Answer:
38.59% probability that inflation rate will be below 1.9% in 2019
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

If the annual inflation rate is normally distributed, what is the probability that inflation rate will be below 1.9% in 2019?
This is the pvalue of Z when X = 1.9. So



has a pvalue of 0.3859
38.59% probability that inflation rate will be below 1.9% in 2019
She is incorrect, her statement comes with no solution.
x = 
multiply all terms on both sides of the equation by the lowest common multiple of 3 and 8, that is 24
24 ×
= 24 ×
+ 2 × 24
16x = 3(x - 1) + 48
16x = 3x - 3 + 48
16x = 3x + 45
subtract 3x from both sides
16x - 3x = 45
13x = 45
divide both sides by 13
x = 
Answer:
For each player:
Headbands = 11.67 inches of fabric
Wristbands = 9.31 inches of fabric
Step-by-step explanation:
Shauna is making accessories for the soccer team
For Headbands
She uses 513.48 inches of fabric on headbands for 40 player and 4 coaches
The total number of persons = 40 players + 4 coaches
= 44 persons
Hence:
44 persons = 513.48 inches
1 person = x
Cross Multiply
44x = 513.48 inches × 1
x = 513.48 inches/44
x = 11.67 inches per person
For Wristbands
She uses 372.40 inches of fabric on wristbands for just the players how much fabric was used on a headband and wristband for each player?
Number of players = 40
Hence
40 players = 372.40 inches
1 players = x inches
Cross Multiply
40x = 372.40 inches
x = 372.40 inches/40
x = 9.31 inches
Hence, 9.31 inches per player.
Therefore
For each player:
Headbands = 11.67 inches of fabric
Wristbands = 9.31 inches of fabric