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VARVARA [1.3K]
3 years ago
10

This year June 1 is a Friday, and June has 30 days. If there will be exactly one hail storm in June, but we have no idea on whic

h day it will happen, what is the probability it will happenon a Saturday, and ruin your day off?
Mathematics
1 answer:
Ratling [72]3 years ago
8 0

Answer:

The probability that the hail storm will happen on a Saturday is 0.1667.

Step-by-step explanation:

The month of June started on Friday.

Then June 2 is a Saturday.

Remaining 28 days.

Each week has 7 days.

There will be 4 full weeks for the month of June.

So there will be 4 more Saturdays.

Thus, there are a total of 5 Saturdays in the month of June.

Compute the probability that the hail storm will happen on a Saturday as follows:

P(hail-storm)=\frac{n(Saturdays)}{Total\ no.\ of\ days} =\frac{5}{30}= 0.1667

Thus, the probability that the hail storm will happen on a Saturday is 0.1667.

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A 2 pound box of salt sells for $.89 and a 5 pound box sells for 2.09. What is the linear equation for this?
castortr0y [4]
Y = ax + b;

0.89 = a * 2 + b and 2.09 = a * 5 + b =>
=> 2.09 - 0.89 = a * 5 + a * 2 + b - b => 1.20 = 3 * a => a = 1.20 / 3 => a = 0.40;
b = 0.89 - 0.40 * 2 => b = 0.89 - 0.80 => b = 0.09;

y = 0.40x + 0.09 => 0.40x - y + 0.09 = 0 is the linear equation.
4 0
3 years ago
5x – 2x + 7 – x = ?x + ?
fomenos

Step-by-step explanation:

5x – 2x + 7 – x = ?x + ?

I need the answer for "no solution" and "infinite solutions".

NO SOLUTION:

no solution because any value you give to x is not solvable, it remains +7

5x – 2x + 7 – x = ?x + ?

2x = 2x + 7

INFINITE SOLUTION

infinite solutions because any value you give to x is solvable

5x – 2x + 7 – x = ?x + ?

5x – 2x + 7 – x = 2x + 7

2x + 7 = 2x + 7

8 0
2 years ago
Differentiating Functions of Other Bases In Exercise, find the derivative of the function.
aniked [119]

Answer:

\dfrac{dy}{dx} = \frac{2x-3}{\ln 16(x^2 - 3x)}

Step-by-step explanation:

We are given the following in the question:

y = \ln {16}(x^2 - 3x)

We have to find the derivative of the given expression.

y = \ln 16(x^2 - 3x)\\\text{Using the log propert}\\\\\log_a b = \dfrac{\log b}{\log a}\\\\dfrac{d(x^n)}{dx} = nx^{n-1}\\\\\dfrac{d(\log x)}{dx} = \dfrac{1}{x}\\\\\text{\bold{Differentiating we get}}\\\\\displaystyle\frac{dy}{dx} = \frac{d(\ln 16(x^2-3x))}{dx}\\\\= \frac{1}{16(x^2-3x)})\frac{d(x^2-3x)}{dx}\\\\=\frac{1}{\log 16(x^2-3x)}(2x - 3)\\\\= \frac{2x-3}{\ln 16(x^2 - 3x)}

\dfrac{dy}{dx} = \frac{2x-3}{\ln 16(x^2 - 3x)}

7 0
4 years ago
Find the slope of the line that passes through the points (2, 4) and (6, 12)
Aleks [24]
The answer is 2.

The formula for slop is y2-y1/x2-x1
Using this formula we get 12-4/6-2 or 8/4 which simplifies to 2.

Hope this helps!
3 0
3 years ago
Read 2 more answers
Suppose the invertible function φ(x) has the domain (−5,11) and the range (−12,1).
Rom4ik [11]

Answer:

Range of \phi^{-1} is (−5,11).

Step-by-step explanation:

Given the invertible function Ф(x) which has the domain (−5,11) and the range (−12,1).

Invertible function is the function that inverses another function i.e if y=Ф(x) then x=g(y) where g is called the inverse of Ф and denoted by\phi^{-1}

Given Ф(x) the function whose domain is (−5,11) and range is (−12,1). Therefore, by definition of invertible function there exist a function g with domain (−12,1) and range (−5,11) which is called the inverse function denoted by \phi^{-1}

Hence, Range of \phi^{-1} is (−5,11)



3 0
3 years ago
Read 2 more answers
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