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Bingel [31]
1 year ago
5

Find the 25th of sequence 3,5,7,9,11

Mathematics
1 answer:
zubka84 [21]1 year ago
5 0

Answer: The 25th term of the sequence is 75

Step-by-step explanation:

The given sequence depicts an arithmetic progression. The consecutive terms differ by a common difference. We will apply the formula for arithmetic progression.

Tn = a + (n-1)d

Tn = The value of the nth term of the arithmetic sequence.

a = first term of the sequence.

d = common difference (difference between a term and the consecutive term behind it)

n = number of terms in the sequence.

From the information given,

a = 3

d = 5-3 = 7-5 = 2

We want to look for the 25th term, T25

So n = 25

T25 = 3 + (25-1)2 = 3+ 24×2

T25 = 3 + 72 = 75

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The mean life of a television set is 119 months with a standard deviation of 13 months. If a sample of 67 televisions is randoml
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Answer:

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Step-by-step explanation:

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5 0
1 year ago
The time between failures for an electrical appliance is exponentially distributed with a mean of 25 months. What is the probabi
katrin [286]

Answer:

The probability that the next failure will not occur before 30 months have elapsed is 0.0454

Step-by-step explanation:

Using Poisson distribution  where

t= number of units of time

x= number of occurrences in t units of time

λ= average number of occurrences per unit of time

P(x;λt) = e raise to power (-λt)  multiplied by λtˣ divided by x!

here λt = 25

x= 30

P(x= 30) = 25³⁰e⁻²⁵/ 30!

P (x= 30) = 8.67 E41 * 1.3887 E-11/30!    (where E= exponent)

P (x=30) = 1.204 E31/30!

Solving it with a statistical calculator would give

P (x=30) = 0.0454

The probability that the next failure will not occur before 30 months have elapsed is 0.0454

7 0
2 years ago
M a right angle. 2 lines form a right angle. Another line extends between the 2 lines to form 2 angles. The top angle is labeled
siniylev [52]

Answer:

i think it's congruent .

Step-by-step explanation:

8 0
1 year ago
Karson drove from his house to work at an average speed of 35 miles per hour.  The drive took him 20 minutes.  If the drive took
Nastasia [14]

Answer:

Karson's average speed on his way home was 28 miles per hour.

Step-by-step explanation:

Since Karson drove from his house to work at an average speed of 35 miles per hour, and the drive took him 20 minutes, if the drive took him 25 minutes and he used the same route in reverse, to determine what was his average speed going home, the following calculation must be performed:

60 = 35

20 = X

20 x 35/60 = X

700/60 = X

11.666 = X

25 = 11,666

60 = X

60 x 11.666 / 25 = X

27.99 = X

Therefore, Karson's average speed on his way home was 28 miles per hour.

3 0
1 year ago
After a storm damage is the community center she gotten her friend told fundraising events out pay for repairs after the first e
brilliants [131]

Question:

After a storm damages the community center, Shanika and her friends hold fundraising events to help pay for repairs. After the first event, they raise $240, which is 10% of the total amount that they want to raise. What is the total amount of money that Shanika and her friends want to raise?

Answer:

The total amount of money that Shanika and her friends want to raise is $2400

Step-by-step explanation:

Here we have the amount raised = $240

Also we are told that the amount raised is only 10% of the amount they want to raise

Therefore if we put the amount they want to raise as D we have

10% of D = $240

That is;

\frac{10}{100} \times D = \$240

That means

D = \$240 \times  \frac{100}{10}  = 10 \times  \$240 = \$2400

Therefore, the total amount of money that Shanika and her friends want to raise = $2400.

8 0
2 years ago
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