We can calculate (62 + 90) / 2 = 76. it's <span>known that 95% lies between the mean and twice the standard deviation. </span><span>if the mean is "μ" and the standard deviation is "σ": </span><span>μ-2σ and μ+2σ. i</span><span>f μ=76, then </span><span>76+2σ = 90, so 2σ = 14, so σ = 7.
</span>
<span>the mean is 76 and the standard deviation 7. </span>
Answer: T(90) = 93.413 F
Step-by-step explanation:
The temperature T of an object in degrees Fahrenheit after t minutes is represented by the equation
T(t) = 69e−0.0174t + 79.
T is the dependent variable while t is the independent variable. To determine any value for Temperature, we will input the corresponding value for time into the function.
We want to determine the temperature of the object after one and a half hours. This means that we have to convert one and a half hours to minutes
1f 1 hour = 60 minutes
Then 1.5 hours = 1.5 × 60 = 90 minutes.
We would substitute t = 90 minutes into the equation, it becomes
T(90) = 69e−0.0174×90 + 79
T(90) = 69e−1.566 + 79
T(90) = 14.413 + 79
T(90) = 93.413 F
Answer: It will hold 9,000 gallons (I'm guessing as that is the stand unit of water for something like this)
Step-by-step explanation:
60 * 25 = 1,500
1500 * 6 = 9000
Answer:
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Step-by-step explanation:
Using an indirect proof:
Assume that the figure is a trapezoid.
All trapezoids are quadrilaterals.
All quadrilaterals' interior angles add up to 360° because any n-gon's interior angles add up to 180(n-2)°.
We are given that the trapezoid has three right angles.
All right angles are 90°, thus these right angles have a total measure of 270°.
We can conclude fourth angle must be 90°.
If it has four right angles, it is a rectangle.
Rectangles have two sets of parallel sides.
However, trapezoids have exactly one set of parallel sides.
Alas, our figure cannot be a trapezoid.
