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aalyn [17]
3 years ago
14

1) 350 is 70% of what number?

Mathematics
1 answer:
Tatiana [17]3 years ago
7 0
4) 28 this is the right answer

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Part 1!
kondaur [170]
1.  We have to find the fifth term of f(n) = 7 - 4(n - 1). 
That means x = 5. Substitute 5 into the equation for x. 
f(n) = 7 - 4(5 - 1) 
Subtract 5 - 1. 
f(n) = 7 - 4(4) 
Multiply 4 by 4. 
f(n) = 7 - 16 
Subtract 16 from 7. 
f(n) = -9 
The answer is D. 

2. Since we have to find the first 4 terms, we have to solve for x = 1, 2, 3, & 4. 
Multiply 1, 2, 3, and 4 by 6. We now have: 
f(x) = 6 - 25   f(x) = 12 - 25   f(x) = 18 - 25   f(x) = 24 - 25 
Subtract 25 from the first term: 6, 12, 18, and 24. 
f(x) = -19   f(x) = -13   f(x) = -7   f(x) = -1 
The answer is C. 

3. Now, we have to find the first 3 terms of f(x) = 10(2)^x.  So x is 1, 2, & 3. 
Raise 2 to the powers of 1, 2, and 3. The equations are now: 
f(x) = 10(2)   f(x) = 10(4)   f(x) = 10(8) 
Then multiply 10 by the three terms: 2, 4, and 8. 
f(x) = 20   f(x) = 40   f(x) = 80 
The answer is A. 

4. Find the 21st term of f(n) = 2 + 9(n - 1). Substitute 21 for n. 
f(n) = 2 + 9(21 - 1) 
Subtract 1 from 21. 
f(n) = 2 + 9(20) 
Multiply 9 by 20. 
f(n) = 2 + 180
Add 2 to 180. 
f(n) = 182 
The answer is B. 

5. Which sequence is described by f(n) = 2(3)^x-5. 
This is the only one which I'm not sure how to solve. Since I don't know, I won't answer it because I don't want to give you the wrong answer to the question, sorry about that. 

6. The ninth term in f(n) = 384(1/2)^n-1. Put 9 in for n & subtract 1 from 9. 
f(n) = 384(1/2)^8 
Raise 1/2 to the power of 8.
f(n) = 384(1/256) 
Multiply 1/256 by 384. 
f(n) = 384/256 
Reduce the fraction & make it a mixed number. 
f(n) = 1 1/2 

Hope this helped!
5 0
3 years ago
A simple random sample of size n=250 individuals who are currently employed is asked if they work at home at least once per week
Levart [38]

Answer:

99% confidence interval for the population proportion of employed individuals is [0.104 , 0.224].

Step-by-step explanation:

We are given that a simple random sample of size n=250 individuals who are currently employed is asked if they work at home at least once per week.

Of the 250 employed individuals​ surveyed, 41 responded that they did work at home at least once per week.

Firstly, the pivotal quantity for 99% confidence interval for the population proportion is given by;

                              P.Q. = \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of individuals who work at home at least once per week = \frac{41}{250} = 0.164

           n = sample of individuals surveyed = 250

<em>Here for constructing 99% confidence interval we have used One-sample z proportion statistics.</em>

So, 99% confidence interval for the population proportion, p is ;

P(-2.5758 < N(0,1) < 2.5758) = 0.99  {As the critical value of z at 0.5%

                                             level of significance are -2.5758 & 2.5758}  

P(-2.5758 < \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < 2.5758) = 0.99

P( -2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < {\hat p-p} < 2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.99

P( \hat p-2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < p < \hat p+2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.99

<em>99% confidence interval for p</em> = [\hat p-2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } , \hat p+2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }]

= [ 0.164-2.5758 \times {\sqrt{\frac{0.164(1-0.164)}{250} } } , 0.164+2.5758 \times {\sqrt{\frac{0.164(1-0.164)}{250} } } ]

 = [0.104 , 0.224]

Therefore, 99% confidence interval for the population proportion of employed individuals who work at home at least once per week is [0.104 , 0.224].

7 0
2 years ago
Which sentence best reflects a theme in, "The Piece of String" by Guy de Maupassant? (PLZZZ HELPPP)
Mariulka [41]

The answer is

(c) innocence is hard to prove without trust

Hope this helps :3

8 0
3 years ago
Read 2 more answers
Dade County Public Schools
deff fn [24]
Thirty-four thousandths
4 0
3 years ago
Use the distributive property to write an expression equivalent to 5×(3+4)​
Lubov Fominskaja [6]
The answer is 5x times 7
8 0
3 years ago
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