Answer: Annabelle is using the a measure of central tendency defined as the Mode.
Step-by-step explanation: A measure of central tendency in its simplest definition is a single value or measure that can safely be used to represent all members belonging to an entire set of given data. Hence, as a good illustration, one figure can be used to confidently represent all other ninety nine figures where a set of one hundred figures were given.
The mean, median and mode are commonly accepted measures of central tendency.
The mode is the most frequently occurring value in a given set of data. As such, the modal value is statistically acceptable as a representative of the entire set of values or data.
If Annabelle measures the sides of 15 right triangles and based on her observations, she concludes that for any right triangle the sum of the squares of the two legs is equal to the square of the hypotenuse, what she has done is taking the most frequently occurring value, and in her experiment, the most frequent of all observed data satisfies the Pythagorean Theorem.
That is why Annabelle can confidently make her assumption.
Answer:
The value of the equation 
.
Step-by-step explanation:
Consider the provided equation.
We need to solve the provided equation for y.
Subtract 3x from both side.
Divide both sides by 7.
Hence, the value of the equation is .
Ho ho ho, lets get this party started
ok so I'm just really excited to use this stuff that I just learned
so
multiplicites
if a root or zero has an even multilicity, the graph bounces on that root
if the root or zero has an odd multiplicty, the graph goes through that root
so
roots are
-1
2
4
multiplicty is how many times it repeats
2 has even multiplity
we just do 2 is odd and 1 is even so
for roots, r1 and r2, the facotrs would be
(x-r1)(x-r2)
so
(x-(-1))^1(x-2)^2(x-4)
(x+1)(x-2)^2(x-4)
this is a 4th degre equaton
normally, it is goig from top right to top left
it is upside down
theefor it has negative leading coefient
y=-k(x+1)(x-4)(x-2)^2
Answer:
a
The 90% confidence interval is 
b
Confidence interval for the population men between <u>$52561.13</u> up to <u>$57540.8</u>
Step-by-step explanation:
From the question we are told that
The sample size is 
The sample mean is 
The standard deviation is 
Given that the confidence level is 90% then the level of confidence is mathematically represented as
Next we obtain the critical value of 
from the normal distribution table the values is
Generally the margin of error is mathematically represented as
substituting values
The 90% confidence interval is mathematically evaluated as
substituting values
Area of parallelogram = base * height
base 1 = 4.2 cm
height 1 = 3.6 cm
∴ Area = 4.2 * 3.6 = 15.12
let the other base 2 = x
∴ the altitude of this base = height 2 = 2.4
∴Area = 2.4 x = 15.12
Solve for x
∴ x = 6.3 cm
∴ The perimeter of parallelogram = 2( base 1 + base 2)
= 2 ( 4.2 + 6.3 ) = 21 cm
