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3 years ago

I need help plz and thankd

Mathematics

1 answer:

sergeinik [125]3 years ago

3 0

The correct answer is A, it has -1. While B's got 1.

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Infinite over E n=1 4(0.5)^n-1

yan [13]

Answer:

S = 8

Step-by-step explanation:

An infinite geometric series is defined as limit of partial sum of geometric sequences. Therefore, to find the infinite sum, we have to find the partial sum first then input limit approaches infinity.

However, fortunately, the infinite geometric series has already set up for you. It’s got the formula for itself which is:

$\displaystyle \large{\lim_{n\to \infty} S_n = \dfrac{a_1}{1-r}}$

We can also write in summation notation rather S-term as:

$\displaystyle \large{\sum_{n=1}^\infty a_1r^{n-1} = \dfrac{a_1}{1-r}}$

Keep in mind that these only work for when |r| < 1 or else it will diverge.

Also, how fortunately, the given summation fits the formula pattern so we do not have to do anything but simply apply the formula in.

$\displaystyle \large{\sum_{n=1}^\infty 4(0.5)^{n-1} = \dfrac{4}{1-0.5}}\\\\\displaystyle \large{\sum_{n=1}^\infty 4(0.5)^{n-1} = \dfrac{4}{0.5}}\\\\\displaystyle \large{\sum_{n=1}^\infty 4(0.5)^{n-1} = 8}$

Therefore, the sum will converge to 8.

Please let me know if you have any questions!

6 0

2 years ago

A medical test has been designed to detect the presence of a certain disease. Among people who have the disease, the probability

Oksi-84 [34.3K]

Answer:

a) 0.497

b) 0.0047

Step-by-step explanation:

a) The probability that the person actually has the disease

$\frac{0.06 *0.93}{0.06 *0.93 + 0.06 *0.94} = 0.497$

b) The probability that the person actually does have the disease $\frac{0.06 *0.07}{0.06 *0.06 + 0.93 *0.94} = 0.0047$

6 0

3 years ago

in a small machine shop, eight 5-gallon drums of oil are on hand. if 2 gallons are used each day and the owner wants a 30-day su

zavuch27 [327]

If 2 gallons of oil are used a day, than he will need 60 gallons of oil, because 30x2=60. For 60 gallons of oil, you would have to have 12 drums because 60÷5=12. Because there is already 8 drums of oil, there would already be 40 gallons because 8x5=40. If the owner already had 40 gallons of oil, they would only have to get 20 more gallons because 60-40=20. That would be 4 drums because 20÷5=4. The owner would have to order 4 more drums of oil.

4 0

3 years ago

240 as a percentage

Sladkaya [172]

Answer:

240%

Step-by-step explanation:

240 / 100 Answer: 240%

4 0

3 years ago

Read 2 more answers

Choose one of the factors of x^3 + 343.