10 * 6 = 60 by the time Zach joins so 125-60 = 65
Now 6 (lexie) +7 (zach) = 13 (together) and 65/13 = 5.
6*5 = 30 and 7*5 = 35. 35+30 = 65
Your answer is 5.
Answer:
21
Step-by-step explanation:
The contiguous U.S. consist of all states beside Alaska and Hawaii; therefore, there are 48 contiguous U.S. states. However, the ratio given to us only consists of 16 states [7 + 9 = 16]. If we need to expand the ratio, we multiply 16 by 3 to get 48. Thus, we also multiply each of the terms by 3, and the ratio becomes 21:27. Therefore, the number of contiguous U.S. states that border an ocean is 21.
Answer:
1) Increase the sample size
2) Decrease the confidence level
Step-by-step explanation:
The 95% confidence interval built for a sample size of 1100 adult Americans on how much they worked in previous week is:
42.7 to 44.5
We have to provide 2 recommendations on how to decrease the margin of Error. Margin of error is calculated as:

Here,
is the critical z-value which depends on the confidence level. Higher the confidence level, higher will be the value of critical z and vice versa.
is the population standard deviation, which will be a constant term and n is the sample size. Since n is in the denominator, increasing the value of n will decrease the value of Margin of Error.
Therefore, the 2 recommendations to decrease the Margin of error for the given case are:
- Increase the sample size and make it more than 1100
- Decrease the confidence level and make it lesser than 95%.
To determine the inverse of a function, we first write the parent function in terms of y. So, in this part the x would be isolated to one side of the equation. Then, with the new form of the parent function, we switch the x into y and y to x. The new function would be the inverse function. For the given function, we do as follows:
<span> y=-4/x + 1
y - 1 = -4/x
x ( y - 1 ) = -4
x = -4 / (y -1)
Replacing x into y and y into x,
</span>y = -4 / (x -1)
<span>Therefore, the inverse is y=-a/x-b where a = 4 and b = 1.</span>
The answer is 78. I'm pretty sure.