If the average (arithmetic mean ) of 2,7, and x is 12, what is the value of x?

Using the info given, solve for the missing value of the right triangle. Round each angle to the nearest degree, each length to

Svet_ta [12734]

Answer:

Step-by-step explanation:

The triangle provided is a right triangle. The length of the opposite side is 244 yards, and the adjacent side measures 119 yards. To find the hypotenuse, we would utilize the Pythagorean theorem. The formula can be written as

Hypotenuse^2 = opposite side^2 + adjacent side^2

Thus, Hypotenuse^2 = 244^2 + 119^2

Hypotenuse^2 = 59536 + 14161

Leading to Hypotenuse = √73697 = 271.5 yards.

cos θ = adjacent side/hypotenuse

cos θ = 119/271.5 = 0.4383

Calculating θ gives us θ = Cos^-1(0.4383) = 64 degrees

The remaining angle is

90 - 64 = 26 degrees

4 0

2 months ago

10.4.1 .WP The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of each brand at ran

tester [12383]

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] ± $t_{8;0.995}$ *(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!