Answer:
935 words
Step-by-step explanation:
76*85=6460
65*85=5525
6460-5525=935
Answer:
94.2 cm^3.
Step-by-step explanation:
Volume of a cone = 1/3πr^2h
The radius of the cone = 1/2 * 6 = 3
So here the volume is:
1/3 * π * 3^2 * 10
= 94.247
Answer:
F(x) = -3(x + 2)² - 2
Step-by-step explanation:
In the picture attached, the graph is shown.
F(x) has the form a(x - h)² + k, where (h, k) is the vertex of the parabola. We can see in the graph that the vertex is located at (-2, -2), then F(x) = a(x + 2)² - 2. If a > 0 the parabola opens upward, if a < 0 the parabola opens downward. We can see in the graph that the parabola opens downward, then the correct answer is F(x) = -3(x + 2)² - 2
Answer:
There are 89% of healthy adults with body temperatures that are within 3 standard deviations of the mean
The minimum value that is within 3 standard deviations of the mean is 96.57.
The maximum value that is within 3 standard deviations of the mean is 100.11.
Step-by-step explanation:
Chebyshev's theorem states that a minimum of 89% of the values lie within 3 standard deviation of the mean.
So
Using Chebyshev's theorem, what do we know about the percentage of healthy adults with body temperatures that are within 3 standard deviations of the mean?
There are 89% of healthy adults with body temperatures that are within 3 standard deviations of the mean.
What are the minimum and maximum possible body temperatures that are within 3 standard deviations of the mean?
We have that the mean
is 98.34 and the standard deviation
is 0.59. So:
Minimum

Maximum

Answer: G. 12.5, 7.5, 10
Step-by-step explanation:
To determine the lengths of metal that could be used to form the tight angle triangle, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
The hypotenuse is the longest side while the opposite and adjacent sides are the shorter side. Therefore,
F.
8² = 4² + 4²
64 = 16 + 16 = 32
A right angle triangle cannot be formed because they are not equal.
G.
12.5² = 7.5² + 10²
156.25 = 56.25 + 100 = 156.25
A right angle triangle can be formed because they are equal.
H.
23² = 11² + 9²
529 = 121 + 81 = 202
A right angle triangle cannot be formed because they are not equal.
J.
96² = 12.5² + 6²
9216 = 156.25 + 36 = 192.25
A right angle triangle cannot be formed because they are not equal.