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3 years ago

Write a recursive rule for an= Зn — 6.

Mathematics

1 answer:

mart [117]3 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

Plug values into recursive formula:

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

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

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For which pairs of functions is (f circle g) (x)?

vichka [17]

Pairs are the 2xm6 that’s the answer

7 0

4 years ago

Read 2 more answers

HELP ASAP PLEASE

Roman55 [17]

Answer:

a. median is 8

b. first quartile is 7

c. third quartile is 9.5

d. below

e. below

Step-by-step explanation:

7, 10, 10, 6, 7, 8, 8, 7, 9.

Place number in order least to greatest

6, 7, 7, 7, 8, 8, 9, 10, 10

a. What is the median?

The median is the middle number in a data set

number of terms in data set (n) + 1 / 2 =

9 + 1 / 2 = 10 / 2

6, 7, 7, 7, 8, 8, 9, 10, 10

The median is 8

b. What is the first quartile?

Q1 is the central point between the smallest score and the median

6, 7, 7, 7

since there is even number of data points you find the average,

7 + 7 / 2 = 14 / 2 = 7

c. What is the third quartile?

Q3 is the central point between the median and the largest score

8, 9, 10, 10

since there is even number of data points you find the average,

9 + 10 / 2 = 19 / 2 = 9.5

d. Draw a box plot of the data.

below

e. Write two conclusions about the data shown in the box plot.

There are no outliers with a minimum of 6 and a maximum of 10. The Interquartile Range is 2.5 (9.5 - 7)

3 0

2 years ago

4x^2 - 24x + 7 = 3 I don't understand how to get to the final answer of x= 3 ± 2sqrt2

sergey [27]

4x² - 24x +7-3 =0
4x² - 24x + 4=0 /:4
x² - 6x +1=0
Use formula

$x = \frac{-b+/- \sqrt{ b^{2}-4ac } }{2a} 

For our equation a=1, b= - 6, c = 1

x= (6+/- \sqrt{36-4)}/2 = \frac{-6+/- \sqrt{32} }{2} = \frac{-6+/- \sqrt{16*2} }{2} = \frac{-6+/-4 \sqrt{2} }{2} 

= -3 +/- 2\sqrt{2} 
$

8 0

3 years ago

he average movie admission price for a recent year was $7.18. The population variance was 3.81. A random sample of 15 theater ad

Gemiola [76]

Answer:

Since the calculated value of z= 1.6279 does not fall in the critical region Z ≥ ±1.96 we conclude that there is no difference between the population variance and the sample variance.

Step-by-step explanation:

The data given is

Population mean μ= $ 7.18

Population variance= σ²= 3.81

Population Standard Deviation = √σ²= √3.81= 1.952

Sample Mean= x`= $ 8.02

Sample Standard Deviation =s = $ 2.08

Sample Size = 15

Significance Level = ∝= 0.05

The null and alternate hypotheses are

H0: σ1=σ2 against the claim that Ha: σ1≠ σ2

where σ1 is the population variance and

σ2 is the sample variance

The rejection region is Z ≥ ±1.96 for two tailed test at ∝= 0.05

The test statistic z is used

z= x`- μ/ σ/√n

Putting the values

Z= 8.02-7.18/1.952/√15

z= 0.84/0.51599

z= 1.6279

Since the calculated value of z= 1.6279 does not fall in the critical region Z ≥ ±1.96 we conclude that there is no difference between the population variance and the sample variance.

3 0

3 years ago

The solution in the example is (2,-1). Explain what the graph of the system looks like

Alina [70]

This is what the graph system would look like

7 0

3 years ago