Answer:
the probability that all tomatoes are sold is 0.919 (91.9%)
Step-by-step explanation:
since the random variable X= number of tomatoes that are demanded, is normally distributed we can make the standard random variable Z such that:
Z=(X-μ)/σ = (83 - 125)/30 = -1.4
where μ= expected value of X= mean of X (since X is normally distributed) , σ=standard deviation of X
then all tomatoes are sold if the demand surpasses 83 tomatos , therefore
P(X>83) = P(Z>-1.4) = 1- P(Z≤-1.4)
from tables of standard normal distribution →P(Z≤-1.4)=0.081 , therefore
P(X>83) = 1- P(Z≤-1.4) = 1 - 0.081 = 0.919 (91.9%)
thus the probability that all tomatoes are sold is 0.919 (91.9%)
Answer:
20
Step-by-step explanation:
We know that the interior angle measures of a triangle are <u>180,</u> and we are told that this is a <u>right</u> triangle.
Since we know the measure of two angles, we just have to do basic math:
180=90+70+x
solve for x (which equals 20) to get the measure of your acute angle
The amount of bill is $43.15
Step-by-step explanation:
Given,
Current meter reading = 25,789 kWh
Reading on last bill = 25,350 kWh
Reading for the month = Current meter reading - Last month bill reading
Reading for the month = 25789 - 25350 = 439kWh
Cost per kWh = $0.0983
Cost of 439 kWh = 0.0983*439 = $43.1537
Rounding off to nearest hundredth
Cost of 439 kWh = $43.15
The amount of bill is $43.15
Keywords: subtraction, multiplication
Learn more about subtraction at:
#LearnwithBrainly
Answer:
For the given expression: 
Step-by-step explanation:
Here, the given expression in statement form is given as:
5 X minus Y equals 6 + negative 2 X plus Y = 8
Now, converting the given statement mathematically, we get:
5X - Y = 6 + (-2X) + Y = 8
Now, considering first and the last terms,we get:
5 X - Y = 8 .... (1)
and , considering second and the last terms,we get:
6 + (-2X) + Y = 8 or, -2X + Y = 2 ......... (2)
Adding (1) and (2) , we get:
5 X - Y - 2 X + Y = 8 + 2
or, 3 X = 10
or, X = 10/3 = 3.34
Now, 5X - Y = 8
or, 
Hence, for the given expression:
