Answer:
88.88% probability that it endures for less than a year and a half
Step-by-step explanation:
Problems of normally distributed samples can be 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 question, we have that:
The next career begins on Monday; what is the likelihood that it endures for less than a year and a half?
One year has 52.14 weeks. So a year and a half has 1.5*52.14 = 78.21 weeks.
So this probability is the pvalue of Z when X = 78.21.
has a pvalue of 0.8888
88.88% probability that it endures for less than a year and a half
Answer:
a) Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200.
Step-by-step explanation:
The model equation is given as:
52(18) + x = 1200
a) Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200.
52($18) + x = $1200
52(18) + x = $1200
Option a is correct
b) Katrina earned $18 plus a weekly bonus x, for managing her money wisely each week for 52 weeks. Find x, if Katrina earned $1200.
x = weekly bonus, hence, we have the equation:
$18 + (x)52 = $1200
Option b is wrong
c) Marissa has $52 in her savings account. She earns $18 for each lawn she mows. Find x, the number of weeks she needs to mow lawns in order to have a total of $1200.
This is represented as:
$52 + $18(x) = $1200
Option c is wrong
d) Edward had a balance of $52 in the bank. He added x dollars to his account last month. This week he deposited another $18. Find x, the amount Edward deposited in the bank last month if his total savings is now $1200.
This is represented as :
$52+ $x + $18 = $1200
Option d is wrong.
Therefore, the correct statement that modelled the equation is option a
50%
Explanation: There are 24 skittles in total, 12 of then at green. 12 is half of 24, so, it would be 50%
Answer:
The total number of hikers are 427
Step-by-step explanation:
Let:
The number of bikers = x
The number of hikers = y
There are 178 more bikers than hikers
y = x + 178
if there are 676 people in the park total how many people are hikers?
Hence:
x + y = 676
we substitute x + 178 for y
x + x + 178 = 676
2x + 178 = 676
2x = 676 - 178
2x = 498
x = 498/2
x = 249
y =x + 178
y = 249 + 178
y = 427
Therefore:
The number of bikers = x = 249
The number of hikers = y = 427
The total number of hikers are 427
