Work out ( 8x10 -3) x(2x10 -4) standard form

The accurate selections are: 1. For both families, the graph representing the connection between the number of pizzas (x) and the amount of slices (y) intersects at the origin (0, 0) and forms a straight line. 2. If the Wilson family orders 3 large pizzas from the same pizza shop as the Hernandez family, they will have a greater number of slices than the Hernandez family once the pizzas are sliced. The equations for the relationships between total slices (y) and pizzas ordered (x) are as follows: y = a × x, where 'a' indicates slices per pizza. For the Hernandez family, we have y = 24 when x = 3, resulting in a = 24/3 = 8 slices per pizza, producing the equation y = 8 × x. For the Wilson family, the relationship is represented by y = 10 × x. When both families’ equations are plotted, the result is straight-line graphs with a y-intercept of 0, meaning they pass through (0, 0). Thus, if the Wilsons order 3 large pizzas, they will have y = 10 × 3 = 30 slices, exceeding the Hernandez family's 24 slices.

Response: An "exponential growth" demonstrates a pattern where growth starts slowly and accelerates over time.

"Logarithmic growth" behaves inversely; it initially shows rapid increase, followed by a deceleration.

In this context, we are considering decays: The decays represent the opposite of growths. An "logarithmic decay" begins slowly before speeding up, while an "exponential decay" quickly decreases at first and gradually slows afterward.

Thus, the equation modeling the temperature drop of the hot tea over time is an "exponential decay", described in the form T(x) = T₀, where T₀ stands for the initial temperature, t is time, and k is a constant.

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!