Answer:
15 answers
Step-by-step explanation:
To solve this question we need to set up an equation.
Let's name the number of incorrect answers x.
<u>We can set up an equation that's essentially:</u>
(Points for correct answer)*(number of correct answers)+(points for incorrect answer)*(number of incorrect answers)=final score
When we plug in our numbers and variables it looks like this:
5(3)+(-2x)=-15
Simplify
15-2x=-15
Subtract 15 from both sides
-2x=-30
Divide both sides by -2
x=15
This means Smitha attempted 15 wrong answers, and that there were 18 questions in total.
Answer: 6 on the extreme left has the place value 6000; the next 6 has the value 600; the next, 60; and the last, 6. The numeral for every whole number stands for a sum. 364 = 3 Hundreds + 6 Tens + 4 Ones. Hope this helps!
Step-by-step explanation:
Answer: D) 0.438 < p < 0.505
Step-by-step explanation:
We know that the confidence interval for population proportion is given by :-
![\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%5Cpm%20z%5E%2A%5Csqrt%7B%5Cdfrac%7B%5Chat%7Bp%7D%281-%5Chat%7Bp%7D%29%7D%7Bn%7D%7D)
, where n= sample size
= Sample proportion.
z* = critical value.
Given : A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature.
i.e. n= 865
![\hat{p}=\dfrac{408}{865}\approx0.4717](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D%5Cdfrac%7B408%7D%7B865%7D%5Capprox0.4717)
Two-tailed critical avlue for 95% confidence interval : z* = 1.96
Then, the 95 % confidence interval for the true proportion of all voters in the state who favor approval will be :-
![0.4717\pm (1.96)\sqrt{\dfrac{0.4717(1-0.4717)}{865}}\\\\\approx0.4717\pm 0.03327\\\\=(0.4717-0.03327,\ 0.4717+0.03327)=(0.43843,\ 0.50497)\approx(0.438,\ 0.505)](https://tex.z-dn.net/?f=0.4717%5Cpm%20%281.96%29%5Csqrt%7B%5Cdfrac%7B0.4717%281-0.4717%29%7D%7B865%7D%7D%5C%5C%5C%5C%5Capprox0.4717%5Cpm%200.03327%5C%5C%5C%5C%3D%280.4717-0.03327%2C%5C%200.4717%2B0.03327%29%3D%280.43843%2C%5C%200.50497%29%5Capprox%280.438%2C%5C%200.505%29)
Thus, the required 95% confidence interval : (0.438, 0.505)
Hence, the correct answer is D) 0.438 < p < 0.505
The unit cost decreases the more you buy at once. 1.10/1 = $1.10 you're paying $1.10 per 1. 1.98/2 = $ .99 you're paying $.99 per 1 2.89/3 = $.96 you're paying $.96 per 1. When you buy 9 you're paying less per 1 than you are when you buy 1