So we know if there are 5 groups/dozens of Monarch butterflies, there are 2 groups/dozens of Queen butterflies. In other words, there are 5 Monarch butterflies for every 2 Queen butterflies.
Then we can turn that into an equation.
From the last equation we wrote we can see that the total number of butterflies in the farm is
.
When we compare the Queen butterflies to total butterflies, we get
The ratio of Queen butterflies to total butterflies is 2:7.
Answer:
0.0623 ± ( 2.056 )( 0.0224 ) can be used to compute a 95% confidence interval for the slope of the population regression line of y on x
Step-by-step explanation:
Given the data in the question;
sample size n = 28
slope of the least squares regression line of y on x or sample estimate = 0.0623
standard error = 0.0224
95% confidence interval
level of significance ∝ = 1 - 95% = 1 - 0.95 = 0.05
degree of freedom df = n - 2 = 28 - 2 = 26
∴ the equation will be;
⇒ sample estimate ± ( t-test) ( standard error )
⇒ sample estimate ± ( 
) ( standard error )
⇒ sample estimate ± ( 
) ( standard error )
⇒ sample estimate ± ( 
) ( standard error )
{ from t table; ( ) = 2.055529 = 2.056
so we substitute
⇒ 0.0623 ± ( 2.056 )( 0.0224 )
Therefore, 0.0623 ± ( 2.056 )( 0.0224 ) can be used to compute a 95% confidence interval for the slope of the population regression line of y on x
<h3>
Answer: Choice D. 
</h3>
The red angle markers show those two angles are congruent. That's one "A" of "ASA". The S refers to a congruent pair of sides. We don't have any tickmarks to indicate congruent pairs; however, we do know that QR = QR is a shared side that overlaps (reflexive theorem). So this is the "S" in "ASA".
The thing missing is the angle Q of the top triangle, and also of the bottom triangle as well. If we know those two angles are congruent, then we have enough info to use ASA. More specifically, if we know that , then we can use ASA.
One thing to notice is that the other answer choices involve side lengths and not angles. This implies that if A, B or C were one of the answers, then we would have something like SAS or SSS. But instead we want ASA. So we can immediately rule choices A,B, and C out.
The number is 999777888.
S<u>tep-by-step explanation:</u>
Reaching to the answer by solving the clues one by one.
The number is a 9 digit whole number. So it has to be 0 or greater than 0
The number is even .So its last digit will be even.
Each of the digit appears exactly thrice. So there will be three digits used three times each in the number.
Each digit is greater than 6. So there will be no digits less than 7 in the number.
All the digits in each period are same. So a period of three adjacent digits will have same the same digit.for ex.777 is a period
The number is greater than 7. So the digit in the millions place and higher is 9.
The number is divisible by 3. So the sum of all the digits should be divisible by 3.
The number is divisible by 4. So the number formed by last two digits of the number should be divisible by 4.
Thousands digit is 7.
The number that satisfies all the given conditions is 999777888.
Answer: 6.06 seconds
Step-by-step explanation:
This will not factor. The ball will hit the ground 6.06 seconds after thrown.
