Answer:
The mean of the combined group is 76.67 ≈ 77
Step-by-step explanation:
- The sum of the grades in Tom's group is 20×70 = 1400
- The sum of grades in Alice's group is 10×90=900
- The sum of gradees in the combined group is =1400+900=2300
- Then the mean grade of the combined group is
where
- 2300 is the sum of the all grades in the combined group
- 30 is the total number of people in the group
Answer:
31 customers
Step-by-step explanation:
First, find the percentage of customers who wore a large. This is 26/(26 + 52), or 1/3 of the customers. Take 1/3 of the new customers, and 1/3 of 93 is 31. 31 customers will wear a size large.
Hopefully this helps! Let me know if you have any questions
Answer:
A) X + Y = 12
B) 10Y + x = 10x + Y -18
B) 9Y = 9x -18 multiplying A) by -9
A) -9Y = 9x - 72 adding A and B we get
0 = 18x -90
x = 5
The number is 75
Double-Check
7 + 5 = 12
75 -57 = 18
Step-by-step explanation:
Answer:
a) .033 b) .4678 c) 100
Step-by-step explanation:
Distribution of miraculin produced is normal. To answer question we need to find the z-score of 100g, 110g and 120g miraculin
General formula for z score is given by
z=
where
- X is the miraculin produced (120,110,100)
- M is the mean miraculin produced for a partucilar tomato plant, which is 105.3
- s is the standard deviation of the sample, which is 8.0
a)
z-score for 120 g miraculin is 
=1.8375 then
P(x > 120) = P(z>1.8375) = 0.033
b)
z-score for 110 g miraculin is 
= 0.5875
z-score for 100 g miraculin is 
= -0,6625
P(100 < x < 110) = P(x>100) - P(x>110) =0.7462 - 0,2784 = 0.4678
c)
if P(x < a) = 0.25 then corresponding z score for a is -0.6745. From the above formula we can calculate a:
=-0.6625 which gives a= 100
Answer:
48 degrees
Step-by-step explanation:
Angle 2 is a right angle.
Right angles are 90 degrees.
A line is 180 degrees.
Angle 1, 5, and 2 form a line.
180-90=90
That means that Angles 1 and 5 add up to 90 degrees.
We know that Angle 3 is 42 degrees.
Angle 3 and 5 are Vertical angles.
Vertical angles are always congruent.
This means that Angle 5 is also 42 degrees.
As we discussed earlier, Angles 1 and 5 are complementary. (Add up to 90 degrees)
42+x=90
Subtract 42 from both sides.
x=48
m<1=48
