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horrorfan [7]
4 years ago
6

Finding the percent of increase or decrease

Mathematics
1 answer:
madam [21]4 years ago
4 0
What is the question
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What is 83 times 13?
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1079

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30 out of 40 is equal to what percent
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%75

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30/40 is equal to 0.75

0.75 is also %75

Answer:  %75

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What is sin(C)? Please explain.
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sin(C) = opposite side / hypotenuse

= 15/17

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Please help me, thanks if you do
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It represents the initial number of bacteria to start with. It can represent nothing else.

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3 years ago
) How many degrees of freedom are available for hypothesis tests and confidence intervals for single regression coefficient
sladkih [1.3K]

Answer:

We use students' t distribution therefore degrees of freedom is v= n-2

Step-by-step explanation:

<u>Confidence Interval Estimate of Population Regression Co efficient β.</u>

To construct the confidence interval for β, the population regression co efficient , we use b, the sample estimate of β. The sampling distribution of b is normally distributed with mean β and a standard deviation σ.y.x / √(x-x`)². That is the variable z = b - β/σ.y.x / √(x-x`)² is a standard normal variable. But σ.y.x  is not known so we use S.y.x and also student's t distribution rather than normal distribution.

t= b - β/S.y.x / √(x-x`)² = b - β/Sb    [Sb = S.y.x / √(x-x`)²]

with v= n-2 degrees of freedom.

Consequently

P [ - t α/2<  b - β/Sb  < t α/2] = 1- α

or

P [ b- t α/2 Sb<   β  < b+ t α/2 Sb] = 1- α

Hence a 100( 1-α) percent confidence for β the population regression coefficient for a particular sample size n <30  is given by

b± t α/2 Sb

Using the same statistic a confidence interval for α can be constructed in the same way for  β  replacing  a with b and Sa with Sb.

a± t α/2 Sa

Using the t statistic  we may construct the confidence interval for U.y.x for the given value X0 in the same manner

Y~0 ± t α/2(n-2) SY~

Y~0= a+b X0

4 0
3 years ago
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