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tankabanditka [31]
3 years ago
12

The table shows the total number of student applications to universities in a particular state over a period of 12 semesters. St

ates base their decisions on data like this. Suppose they decide that if fewer than 200,000 students apply during 6 or more semesters, the state will make a special effort to promote university education. Using this data, what is the population proportion of semesters for which the number of student applications is less than 200,000?
Mathematics
1 answer:
alexira [117]3 years ago
5 0
<span>A) there is insufficient data to answer this question 
</span><span>The answer is A because there REALLY is insufficient data to answer this question</span>
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For an arithmetic sequence, a35=57. If the common difference is 5. Find a1 and the sum of the first 61 terms.
Flauer [41]

 

\displaystyle\bf\\a_{35}=57\\r=5\\----\\a_1=?\\S_{61}=?\\----\\Solve:\\1)\\a_1=a_{35}-(35-1)\times r=57-34\times 5=57-170=-113\\\boxed{\bf a_1=-113}\\\\

.

\displaystyle\bf\\2)\\A_{61}=a_1+(61-1)\times r=-113+60\times5=-113+300=187\\\\S_{61}=(-113)+(-108)+(-103)+...+(-8)+(-3)+2+7+12+...+187\\\\S_{61}=SA+SB\\\\SA=(-113)+(-108)+(-103)+...+(-8)+(-3)=-(3+8+103+108+113)\\\\n=\frac{113-8}{5}+1=\frac{105}{5}+1=21+1=22~terms\\SA=-\Big( \frac{n(113+3)}{2} \Big)=-\Big( \frac{22\times116}{2} \Big)=-11\times116 =-1276

.

\displaystyle\bf\\SB=2+7+12+...+187\\\\n=\frac{187-2}{5}+1=\frac{185}{5}+1=37+1=38~terms\\\\SB=\frac{n(187+2)}{2}=\frac{38\times189}{2}=19\times189=3591\\\\S_{61}=SA+SB=-1276+3591=2315\\\\\boxed{\bf S_{61}=2315}    

 

 

8 0
3 years ago
Simplify 3x-2+5x+9 pls
vfiekz [6]

Answer:

8x+7

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Which of these expressions can be used to calculate the monthly payment for
skad [1K]

Answer:

m=(r/n)+0.114r

Step-by-step explanation:

m=monthly payment

r=remaining amount

n=# of months remaining

3 0
4 years ago
Please help me <br> can u explain how to do this
Ghella [55]

Answer:

x=41

Step-by-step explanation:

so since this is a right triangle you can use the Pythagorean Theorem to find the missing side. the two sides you know are 'a' and 'b' and the missing side is 'c'. the theorem says that:

a^2+b^2=c^2

so:

9^2 +40^2=c^2

solve for the exponents:

81 +1600=c^2

1681=c^2

and now, since 1681 is the missing side's length squared, we must find the square root of 1681, which is 41

hope this helps :)

7 0
3 years ago
Read 2 more answers
At pizza express it takes 6 cups of cheese to make 15 pizzas. At perfect pizza it takes 4 cups of cheese to make 6 pizzas. If th
rodikova [14]

Pizza Express has a larger constant of proportionality than Perfect Pizzas because <u><em>1.6 > 1.5</em></u>

15/6        6/4

<em>   Simplify</em>

<u>5/3    >    3/2</u>

<em>PE: 5/3 or 1.6</em>

<em>PP: 3/2 or 1.5</em>

<em />

I had this on my math test

4 0
4 years ago
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