An arrow is shot vertically upward at a rate of 210 feet per second. Use the projectile formula
2 answers:
Answer:
The arrow is at a height of 500 feet at time t = 2.35 seconds.
Step-by-step explanation:
It is given that,
An arrow is shot vertically upward at a rate of 250 ft/s, v₀ = 250 ft/s
The projectile formula is given by :
We need to find the time(s), in seconds, the arrow is at a height of 500 ft.
So,
On solving the above quadratic equation, we get the value of t as, t = 2.35 seconds
So, the arrow is at a height of 500 feet at time t = 2.35 seconds. Hence, this is the required solution.
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Answer:
a)<em> Null hypothesis : H₀</em>: the proportion of defective item of computer has been lowered. That is P < 0.15
<u><em>Alternative hypothesis: H₁:</em></u> The proportion of defective item of computer
has been higher. That is P> 0.15 (Right tailed test)
b) Test statistic
c) Calculate the value of the test statistic = 0.991
d) The critical value at 0.01 level of significance = Z₀.₀₁ = 2.57
e) Null hypothesis accepted at 0.01 level of significance
f) we accepted null hypothesis.
Hence t<em>he proportion of defective item of computer has been lowered. </em>
Step-by-step explanation:
<u>Step(i)</u>:-
<em>Given the sample size 'n' = 42</em>
Given random sample of 42 computers were tested revealing a total of 4 defective computers.
The defective computers 'x' = 4
<em>The sample proportion of defective computers </em>
<em>Given The Population proportion 'P' = 0.15</em>
<em>The level of significance ∝=0.01</em>
<u>Step(ii)</u>:-
a)<em> Null hypothesis : H₀</em>: the proportion of defective item of computer has been lowered. That is P < 0.15
<u><em>Alternative hypothesis: H₁:</em></u> The proportion of defective item of computer
has been higher. That is P> 0.15 (Right tailed test)
b)
Test statistic
c)
Calculate the value of the test statistic Z = - 0.9991
|Z| = |- 0.9991| = 0.991
<u>Step(iii)</u>:-
d)
The critical value at 0.01 level of significance = Z₀.₀₁ = 2.57
e) Calculate the value of the test statistic Z = 0.991 < 2.57 at 0.01 level of significance.
<u><em>Conclusion</em></u>:-
Hence the null hypothesis is accepted at 0.01 level of significance.
f)
<em> The proportion of defective item of computer has been lowered.</em>
Answer:
The answer to the question is
37.5 ft² of fabric is needed to make the parallelogram pieces for 24 blocks.
Step-by-step explanation:
To answer the question, we note that a parallelogram is a four sided polygon having two opposite parallel sides.
Therefore in this question, we select our parallelogram to be a rectangle
Number of pieces of parallelogram in a quilted block = 8
Number of parallelogram in each quadrant of the quilted block = 2
Therefore the height of the rectangle = 2 × the base = 2× = 7.5 inches
Therefore the area of each parallelogram = base × height
= =
in²
since each quilted block uses 8 parallelogram, then the amount of fabric for each quilted block is
Hence 24 blocks wil require 24×225 in² = 5400 in²
However, since 144 in² = 1 ft² we have
5400 in² = 5400 in²× 1/144 ft²/in² = 37.5 ft².