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antoniya [11.8K]
3 years ago
5

Plzzz Help! Determine the recursive function that defines the sequence.

Mathematics
1 answer:
yarga [219]3 years ago
6 0

Answer:

A

Step-by-step explanation:

The recursive rule allows any term to be found by multiplying the previous term by the common ratio r

Here r = \frac{a_{2} }{a_{1} } = \frac{20}{4} = 5

Then

f(n) = 5 . f(n - 1) , for n ≥ 2 → A

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What is the algbraic expression for <br> 2(x - 7) + 10
Step2247 [10]

Answer:

Two times the difference of x and seven plus ten

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
To cut a lawn, Allan charges a fee of $15 for his equipment and $8.50 per hour spent cutting a lawn. Taylor charges a fee of $12
777dan777 [17]

Answer:


Step-by-step explanation:

Let y be the total charge and x no of hours spent for cutting the lawn,

Then for Allan we have the equation as

y = 8.50x+15

SInce 15 is the fixed charge and 8.50 is charged per hour we get the above equation for Allan.

Next similarly for Taylor, we have fixed charges 12 and variale 9.25

y =9.25x+12

When Taylor total charges is greater than Allan's total charge

we have 9.25x+12>8.5x+15

Simplify to get

0.75x>3

Or x>4

Whenever x i.e. no of hours exceed 4, Taylor charges will be greater than that of Allan

5 0
3 years ago
The mayor of a town has proposed a plan for the annexation of a new bridge. A political study took a sample of 1000 voters in th
garri49 [273]

Answer:

z=\frac{0.42 -0.39}{\sqrt{\frac{0.39(1-0.39)}{1000}}}=1.945  

p_v =P(Z>1.945)=0.0259  

If we compare the p value obtained with the significance level given \alpha=0.02 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 2% of significance the proportion of residents who favored annexation is not significantly higher than 0.39.  

Step-by-step explanation:

1) Data given and notation  

n=1000 represent the random sample taken

\hat p=0.42 estimated proportion of residents who favored annexation

p_o=0.39 is the value that we want to test

\alpha=0.02 represent the significance level

Confidence=98% or 0.98

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the proportion is higher than 0.39:  

Null hypothesis:p\leq 0.39  

Alternative hypothesis:p > 0.39  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.42 -0.39}{\sqrt{\frac{0.39(1-0.39)}{1000}}}=1.945  

4) Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.02. The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(Z>1.945)=0.0259  

If we compare the p value obtained with the significance level given \alpha=0.02 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 2% of significance the proportion of residents who favored annexation is not significantly higher than 0.39.  

4 0
3 years ago
I need to find Y=Mx+b. I found M but i forgot how to find B. Help
Serggg [28]
B is just the y-intercept or where the line goes over the y axis so it would be 50
5 0
3 years ago
Which number could be multiplied by each side of the equation to produce the equivalent equation x = 10?
Liono4ka [1.6K]
5/4 could be multiplied by each side for x=10. D is your answer.
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3 years ago
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