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sveta [45]
3 years ago
10

The first several terms of a sequence { an } are given. Assume that the pattern continues as indicatedand find an explicit formu

la for an .3, 4, 5, 6, 7,
Mathematics
1 answer:
solniwko [45]3 years ago
4 0

Answer:

  an = 2 + n

Step-by-step explanation:

The differences between terms are all 1. The first term is 3. The general form of the general term is ...

  an = a1 + d(n -1)

Filling in a1 = 3 and d = 1, we have ...

  an = 3 + n - 1

  an = 2 + n . . . . . . simplify

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The probability that a randomly selected elementary or secondary school teacher from a city is a female is , holds a second job
julsineya [31]

Answer:

The probability that an elementary or secondary school teacher selected at random from this city is a female or holds a second job is 0.90.

Step-by-step explanation:

Denote the events as follows:

<em>X</em> = an elementary or secondary school teacher from a city is a female

<em>Y</em> = an elementary or secondary school teacher holds a second job

The information provided is:

P (X) = 0.66

P (Y) = 0.46

P (X ∩ Y) = 0.22

The addition rule of probability is:

P(A\cup B)=P(A)+P(B)-P(A\cap B)

Use this formula to compute the probability that an elementary or secondary school teacher selected at random from this city is a female or holds a second job as follows:

P(X\cup Y)=P(X)+P(Y)-P(X\cap Y)\\=0.46+0.66-0.22\\=0.90

Thus, the probability that an elementary or secondary school teacher selected at random from this city is a female or holds a second job is 0.90.

4 0
3 years ago
Help me please, ps u don't have to answers all of them
Leni [432]
A) To find the surface area of a cube, you have to use the formula 6•a^2
meaning you just have to calculate one side and multiply it by six.
541.5 is the surface area of the cube.
B) To find the surface area for just five sides, you'll be doing the same, except instead of 6 it'll be five.
so multiply 9.5 by itself
you get 90.25
Then you multiply 90.5 by 5
You get 451.25

Unfortunately I'm not sure how to do C. good luck

5 0
3 years ago
What is the value of the expression 100 - 92 ÷ 3?
lora16 [44]

Answer:

2.67

Step-by-step explanation:

100-92=8

8÷3

\sqrt[3]{8}

=2.67

8 0
3 years ago
Read 2 more answers
An airplane travels 6111 kilometers against the wind in 9 hours and 7911 kilometers with the wind in the same amount of time. Wh
natima [27]

Answer:

Speed of the plane in still air: 779\; {\rm km \cdot h^{-1}}.

Windspeed: 100\; {\rm km \cdot h^{-1}}.

Step-by-step explanation:

Assume that x\; {\rm km \cdot h^{-1}} is the speed of the plane in still air, and that y\; {\rm km \cdot h^{-1}} is the speed of the wind.

  • When the plane is travelling against wind, the ground speed of this plane (speed of the plane relative to the ground) would be (x - y)\; {\rm km \cdot h^{-1}}.
  • When this plane is travelling in the same direction as the wind, the ground speed of this plane would be (x + y)\; {\rm km \cdot h^{-1}}.

The question states that when going against the wind (v = (x - y)\; {\rm km \cdot h^{-1}},) the plane travels 6111\; {\rm km} in 9\; {\rm h}. Hence, 9\, (x - y) = 6111.

Similarly, since the plane travels 7911\; {\rm km} in 9\; {\rm h} when travelling in the same direction as the wind (v = (x + y)\; {\rm km \cdot h^{-1}},) 9\, (x + y) = 7911.

Add the two equations to eliminate y. Subtract the second equation from the first to eliminate x. Solve this system of equations for x and y: x = 779 and y = 100.

Hence, the speed of this plane in still air would be 779\; {\rm km \cdot h^{-1}}, whereas the speed of the wind would be 100\; {\rm km \cdot h^{-1}}.

3 0
1 year ago
What is an equivalent expression for x=3y-2
ioda
X = 3(y - 2/3) ...distribute thru the parenthesis
x = 3y - 6/3...reduce
x = 3y - 2

so ur answer is : x = 3(y - 2/3)
5 0
2 years ago
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