Answer:
x must be 14/4 = 7/2
Step-by-step explanation:
The sum of the three interior angles of a triangle must be 180 degrees.
Thus, in this particular case,
82 + 64 + 4x + 20 = 180, or
146 + 4x = 160, or
4x = 160 - 146 = 14
Then 4x = 14, and x must be 14/4 = 7/2
Answer:
D. 274
Step-by-step explanation:
A normal distribution of the scores is assumed. In the figure attached, the standard normal distribution table is shown.
If only top 5% of athletes are part of the team, then we need to find the value of the table which has a probability of 95%, that value is between 1.64 and 1.65, so we interpolate it as 1.645. The table was made for a variable with mean = 0 and standard deviation (sd) equal to 1, therefore to refer the result to our variable we compute:
1.645 = (x - mean)/sd
x = 1.645*sd + mean
x = 1.645*15 + 250 ≈ 274
So, 95% of the scores are below 274, then 274 is the minimum qualifying score
Answer:
14/25
Step-by-step explanation:
Convert 56% to fraction form: 56/100, and then simplify to 14/25
Answer:
The answer for this question ( ur exit ticket ) is C .
1. m
2. One set of ordered pairs
3. b
To show why this is, I’m going to explain how to write the equation for a linear function with two random sets of ordered pairs - (1,0) and (5, 8).
First, find the slope. The formula for slope is m = (y2 - y1)/(x2-x1) where m is the slope and (x1, y1) and (x2, y2) are two sets of points.
This is why #1 is m. M is the letter used when finding slope.
To find m, I plug in the two sets of ordered pairs.
m = (8-0)/(5-1)
m = 8/4
m = 2
An equation for a line (linear function) is written in something called slope-intercept form. It looks like y = mx + b. m is the slope and b is the y-intercept (number y equals when x = 0). If m = 3 and b = 1, the equation would be y = 3x + 1.
Here, you have just solved for m and know it equals 2. Plug that value in for m.
y = 2x + b
To solve for b, plug one ordered pair in for x and y. I will use (1,0)
0 = 2(1) + b
0 = 2 + b
-2 = b
Now that you know b = -2, plug that in for b.
y = 2x - 2. Now you have the equation fo the line.
