Answer:
Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient.
Step-by-step explanation:
Judging by the first sentence, there are 800 sweaters, 150 of which are red. Hence 800 - 150 = 650 sweaters are not red.
Statement (1) mentions that 320 of the sweaters at the store are neither red nor made of pure wool. This implies that of the remaining 650 non-red sweaters, 320 of them are not made of pure wool. It tells us then that there are 650 - 320 = 330 sweaters that are not red and that are not pure wool. So, it does not give information about red sweaters at all, whether pure wool or not.
Statement (2) says 100 of the red sweaters at the store are not made of pure wool. This means out of all 150 red sweaters, 100 of them are not made of pure wool. Then we have that 150 - 100 = 50 red sweaters are made of pure wool. This is the response to the question asked.
Hence, we see that statement (2) alone is enough, while statement (1) alone is not.
Answer :
6 : Margaret has 30 50-cent coins and 26 10-cent coins
let 'x' represent the number of 50-cent coins, then '56-x' represents the number of 10-cent coins
17.60 = 0.5x + 0.1(56-x)
solving for 'x' we have x=30
56-30 = 26
7 : Total money = $29.40
mich money = m dollar,
amy money = (3/4)m dollars,
Total = m + 3m/4 = 29.40,
4m+3m = 4*29.4,
7m = 117.6,
m = 117.6/7 = 16.8
Hence,
Michelle's money = $16.80
Amy money = $12.60
8 : (a) The amount of milk in a carton is normally distributed with a mean of 260 millilitres (mL) and a standard deviation of 8 mL. Every milk carton is labelled with the serving size as 250 mL. (i) What is the probability that a randomly selected carton has more than the labelled serving? [3 marks) (ii) Determine the amount of milk in a carton for which only 7.08% of cartons fall below this amount. [3 marks (iii) Find an interval around the mean y = 260mL such that 95% of all milk cartons fall within this interval. (5 marks)
9 : a=3, b=5
So b+2 = a+4 = 4a-b
b=a+2
3a=b+4
b=2a-1
Hence
2a-1=a+2
10 : original dimensions of rectangle, length = 18cm and width = 10cm
Let length and width = L and W.
from statement "A rectangle has perimeter 56 cm. If 4 cm is taken from the length and added to the width, the rectangle becomes a square", you can deduce
2L + 2W = 56 ( its sides make up its perimeter )
L - 4 = W + 4
L = W + 8
sub L = W + 8 into 2L + 2W = 56
2 ( W + 8 ) + 2W = 56
2W + 16 + 2W = 56
4W = 40
W = 10
sub W = 10 into L = W + 8
L = 10 + 8 = 18
Answer:
a.
Step-by-step explanation:
Not defined
May be iylt help you
Answer:
(0.059, 0.133)
Step-by-step explanation:
Sample size = n = 250
Number of units which failed the test = x = 24
Proportion of units which failed the test = 
= 0.096
Proportion of units which did not fail the test = q = 1 - p = 1 - 0.096 = 0.904
Confidence level = 95%
z-value for the confidence level = z = 1.96
The true proportion of the components that fail to meet the specification would be:
Using the values, we get:
Thus, 95% confidence interval estimate for the true proportion of components, p, that fail to meet the specifications is (0.059, 0.133)
Answer:
The answer is C. 904.32 in^3.
Step-by-step explanation:
To find the volume of a sphere with a radius of 6 in, start by using the formula for a sphere, which is V=
. However, for this formula instead of using (), 3.14 will be used.
Now, plug the radius into the formula, and solve for V.
Finally, the answer will be 904.32 in^3.
