Answer:
Given the ordered pairs, the exponential growth function would be represented by f(x)=35(1.6)^x.
Step-by-step explanation:
Exponential growth functions are represented by the following equation: f(x)=ab^x, where 'a'=initial value; 'b'=rate of growth; 'x'=independent value or time. Given the points, we see that the values of 'x' increase by 1 each time and dividing two 'y' values (35/21.875; 56/35; 89.6/56) gives us a change of 1.6. Rate is the change in y/the change in x, or 1.5/1, which is the value of 'b'. When 'x' is equal to 0, the value of 'y' is 35, so this represents the initial value, or 'a'. Plugging in these values will give us the final equation f(x)=35(1.6)^x.
Answer
a. True
Step-by-step explanation:
Based on this survey we estimate that about 
of the college students smokes. And a 
confidence interval is ![[15.1\% ; 21.6\%]](https://tex.z-dn.net/?f=%5B15.1%5C%25%20%3B%2021.6%5C%25%5D)
. So we know that 
our estimative for the smoking rate is in the confidence interval with certainty. We also know the estimative for the smoking rate in the general population is 
. So we can write the two possible hypothesis:
Smoking rate is equal to .
Smoking rate is not equal to .
We will reject the null hypothesis 
if the estimate doesn't fall into the confidence interval for the college students smoking rate.
Since this condition holds we reject the null hypothesis. So with certainty we say that the smoking rate for the general population is different than the smoking rate for the college students.
You can answer this question in numerous ways but one simple way is by multiplying fractions.
<span>2/3 of 24 is also 2/3 of 24/1 </span>
<span>To get the answer, you must multiply 2/3 by 24/1 </span>
<span>To do this, you multiply the numerator (the top number) by the other numerator. That is, 2 x 24 . The answer is 48. </span>
<span>Then, multiply the denominators (the bottom numbers) by each other. That is, 3 x 1. The answer is 3. </span>
<span>The answer is 48/3. But you must continue simplifying. </span>
<span>What is 48 divided by 3? 16. </span>
<span>If you do not understand it that way, think of it in a simpler way. </span>
<span>Say there are 24 slices of pieces. </span>
<span>What is one third of those 24 slices? </span>
<span>24 divided by 3 = 8. </span>
<span>Now you want TWO thirds. So all you do is multiply 8 by 2. </span>
<span>That gives you 16.
</span>
I hope i helped, and, if so, please mark as brainliest :P
Answer:
Number of drink = 5
Number of pretzel = 9
Step-by-step explanation:
Given:
Cost of each drink = $4
Cost of each pretzel = $5
Total money = 65
Total number of drink and pretzel = 14
Find:
Number of drink and pretzel
Computation:
Number of drink = x
Number of pretzel = 14 - x
So,
x(4) + (14-x)5 = 65
4x + 70 - 5x = 65
x = 5
Number of drink = 5
Number of pretzel = 14 - x
Number of pretzel = 14 - 5 = 9
<em>Question 5</em>
Vertical angles are <u>congruent</u>. Therefore, 
. The sum of two supplementary angles equals 
.
Therefore, 
<em>Question 6</em>
<em>Question 7</em>
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<em>Question 8</em>
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