Answer:
x = 7/
or 4.949747468
Step-by-step explanation:
45-45-90 triangles have a specific pattern.
The smaller sides are x, & the hypotenuse is 
With this knowledge, we know we have to divide the hypotenuse by to get the smaller sides, so we divide 7 by the to find x.
Answer:
Pr(X >42) = Pr( Z > -2.344)
= Pr( Z< 2.344) = 0.9905
Step-by-step explanation:
The scenario presented can be modeled by a binomial model;
The probability of success is, p = 0.65
There are n = 80 independent trials
Let X denote the number of drivers that wear a seat belt, then we are to find the probability that X is greater than 42;
Pr(X > 42)
In this case we can use the normal approximation to the binomial model;
mu = n*p = 80(0.65) = 52
sigma^2 = n*p*(1-p) = 18.2
Pr(X >42) = Pr( Z > -2.344)
= Pr( Z< 2.344) = 0.9905
The pounds of steak remaining after the cookout is 3 13/16 pounds
Given:
Total steaks bought = 5 7/8
Steaks used for cookout = 2 1/16
Total steaks remaining = Total steaks bought - Steaks used for cookout
= 5 7/8 - 2 1/16
= 47/8 - 33/16
= (94-33) / 16
= 61/16
= 3 13/16 pounds
Therefore, the pounds of steak remaining after the cookout is 3 13/16 pounds
Learn more about fraction:
brainly.com/question/1622425
Answer:
y= -1.5x-7 is the equation of the perpendicular line
Here's why:
when we convert 2x-3y=8 to standard form, we get y= 2/3x-8/3. This means the perpendicular line will have a slope of the negative reciprocal of the original one, so the perpendicular slope is -1.5. When we substitute the points (-2,-4) into the equation y=-1.5x+b, we get a b value of -7. So the perpendicular line equation is y= -1.5x-7. You can't the parallel line equation with the points (-2,-4) as it is part of the line 2x-3y=8.
