Answer:
1/36
Step-by-step explanation:
There are 6 numbers on a die. You have a 1/6 chance of rolling a 3 and a 1/6 chance of rolling a 4. 1/6 times 1/6 = 1/36.
Answer:
<h2>They both have the same slope</h2>
Step-by-step explanation:
The standard equation of a given line is expressed as y = mx+c where m is the slope and c is the intercept.
given the function f(x)= 3x − 3, comparing this equation with the standard format, we will have;
mx = 3x
Divide through by x
mx/x = 3x/x
m = 3
Hence the slope of the function f(x)= 3x − 3 is 3.
For a function g(x) passing through the points (0, 2) and (1, 5), to determine the slope, we will use the formula for calculating slope expressed as;
m = Δy/Δx = y₂-y₁/x₂-x₁
From the coordinates, x₁ = 0, y₁ = 2, x₂ = 1, y₂ = 5
m = 5-2/1-0
m = 3/1 = 3
Hence the slope of g(x) passing through the points (0, 2) and (1, 5) is also 3.
<em>This shows that both functions have the same slope.</em>
Answer:
a 3x
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1 /5 = 0 . 2
45 * . 2 = 9
Hope this helped :)
Answer:
A) 99.7% of people have an IQ between 64 and 136.
B) 5% of people have an IQ score less than 76 or greater than 124.
C) 16% of people have an IQ score greater than 112.
Step-by-step explanation:
The Empirical Rule tells us that, in a normal or 'bell-shaped' distribution, 68% of the data is one standard deviation from the mean, 95% of the data is two standard deviations from the mean, and 99.7% of the data is three standard deviations from the mean.
A) 64 and 136 are 3 standard deviations away from the mean, so 99.7% of people have an IQ between 64 and 136.
B) 76 and 124 are 2 standard devations away from the mean, but the answer is asking what percentage is not between them. 100% - 95% gives us 5%.
C) 112 is one standard deviation away from the mean. If we want to find the percentage greater, then we can do 100% - 50% (as 112 is to the left of the mean), then we can take half of 68 to get 34%, and after subtracting 50% and 34% from the 100%, we get 16%.
