<u>We are given:</u>
The function: y = -16t² + 64
where y is the height from ground, t seconds after falling
<u>Part A:</u>
when the droplet would hit the ground, it's height from the ground will be 0
replacing that in the given function:
0 = -16t² + 64
16t² = 64 [adding 16t² on both sides]
t² = 4 [dividing both sides by 16]
t = 2 seconds [taking square root of both sides]
<u>Part B:</u>
for second droplet,
height from ground = 16 feet
time taken = t seconds
acceleration due to gravity = 10 m/s²
initial velocity = 0 m/s
h = ut + (1/2)at² [second equation of motion]
16 = (0)(t) + (1/2)(10)(t²)
16 = 5t²
t² = 16/5
t = 1.8 seconds (approx)
Therefore, the second droplet takes the least amount time to hit the ground
Answer:
White: 2/5
Dark: 3/5
Step-by-step explanation:
There are 5 sections and there are 2 white spots and 3 dark spots.
So, 2 out of the 5 sections are white which is 2/5 and 3 out of the 5 sections is dark which is 3/5.
<u>Solution</u><u>:</u> 9:x = x:4
⇛9/x = x/4
By doing cross multiplication, we get
⇛9(4) = x(x)
⇛36 = x²
⇛x² = 36
⇛x = √(36)
⇛x = √(6*6)
∴ x = 6 Ans.
<u>also</u><u> read</u><u> similar</u><u> questions</u><u>:</u><u> </u>Which equations have the same value of x as 2/3(6x+12)=-24? Check all that apply.1. 4x+8=24 2. 9x+18=-24 3. 4x+12=-24 4. 18x+36/2=-24 5. 4x=-36 6. 4x=-32 7. x=-... brainly.com/question/6702722?referrer
Answer:
The 95% confidence interval for the difference is (-0.1888, 0.0202).
Step-by-step explanation:
Difference between proportions:
The distribution of the difference between two proportions has mean of the difference between these proportions and standard deviation is the square root of the sum of the variances. So
In a sample of 86 units made with gold wire, 68 met the specification
This means that:
In a sample of 120 units made with aluminum wire, 105 met the specification.
This means that:
Difference:
Confidence interval:
In which z is the zscore that has a pvalue of 
, with 
being 1 subtracted by the confidence level.
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
Lower bound of the interval:
Upper bound of the interval:
The 95% confidence interval for the difference is (-0.1888, 0.0202).
Answer:
1/12 gallon
Step-by-step explanation:
Each container got 1/3 of the original amount, so ...
(1/3)(1/4 gal) = 1/12 gal
Stevie put 1/12 gallon of paint in each container.
