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klio [65]
3 years ago
7

(Picture) INFINITE SEQUENCES AND SERIES PLEASE HELP!!

Mathematics
1 answer:
mojhsa [17]3 years ago
5 0

Answer:

C) x=\frac{17}{33}

Step-by-step explanation:

0.51 repeating decimal

x= 0.51515151

multiply by 100 on both sides

100x = 51.515151.........

     x=    0.515151...............

--------------------------------------------(subtract)

   99x = 51

divide by 99 on both sides

x=\frac{51}{99}

divide both sides by 3

x=\frac{17}{33}


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PLEAS EHELP!!!!!’n EXTRA POINTS AND BRAINLIEST
vitfil [10]

Answer:

Graphing inequalities on a numberline:

38 > x

The point is directly on 38, the circle is hallow which means greater than or less than NOT or equal too. The arrow is pointing downwards signifying that 38 is greater than x.

10 ≤ x

This circle is filled in which means greater than or equal too or less than or equal too, in this case the arrow is pointing upwards showing that X is greater than or equal to 10.

28 ≤ X

The point is on 28 and the circle is filled in which means which means greater than or equal too or less than or equal too, in this case it is showing that x is greater than o r equal to 28 because the arrow is going up the numberline (upwards).

16 > x

This circle is NOT filled in which is hallow meaning that it is greater than or less than (also depending on where the arrow is pointing towards too). The point is on 16 and is showing the arrow going down which means 16 is greater than x.

6 0
3 years ago
Evan made origami cranes with red, blue, and yellow paper. The number of cranes in each color is the same. If there are 342 cran
Murrr4er [49]
114 is th answer ;) ;)
7 0
3 years ago
Read 2 more answers
Three sisters each purchase two dresses and a purse the purse costs 26.00 if the grand total was 205.50 how much did each dress
Oliga [24]
3 sisters bought 2 x 3 = 6 dress and and 1 x 3 = 3 purses.
3 sisters bought 6 dresses and and 3 purses.

Find 3 purses:
1 purse = $26
3 purses = $26 x 3 = $78

Find 6 dresses:
Total = $205.50 
6 dresses = $205.5 - $78
6 dresses = $127.50

Find 1 dress:
6 dresses = $127.50
6 dresses = $127.50 ÷ 6 
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Answer: $21.25



6 0
3 years ago
The function
Nat2105 [25]

Answer:

a) increase by 4%

b) $ 98.54

Step-by-step explanation:

The given function is

c(x) = 72 \times (1.04) ^{x}

We can rewrite this function as

c(x) = 72 \times (1 + 4\%) ^{x}

Therefore the cost of the chemical increase over time by 4%

b) We want to find how much an ounce of the chemical cost in 2018.

Since 2010 to 2018, 8 years have passed.

We substitute x=8 to get:

f(8) =72 {(1.04)}^{8}

f(8) =98.54

3 0
3 years ago
A research group is curious about their city’s participation in flu shot clinics. They suspect that there is a difference betwee
Kipish [7]

Answer:

t=\frac{(162-156)-0}{\sqrt{\frac{41^2}{22}+\frac{36^2}{20}}}}=0.505  

p_v =2*P(t_{40}>0.505)=0.61633  

Comparing the p value with the significance level \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, then the difference between the two groups is NOT significantly different.  

Step-by-step explanation:

Data given and notation

\bar X_{1}=162 represent the mean for sample of clinic attendees

\bar X_{2}=156 represent the mean for the sister city  

s_{1}=41 represent the sample standard deviation for 1  

s_{2}=36 represent the sample standard deviation for 2  

n_{1}=22 sample size for the group 2  

n_{2}=20 sample size for the group 2  

\alpha=0.05 Significance level provided

t would represent the statistic (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the difference in the population means, the system of hypothesis would be:  

Null hypothesis:\mu_{1}-\mu_{2}=0  

Alternative hypothesis:\mu_{1} - \mu_{2}\neq 0  

We don't have the population standard deviation's, so for this case is better apply a t test to compare means, and the statistic is given by:  

t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}} (1)  

And the degrees of freedom are given by df=n_1 +n_2 -2=22+20-2=40  

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.  

With the info given we can replace in formula (1) like this:  

t=\frac{(162-156)-0}{\sqrt{\frac{41^2}{22}+\frac{36^2}{20}}}}=0.505  

P value  

Since is a bilateral test the p value would be:  

p_v =2*P(t_{40}>0.505)=0.61633  

Comparing the p value with the significance level \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, then the difference between the two groups is NOT significantly different.  

3 0
3 years ago
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