Answer:
The null hypothesis is 
, in which x is the proportion tested.
The alternative hypothesis is 
Step-by-step explanation:
A recent article in a university newspaper claimed that the proportion of students who commute more than miles to school is no more than x.
This means that at the null hypothesis, we test if the proportion is of at most x, that is:
Suppose that we suspect otherwise and carry out a hypothesis test.
The opposite of at most x is more than x, so the alternative hypothesis is:
240÷15=16 seats at each table
Since there were 15 tables and 240 in total you have to divide to find the number of seats at a table
To obtain the square root of 16x^36, the coefficient portion (16) will not present any problems since 16 is a perfect square. However, for a variable with an exponent, the exponent is to be multiplied by 1/2 since the square root symbol is equal to raising the term inside to the power of 1/2. This is shown below:
sqrt (16 x^36) = 4 * x^36(1/2) = 4 * x^18
Therefore, the correct answer is 4x^18.
<h3>The value of x is 4.10</h3>
<em><u>Solution:</u></em>
Given that,
The angle Johnny holds his pen on paper creates a linear pair
Angles in a linear pair are supplementary angles
Two angles are supplementary, when they add up to 180 degrees
The measure of one angle is 13x + 7
The measure of the second angle is one less than twice the first angle
Therefore,
Measure of second angle = twice the first angle - 1
Measure of second angle = 2(13x + 7) - 1
Measure of second angle = 26x + 14 - 1
Measure of second angle = 26x + 13
Therefore,
Measure of first angle + measure of second angle = 180
13x + 7 + 26x + 13 = 180
39x + 20 = 180
39x = 180 - 20
39x = 160
x = 4.1
Thus value of x is 4.10
Answer:
123 full pages
Step-by-step explanation:
Given
Required
Determine the number of full page
To do this, we simply divide the total stamps by stamps in each page;
Then we record only the quotient
The quotient is the digits before the decimal
<em>Hence, she has 123 full pages</em>
