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2 years ago

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Mathematics

1 answer:

Vaselesa [24]2 years ago

6 0

Answer:

75(1/3)^(n-1).

Step-by-step explanation:

This is a Geometric sequence whose common ratio is 15/75 3/15 = 1/3.

so the nth term an = a1 r^(n-1)

= 75(1/3)^(n-1).

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Employees at a certain company currently have to pay 3% of their health care costs, while the company pays the rest. Next year,

Kaylis [27]

Answer:

Absolute change = 3%

Relative change = 100%

Step-by-step explanation:

Current percentage = 3%

Upcoming percentage = 6%

Absolute change :

Relative change :

Absolute change = (upcoming percentage - current year percentage)

Absolute change = 6% - 3% = 3%

Relative change :

[(upcoming percentage - current year percentage) / current year percentage] * 100%

[(6% - 3%) / 3%] * 100%

(3% / 3%) * 100%

1 * 100%

= 100%

6 0

3 years ago

A bird seed feeder has the approximate shape of a cone with a diameter of 12 centimeters and a height of 25.5 centimeters. What

timurjin [86]

The equation for the volume of a cone is:
$V= \frac{1}{3} \pi r^{2} h$
where V = volume of the cone, r = radius of the circular base, and h = height of the cone.

You are told that the height, h = 25.5 cm. You are also told that the diameter is <span>12 centimeters. Remember that the diameter of a circle is just twice the radius. Divide 12 by 2 to get the radius: r =12/2 = 6 cm.

Since you know </span>h = 25.5 cm and r = 6 cm, plug these values into your equation for volume of a cone and solve for V, volume:
$V= \frac{1}{3} \pi r^{2} h\\
V= \frac{1}{3} \pi (6) ^{2} (25.5)\\
V \approx 961.33$

------

Answer: B) <span>961.33 cm³ </span>

3 0

3 years ago

Read 2 more answers

I need help....Does anybody know the answer?

Alex_Xolod [135]

Answer:

4/5

Step-by-step explanation:

8/15 = 8/15

3/5 = 9/15

2/3 = 10/15

11/15 = 11/15

We see that the pattern is that the terms increase by 1/15 as they move up.

Thus, the next term in the sequence is 12/15, which can be simplified to 4/5.

Let me know if this helps!

3 0

2 years ago

Use a graphing calculator to find the value of the correlation coefficient r and determine if there is a strong correlation amon

alekssr [168]

Using a calculator, the correlation coefficient is of 0.7649. Since the correlation is greater than 0.6, there is strong correlation.

<h3>What is a correlation coefficient?</h3>

It is an index that measures correlation between two variables, assuming values between -1 and 1.

If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.

If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.

Using a calculator, we insert the points (x,y) to find the coefficient. In this problem, the points are given as follows:

(1, 5), (4, 8), (8, 3), (13, 10), (19, 13)

The coefficient is of 0.7649. Since the correlation is greater than 0.6, there is strong correlation.

More can be learned about correlation coefficients at brainly.com/question/25815006

#SPJ1

6 0

2 years ago

Mark said, "in the data set,4, 5, 5, 8, the mean and mode the same. " Is he correct? Explain why or why not in your explanation

Vinvika [58]

Answer:

Step-by-step explanation:

the mean is 16 (add 4+5+5+8, then divide answer by 4) and the mode is 5 (occurs most in data)

5 0

2 years ago