The value of the collection originally was $1,000,000
What was the original value of the collection?
The original value of the collection is not known, hence, it is represented by X
The increase in value by $50,000 means that the value is X+$50,000
Now, when the error was discovered, it is now worth half of the value previously
The new value is (X+$50,000)*0.5
New value=(X+$50,000)*0.5
The new value at this point is $525,000
$525,000=(X+$50,000)*0.5
$525,000/0.5=X+$50,000
$1,050,000=X+$50,000
X=$1,050,000-$50,000
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First pool: 21 liters per min so to get 3100 gone do 3100 divided by 21 which equals 147
Second pool: 33 liters per min and you have 3472 divided 33 = 105
Answer:
Correct option A: 0.6874
Step-by-step explanation:
Hello!
To calculate the area within the interval [-1.23; 0.83], you have to subtract to the probability accumulated till the lower value to the probability accumulated to the higher value, symbolically:
P(Z≤0.83)-P(Z≤-1.23)
You have to use the Z table to look for the corresponding values of probability. The negative value is in the left entry and the positive value is in the right entry. The first column shows the integer and first decimal value, the second decimal value is in the first row, you cross both values and find the value of probability.
P(Z≤0.83)-P(Z≤-1.23)= 0.7967 - 0.1093= 0.6874
I hope it helps!
The equation of direct proportion is y = 62x
<h3>
Direct variation</h3>
Two quantities are said to vary directly proportional to each other when an increase in one leads to an increase in the other or a decrease in one leads to a decrease in the other.
Direct variation is given by:
y = kx
where y, x are the variables and k is the constant of proportionality.
The equation of direct proportion is y = 62x
Find out more on Direct variation at: brainly.com/question/6499629
Answer:
The interval is [4,7]
Step-by-step explanation:
The rate of change is given by
f(x2) - f(x1)
-------------------
x2 -x1
We want the rate of change to be 56
f(x2) - f(x1)
------------------- = 56
x2 -x1
We also know that the x2 is 7 so f(x2) = 192
192 - f(x1)
------------------- = 56
7 -x1
192 - f(x1) = 56( 7 -x1)
192 - f(x1) = 392 -56x1
Now we need to pick points from the table and see where it is true
(6,96)
192 - 96 = 392 -56*6
96=56 False
( 5,28)
192 - 28 = 392 -56*5
164=112 False
(4,24)
192 - 24 = 392 -56*4
168=168 True
The interval is [4,7]
