Answer:
19 to 21
Step-by-step explanation:
Head table is for 6 attendants
158 to 174 - 6 attendants
152 to 168 people for round tables
each round table can sit 8 guests
so, 152/8 168/8
19 to 21
5 - x = 4
Subtract x from both sides.
5 - x + x = 4 + x
5 = 4 + x
Subtract 4 from both sides.
5 - 4 = 4 + x - 4
Hence, the answer:
x = 1
the numbers are 30x ,like 30*2=60
Answer:
20 +/- $6.74
= ( $13.26, $26.74)
The 90% confidence interval for the difference in average amounts spent on textbooks (math majors - English majors) is ( $13.26, $26.74)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x1-x2 +/- margin of error
x1-x2 +/- z(√(r1^2/n1 + r2^2/n2)
Given that;
Mean x1 = $200
x2 = $180
Standard deviation r1 = $22.50
r2 = $18.30
Number of samples n1 = 60
n2 = 40
Confidence interval = 90%
z(at 90% confidence) = 1.645
Substituting the values we have;
$200-$180 +/-1.645(√(22.5^2/60 +18.3^2/40)
$20 +/- 6.744449847374
$20 +/- $6.74
= ( $13.26, $26.74)
The 90% confidence interval for the difference in average amounts spent on textbooks (math majors - English majors) is ( $13.26, $26.74)
Answer:
m=3
Step-by-step explanation:
Perpendicular lines intersect at 90 degrees or perpendicular angles. As such, their slopes are related. The slope of each line is the negative reciprocal of the other. For the equation, 
. The slope or 
. This means the slope of the other line will be the negative reciprocal which is -(-3)=3
