Two major computer companies manufacture and sell computer accessories. The prices of 5 randomly selected accessories are listed below:

Computer Accessory Price Data
Computer Accessory Macrohard Price ($) Pear Computer Price ($)
keyboard 75.29 56.12
mouse 51.69 46.83
speaker 114.37 107.23
modem 107.50 107.07
monitor 443.99 419.84

The quality of the computer accessories for both companies are practically the same because both companies purchase the parts from the same wholesaler. Since the market for these accessories is very competitive, the main reason why one product would be more expensive than another would be due to brand name and the advertizing related to it. A computer periodical claims that Macrohard products are generally more expensive than Pear Computer products. You plan to do a hypothesis test on this claim where:

H0: Macrohard accessories are equal in price to or cheaper than Pear Computer productsHa: Macrohard accessories are more expensive
You may find this Student's t distribution table useful in answering the following questions. You may assume that the differences in prices are normally distributed. Calculate the test statistic (t) that is best suited in conducting this hypothesis test. Give your answer to 2 decimal places.

In δabc shown below, ∠bac is congruent to ∠bca: triangle abc, where angles a and c are congruent given: base ∠bac and ∠acb are congruent. prove: δabc is an isosceles triangle. when completed (fill in the blanks), the following paragraph proves that line segment ab is congruent to line segment bc making δabc an isosceles triangle. (4 points) construct a perpendicular bisector from point b to line segment ac . label the point of intersection between this perpendicular bisector and line segment ac as point d: m∠bda and m∠bdc is 90° by the definition of a perpendicular bisector. ∠bda is congruent to ∠bdc by the definition of congruent angles. line segment ad is congruent to line segment dc by by the definition of a perpendicular bisector. δbad is congruent to δbcd by the line segment ab is congruent to line segment bc because consequently, δabc is isosceles by definition of an isosceles triangle. 1. corresponding parts of congruent triangles are congruent (cpctc) 2. the definition of a perpendicular bisector 1. the definition of a perpendicular bisector 2. the definition of congruent angles 1. the definition of congruent angles 2. the definition of a perpendicular bisector 1. angle-side-angle (asa) postulate 2. corresponding parts of congruent triangles are congruent (cpctc)

Given: ab ≅ bc and ao ≅ oc ok − angle bisector of ∠boc find: m∠aok

The first triangle is dilated to form the second triangle. select true or false for each statement. statement true false the scale factor is 0.625. the scale factor is 1.6. a right triangle with a side length of .5. an arrow points to a larger right triangle with a side length of .8