Answer:
The probability is 0.31
Step-by-step explanation:
In this question, we are tasked with calculating the probability that a random plumber called at Denver will charge an amount greater than $86 given the mean and the standard deviation.
Firstly, we calculate the standard score of $86 using the mean and the standard deviation.
Mathematically;
z-score = (x-mean)/SD
where x = 86, mean = 84 and SD = 4
z-score = (86-84)/4 = 2/4 = 0.5
Hence, we want to calculate P(z ≥ 0.5)
Using standard table
P( (z ≥ 0.5) = 1 - P(z ≤ 0.5) = 1 - ( 0.19146 + 0.5) = 0.30854
To the nearest hundredth = 0.31
Answer:
-160
Step-by-step explanation:
When writing the equation keep in mind that 7 + x is said as a term that is squared so it has to be squared while it's still together; (7 + x)².
Answer:
Choices A, C, E
Step-by-step explanation:
The prices are proportional, so divide any price by the corresponding number of pounds to find the unit cost.
$1.47/(3 lb) = $0.49/lb
The unit cost is $0.49 per lb.
Now we look in the choices to see which choice has a unit price of $0.49/lb.
We divide each price by its number of pounds to fund each unit cost. Every choice with a unit cost of $0.49/lb is an answer.
A $0.98/(2 lb) = $0.49/lb Choice A works
B $4.45/(7 lb) = $0.64/lb Choice B does not work
C $2.94/(6 lb) = $0.49/lb Choice C works
D $0.54/(1 lb) = $0.54/lb Choice D does not work
E $3.92/(8 lb) = $0.49/lb Choice E works
Answer: Choices A, C, E
Answer:
1/7 (option d) of the sensors on the satellite have been upgraded
Step-by-step explanation:
Each unit contains the same number of non-upgraded sensors
number of non-upgraded sensors for each module (nus)
total number of upgraded sensors on the satellite (tus)
satellite is composed of 30 modular units
total number of non-upgraded sensors on the satellite (tnus):
tnus=30*nus
total number of sensors on the satellite (ts):
ts=tnus+tus = 30*nus + tus (I)
The number of non-upgraded sensors on one unit is 1/5 the total number of upgraded sensors on the entire satellite
nus=(1/5)*tus
tus = 5 * nus (II)
Fraction of the sensors on the satellite have been upgraded (FU):
FU = tus/ts
Using I and II
FU= (5* nus)/(30*nus + tus)
FU = (5* nus)/(30*nus + 5 * nus)
FU = (5* nus)/(35*nus)
FU = 1/7
1/7 (option d) of the sensors on the satellite have been upgraded
