Un número real no puede pertenecer a los racionales y a los irracionales a la vez?

A bag contains 20 slips of paper Individually numbered. If a slip of paper and a letter in the word PENNSYLVANIA is chosen at ra

Soloha48 [4]

Answer:

$P(M4\ n\ V) = 2.083\%$

Step-by-step explanation:

Given

Paper = 20 slips

Word: PENNSYLVANIA

Required

Determine P(Multiple of 4 and V)

The sample size of the 20 slips is:

$n(S) = 20$

The outcomes of multiples of 4 is:

$M4= \{4,8,12,16,20\}$

$n(M4) = 5$

So, the probability of multiples of 4 is:

$Pr(M4) = \frac{5}{20}$

$Pr(M4) = \frac{1}{4}$

The sample size of PENNSYLVANIA is:

$n(S) = 12$

The outcome of V is:

$n(V) = 1$

So, the probability of V is:

$P(V) = \frac{1}{12}$

So, the required probability is: P(Multiple of 4 and V)

$P(M4\ n\ V) = P(M4) * P(V)$

$P(M4\ n\ V) = \frac{1}{4} * \frac{1}{12}$

$P(M4\ n\ V) = \frac{1}{48}$

$P(M4\ n\ V) = 0.02083$

Express as percentage

$P(M4\ n\ V) = 0.02083 * 100\%$

$P(M4\ n\ V) = 2.083\%$

4 0

3 years ago

A yearbook printer charges based on the number of pages printed. Here is a table that shows the cost of some recent yearbooks:

asambeis [7]

y = 0.012x + 0.65

Number of pages 50.00 100.00 150.00 200.00 
Cost 1.25 1.85 2.45 3.05

x = number of pages
y = cost

intervals of x = 50 pages
intervals of y = 0.60
0.60 / 50 = 0.012

y = 0.012x + 0.65

 x 0.012*x y 
 0.012 50 0.60 0.65 1.25
0.012 100 1.20 0.65 1.85
 0.012 150 1.80 0.65 2.45
 0.012 200 2.40 0.65 3.05

5 0

3 years ago

Consider the parabola y = 5x − x2. (a) find the slope m of the tangent line to the parabola at the point (1, 4).

kkurt [141]

The tangent line to a curve is the one that coincides with the curve at a point and with the same derivative, that is, the same degree of variation.
We have then:
y = 5x-x²
Deriving:
y '= 5-2x
In point (1, 4)
The slope is:
y (1) '= 5-2 * (1)
y (1) '= 3
The equation of the line will be:
y-f (a) = f '(a) (x-a)
We have then:
y-4 = 3 (x-1)
Rewriting:
y = 3x-3 + 4
y = 3x + 1
Answer:
the tangent line to the parabola at the point (1, 4) is
y = 3x + 1
the slope m is
m = 3

7 0

3 years ago

Fill in the blanks. If a function is one-to-one then its inverse will be _____________. If a function is NOT one-to-one then its

katrin [286]

Answer:

Inverse functions Inverse Functions If f is a one-to-one function with domain A and range B, we can de ne an inverse function f 1 (with domain B ) by the rule f 1(y) = x if and only if f(x) = y: This is a sound de nition of a function, precisely because each value of y in the domain of f 1 has exactly one x in A associated to it by the rule y = f(x).

Step-by-step explanation:

Hope it helps

4 0

3 years ago

Solve for x: (x+4)/2=7 * (x+4)/2 is a fraction *

blondinia [14]

Answer:

x=10

Step-by-step explanation:

So, we got our equation:

$\frac{x+4}{2}=y$

We'll multiply both sides by 2 to get rid of that fraction.

x+4=14

Then, we just subtract 4 from both sides.

x=10

6 0

4 years ago

Un número real no puede pertenecer a los racionales y a los irracionales a la vez?​

Un número real no puede pertenecer a los racionales y a los irracionales a la vez?