Answer:
<em>95% of confidence intervals are</em>
<em>(31.5215 , 53.4785)</em>
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given sample size 'n' =24
Mean of the sample x⁻ = 42.5
Standard deviation of the sample 'S' = 26
<em>95% of confidence intervals are determined by</em>
<em></em>
<em></em>
<em>Degrees of freedom </em>
<em> ν =n-1 = 24-1 =23</em>
<em></em>
<em></em>
<em>95% of confidence intervals are</em>
<em></em>
<em></em>
<em>( 42.5 -10.9785 ,42.5 +10.9785)</em>
<em>(31.5215 , 53.4785)</em>
<em></em>
Answer:
a. Angle Y is a right angle.
b. The measure of angle Z is 45°.
e. The perpendicular bisector of creates two smaller isosceles triangles.
Step-by-step explanation:
Let x represent the measures of base angles X and Z. Then 2x is the measure of vertex angle Y, and the sum of angles is ...
x + x + 2x = 180°
x = 45°
2x = m∠Y = 90°
so the triangle is an isosceles right triangle which has base angles of 45°.
The perpendicular bisector of XZ is the altitude of the triangle XYZ. It creates two smaller right triangles with acute angles of 45°. Hence, those, too, are isosceles right triangles.
Answer: Yes it is reasonable.
Step-by-step explanation:
If all the numbers are rounded, 79 will be rounded to 80
12 to 10
and 11 to 10
If there are about 80 kids in 3rd grade, and about 20 kids in Mrs. Henry's class (because 10 girls plus 10 boys)
That means that 80-20
about 60 kids are not in Mrs. Henry's class
Hope this helped!
Answer:
Interest = $ 2247.00
Step-by-step explanation:
principal=$6600
Amount=$8847
time=4 years
Interest=Amount - principal
=$8847 - $ 6600
=$2247 =
=$2247.00
The distance between the points (-2, -8) and (1,-4). Whole number or a fully simplified radical expression is ![d=\sqrt{17}$](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B17%7D%24)
The formula may be used to determine the separation between two places.
![d=\sqrt{(x 1-x 2)^2+\left(y 1-y^2\right)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x%201-x%202%29%5E2%2B%5Cleft%28y%201-y%5E2%5Cright%29%5E2%7D)
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-2,-8) and (1,4)
The distance between them is
![&d=\sqrt{(-2+1)^2+(-8-(-4))^2} \\](https://tex.z-dn.net/?f=%26d%3D%5Csqrt%7B%28-2%2B1%29%5E2%2B%28-8-%28-4%29%29%5E2%7D%20%5C%5C)
Apply rule -(-a)=a
![$$d=\sqrt{(-2+1)^2+(-8+4)^2}$$](https://tex.z-dn.net/?f=%24%24d%3D%5Csqrt%7B%28-2%2B1%29%5E2%2B%28-8%2B4%29%5E2%7D%24%24)
![$$(-2+1)^2=1$$](https://tex.z-dn.net/?f=%24%24%28-2%2B1%29%5E2%3D1%24%24)
![$$(-8+4)^2=4^2$$](https://tex.z-dn.net/?f=%24%24%28-8%2B4%29%5E2%3D4%5E2%24%24)
![$$d=\sqrt{1+4^2}$$](https://tex.z-dn.net/?f=%24%24d%3D%5Csqrt%7B1%2B4%5E2%7D%24%24)
![$$\begin{aligned}&4^2=16 \\&d=\sqrt{1+16}\end{aligned}$$](https://tex.z-dn.net/?f=%24%24%5Cbegin%7Baligned%7D%264%5E2%3D16%20%5C%5C%26d%3D%5Csqrt%7B1%2B16%7D%5Cend%7Baligned%7D%24%24)
Add the numbers:
![1+16=17$ \\d=\sqrt{17}$](https://tex.z-dn.net/?f=1%2B16%3D17%24%20%5C%5Cd%3D%5Csqrt%7B17%7D%24)
Mathematical statements are called expressions if they have at least two words that are related by an operator and contain either numbers, variables, or both.
Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the phrase x + y is one where x and y are terms with an addition operator in between. There are two sorts of expressions in mathematics: numerical expressions, which only contain numbers, and algebraic expressions, which also include variables.
Learn more about expressions brainly.com/question/14083225
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