A compact disc is designed to last an average of 4 years with a standard deviation of 0.8 years. What is the probability that a

Let the price of a chicken be represented as x and the price of a duck as y. The equations established are 50x + 30y = 550 (1) and 44x + 36y = 532 (2). By manipulating (1) with a factor of 6, we have 300x + 180y = 3,300 (3). Applying a factor of 5 to (2) results in 220x + 180y = 2,660 (4). Then, by subtracting (4) from (3), we find that 80x = 640, leading to x = 8. Substituting the value of x back into (1), we find 50(8) + 30y = 550, which simplifies to 30y = 150, and ultimately y = 5. Therefore, the costs are $8 for a chicken and $5 for a duck.

7 x 10^1 = 70
7 x 10^2 = 700
7 x 10^3 = 7000

ratio 5:2

105, ___

5x = 105 → x = 21

2x = ____ → 2(21) = 42

Result: 42°

The answer is 4 packs of medium cups and 6 packs of large cups.

Hello! You need to calculate a 99% confidence interval for the difference in mean lifespan between two tire brands. Each tested car was assigned one tire from each brand randomly on the rear wheels, allowing for paired sample analysis.       Brand 1  Brand 2  X₁-X₂      car 1:  36,925;  34,318;  2.607      car 2:  45,300;  42,280;  3.020      car 3:  36,240;  35,500;  0.740      car 4:  32,100;  31,950;  0.150      car 5:  37,210;  38,015;  -0.0805      car 6:  48,360;  47,800;  1.160      car 7:  38,200;  37,810;  0.390      car 8:  33,500;  33,215;  0.285      n= 8 The study variable is defined as Xd= X₁-X₂, where X₁ represents the tire lifespan (in km) from Brand 1 and X₂ represents Brand 2. Thus, Xd is the difference in tire lifespan. Xd~N(μd;δd²) (normality test p-value is 0.4640). For calculating the confidence interval, the best statistic is the Student's t using the following formula: t= (xd[bar] - μd)/(Sd/√n) ~t₍ₙ₋₁₎ sample mean: xd[bar]= 0.94 standard deviation: Sd= 1.29 = 3.355 xd[bar] ± *(Sd/√n) ⇒ 0.94 ± 3.355*(1.29/√8) [-0.65;2.54]km. The CI can be compared to bilateral hypothesis testing: H₀:μd=0 H₁:μd≠0 using significance level of 0.01. Since the confidence interval includes zero, we do not reject the null hypothesis, indicating no significant difference between the tire brands. Hope you have a fantastic day!