson distribution with a mean of 20. Each d
liberstina [14]

Answer: 0.0516

Step-by-step explanation:

Given : The number of defective components produced by a certain process in one day has a Poisson distribution with a mean of \lambda=20.

The probability mass function for Poisson distribution:-P(X=x)=\dfrac{e^{-\lambda}\lambda^x}{x!}

For x= 15 and  \lambda=20 , we have

P(X=x)=\dfrac{e^{-20}(20)^{15}}{15!}=0.0516488535318\approx0.0516

Hence, the probability that exactly 15 defective components are produced in a particular day = 0.0516

7 0
3 years ago
What’s the answer someone please help lol
serious [3.7K]

a is the answer, as i is irrational no

7 0
3 years ago
Three times the sum of a number and seven is negative thirty-six. What is the number?
Katarina [22]

Answer:

n =-19

Step-by-step explanation:

3* (n+7) = -36

Distribute

3n+21 = -36

Subtract 21 from each side

3n+21-21 = -36-21

3n = -57

Divide by 3

3n/3 = -57/3

n =-19

7 0
2 years ago
Read 2 more answers
Soft drinks are sold in aluminum cans that measure 6 inches in height and 2 inches in diameter. How many cubic inches of drink a
pychu [463]

Answer:

113.04 cubic inches.

Step-by-step explanation:

We have been given that soft drinks are sold in aluminum cans that measure 6 inches in height and 2 inches in diameter.

To find the amount of drink contained in 6 cans, we will find the volume of 1 can using volume of cylinder formula.

\text{Volume of cylinder}=\pi r^2h, where,

r = Radius of cylinder,

h = Height of cylinder.

First of let us divide diameter of given cylinder by 2 to get the radius of our cylinder as diameter is 2 times the radius.

\text{Radius}=\frac{2\text{ inches}}{2}

\text{Radius}=1\text{ inch}

Upon substituting our given values in volume formula we will get,

\text{Volume of can}=\pi*\text{(1 inch)}^2*\text{6 inch}  

\text{Volume of can}=3.14*\text{(1 inch)}^2*\text{6 inch}

\text{Volume of can}=18.84\text{ inch}^3

Therefore, one can of soft drink contains 18.84 cubic inches of drink.

To find the amount of drink contained in 6 cans we will multiply volume of 1 can by 6.

\text{Volume of 6 cans}=6\times 18.84\text{ inch}^3

\text{Volume of 6 cans}=113.04\text{ inch}^3  

Therefore, 6 cans of soft drink contain 113.04 cubic inches of drink.

4 0
2 years ago
A college student has 700$ in their account she spends $165 from the account on books and then deposits $190 in the account how
adell [148]

Hello,

I hope so far you and your family are staying safe and healthy!

We need to solve this step by step.

The college student has $700 in their account.  But then she spends $165 on books from that money. So we need to Subtract that.

700 - 165 =535

However, later on, she deposits $190 to the same account. So we need to take the remain we had and add it to the new amount.

535 + 190 = 725

Thus,

There are $725 in the account.

I wish you all the best!

~Gary

4 0
3 years ago
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