$27.55
29.95 x 8% (aka .08) = 2.396
29.95- 2.396 = 27.55
There were 10 small boxes shipped and 12 large boxes shipped.
Step-by-step explanation:
Given,
Weight of each small box = 35 pounds
Weight of each large box = 85 pounds
Total boxes = 22
Total weight of shipment = 1370 pounds
Let,
Number of small boxes = x
Number of large boxes = y
According to given statement;
x+y=22 Eqn 1
35x+85y=1370 Eqn 2
Multiplying Eqn 1 by 35
Subtracting Eqn 3 from Eqn 2
Dividing both sides by 50
Putting y=12 in Eqn 1
There were 10 small boxes shipped and 12 large boxes shipped.
Keywords: linear equation, elimination method
Learn more about elimination method at:
#LearnwithBrainly
From the graph,
g(2) = 4 ( from the coordinate (2,4))
[ The green line represent the function g(x)]
f(2)= 0
[ The red line represent the function f(x)]
(g + ƒ)(2) = g(2)+f(2) = 4+0 = 4
OPTION A is the correct answer
Answer:
The slope of line that contain the points ( - 0.5 , 4 ) and has y- intercept of - 5 is -18
Step-by-step explanation:
Given as :
The points that satisfy the line is ( - 0.5 , 4 )
The y - intercept = - 5
The equation of line is
y = m x + c
Where m is the slope of line
∵ For y- intercept , c = - 5
Now, points on the line is ( - 0.5 , 4 ) and y intercept c = - 5 is
y = m x + c
or, 4 = m × ( - 0. 5 ) + ( - 5 )
Or, 4 = - 0. 5 m - 5
or, 4 + 5 = - 0.5 m
Or, 9 = - 0. 5 m
∴ m =
So, Slope = m = - 18
Hence the slope of line that contain the points ( - 0.5 , 4 ) and has y- intercept of - 5 is -18 Answer
Answer:
Because z is higher than any given value in the chart we come to the conclusion To reject null hypothesis
Step-by-step explanation:
Sample proportion = p= 531/648 = 0.8194
This is the proportion of men that were hit by lightening
Null hypothesis: H0: p = 0.5
Alternate hypothesis: H1: p ≠ 0.5
Test statistics z = 0.8194-0.5/(√0.5x0.5/648)
= 0.8194-0.5/√0.0003858
= 0.3194/0.019642
= 16.26
Since the z > 1.96 (at 5% significance) we reject the null hypothesis.
Therefore in conclusion we say z is higher than given values in the chart so we reject null hypothesis.
Please check attachment!