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gavmur [86]
3 years ago
14

Find the 8th term of the geometric sequence whose common ratio is 2/3 and whose first term is 6.

Mathematics
1 answer:
suter [353]3 years ago
3 0

8th term = 256/729

Step-by-step explanation:

Ratio = a2/a1

2/3 = a2/6        a 2=2/3*6 =12/3 =4      a2=4

1)    6* 2/3=4

2)     4*2/3=8/3

3)   8/3*2/3 = 16/9.......

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∠3 and ∠4 are supplementary angles. If ∠3 measures 50°, what is the measure of ∠4​
Sidana [21]

Answer:

130

Step-by-step explanation:

Supplementary angles are angles that are equal to 180 degree so if one is 50 degrees then the other must be added to it and get 180

180= 50 + ∠4​

-50     -50

130=∠4​

6 0
3 years ago
Consider the points (−4, 0) and (5, 0).
Lostsunrise [7]

Answer:

answered

Step-by-step explanation:

A) there y- coordinates are same . This means that the points lie on the x- axis only.

b) since the y- coordinate is zero of  both the points. The distance between them must be same as the distance between their x- coordinates. Which can be easily obtained with help of the number line. Here the distance will be equal to 9 units.

c) since the y- coordinate is zero of  both the points. The distance between them must be same as the distance between their x- coordinates. Which can be easily obtained with help of the number line. Here the distance will be equal to 9 units

6 0
3 years ago
Find the number of gallons of paint needed to cover the sides of the building shown with two coats of paint if one gallon covers
andreyandreev [35.5K]

I don't mean to be clicking just to get a point without answering the question but there's no comment option.
Is there more to the question, any more info?
5 0
3 years ago
Read 2 more answers
What is the height, in inches, of a parallelogram that has a base of 3 feet and an area of 324 square inches?
AlekseyPX
The area of a parallelogram is just:

A=bh, we are given b=3ft, so b=36in and A=324in^2 so

324=36h  dividing both sides by 36

h=9

So the height is 9 inches.
7 0
3 years ago
Read 2 more answers
A company developing a new cellular phone plan intends to market their new phone to customers who use text and social media ofte
Ber [7]

Answer:

A customer who sends 78 messages per day would be at 99.38th percentile.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Average of 48 texts per day with a standard deviation of 12.

This means that \mu = 48, \sigma = 12

a. A customer who sends 78 messages per day would correspond to what percentile?

The percentile is the p-value of Z when X = 78. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{78 - 48}{12}

Z = 2.5

Z = 2.5 has a p-value of 0.9938.

0.9938*100% = 99.38%.

A customer who sends 78 messages per day would be at 99.38th percentile.

8 0
3 years ago
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