X=7/18+4/9
I’m pretty sure that’s the answer
Answer:
21 students pass
Step-by-step explanation:
Firstly, you can set up the problem into an equation where the variable X would equal the number of students passing. You put X over the total number of students in the class, turning it into a fraction, then set it equal to the fraction
(which is 75% represented as a fraction).
![\frac{X}{28} = \frac{75}{100}](https://tex.z-dn.net/?f=%5Cfrac%7BX%7D%7B28%7D%20%3D%20%5Cfrac%7B75%7D%7B100%7D)
The fraction
can be simplified, because 75 and 100 are both multiples of 25, so after canceling out the 25s you would be left with
.
![\frac{X}{28} = \frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7BX%7D%7B28%7D%20%3D%20%5Cfrac%7B3%7D%7B4%7D)
Next, you use the process of cross multiplication which is essentially just multiplying the denominators of both fractions (which would be 28 and 4 in this case) to each side of the equation.
![\frac{X}{28} * 28 * 4 = \frac{3}{4} * 4 * 28](https://tex.z-dn.net/?f=%5Cfrac%7BX%7D%7B28%7D%20%2A%2028%20%2A%204%20%3D%20%5Cfrac%7B3%7D%7B4%7D%20%2A%204%20%2A%2028)
The denominators cancel out leaving you with a simple equation to simplify.
![4* X = 3 * 28](https://tex.z-dn.net/?f=4%2A%20X%20%3D%20%203%20%2A%2028)
![4X = 84](https://tex.z-dn.net/?f=4X%20%3D%2084)
Finally, divide both sides by four in order to isolate the variable.
![\frac{4X}{4} = \frac{84}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B4X%7D%7B4%7D%20%3D%20%5Cfrac%7B84%7D%7B4%7D)
X = 21.
Answer:
<em>The true average weight of geese is less than or equal to 40 pounds</em>
Step-by-step explanation:
The null hypothesis and the alternative hypothesis are two mutually exclusive statements or hypotheses that are made about a population. The purpose is to find out if, through a study of the data, sufficient evidence is obtained to reject one and accept another
The null hypothesis is denoted as
and the alternative hypothesis as ![H_1](https://tex.z-dn.net/?f=H_1)
As they are two mutually exclusive statements then if
: <em>"The true average weight of the geese is greater than 40 pounds"</em>
the alternative hypothesis must be the opposite of the null hypothesis
: <em>"The true average weight of geese is less than or equal to 40 pounds"</em>
Answer: B. Shifts right 5
Explanation:
When the number after the variable is in the parentheses, the transformation will be opposite of the sign. In this problem, the sign for 5 is negative so you would be going right 5 units because right is positive so that would be the opposite of the sign.
Answer:
Multiply each number by the little number next to it then add. It will be a huge number.
Step-by-step explanation: Above.