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Illusion [34]
2 years ago
5

Write a recursive rule for an= Зn — 6.

Mathematics
1 answer:
mart [117]2 years ago
8 0

Answer:

Explicit formula: a(n)=3n-6

Recursive formula: a(n)=-3+(n-1)3 <--

Step-by-step explanation:

a(n)=3n-6 where a(1)=3(1)-6=-3 and d=3

<u>Plug values into recursive formula:</u>

a(n)=a1+(n-1)d

a(n)=-3+(n-1)3

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A random sample of 102 full-grown lobsters had a mean weight of 16 ounces and a standard deviation of 3.4 ounces. Construct a 98
pshichka [43]

Answer:

The best point estimate for a confidence interval estimating the population μ is 16 ounces.

The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The best point estimate for a confidence interval estimating the population μ is

The sample mean, so 16 ounces.

T interval

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 102 - 1 = 101

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 101 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.98}{2} = 0.99. So we have T = 2.36

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.36\frac{3.4}{\sqrt{102}} = 0.79

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 16 - 0.79 = 15.21 ounces

The upper end of the interval is the sample mean added to M. So it is 16 + 0.79 = 16.79 ounces

The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.

4 0
2 years ago
Please help me this looks easy but I don’t understand it tho
Tems11 [23]

Let's call the unknown amount of money <em>x</em>

Betty spend 5/12 of her money (5/12)x and had 42 dollars left. Translated,

x - \frac 5{12} x = 42

Solving,

x(1 - \frac 5{12}) = 42

\frac{7}{12} x = 42

x =  \dfrac{12}{7} \cdot 42 = 72

Answer: $72

4 0
3 years ago
Please Help me I am struggling a lot and I would be very grateful!!!
yKpoI14uk [10]
The answer would be iii: 10-15%
the way to find this is to divide 43 by 381 to get 11.2% which falls in the rage of 10-15%
5 0
3 years ago
The median weight of 21 dogs in a pet store is 14 pounds. Which action could CHANGE the median? A) the store gets a new 14-pound
mylen [45]

Answer:

B. the store gets a new 40-pound dog

Step-by-step explanation:

5 0
3 years ago
A circle has a circumfrence of 14mm. Find its area. Give an exact answer
lys-0071 [83]

Answer:

Inner circumference = 14*pi mm

Step-by-step explanation:

5 0
3 years ago
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