Answer:
-40 < t < 284
Step-by-step explanation:
The antifreeze protects the car between −40°C and 140°C.
Using t for temperature, the compound inequality of the Celsius temperature range is:
-40 < t < 140
The conversion formula is given to find degrees C in given degrees F. We can solve the formula for F, so we get degrees F in terms of degrees C.
C = (5/9)(F - 32) <------ <em>conversion formula from deg F to deg C</em>
Solve for F:
(9/5)C = F - 32
(9/5)C + 32 = F
F = (9/5)C + 32 <------ <em>conversion formula from deg C to deg F</em>
Now we convert -40 deg C to deg F using the formula we just derived.
F = (9/5)C + 32
F = (9/5)(-40) + 32
F = -72 + 32
F = -40
-40 deg C = -40 deg F
(This is not a mistake or a typo. -40 deg C really is the same as -40 deg F.)
Now we convert 140 deg C to deg F using the formula we just derived.
F = (9/5)C + 32
F = (9/5)(140) + 32
F = 252 + 32
F = 284
140 deg C = 284 deg F
Now we rewrite the compound inequality with Fahrenheit temperatures.
-40 < t < 284
So,
To what percent 34 is of 55, we first need to find the fraction equivalent.
34 out of 55 parts or 34/55
Divide 34 by 55.
34/55 = 0.61818...
Now, we move the decimal point 2 places to the right in order to convert it to a percent.
6.1818...
61.81818...
Rounded to the nearest hundredth: 61.82%
Rounded to the nearest tenth: 61.8%
Rounded to the nearest percent: 62%
Answer:A. on edge
Step-by-step explanation:
Just took the quiz.
Answer:
a. P(X ≤ 5) = 0.999
b. P(X > λ+λ) = P(X > 2) = 0.080
Step-by-step explanation:
We model this randome variable with a Poisson distribution, with parameter λ=1.
We have to calculate, using this distribution, P(X ≤ 5).
The probability of k pipeline failures can be calculated with the following equation:
Then, we can calculate P(X ≤ 5) as:
The standard deviation of the Poisson deistribution is equal to its parameter λ=1, so the probability that X exceeds its mean value by more than one standard deviation (X>1+1=2) can be calculated as:
Markup is the amount added to the cost price of goods to cover overhead and profit.
Sue’s Corner Market has a markup of 60% on bottled water.
Let us say original price was $x.
Now price after markup is $2.
So we can make an equation like:
original price + markup price = price after markup
x + 60% of x =2
dividing both sides by 1.6
x= 1.25
So original price was 1.25 dollars.
