First, we have to find the z scores of $4 and $9.50.
Z₁ = ($4 - $6.50)/$2.25 = -1.11
Z₂ = ($9.50 - $6.50)/$2.25 = 1.33
Then, using a z score table, we find the probability of 1.33 and -1.11, and subtract them to determine the probability in between.
0.9082 - 0.1335 = 0.7747 or 77.47%.
Answer:
x=-3, and y=2
Step-by-step explanation:
Since both equations are equal to y, set them equal to each other and solve for x, that way you can solve for y:
x+5=-2x-4
3x+5=-4
3x=-9
x=-3
Plugging in x=-3 into one of the original equations:
y = x + 5
y = -3 + 5
y = 2
Therefore, x=-3 and y=2. You can also write as the ordered pair (-3,2) since that's where the two equations would intercept on a graph.
Answer:
A glide reflection is a composition of transformations.In a glide reflection, a translation is first performed on the figure, then it is reflected over a line. Therefore, the only required information is the translation rule and a line to reflect over. ... The first one is a translation rule.
The probability is always expressed as a part of the whole. So, it can be in terms of fraction or percentage. The numerator is the number of possible events while the denominator is the number of total events. Let x be the number of times you roll an odd number. So, the number of times you roll an even number would be 2x. The total rolls would then be x + 2x. Thus, the probability of rolling an odd number is
Probability = x/(2x + x) = x/3x = 1/3