1) the mean cost of a steak, broccoli, and ride at the grocery store is $13.04. a sample of 100 restaurants had a mean price of $12.75 and a standard deviation of $2 for the same meal. run a hypothesis test to determine if it is cheaper to eat at a restaurant than to cook the meal yourself!

Since p >0.05 at 5% significance level we reject that it is cheaper to eat at a restaurant than to cook the meal yourself!

Step-by-step explanation:

Given that the mean cost of a steak, broccoli, and ride at the grocery store is $13.04.

Sample size n = 100

Sample mean =

Std error of sample =

(Left tailed test)

Mean difference =

Test statistic = t = mean diff/std error

=

p value one tailed =0.075

Since p >0.05 at 5% significance level we reject that it is cheaper to eat at a restaurant than to cook the meal yourself!

42.4

step-by-step explanation:

convert to decimal

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc