Answer:
The submarine is 10.4 km far from its base.
Step-by-step explanation:
Given that:
Distance traveled east = 7km
Distance traveled north = 12.5 km
This is will form a right triangle, where the distance from east to north is hypotenuse.
Here,
a = 7 , b = x and c = 12.5
Using Pythagorean theorem,
Taking square root on both sides
Hence,
The submarine is 10.4 km far from its base.
Answer: The required matrix A is
Step-by-step explanation: We are given the following linear transformation :
We are to find the matrix A relative to the bases and
We have
Therefore, the matrix A is of order 5 × 3, given by
Thus, the required matrix A is
Complete Question
Ava read an article claiming that 10% of people in her county were senior citizens, and she wondered if this held true for residents in her city. She took a random sample of 225 people from her city to test H0 : p = 0.10, where p is the proportion of people in her city that are senior citizens. Ava found that approximately 14% of those sampled were senior citizens. She conducted an appropriate significance test, and the resulting test statistic was z ≈ 1.89 z. Assume that the conditions for inference were met.calculate the p-value for Ellie's significance test
Answer:
The p-value is
Step-by-step explanation:
From the question we are told that
The percentage of senior citizens is p = 0.10
The sample size is
The sample proportion is
The test statistics is
The null hypothesis is
The alternative hypothesis is
Generally the p-value is mathematically represented as
From the z-table
=>
=>