13/14 is already in simplest form because they have no common factors.
Answer: 3/16 of the bag
Step-by-step explanation: 3/4 divided by 4 is the same as 3/4 * 1/4 which is 3/16
Answer: B. 84 in²
Step-by-step explanation:
Divide the area into two regions: a rectangle and a trapezoid (depicted in the attached photo).
Find the area of the rectangle:
Area of a rectangle=length*width
Area of rectangle=(5 in)( 10 in)
Area of rectangle=50 in²
Next, calculate the area of the trapezoid:
Area of trapezoid=
h=10 in-6 in
h=4 in



Area of trapezoid=
Area of trapezoid=
Area of trapezoid=
Area of trapezoid=
Add the area of the trapezoid to the area of the rectangle to find the total area: 50 in²+34 in²=84 in²
Answer:
The probability that the average of the scores of all 400 students exceeds 19.0 is larger than the probability that a single student has a score exceeding 19.0
Step-by-step explanation:
Xi~N(18.6, 6.0), n=400, Yi~Ber(p); Z~N(0, 1);


P(Xi≥19.0)=0.473

p=0.473
Yi~Ber(0.473)

Based on the Central Limit Theorem:

Then:


Based on the Central Limit Theorem:


Then:
the probability that the average of the scores of all 400 students exceeds 19.0 is larger than the probability that a single student has a score exceeding 19.0
Answer:
y = 3x - 4
Step-by-step explanation:
Slope-intercept is defined <em>y = mx + b</em>
Where m = slope (change in y-coordinate/ change in x-coordinate)
and b = y-intercept (where the graph crosses the y-axis)
For every 1 unit the line moves horizontally... it travels 3 units vertically. Therefore the slope (m) equals 3/1 or 3
The line crosses the y-axis at -4. Therefore... the y-intercept (b) is -4
I hope this helps!