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astra-53 [7]
3 years ago
5

Which sequence is geometric and has 14 as its fifth term and 12 as the common ratio?

Mathematics
1 answer:
ss7ja [257]3 years ago
7 0
Geometric sequence is
an=a1(r)^(n-1)
an=nth erm
a1=first term
r=common ratio

5th term=14
a5=a1(12)^(5-1)=15

a1(12)^4=15
a1(20736)=15
divide both sides by 20736
a1=15/20736=5/6912
geometric sequence is
an=(5/6912)(12)^(n-1)
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The weekly salaries of a sample of employees at the local bank are given in the table below. Employee Weekly Salary Anja $245 Ra
evablogger [386]

The variance for the data is  17,507. 5.

Given

The weekly salaries of a sample of employees at the local bank are given in the table below.

Employee Weekly Salary Anja $245 Raz $300 Natalie $325 Mic $465 Paul $100.

<h3>Variance</h3>

Variance is the expected value of the squared variation of a random variable from its mean value, in probability and statistics.

The mean value of the salaries of employees is;

\rm Mean= \dfrac{245+300+325+465+100}{5}\\\\Mean=287

The variance is given by;

\rm  Variance=\sqrt{\dfrac{(245-287)^2 +(300-287)^2 +(325-287)^2 +(465-287)^2 +(100-287)^2}{5-2}} \\\\Variance = 132.316}\\\\On \ Squaring \ both \ the \ sides\\\\Variance^2=17,507. 5

Hence, the variance for the data is  17,507. 5.

To know more about variance click the link given below.

brainly.com/question/7635845

7 0
3 years ago
Please help me thank u so much
alex41 [277]

Answer:

28/5= 5 3/5 15/7= 2 1/7 21/4=5 1/4

Step-by-step explanation:

4 0
3 years ago
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Mias dog weighs 32.6 pounds. Letties dog weighs 3.8 times as much as Mias you. What does Letties dog weigh in pounds?
Whitepunk [10]
Hello!

We are given the weight of Mia's dog and told to find the weight of Lettie's dog based on the known relationship. Using these given values, we can create the following equation (let "w" represent the total weight of Lettie's dog):

w = 32.6(3.8)

Simplify the right side of the equation:

w = 123.88

We have now proven that Lettie's dog weighs 123.88 lbs.

I hope this helps!
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3 years ago
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A water storage tank has the shape of a cylinder with diameter 14 ft. It is mounted so that the circular cross-sections are vert
andrezito [222]

Answer:

percentage of the total capacity is 75.6%

Step-by-step explanation:

Hello! To solve this problem we follow the following steps

1. draw the complete scheme of the problem (see attached image)

2. To solve this problem we must find the area of ​​the circular sector using the following equation.(c in the second attached image)

A=\frac{R^2}{2} (\alpha -sin\alpha )

\alpha =2arccos(\frac{d}{R})

3. observing the attached images we replace the values ​​in the equations and find the area of ​​the circular sector, remember that you must transform the angle to radians

\alpha =2arccos(\frac{5}{7})=88.83

A=\frac{R^2}{2} (\alpha -sin\alpha )\\A=\frac{7^2}{2} (88.83-sen88.83)*\frac{\pi rad}{180} =37.57ft^2

4.we calculate the area of ​​the total circle (At), then subtract the area of ​​the circular sector (Ac) to find the area occupied by water (Aw)

At=\frac{\pi }{4} (14ft)^2=153.93ft^2

Aw=At-Ac=153.93-37.57=116.36ft^2

5.Finally, we calculate the percentage that represents the water in the tank by dividing the area of ​​the water over the total area of ​​the tank

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3 years ago
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The answer is 6. plug it in for yourself and you will see
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