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luda_lava [24]
3 years ago
8

What’s the 69th term of the arithmetic sequence -13, -33, -53

Mathematics
1 answer:
katovenus [111]3 years ago
3 0

Answer:

(-1373)

Step-by-step explanation:

a = 1st term = -13

Common difference = d = 2nd term - 1st term

                            d = -33 - (-13) = -33 + 13

                             d = -20

n = 69

nth term = a + (n-1)d

69th term = (-13) + 68 * (-20)

                 = -13 - 1360

                =  - 1373

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A study of long-distance phone calls made from General Electric Corporate Headquarters in Fairfield, Connecticut, revealed the l
lesya692 [45]

Answer:

The probability that a call last between 4.2 and 4.9 minutes is 0.4599

Step-by-step explanation:

Let X be the length in minutes of a random phone call. X is a normal distribution with mean λ=4.2 and standard deviation σ=0.4. We want to know P(4.2 < X < 4.9). In order to make computations, we will use W, the standarization of X, given by the following formula

W = \frac{X-\mu}{\sigma} = \frac{X-4.2}{0.4}

We will use \phi , the cummulative distribution function of W. The values of \phi are well known and the can be found in the attached file

P(4.2 < X < 4.9) = P(\frac{4.2-4.2}{0.4} < \frac{X-4.2}{0.4} < \frac{4.9-4.2}{0.4}) = P(0 < W < 1.75) = \\ \phi(1.75) - \phi(0) = 0.9599-0.5 = 0.4599

We conclude that the probability that a call last between 4.2 and 4.9 minutes is 0.4599

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7 0
3 years ago
Please help me I really need these to be answered. Whoever does it gets 100 points!
VladimirAG [237]

Answer 1:

x=2 and y=2

Answer 2:

No solutions.

5 0
3 years ago
Read 2 more answers
the length of diagonal of a rectangular field is 23.7 m and one of its sides is 18.8 m. find the perimeter of the field.​
katen-ka-za [31]

Answer:

Approximately 66.4 Meters

Step-by-step explanation:

So we have a rectangle with a width of 18.8 meters and a diagonal with 23.7 meters. To find the perimeter, we need to find the length first. Since a rectangle has four right angles, we can use the Pythagorean Theorem, where the diagonal is the hypotenuse.

a^2+b^2=c^2

Plug in 18.8 for either <em>a </em>or <em>b. </em>Plug in the diagonal 23.7 for <em>c. </em>

<em />(18.8)^2+b^2=23.7^2\\b^2=23.7^2-18.8^2\\b=\sqrt{23.7^2-18.8^2} \\b\approx14.4 \text{ meters}

Therefore, the length is 14.4 meters. Now, find the perimeter:

P=2l+2w\\P=2(14.4)+2(18.8)\\P=66.4\text{ meters}

7 0
3 years ago
Iliana cubed the number of flowering plants in her garden, then added 2 vegetable plants. Let p represent the original number of
adelina 88 [10]
When she cubed the number of flowering plants that means p^3 so the answer is not A or B 
now take a look at C or D 
both are p^3 + 2 which is right now lets solve it:
3^3 + 2 = 27 +2 = 29 
so the answer is D :)))
i hope  this is helpful
have a nice day 
3 0
3 years ago
Read 2 more answers
PLEASE HELP!!! TRIG, Theres a picture!!
BartSMP [9]

Answer:

<h2>The answer is option C</h2>

Step-by-step explanation:

3(  { \tan }^{2} \theta -    { \sec }^{2}  \theta)

Using trigonometric identities

That's

1 + { \tan }^{2} \theta  =   { \sec }^{2}  \theta

Rewrite the expression

That's

3({ \tan }^{2} \theta - (1 + { \tan }^{2} \theta)) \\

Simplify

We have

3({ \tan }^{2} \theta - 1 - { \tan }^{2} \theta) \\ 3({ \tan }^{2} \theta - { \tan }^{2} \theta - 1)

So we have

3( - 1)

We have the final answer as

<h2>- 3</h2>

Hope this helps you

3 0
3 years ago
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