Answer:
The interval (162, 188)would represent the middle 68% of the scores of all the games that Rashaad bowls.
Step-by-step explanation:
As per the empirical rule of normal distribution, for any normally distributed curve, the values lie between the extreme values i.e
(μ - σ) and (μ + σ).
Given
μ = 175
σ = 13
(μ - σ) = 175 -13 = 162
(μ + σ) = 175 + 13 = 188
Hence the required interval is 162, 188
Step-by-step explanation:
for that we use Pythagoras, as the distance is always the baseline (Hypotenuse) of a right-angled triangle created by the x and y coordinate differences between the 2 points.
15.
distance² = (8-3)² + (9-2)² = 5² + 7² = 25 + 49 = 74
distance = sqrt(74) = 8.602325267...
16.
we need to write down the point coordinates first :
(-4, 3)
(1, -3)
distance² = (1 - -4)² + (-3 - 3)² = 5² + (-6)² = 25 + 36 = 61
distance = sqrt(61) = 7.810249676...
Answer:
It would cost $46.50 to buy 12 gallons of gas.
Step-by-step explanation:
1. Replace the variables in
with the values you know:

2. Solve for P:

The answer is y = 2x + 0 or y = 2x.
The line passes through (0,0) and (1,2). The slope is
m = (2 − 0)/(1 − 0) = 2.
(You could also see this by drawing the two points and a slope triangle and use the rise/run idea of slope.)
In the slope-intercept form, y = mx + b, you now know that m = 2 and b = 0, so the answer is
y = 2x + 0 or y = 2x.
Let x be the unknown quantity. First, cross multiply to get 56x=392. Then divide both sides of the equation by 56 to get x=7.