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3 years ago

(a) For the sequence 11,13,15,17,............find the 13th term

Mathematics

2 answers:

ziro4ka [17]3 years ago

5 0

I told you earlier the pattern is +2 why didn’t you just add it yourself lol

laila [671]3 years ago

3 0

Answer:

Step-by-step explanation:

the pattern is +2 so the answer is 35

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The cube with side 2 is cut from the corner of rectangular prism with dimensions 4×3×5. Find the volume and total surface area o

True [87]

Answer:

Volume: 52 Units Squared

Surface Area: 94 units.

Step-by-step explanation:

The volume is relatively simple to find. Just subtract the original volume by the 2x2x2 cube's volume. The original volume is 60. The cube's volume is 2x2x2 which is 8. 60-8=52.

The surface area is harder to find. Try to envision the corner of the rectangle being cut out. We see that each side of the cube has a surface area of 2x2 which is 4. In the picture, we see that three sides of the rectangle has been partially removed. But since each side of the cube has an equal surface area, it is safe to minus 3 of the sides that has been partially removed by 3. However, since that it is the corner, the "dent" that the cube made in the rectangle also needed to be counted. As we said, each of the sides of a cube has a surface area of 4, so since that the dent has 3 sides, we see that the surface area of the dent is 4x3 which is 12. Now we need to count the unaffected sides of the rectangle. There are three of them. Just multiply the edges to find the surface area of each side. Add all of the values up: 11+16+12+8+15+12+20=94 units.

5 0

2 years ago

Sigma notation from sum. pls help?? sorry for the calc spam :P

givi [52]

To the risk of sounding redundant,

$\bf \begin{array}{ccccccccc}
k=2&&k=3&&k=4&&k=5&&k=6\\\\
\frac{\underline{2}+2}{2(\underline{2})}&&\frac{\underline{3}+2}{2(\underline{3})}&&\frac{\underline{4}+2}{2(\underline{4})}&&\frac{\underline{5}+2}{2(\underline{5})}&&\frac{\underline{6}+2}{2(\underline{6})}\\\\
1&+&\cfrac{5}{6}&+&\cfrac{6}{8}&+&\cfrac{7}{10}&+&\cfrac{8}{12}
\end{array}$

and surely you'd know what that is.

7 0

3 years ago

Inquiries arrive at a record message device according to a Poisson process of rate 15 inquiries per minute. The probability that

zloy xaker [14]

Answer:

0.0498 = 4.98%

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

Inquiries arrive at a record message device according to a Poisson process of rate 15 inquiries per minute.

Each minute has 60 seconds.

So a rate of 1 inquire each 4 seconds.

The probability that it takes more than 12 seconds for the first inquiry to arrive is approximately

Mean of 1 inquire each 4 seconds, so for 12 seconds $\mu = \frac{12}{4} = 3$

This probability is P(X = 0).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498$

5 0

3 years ago

If Sam drives his car 171 miles in 9 hours, what is his speed

VikaD [51]

171/9=19mph hope it helps

4 0

2 years ago

Please help! image is shown below

natta225 [31]

The top line tells you this two figure is similar.

What does this mean? Similar figures have the exact same corresponding angles and proportionate sides.

You can find their side ratio with 38 and 15.2.

38 ÷ 15.2 = 2.5

To find x, use 55 ÷ 2.5 and you get 22 as your answer.

4 0

2 years ago

(a) For the sequence 11,13,15,17,............find the 13th term​

(a) For the sequence 11,13,15,17,............find the 13th term