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4 years ago

Write the explicit formula for the following sequence. 2, 5, 8, 11, ...

Mathematics

2 answers:

Alexxandr [17]4 years ago

6 0

Answer:

add by 3

Step-by-step explanation:

11-8=3, 8-5=3, 5-2=3

strojnjashka [21]4 years ago

5 0

Answer:

First let's first find the common difference

d = 5 - 2 = 3

First term a = 2

The formula is

U(n) = a + (n - 1)d where n is the number of terms

= 2 + (n - 1)3

= 2 + 3n - 3

= 3n - 1

Hope this helps.

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MariettaO [177]

Answer:

0.7969

Step-by-step explanation:

Given that: A sample of size n= 49 is obtained. The population mean is m= 80 and the population standard deviation is s = 14.

The z score measures the number of standard deviation by which the raw sore is above or below the mean. It is given by the equation:

$z=\frac{x-m}{\frac{s}{\sqrt{n} } }$

For x = 78.3, the z score is:

$z=\frac{x-m}{\frac{s}{\sqrt{n} } }=\frac{78.3-80}{\frac{14}{\sqrt{49} } } =-0.85$

For x = 85.1, the z score is:

$z=\frac{x-m}{\frac{s}{\sqrt{n} } }=\frac{85.1-80}{\frac{14}{\sqrt{49} } } =2.55$

P(78.3<x<85.1) = P(-0.85<z<2.55) = P(z<2.55) - P(z<-0.85) = 0.9946 - 0.1977 = 0.7969

7 0

4 years ago

Read 2 more answers

Suppose that 8% of the students in your school are Swedish. If you stop students at random in the hall way and ask whether they'

const2013 [10]

Given that 8% of the students are Swedish, this means that 100 - 8 = 92% are not Swedish.

Let S represent the event that a student is Swedish and N represent the event that a student is not a Swedish.

Then, the probability that a student chosen at random is a Swedish, P(S), = 8% = 0.08
The probability that a student chosen at random is not a Swedish, P(N), = 92% = 0.92

That the first Swedish person found was on the third trial means that the first and second trial produced a non-Swedish.

Therefore, the required probability = 0.92 x 0.92 x 0.08 = 0.068 to three decimal places.

8 0

3 years ago

The right triangular prism has a volume of 1,152 cm3. What is the value of x, the height of the prism? 6 8 12 16

rusak2 [61]

volume = 1/2 x a x b x X

1152= 1/2 x 12x 12 x X

12*12 = 144

1152 = 1/2 x 144 x X

1152/ 1/2 = 2304

2304 =144 x X

X=2304/144 = 16

check 1/2*12*12*16 = 1152