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fenix001 [56]
2 years ago
5

The first term of a geometric sequence is 4 and the multiplier, or ratio, is 2. what is the sum of the first 5 terms of the sequ

ence?
a. 44
b. 64
c. 44
d. 64
Mathematics
1 answer:
miss Akunina [59]2 years ago
5 0
Hi,
There must have a bug on the site !!!


LoveYourselfFirst deleted your answer to the question 
"Hello,Answer 
=1244+8+16+32+64=124 6 minutes ago"
<span>The first term of a geometric sequence is 4 and the multiplier, or ratio, is 2. what is the sum of the first 5 terms of the sequence?
</span>
a_1=4\\&#10;a_2=2*a_1=8\\&#10;a_3=2*a_2=2^2*a_1=4*4=16\\&#10;a_4=2^3*a_1=8*4=32\\&#10;a_5=2^4*a_1=16*4=64\\&#10;&#10;4+8+16+32+64=124&#10;&#10;

<span />


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alexgriva [62]

Answer:

916.1 cm^3

Step-by-step explanation:

1) find the radius of the cylinder:

radius = dimater / 2 = 7,3 / 2 = 3.65 cm

2) find the base area of the cylinder:

base area = radius^2 x 3.14 = 3.65^2 x 3.14 = 41.83265 cm^2

3) find the height of the cylinder:

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4) find the volume

V = base area x height = 41.83265 x 21.9 = 916.135035 cm^3

5) round to nearest tenth:

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3 years ago
If 7 liters of petrol cost $14.70, calculate the cost of 15 liters of petrol.​
Alex73 [517]

Hi

7 = 14.70

15= X

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15 liters  of petrol cost  31.5

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How many centimeters are in 1.3 meters
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Assume that 8​% of people are​ left-handed. We select 6 people at random. ​a) How many lefties do you​ expect? ​b) With what sta
klemol [59]

Answer:

a) 0.48

b) 0.6645

c) 12.5

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are left-handed, or they are not. The probabilities of each person being left-handed are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

The number of trials expected to find r sucesses is given by

N = \frac{r}{p}

In this problem we have that:

Assume that 8​% of people are​ left-handed. We select 6 people at random. ​

This means that p = 0.08, n = 6

a) How many lefties do you​ expect?

E(X) = np = 6*0.08 = 0.48

​b) With what standard​ deviation?

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{6*0.08*0.92} = 0.6645

​c) If we keep picking people until we find a​ lefty, how long do you expect it will​ take?

Number of trials to find 1 success. So

N = \frac{r}{p} = \frac{1}{0.08} = 12.5

4 0
3 years ago
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