<h3>
Answer:</h3>
The reasoning is correct. The ratio of number of bulbs tested to defective bulbs is always 14 to 1.
<h3>
Step-by-step explanation:</h3>
We generally expect industrial processes to produce defects at about the same rate, meaning the proportion of defective product is generally considered to be a constant. Here, the proportion of defective bulbs is ...
... 1/14 = 2/28 = 6/84
so we expect it will be also 24/336. That is, the ratio of the number of bulbs tested to defective bulbs is expected to remain constant at about 14.
Answer:
answer is y = 3/4x - 5
Step-by-step explanation:
picture below.
The 3/4 comes from the line. You would use rise over run to find the slope, which in this case is 3/4. and the -5 is basically the y-intercept
The quadratic model is given by:
y = ax2 + bx + c
We evaluate three points to find the values of a, b and c.
We have then:
For (0, 200):
200 = a (0) 2 + b (0) + c
c = 200
For (0.5, 195):
195 = a * (0.5) ^ 2 + b * (0.5) +200
195-200 = a * (0.5) ^ 2 + b * (0.5)
-5 = 0.25a + 0.5b
For (1, 185):
185 = a * (1) ^ 2 + b * (1) +200
185-200 = a * (1) ^ 2 + b * (1)
-15 = a + b
Solving the system:
-5 = 0.25a + 0.5b
-15 = a + b
We have the following results:
a = -10
b = -5
Substituting:
y = -10x ^ 2 - 5x + 200
For x = 3 we have:
y = -10 (3) ^ 2 - 5 (3) + 200
y = - 90 - 15 + 200
y = 95
Answer:
the height at 3 seconds is:
y = 95 feet
Answer:
C : $58.36
Step-by-step explanation:
Given:
A store holiday sale has an item marked down by $10.
Discount on new price = 25%
Final price was $36.27.
Question asked:
what was the original ?
Solution:
Let original price = 
New price = 
Original price - marked down amount - discount amount = $36.27
Adding both side by 7.5
Dividing both side by 0.75
Therefore, the original price was $58.36
All triangle add up to 180
so 180-(96+48)
which is 36
so 36 is the missing interior angle
now all lines also equal 180
so 180-36=x
x=144
