Answer:
x = - 9
Step-by-step explanation:
Step 1:
2x - 3 = - 21 Equation
Step 2:
2x = - 18 Add 3 on both sides
Step 3:
- 18 ÷ 2 Divide
Answer:
x = - 9
Hope This Helps :)
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The probability of passing the test is 
The sample size is n = 10
Generally the distribution of the comprehensive testing of equipment follows a binomial distribution
i.e

and the probability distribution function for binomial distribution is

Here C stands for combination hence we are going to be making use of the combination function in our calculators
Generally the probability that at least 9 pass the test is mathematically represented as

=> ![P(X \ge 9) = [^{10}C_9 * (0.95)^9 * (1- 0.95)^{10-9}] + [^{10}C_{10} * (0.95)^{10} * (1- 0.95)^{10-10}]](https://tex.z-dn.net/?f=P%28X%20%5Cge%209%29%20%3D%20%20%5B%5E%7B10%7DC_9%20%2A%20%20%280.95%29%5E9%20%2A%20%20%281-%200.95%29%5E%7B10-9%7D%5D%20%2B%20%5B%5E%7B10%7DC_%7B10%7D%20%2A%20%20%280.95%29%5E%7B10%7D%20%2A%20%20%281-%200.95%29%5E%7B10-10%7D%5D)
=> ![P(X \ge 9) = [0.3151] + [0.5987]](https://tex.z-dn.net/?f=P%28X%20%5Cge%209%29%20%3D%20%20%5B0.3151%5D%20%2B%20%5B0.5987%5D%20)
=> 
Answer:
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Step-by-step explanation:
0.012,0.12,1.2,12
Answer:
Total number of students surveyed about their mode of transportation to school is 400.
Step-by-step explanation:
Here, given student who uses car as their mode of transport = 120 students
We have to find the total number of students who are surveyed.
Also, since complete circle represents 100% of data,
Total students who uses at least one mode of transport out of foot, bicycle, bus or car let it be x students.
Total percentage of students that uses bus, bicycle and on foot = (20 +15+35)% = 70%
Thus, percentage of students that uses car = 100 - 70 = 30%
Thus, 30 % of total students = 120
Mathematically, 30% of x = 120
Solving for x, we get,



Thus, total number of students surveyed about their mode of transportation to school is 400.
Answer:
Step-by-step explanation:
y=1/2-5x