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kondaur [170]
3 years ago
12

If (x+2),3x and (4x+1)are in AP find the value of x

Mathematics
1 answer:
Gala2k [10]3 years ago
8 0

Answer:

<u>x</u><u> </u><u>is</u><u> </u><u>3</u>

Step-by-step explanation:

{ \bf{U _{2} - U _{1} = U _{3} -U _{2}  }}

{ \tt{3x - (x + 2) = (4x + 1) - 3x}} \\ { \tt{2x - 2 = x + 1}} \\ { \tt{x = 3}}

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White raven [17]
5.6 is 5.63 rounded to the nearest tenth
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4 years ago
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Suppose you have a bag containing 15 red beads, 12 white beads and 8 black beads. You are going to draw one bead out of the bag.
iren [92.7K]

Answer:

probability that you draw a black bead or a white bead that is P(E1 U E2)

= 20/35 = 0.571

Step-by-step explanation:

Given a bag containing 15 red beads, 12 white beads and 8 black beads

n(S) = 15 + 12 +8 = 35

Let 'E1 be the event of selecting black beads and E2 be the event of selecting white beads

n(E1) = 8 and n(E2) = 12

Probability of draw a black bead P( E1 ) = \frac{n(E_{1} )}{n(S)}

                                                      P(E_{1}) = \frac{8}{35}

Probability of draw a white bead P( E2 ) = \frac{n(E_{2} )}{n(S)}

                                                    P(E_{2}) = \frac{12}{35}

probability that you draw a black bead or a white bead that is P(E1 U E2)

and E1 n E2 = ∅ (disjoint events)

<u>Axiom of union </u>

<u></u>P(E_{1}UE_{2} ) = P(E_{1})+P(E_{2}) - P(E_{1}nE_{2})\\<u></u>

E1 n E2 = ∅ ⇒ P(E1 n E2) = p(∅) = 0

P(E_{1}UE_{2} ) = P(E_{1})+P(E_{2}) - 0

P(E_{1}UE_{2} ) = \frac{8}{35} +\frac{12}{35}

P(E_{1}UE_{2} ) = \frac{20}{35}

P(E_{1}UE_{2} ) = 0.571

8 0
4 years ago
(b^4)^2 ???????????????
Bogdan [553]

Answer:

b^8

Step-by-step explanation:

3 0
4 years ago
Find the area of a trapezoid, in which b1=13cm, b2=16cm, and h=3cm.
Fed [463]

Answer:

b 43.5 cm^2

Step-by-step explanation:

The area of a trapezoid is found by using the formula

A = 1/2 (b1+b2) h

where b1 and b2 are the lengths of the bases

A = 1/2(13 +16) *3

A = 1/2 (29)*3

A = 43.5 cm^2

4 0
4 years ago
Including Jose, there are eight people in his family.
SIZIF [17.4K]

Answer:

840

Step-by-step explanation:

Since the order matters, we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

In this question:

The first seat is Jose's.

The remaining four are organized among the other 7 members. So

P_{(7,4)} = \frac{7!}{(7-4)!} = 840

So the correct answer is:

840

7 0
4 years ago
Read 2 more answers
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