First, multiply 1/4 by x+3 ⇒(1/4x+3/4). Next, multiply 3 by 1+x ⇒(3+3x). The equation should now look like this: 1/4x+3/4-4x≤3+3x. The next thing you have to do is get all of the x's on one side of the symbol. Subtract 1/4x from both sides, and the equation then looks like this: 3/4-4x≤3+2 3/4x. Add the -4x to both sides, and the equation should look like this: 3/4≤3+6 3/4x. Next, you have to move the 3 to the left side. To do that, subtract it from both sides. The equation then look like this: -2 1/4≤6 3/4x. Then, to get the x alone, you need to divide the coefficient (6 3/4) by -2 1/4, which equals -1/3 or -0.3 repeating. So, -1/3≤x
Answer:
6
Step-by-step explanation:
3/4 = 0.75
0.75 * 8 = 6
Answer:
<h2>Conditional frequencies offer more specific information to analyse certain data set.</h2>
Step-by-step explanation:
A conditional frequency is a type of relative frequency which involves a condition to be defined.
For example, the conditional frequency of having a house given that the person is female. Notice that this example shows the condition "being female", so the conditional frequency would be all females who own a house.
On the other hand, the relative frequency is just a ratio between the frequency of the data and the total number of data. It's doesn't includes a condition to be defined, that's the difference.
Therefore, conditional frequencies offer more specific information to analyse certain data set.
Answer:
It is exponential.
Step-by-step explanation:
The x-values in the table are increasing by 9 and the y-values are multiplying by 2 each time. If the y value is increasing by addition, it will be linear, and if it increasing by multiplication it will be exponential.
Using a graphing website like desmos, or a graphing calculator, you can input these values to check if it is correct.
Answer:
57°
Step-by-step explanation:
The sum of both angles is 90°
3x+5x+2=90
8x+2=90
8x=88
x=11
Plug x into the equation
Larger Angle
5(11)+2=57
Smaller Angle
3(11)=33