Answer:
1.length = 15, width = 12, height = 13
2. 13 × 12 × 15 = 2340
Step-by-step explanation:
3 ÷ 1/4 = 12
3 3/4 = 15/4
15/4 ÷ 1/4 = 15
3 1/4 ÷ 1/4 = 13
length = 15
width = 12
height = 13
13 × 12 × 15 = 2340
Answer:
a 0.5
b 0.4831
c 0.4354 < P < 0.53008
Step-by-step explanation:
Given that :
Probability (P) of a head or a tail when a coin is being tossed or flipped = 1/2 = 0.5
Sample size (n) = 296
Selected sample (X) = 143
a) Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses?
The proportion of correct responses that would be expected if the touch therapists made random guesses is 0.5
b) Using Emily's sample results, what is the best point estimate of the therapists' success rate?
Point estimate 
= 
= 0.4831
c) Using Emily's sample results, construct a 90% confidence interval estimate of the proportion of correct responses made by touch therapists.
The
for 90% is 1.645
Using the formula P" -E < P < P" + E
where E = margin of error : 



= 0.0477
∴ P" -E < P < P" + E
= 0.4831 - 0.0477 < P < 0.4831 + 0.0477
= 0.4354 < P < 0.53008
Answer:

Step-by-step explanation:
The complete question in the attached figure
step 1
Find the measure of angle QPZ
we kno that
---> by supplementary angles (form a linear pair)
we have
---> given value
substitute



step 2
Find the measure of angle YSV
we know that
When two lines are crossed by another line, <em><u>Alternate Exterior Angles</u></em> are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal. If the two lines are parallel then the alternate exterior angles are congruent.
In this problem
The transversal is the line XY
The two parallel lines are RQ and VW
therefore
---> by alternate exterior angle
we have

therefore

1) 2x + 9 = 2x -5
9 ≠ -5 ; No solution
2) 2x- 1 = x + 3
x = 4; One solution x = 4
3) x + 2 = x + 2
0 = 0; Identity (or all real numbers)