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creativ13 [48]
3 years ago
8

According to a certain​ country's department of​ education, 39.9​% of​ 3-year-olds are enrolled in day care. what is the probabi

lity that a randomly selected​ 3-year-old is enrolled in day​ care?
Mathematics
1 answer:
Yuliya22 [10]3 years ago
8 0
The probability would be 39.9%

The given probability states that 39.9% of the 3 years olds are in daycare. Therefore, it would be obvious to assume that if you randomly selected a 3 year old, that would be the probability that he/she is in daycare.
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Find the inverse function of
shtirl [24]

Answer:

f(x) = 20x - 4 \\ substitute \: y \: for \: f(x) \\ y = 20x - 4 \\ interchange \: x \: and \: y \\ x = 20y - 4 \\ swap \: the \: sides \: of \: the \: equation \\ 20y - 4 = x \\ move \: the \: constant \: to \: the \: right \: hand \\ 20y = x + 4  \\ divide \: both \: sides \: by \: 20 \\ y =  \frac{1}{20} x +  \frac{1}{5}  \\ substitute \: f {}^{ - 1} (x) \: for \: y \\ f {}^{ - 1} (x) =  \frac{1}{20} x +  \frac{1}{5}

The domain of the inverse of a relation is the same as the range of the original relation. In other words, the y-values of the relation are the x-values of the inverse.

Thus, domain of f(x): x∈R = range of f¯¹(x)

and range of f(x): x∈R =domain of f¯¹(x)

3 0
2 years ago
How many ones equal seven thousands
aleksklad [387]
7,000 ones is the answer
4 0
3 years ago
Read 2 more answers
Question 24 Multiple Choice Worth 1 points)
hammer [34]

Given:

The system of equations is:

Line A: y=x-4

Line B: y=3x+4

To find:

The solution of given system of equations.

Solution:

We have,

y=x-4              ...(i)

y=3x+4           ...(ii)

Equating (i) and (ii), we get

x-4=3x+4

-4-4=3x-x

-8=2x

Divide both sides by 2.

-4=x

Substituting x=-4 in (i), we get

y=-4-4

y=-8

The solution of system of equations is (-4,-8).

Now verify the solution by substituting x=-4, y=-8 in the given equations.

-8=-4-4

-8=-8

This statement is true.

Similarly,

-8=3(-4)+4

-8=-12+4

-8=-8

This statement is also true.

Therefore, (-4,-8) is a solution of the given system of equations, because the point satisfies both equations. Hence, the correct option is C.

8 0
2 years ago
Divide. Write the quotient in lowest terms.<br> 5 divide 3 1/3
Step2247 [10]

Answer:

3/2 or 1 1/2

Step-by-step explanation:

5÷3 1/3

5/1 ÷ 10/3 because you have to get it into an improper fraction form in order to divide

5/1 × 3/10 because you have to multiply the first number by the reciprocal

5  and 10 cancel out so you would have 2 at the bottom

3/2 or 1 1/2

3 0
3 years ago
The product of two consecutive positive integers is 56. Find the two integers
vredina [299]

Answer:

Two consecutive integers are of the form

x and x + 1

Their product is equal to 56

x(x + 1) = 56

Solve and find the two numbers x and x + 1. The above equation may be written as follows

x2 + x - 56 = 0

Factor and solve

(x - 7)(x + 8) = 0

solutions: x = 7 , x = -8

x= - 8 is not valid since the number sought must be positive. Hence

x = 7 and x + 1 = 8 are the two consecutive numbers.

Step-by-step explanation:

7 0
3 years ago
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