Box 1) (LxW) 20x6=120
box 2) (LxW) 15x4=60
box 1 cost) (size of box x price of box) 120x1.25=150
box 2 cost) (size of box x price of box) 60x1.25=75
subtract 150 and 75 to get 75
answer: the company is saving $75 by choosing to make 50 of box 2 instead of 50 of box 1
hope this makes sense comment if you need more explanation
Answer: (0.8115, 0.8645)
Step-by-step explanation:
Let p be the proportion of people who leave one space after a period.
Given: Sample size : n= 525
Number of people responded that they leave one space. =440
i.e. sample proportion: ![\hat{p}=\dfrac{440}{525}\approx0.838](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D%5Cdfrac%7B440%7D%7B525%7D%5Capprox0.838)
z-score for 90% confidence level : 1.645
Formula to find the confidence interval :
![\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)
![0.838\pm (1.645)\sqrt{\dfrac{0.838(1-0.838)}{525}}\\\\=0.838\pm (1.645)\sqrt{0.00025858285}\\\\=0.838\pm (1.645)(0.01608)\\\\= 0.838\pm0.0265\\\\=(0.838-0.0265,\ 0.838+0.0265)\\\\=(0.8115,\ 0.8645)](https://tex.z-dn.net/?f=0.838%5Cpm%20%281.645%29%5Csqrt%7B%5Cdfrac%7B0.838%281-0.838%29%7D%7B525%7D%7D%5C%5C%5C%5C%3D0.838%5Cpm%20%281.645%29%5Csqrt%7B0.00025858285%7D%5C%5C%5C%5C%3D0.838%5Cpm%20%281.645%29%280.01608%29%5C%5C%5C%5C%3D%200.838%5Cpm0.0265%5C%5C%5C%5C%3D%280.838-0.0265%2C%5C%200.838%2B0.0265%29%5C%5C%5C%5C%3D%280.8115%2C%5C%200.8645%29)
Hence, a 90% confidence interval for the proportion of people who leave one space after a period: (0.8115, 0.8645)
Answer:
41.1 feet of ribbon was leftover
(fraction form: 41 1/10)
Step-by-step explanation:
122 1/2 = 122.5
32 2/5 = 32 4/10 = 32.4
122.5 x 0.4 = 49
122.5 - 49 = 73.5
73.52 - 32.4 = 41.1
41.1
To solve this problem, we are going to use the percent proportion, a/b = p/100, where a is the part of a number b, the whole, and p is the percentage out of 100.
When we fill in our known integers into this equation, we get
21.12 / b = 25.6 / 100
Next, to simplify this equation, we should use cross products (means - extremes products theorem). This means multiplying the numerator of one fraction and the denominator of the other fraction and setting them equal to one another.
21.12(100)=25.6(b)
When we multiply, you get
2112 = 25.6b
Finally, we divide both sides by 25.6, to get our variable b, alone, and without a coefficient.
82.5 = b
Therefore, 25.6% of the number 82.5 is 21.12.
Answer:
I can't drag duder.
Step-by-step explanation: