Diana is painting statues. She has \dfrac{7}{8} 8 7 start fraction, 7, divided by, 8, end fraction of a liter of paint remaini
2 answers:
Answer:
Number of statues that can be painted are 17
Step-by-step explanation:
Initially Diana has liters of paint remaining.
Every statue requires liters of paint for painting.
We have to find how many statues we will be able to paint with this remaining paint.
To get the number of statues,
Number of statues =
number of statues =
= = 17.5
Since the number of statues is not an integer the maximum number of statues that can be painted are 17.
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Hello!
<h3><em><u>Answer</u></em></h3><h3 />The surface area of the cube is 150 .
<h3><em><u>Explanation</u></em></h3>
A = 6
A = 6
A = 6 × 25
A = 150
Answer:
99% confidence interval for the population proportion of passing test scores is [0.5986 , 0.9414].
Step-by-step explanation:
We are given that a high school principal wishes to estimate how well his students are doing in math.
Using 40 randomly chosen tests, he finds that 77% of them received a passing grade.
Firstly, the pivotal quantity for 99% confidence interval for the population proportion is given by;
P.Q. = ~ N(0,1)
where, = sample proportion of students received a passing grade = 77%
n = sample of tests = 40
p = population proportion
<em>Here for constructing 99% confidence interval we have used One-sample z proportion test statistics.</em>
So, 99% confidence interval for the population proportion, p is ;
P(-2.5758 < N(0,1) < 2.5758) = 0.99 {As the critical value of z at 0.5%
level of significance are -2.5758 & 2.5758}
P(-2.5758 < < 2.5758) = 0.99
P( <
<
) = 0.99
P( < p <
) = 0.99
<u>99% confidence interval for p</u> = [ ,
]
= [ ,
]
= [0.5986 , 0.9414]
Therefore, 99% confidence interval for the population proportion of passing test scores is [0.5986 , 0.9414].
Lower bound of interval = 0.5986
Upper bound of interval = 0.9414