Answer:
Step-by-step explanation:
Jill makes purses and backpacks.
Let x represent the number of foot of fabric required to make a purse.
Let y represent the number of foot of fabric required to make a backpack.
To make each purse,she uses 1 foot less than half the amount of fabric she uses to make a backpack. This means that
x = (y/2) - 1
Therefore, the amount of fabric that Jill needs to make backpack will be
y/2 = x-1
y = 2(x-1) = 2x - 2
The number of feet of fabric that she will use to make a purse is
x = (y/2) - 1
Answer:
4.6 km
Step-by-step explanation:
-This is a Pythagorean Theorem problem where the distances walked are effectively the base and height of the imaginary right triangle thereof.
#Apply Pythagorean theorem to solve:
Hence, the distance x is 4.6 km
Answer:
- after the raise, her salary is $1755 per month
- this is a +17% change from her original salary
Step-by-step explanation:
The multiplier of her original salary to her reduced salary is ...
(1 - 10%) = 0.90
The multiplier of her reduced salary after her raise is ...
(1 +30%) = 1.30
The multiplier of her raised salary from her original salary is ...
(0.90)(1.30) = 1.17 = (1 +17%)
Her salary after the 17% raise is ...
1.17·1500/mo = $1755/mo
Answer: 0.0035
Step-by-step explanation:
Given : The readings on thermometers are normally distributed with a mean of 0 degrees C and a standard deviation of 1.00 degrees C.
i.e. 
and 
Let x denotes the readings on thermometers.
Then, the probability that a randomly selected thermometer reads greater than 2.17 will be :_
![P(X>2.7)=1-P(\xleq2.7)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{2.7-0}{1})\\\\=1-P(z\leq2.7)\ \ [\because\ z=\dfrac{x-\mu}{\sigma}]\\\\=1-0.9965\ \ [\text{By z-table}]\ \\\\=0.0035](https://tex.z-dn.net/?f=P%28X%3E2.7%29%3D1-P%28%5Cxleq2.7%29%5C%5C%5C%5C%3D1-P%28%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5Cleq%5Cdfrac%7B2.7-0%7D%7B1%7D%29%5C%5C%5C%5C%3D1-P%28z%5Cleq2.7%29%5C%20%5C%20%5B%5Cbecause%5C%20z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5D%5C%5C%5C%5C%3D1-0.9965%5C%20%5C%20%5B%5Ctext%7BBy%20z-table%7D%5D%5C%20%5C%5C%5C%5C%3D0.0035)
Hence, the probability that a randomly selected thermometer reads greater than 2.17 = 0.0035
The required region is attached below .
Im not sure but i think its 45+9 x X
small x= times
big X = scenario
