Answer:
d. Yes. All conditions for inference have been met.
Step-by-step explanation:
A study was conducted to investigate the effectiveness of a new drug whether it could significantly reduce pan in people with arthritis.
From a group of 500 people with arthritis 250 were randomly assigned to receive the drug (group 1) and the remaining people were assigned a placebo (group 2).
It is given that the people in the study were selected randomly.
The pooled proportion is given by
Pe = no. of people who reported pain relief in both groups/total number of people
Pe = (225 + 150)/500
Pe = 375/500
Pe = 0.75
Now let us check the condition np ≥ 10
250*0.75
187.5 ≥ 10
Satisfied
Now let us check the condition n(1 - p) ≥ 10
250(1 - 0.75)
250*0.25
62.5 > 10
Satisfied
Therefore, all conditions for inference have been met option d is the correct option.
Given that △XYZ is mapped to △X'Y'Z' using the rules (x, y)→(x+5, y−3) followed by (x, y)→(−x, −y) .
We know that (x,y) => (x+h,y+k) type operation represents translation so rule (x, y)→(x+5, y−3) will cause translation.
We know that (x,y) => (-x,-y) type operation represents rotation about origin so rule (x, y)→(−x, −y) will cause rotation.
So combining both results and comparing with given choices. we find that only 1st choice "△XYZ is congruent to △X'Y'Z' because the rules represent a translation followed by a rotation, which is a sequence of rigid motions."
is correct.
Answer:
144 square inches.
Step-by-step explanation:
4*12*3=144
Answer:
The proportion that gives the cost (c) if you buy 6 jars of jellyfish jelly =
Cost(c)= 1/8($15.68 × 6)
The cost (c) if you buy 6 jars of jellyfish jelly is $11.76
Step-by-step explanation:
There are 8 jars of jellyfish jelly for $15.68. Write a proportion that gives the cost (c) if you buy 6 jars of jellyfish jelly.
The proportion is given as:
Number of jars of Jellyfish/Cost of the Number of jar of Jellyfish
Hence:
8/$15.68 = 6/c
We Cross Multiply
8 × c = $15.68 × 6
c = $15.68 × 6/8
c = $11.76
Therefore,
The proportion that gives the cost (c) if you buy 6 jars of jellyfish jelly =
Cost(c) = 1/8($15.68 × 6)
The cost (c) if you buy 6 jars of jellyfish jelly is $11.76
