The answer would be yes. The way to solve this is by simplifying the first ratio. The first ratio should be girls to boys, which is 6:9. And since ratio can be fractions, 6:9 could be 6/9. Since 6/9 can simplify, you would get 2/3. Now we need to add the 2 girls and 3 boys back into the ratio. The ratio would then look like 8:12. And 8:12 could be 8/12, and 8/12 can be simplify, we get 2/3. So this means that the ratio stayed the same.
Using the fundamental theorem of calculas the derivative of function g(x)=
at x=0 is 
.
Given a function g(x)=.
We are required to find the derivative of the function g(x) at x=0.
Function is relationship between two or more variables expressed in equal to form. The values entered in a function are part of domain and the values which we get from the function after entering of values are part of codomain of function. Differentiation is the sensitivity to change of the function value with respect to a change in its variables.
g(x)=
Differentiating with respect to x.
d g(x)/dx=+0 [Differentiation of x is 1 and differentiation of constant is 0]
=
Hence using the fundamental theorem of calculas the derivative of function g(x)= at x=0 is .
The function given in the question is incomplete. The right function will be g(x)=.
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Answer:
length of rectangle=16 inches
width of rectangle=10.5 inches
Step-by-step explanation:
given ,perimeter of rectangle=53 inches
let ,length of rectangle= l=2b-5
width of rectangle=b
p=2(l+b)
53=2(2b-5+b)
26.5=3b-5
31.5=3b
b=
b=10.5 inches
l=21-5=16 inches
Answer:
a) the proportion of 95% confidence intervals that include the population proportion approaches 0.95
b) Sample proportion does not include the population proportion then the sample proportion is more than 1.96 standard error from the population proportion
Step-by-step explanation:
a)
Given the the data in the question, confidence level is 95%.
In this case as the number of samples increases, the proportion of 95% confidence intervals that include the population proportion approaches 0.95. hence the expected value of the proportion.
b)
Given the the data in the question, confidence level is 95% and sample proportion
we know that In normal distribution 68% confidence indicate one standard deviation, 95% confidence indicate 2 standard deviation while 99.97% confidence indicate 3 standard deviation.
The sample proportion does not include the population proportion, in 95% confidence from the standard normal table 0.95 value lies within the critical value of 1.96 approximately 2.
hence ( z =2 ) that satisfied the 1.96 standard error from the population proportion
hence, Sample proportion does not include the population proportion then the sample proportion is more than 1.96 standard error from the population proportion
