Answer: A
Step-by-step explanation:
For a line to be perpendicular, the slope should be the opposite reciprocal. The intercept doesn't matter, so we automatically know that it's A.
Answer:
Each dress would cost 72
Step-by-step explanation:
36% of 200 is 72
we have given 43 pencils
we need to divide it equally so that none can be without groups.
we need to find the factors of 43.
we know that 43 is a prime number. which cannot be divided.so it is not possible to divide the 43 pencils with none left over .
Answer:
Step-by-step explanation:
Hello!
The variable of interest is
X: speed of a vehicle along a stretch of I-10 (mph)
This variable has a normal distribution with mean μ= 81 mph and a standard deviation σ= 8 mph.
The speed limit in the said stretch is 65 mph.
You need to calculate the probability of picking a car at random and its speed be at most 65 mph, symbolically:
P(X≤65)
To reach the probability, you need to use the standard normal distribution. To standardize the value fo X you have to subtract the value of μ and then divide it by σ:
P(Z≤(65-81)/8)= P(Z≤-2.00)
Now you look for the corresponding probability in the table of the standard normal distribution, since the value is negative you have to use the left entry. The integer and first decimal numbers are in the first column and the second decimal number is in the first row.
P(Z≤-2.00)= 0.0228
I hope it helps!
Let x be the time in hours and y be the distance driven in miles. If x = 0, then no time has passed which means he can't drive anywhere. So y = 0 when x = 0. The first point is (0,0). Note: the y intercept is 0 as this is where the graph crosses the vertical y axis.
One hour later, he has driven 35 miles because 140/4 = 35. In other words, his speed is 35 miles per hour (mph). So we have the second point (x,y) = (1,35). Note: the rate of change is the same as the slope in this problem. Also the rate of change is the same as saying "speed" for this problem.
Plot the two points (0,0) and (1,35) and draw a straight line through the two points. Extend the line as far as you can. The graph is linear assuming he maintains his speed to be the the same throughout the whole trip.
