Find 10.5 in plus 7.35 in and use the correct number of significant digits in the sum

Answers

Answer 1
Answer: I don't really understand what is your question saying but the answer is 17.85, the work is the following:

     10.50
  + 07.35
________
     17.85


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Solve each quadratic equation. (2x-1)(x+7)=1

How do i solve 7x-y=21

Answers

it is 3 because we multiply 3 and 7 and we get 21
The answer answer is actually -3 because you divided 7 from 21 and you get 3 then you divided -1 because the y has a negative sing on it and you want it to be positive. That is why the answer is -3

Which expression is equivalent to 3/2⋅3/2⋅3/2⋅3/2 ? 3/2⋅4 3/42 3/24 (3/2)4

Answers

(3)/(2)\cdot(3)/(2)\cdot(3)/(2)\cdot(3)/(2)=\left((3)/(2)\right)^4

One of the community service groups is going to plant a garden. 2/3 of the space will be used for vegetables. 1/4 of the vegetable space will be used for tomatos. what fraction of the garden will be used for tomatoes? draw a picture below.

Answers

Answer:

1/6 of the vegetables space will be used for the tomatoes

Answer:

1/12 of the Garden

Step-by-step explanation:

When adding fractions, the denominators need to be the exact same number. Therefore, you need to find the LCM. The LCM of 3 and 4 is 12, so all the denominators will be 12.

2/3 * 4/4 = 8/12

1/4 * 3/3 = 3/12

8/12 + 3/12 = 11/12

Now you need to subtract it from 1 (the garden).

12/12 - 11/12 = 1/12

A pharmaceutical company knows that approximately 5% of its birth-control pills have an ingredient that is below the minimum strength, thus rendering the pill ineffective. What is the probability that fewer than 10 in a sample of 200 pills will be ineffective

Answers

Answer:

The probability that fewer than 10 in a sample of 200 pills will be ineffective is 0.4364

∴ P(X<10)=0.4364

Step-by-step explanation:

Given that the total number of sample pills is 200

ie., n=200

To find  the probability that fewer than 10 in a sample of 200 pills will be ineffective:

Let us assume it success if a pill is ineffective.

The probability of success in each trial is p=5\%

p=5\%

p=(5)/(100)

=0.05

∴ p=0.05

We know that the total probability is p+q=1

The probability of failure is q

q=1-p

q=1-0.05

∴ q=0.95

Let X be the random variable of the number of ineffective pills in a sample of 200 pills.

Hence X has Binomial distribution with parameter n=200 and p=0.05

The formula for Mean in Binomial distribution is

\mu=np

Substitute the values in the above formula we get

\mu=200(0.05)

\mu=10

The formula for Standard deviation in Binomial distribution is

\sigma=√(npq)

Substitute the values in the above formula we get

\sigma=√((200)(0.05)(0.95))

=√(9.5)

=3.082

\sigma=3.082

Now we have to find the probability that fewer than 10 in a sample of 200 pills will be ineffective.

That is to find the area to the left of x=9.5

The formula is z=(x-\mu)/(\sigma)

Substitute the values in the formula we get

z=(9.5-10)/(3.082)

=(-0.5)/(3.082)

=-0.16

z=-0.16

Now P(X<10)=P(Z<-0.16)

=0.4364

∴ P(X<10)=0.4364

Therefore the probability that fewer than 10 in a sample of 200 pills will be ineffective is 0.4364

Final answer:

The probability that fewer than 10 out of 200 birth-control pills will be ineffective is approximately 0.817, or 81.7%.

Explanation:

Probability is a mathematical concept used to quantify the likelihood of an event occurring. It ranges from 0 (impossible) to 1 (certain). It plays a crucial role in statistics and decision-making, helping to predict outcomes, assess risk, and make informed choices. To find the probability that fewer than 10 in a sample of 200 birth-control pills will be ineffective, we can use the binomial probability formula:

P(X < 10) = Σ (n choose k) * p^k * (1-p)^(n-k), where:

n = sample size = 200,

k = number of ineffective pills,

p = probability of a pill being ineffective = 0.05.

Calculating this probability using the formula, we get:

P(X < 10) ≈ 0.817, or 81.7%.

Learn more about Probability here:

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Solve the system of equations using either the substitution method or the multiplication/addition methodusing his given
3x+2y=14
2x-4y=4

6x+4y=28
2x-4y=4
8x = 32
x = 4
2y = 14 - 12 = 2
y = 1
(x , y) = (4 , 1)


Question:How can check your solution by writing the system as a matrix equation and using the inverse matrix?.

Answers

Your matrix would be made up of the coefficients in your equation. And it will be something like this:[3         2
 2       −4
]     
=  (14
                           4
)
The left side can be called your "A" matrix. I gave you the idea so that you may continue with it. Hope this can help

Final answer:

To check the solution, represent the system of equations as a matrix equation, find the inverse of the coefficient matrix, and multiply both sides of the equation by the inverse.

Explanation:

To check the solution by writing the system as a matrix equation and using the inverse matrix, we need to represent the system of equations as a matrix equation. Let's consider the given system of equations:

3x + 2y = 14

2x - 4y = 4

To do this, we can write the coefficients and constants of the system of equations as matrices:

[3 2] [x] = [14]

[2 -4] [y] = [4]

Now, we can write the system of equations as a matrix equation: AX = B, where A is the coefficient matrix, X is the variable matrix, and B is the constant matrix.

Next, we need to find the inverse of matrix A. If the inverse exists, we can multiply both sides of the matrix equation by the inverse of A to find the solution for X.

If we find the inverse of A and multiply both sides of the equation by the inverse, we get:

X = A-1B

Substituting the values of A-1 and B, we can find X, which represents the solution to the system of equations. Therefore, we can check our solution by writing the system as a matrix equation and using the inverse matrix.

Learn more about Systems of Equations here:

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What is the sum of 2/5 and 2/4?

Answers

Hello, Upschic23!
Sum means addition(+)
2/5+2/4
2/5+1/2 
4/10+5/10 
9/10 or .9
I hope this helps;)
The answer is
2/5 = 8/20 
2/4 = 10/20

18/20 NOT SIMPLIFIED  or 9/10 SIMPLIFIED