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2 years ago

Which of the following equations have exactly one solution?

Mathematics

1 answer:

Sonja [21]2 years ago

7 0

Answer:

Step-by-step explanation:

Because if you subtract 19x and 18 from each side it wont be 0=0, in other equatins there is infinity solutions

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Food allergies affect an estimated 7% of children under age 5 in the US. What is the probability that in a kindergarden class of

bezimeni [28]

Answer:

Probability of atleast one of 12 student has food allergies ≈ 0.58 ( approx)

Step-by-step explanation:

Given: Probability of a children under age 5 has food allergies = 7%

= $\frac{7}{100}$

To find : Probability of atleast one of 12 student has food allergies

Probability of a chindren under age 5 does not have food allergies = $1-\frac{7}{100}$

⇒ prob = $\frac{93}{100}$

now we find Probability of atleast one of 12 student has food allergies this means we have to find prob of 1 student, 2 student, 3 student, till 12 student have allergy out of 12 student of class then add all prob.

But instead of finding all these probability we find probability of student having no allergy.i.e., 0 student then subtract it from 1(total probability)

Probability of 0 student having allergy out of 12 student = $(\frac{93}{100})^{12}$

Therefore, Probability of atleast one of 12 student has food allergies

= $1-(\frac{93}{100})^{12}$

= $0.581403702521$

≈ 0.58 ( approx)

8 0

2 years ago

Read 2 more answers

Which polynomials are listed with their correct additive inverse ? Check all that apply . x^ 2 +3x-2;-x^ 2 -3x+2 O -y^ 7 -10;-y^

Phoenix [80]

Answer:

a, c. and d

Step-by-step explanation:

5 0

2 years ago

Why might working on a commission basis make dealing with finances more difficult

Kobotan [32]

Dealing with finances becomes more difficult when working on a commission basis because unlike working on a salary basis, there is no regular pay. A commission means that earnings are based on rate of sale or number of completed tasks. Income may be reduced if you do not sell enough, or fail to complete enough tasks.

4 0

2 years ago

Read 2 more answers

Suppose T is the transformation from ℝ2 to ℝ2 that results from a reflection over the y-axis followed by a reflection over the x

LenKa [72]

Answer:

A = \begin{pmatrix}-1 & 0 \\0 & -1\end{pmatrix}

Step-by-step explanation:

Let, there be a point (x , y) in R2

After reflection on Y axis, it will be ( -x , y) and thereafter if we reflect the image over X -axis , it will be (-x , -y)

So,

we need to find out a matrix

[tex]\begin{pmatrix}a & b \\c & d\end{pmatrix}[tex]

such that,

(x , y) [tex]\begin{pmatrix}a & b \\c & d\end{pmatrix}[tex] = (-x. -y)

So, we have the following set of equations.

ax + cy = -x ------------(1)

bx + dy= -y-----------(2)

We can get the solution (by inspection) as,

[tex]\begin{pmatrix}a & b \\c & d\end{pmatrix}[tex]

= [tex]\begin{pmatrix}-1 & 0 \\0 & -1\end{pmatrix}[tex]

So, the matrix is,

A = \begin{pmatrix}-1 & 0 \\0 & -1\end{pmatrix} (answer)

8 0

2 years ago

Janine is considering buying a water filter and a reusable water bottle rather than buying bottled water. Will doing so save her

Alex Ar [27]

Buying a reusable water bottle will save her money.
She drinks 50.7 ounces of water every day.
Each bottle of water costs around 15 cents
I would say the faucet filtered-mounted filter is the cheapest option

6 0

2 years ago