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Alchen [17]
2 years ago
12

A number sequence has nth term 6n + 3 (a) Write down the first four terms of this sequence.  1st term ..............., 2nd term

..............., 3rd term ..............., 4th term
Mathematics
2 answers:
aivan3 [116]2 years ago
7 0

Answer:

9, 15, 21, 27

Step-by-step explanation:

Given n=6n+3

When n=1, t= 6(1)+3 =9

When n=2, t=6(2)+3=15

When n=3, t=6(3)+3=21

When n=4, t=6(4)+3=27

SHORT TRICK :

Whenever the value of 'n' is given in the form of an algebraic expression the common difference of the Arithmetic Progrsiion (A.P) is the coefficient of 'n' in the given expression.

Ex: In this Problem,

Given that n=6n+3

The coeeficient of 'n' is '6'

If you obsereve the answer you will also see that the Common difference is also '6'

Zarrin [17]2 years ago
6 0

Step-by-step explanation:

fknfbflfhe them,......e.<em>.</em><em>t.</em><em>y</em>

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A pole, 4m high, stands, vertically, on
Lostsunrise [7]

Answer:

Length of the shadow of the pole is 6.93 metres

Step-by-step explanation:

Given:

Height of the pole = 4 m

The angle sun makes with the horizontal = 30 degrees

To Find:

Length of the shadow of the pole = ?

Solution:

The tangent ratio is the value received when the length of the side opposite of angle theta is divided by the length of the side adjacent to angle theta

Let x be the length of the shadow

According to the tangent ratio

tan {\theta} = \frac{opposite}{adjacent}

On substituting the values,

ta( {30^{o}) = \frac{4}{x}

x  = \frac{4}{tan ({30^{o})}}

x =\frac{4}{0.57735027}

x  = 6.93 m

6 0
3 years ago
The probability of picking two black marbles from a box at random without replacement is 1091 . The probability of drawing a bla
Nana76 [90]
<u><em /></u><em />The correct answer to the question above is 4/13. Below it shows how it's achieved...<u><em>

EQUATION:</em></u>
 
P(A|B) = <u>P(A ∩ B)
</u>                 P(B)
<u>
</u>Step 1: Identify 
P(B) = 5/14 
P(A ∩ B) = 10/91
<u>
</u>Step 2: Insert into the equation and Solve
10/91 ÷ 5/14
Use reciprocal to divide
10/91 × 14/5 
Simplify the answer 
140/455
Simplified (Final Answer)
4/13 


<u>
</u>
<u>

</u>
5 0
3 years ago
Read 2 more answers
The mean number of daily surgeries at a local hospital is 6.2. Assume that surgeries are random, independent events. (a) The cou
Scilla [17]

Answer:

a) correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

b) probability for only 2 or less than 2  surgeries  in a given day is 0.0536

Step-by-step explanation:

Given data:

mean number is given as 6.2

correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

we know that variance is given as\sigma^2 = mean = 6.2

hence, standard deviation is given as \sqrt{6.2} = 2.48998

thus standard deviation is 2.49

correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

b) probability for only 2 or less than 2  surgeries  in a given day is

P(X \leq 2) = P(X =0) + P(X =1) + P(X =2)

                 = \frac{e^{-6.2} 6.2^0}{0!} +\frac{e^{-6.2} 6.2^1}{1!} +\frac{e^{-6.2} 6.2^2}{2!}

                 = 0.002029 + 0.012582+ 0.039006

                 = 0.053617

                = 0.0536

7 0
2 years ago
How many passengers can the roller coaster take around the track per minute?
Setler79 [48]

Answer:

162 passengers

Step-by-step explanation:

A roller coaster can take 162 passengers around the track in 9 minutes. The roller coaster operates at a constant rate.

5 0
3 years ago
Read 2 more answers
Fionas salary is $30,000, and she expects to receive a 3% raise each year; 10 years
schepotkina [342]
You would have to first times .03 times 10 then take that times 30,000 which should equal 900
3 0
3 years ago
Read 2 more answers
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