To find the perpendicular slope, we simply flip the fraction (aka reciprocal) and flip the sign (go from positive to negative, or vice versa)
So for problem 1a) we flip the fraction to go from 4/3 to 3/4. Then we flip the sign to go from +3/4 to -3/4. The final answer to problem 1a) is -3/4
The answer to problem 1b) is 7/3 following the same basic steps: -3/7 ---> -7/3 ---> 7/3
The answer to problem 1c) is -1/4. You can think of 4 as 4/1 which flips to 1/4 and it becomes -1/4
I'll let you try out the rest 1d and 1e. Tell me what you get so I can check your answers.
Answer:
Nicholas bought 1.8 lbs, and Jane bought 3lbs.
Step-by-step explanation:
Divide the total amount by how much it is per pound, so 8.10 divided by 4.50 = 1.8 and 9.75 divided by 3.25= 3
First write out the proportions/ratios, and use x for the unknown number.
2:5 = 34:x
Then, you find out how much more 34 is from 2, so divide 34 by 2.
The answer will be 17, which means, the proportions is 17 times of everything.
So to find out for the x, you multiply 5 by 17 since everything is 17 times more.
5 x 17 = 85
The final ratio will be:
2:5 = 34:85
We can say that 17 times more snow has snowed that year since comparing the January snowfall, it shows that 34 is 17 times more of 2. So to predict the total snowfall, we multiply the 5 by 17, since like I said before, the amount of snowfall is 17 times more than before. Therefore, 5 multiplied by 17 equals to 85. The predicted total snowfall for the entire year will be 85 inches.
Answer:
Step-by-step explanation:
Given that an observation from a normally distributed population is considered "unusual" if it is more than 2 standard deviations away from the mean. There are several contaminants that can harm a city's water supply. Nitrate concentrations above 10 ppm (parts per million) are considered a health risk for infants less than six month of age.
We can say 1.59 and 2.52 if taken average would be the mean
Mean = 2.01
The deviations on either side = 2.52-2.01 = 0.41
This can be taken as 2 std dev
So std dev = 0.205
Hence we can take nitrate concentration is normal with mean = 2.01 and std deviation is 0.205
N(2.01, 0.205)
W = width
l = length = 9
Perimeter = 2*w+2*l
Normally you would face the whole perimeter but "t<span>he side of the kennel against your house does not need a fence.</span>" So you actually fence 2*w+1*l
2w+l=25
2w+9=25
2w=16
w=8
The dimensions of the kennel are:
w=8 ft
l=9ft
