Answer: 22.0.6%
Step-by-step explanation:
Given : According to a human modeling project, the distribution of foot lengths of women is approximately Normal with
and
.
In the United States, a woman's shoe size of 6 fits feet that are 22.4 centimeters long.
Then, the probability that women in the United States will wear a size 6 or smaller :-
![P(x\leq22.4)=P(z\leq\dfrac{22.4-23.4}{1.3})\ \ [\because z=\dfrac{x-\mu}{\sigma}]\\\\\approx P(z\leq-0.77)\\\\=1-P(z\leq0.77)\\\\=1-0.77935=0.2206499\approx0.2206=22.06\%](https://tex.z-dn.net/?f=P%28x%5Cleq22.4%29%3DP%28z%5Cleq%5Cdfrac%7B22.4-23.4%7D%7B1.3%7D%29%5C%20%5C%20%5B%5Cbecause%20z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5D%5C%5C%5C%5C%5Capprox%20P%28z%5Cleq-0.77%29%5C%5C%5C%5C%3D1-P%28z%5Cleq0.77%29%5C%5C%5C%5C%3D1-0.77935%3D0.2206499%5Capprox0.2206%3D22.06%5C%25)
Hence, the required answer = 22.0.6%
Answer:
Step-by-step explanation:
36 + b > -24b + (-64)
24b + b > -36 - 64
25b > 100
b > 100/25
b > 4
SOLUTION:
Step 1:
In this question, we are given the following:
Step 2:
The details of the solution are as follows:
Step-by-step explanation:
Given :
At the state fair, admission at the gate is $9.
In addition, the cost of each ride is $3.
Suppose that Sam will go on x rides.
Then, cost of x rides ( in dollars) = Cost per ride x Number of rides
=3x
Total cost ( in dollars) : Admission fee + cost of x rides
= 9+3x
Sam wants the total number of dollars he spends on admission and rides to be at most t ( less than or equal to t )
![9\text{ + 3x }\leq\text{ t}](https://tex.z-dn.net/?f=9%5Ctext%7B%20%2B%203x%20%7D%5Cleq%5Ctext%7B%20t%7D)
CONCLUSION:
The final answer is:
Using the values and variables given, write an inequality describing this.
![9\text{ + 3x }\leq\text{ t}](https://tex.z-dn.net/?f=9%5Ctext%7B%20%2B%203x%20%7D%5Cleq%5Ctext%7B%20t%7D)
Step-by-step explanation:
a vector multiplied by a scalar is equal to it's image. The expression above gives an equation and after solving, it gives you the image
Step-by-step explanation:
Let a be the price of 1 adult ticket.
Let c be the price of 1 child ticket.
given,
![6a + 2c = 124](https://tex.z-dn.net/?f=6a%20%2B%202c%20%3D%20124)
as equation 1,
and
![3a + 5c = 100](https://tex.z-dn.net/?f=3a%20%2B%205c%20%3D%20100)
as equation 2.
Now we will solve for a and c using elimination method of simultaneous equations.
Now we multiply equation 2 by 2 to eliminate a and solve for c.
![3a \times 2 + 5c \times 2 = 100 \times 2 \\ 6a + 10c = 200](https://tex.z-dn.net/?f=3a%20%5Ctimes%202%20%2B%205c%20%5Ctimes%202%20%3D%20100%20%5Ctimes%202%20%5C%5C%206a%20%2B%2010c%20%3D%20200)
This new equation will be equation 3.
Now we will use equation 1 - equation 3 to eliminate a and solve for c.
![(6a - 6a) + (2c - 10c) = 124 - 200 \\ 0 + ( - 8c) = - 76 \\ - 8c = - 76 \\ c = - 76 \div - 8 \\ = 9.5](https://tex.z-dn.net/?f=%286a%20-%206a%29%20%2B%20%282c%20-%2010c%29%20%3D%20124%20-%20200%20%5C%5C%200%20%2B%20%28%20-%208c%29%20%3D%20%20-%2076%20%5C%5C%20%20-%208c%20%3D%20%20-%2076%20%5C%5C%20c%20%3D%20%20-%2076%20%5Cdiv%20%20-%208%20%5C%5C%20%20%3D%209.5)
Now substitute c into equation 2.
![3a + 5(9.5) = 100 \\ 3a + 47.5 = 100 \\ 3a = 100 - 47.5 \\ 3a = 52.5 \\ a = 52.5 \div 3 \\ = 17.5](https://tex.z-dn.net/?f=3a%20%2B%205%289.5%29%20%3D%20100%20%5C%5C%203a%20%2B%2047.5%20%3D%20100%20%5C%5C%203a%20%3D%20100%20-%2047.5%20%5C%5C%203a%20%3D%2052.5%20%5C%5C%20a%20%3D%2052.5%20%5Cdiv%203%20%5C%5C%20%20%3D%2017.5)
Therefore one adult ticket will cost $17.50 and one child ticket will cost $9.50.