A conditional statement, symbolized by p q, is an if-then statement in which p is a hypothesis and q is a conclusion. The logical connector in a conditional statement is denoted by the symbol . The conditional is defined to be true unless a true hypothesis leads to a false conclusion.
Answer:
<h3>X=5/31=0.16</h3>
Step-by-step explanation:
Isolate x on one side of the equation.
4x+27x=31x (Combine like terms, group like terms, & Add.)
31x=5
31x/31=5/31 (Divide by 31 from both sides.)
5/31=0.16
x=5/31=0.16
In conclusion, the correct answer is x=5/31=0.16.
Answer:
0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 3 cm and a standard deviation of 0.04 cm.
This means that 
What is the probability that a bolt has a length greater than 2.96 cm?
This is 1 subtracted by the p-value of Z when X = 2.96. So
has a p-value of 0.1587.
1 - 0.1587 = 0.8413
0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.
Answer:
$90.02
Step-by-step explanation:
<u>Solve</u>
Formula: Change money = paid money – bill. Paid money = change + bill.
Given: <em>2</em> buckets of baseballs that cost $<em>19.49</em> each
A bat that cost $<em>125.50</em>, and <em>2</em> pairs of baseball socks that totaled $<em>29.50</em>
Tax on Alex's purchases equaled $<em>16</em>.
Paid with three $<em>100</em> bills.
To find: How much change Alex received if he paid with three $100 bills
Total payment + Total Tax -Total cost
19.49 + 125.50 + 29.50 = 174.49 (Don't add the $16 tax because that will be taken from the amount we pay)
∴, <em>three </em>100 bills is 300
So, 300 - 174.49 = 109.51
109.51 - 16 = 90.51
90.51 - 0.49 = $90.02
Answer:
80 hours for 2 workers to build 8 cars
Step-by-step explanation:
2 cars / 8w *5 hr = 2 cars / 40 hrs 1 car takes 20 hrs
8 cars * 20 hours = 160 hours required
two workers split this time 160/2 = 80 hours
