Answer:
<h3>Therefore the sum if the series is 15.98!</h3>
The common ratio is 1/2 or 0.5 . If you multiply the current term by the the common ratio the the output will be the next term.
8⋅1/2=4
4⋅1/2=2
2⋅1/2=1 etc ...
because the absolute value of r is less than 1 we can use the following formula.
a/1−r where a is the first term and r is the common ratio
In our problem
a=8 and r=0.5
Substitute
8/1−0.5=8/0.5=16
The sum of this infinite geometric series is 16.
Also, another formula you can use that is guaranteed to work every time, no matter what, is:
Sn=a(r^n−1/r−1)
All the variables work the same way as above, and "n" is the number of terms in the series. So, say you wanted to find the sum of the first 10 terms and were to substitute everything in:
S10=8(0.5^10−1/0.5−1)
S10=15.984375
Therefore the sum if the series is 15.98!
Step-by-step explanation:
<h2>Hope it is helpful....</h2>
Solution :
In this case we have to use
for the goodness of fit.
Null hypothesis is :
Data follows the given distribution
Alternate hypothesis is :
Data do not follow the given distribution
The level of significance, 
The test statistics is given by :
Chi square = 
Here O is the observed frequencies
E is the expected frequencies
So we have, N = number of the categories = 4
df = degrees o freedom = N - 1
= 4 - 1 = 3
Critical value = 
Calculating the table for the test statistics are given as :
Category prop. O E 
A 0.2 14 20 1.80
C 0.3 28 30 0.13
M 0.1 6 10 1.60
P 0.4 52 40 3.60
Total 1 100 100 7.13
The test statics = chi square =
= 7.13
statistics = 7.13
P-value = 0.067767248
P -value > 
Therefore, we do not reject the
. There is sufficient evidence to conclude that the data follows the given distribution. So there is sufficient evidence to conclude the given claim is true.
2n+4
I really Hope it helps
Answer:
The expression for 4 less than x is: x - 4
The expression for 17 more than x is: x + 17
The expression for the product of 18 and x is: 18x
The expression for the quotient of x and 17 is: x/17
The expression for 70 less than x is: x - 70
Step-by-step explanation:
4 less than x
4 less than a number is the number subtracted by 4. So the expression is x - 4.
17 more than x
17 more than a number is the number added to 17. So the expression is x + 17.
the product of 18 and x
The product of two numbers a and b is a*b, so the product of 18 and x is 18*x = 18x
the quotient of x and 17
The quotient of two numbers a and b is a/b, so the quotient of x and 17 is x/17.
70 less than x
70 less than a number is the number subtracted by 70. So the expression is x - 70.
From the given information, the tallest player is: Dave.
<h3>Who is a player?</h3>
In sports, a player refers to an individual who takes part in a sports. It can be in football, rugby, badminton, lawn tennis, basketball, etc.
We can see from the above that Mike and Jim are faster and quicker shooters than Jason and Dave. Jim is the second fastest which means that Mike is the fastest. Since no person is the best (e.g. , tallest, quickest, best shooter) at more than one category, it then means that Dave is the tallest.
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