The 95 percent confidence interval for the mean is (266.76,426.24).
A confidence interval is how much uncertainty there is with any particular statistic. Confidence intervals are often used with a margin of error. It tells you how confident you can be that the results from a poll or survey reflect what you would expect to find if it were possible to survey the entire population. Confidence intervals are intrinsically connected to confidence levels.
The formula of Confidence Interval = Mean ± [tex]t\frac{Standard Deviation}{\sqrt{number of observations} }[/tex]
where t is a constant
Given:
Mean = 346.5
Standard Deviation = 170.378
t-critical value for 95% Confidence interval with degrees of freedom(df)=n-1= 19 is 2.093
∴ Substituting values in formula we get
E = [tex]2.093 X170.378/\sqrt{20}[/tex] = 2.0931.96 x 38.0976=79.74
95% Confidence interval : (346.5-79.74,346.5+79.74)
95% Confidence interval : (266.76,426.24)
Learn more about confidence intervals here :
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Which additional piece of information would allow you to
prove that the triangles are congruent by the HL theorem?
Answer:
another leg
Step-by-step explanation:
bc thats fax
Help I will be marking brainliest!!!!
A. 274
B. 300
C. 306
D. 316
Answer:
300 units
Step-by-step explanation:
PLEASE HELP ME ASAP I NEED THEM IN THE NEXT 5 MINUTES
Answer:
[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]
Step-by-step explanation:
C = (0, 7)
Since, point A lies in y-axis, so it's x coordinate will be zero. Line y = 2x + 1 passes through point A.
Therefore, plug x = 0 in y = 2x +1, we find:
y = 2*0 + 1 = 0 + 1 = 1
Hence, coordinates of point A are (0, 1).
Now, by distance formula:
[tex] AC= \sqrt{(0-0)^2 +(7-1)^2} [/tex]
[tex] AC= \sqrt{(0)^2 +(6)^2 }[/tex]
[tex] AC= \sqrt{0 +36 }[/tex]
[tex] AC= \sqrt{36 }[/tex]
[tex] AC= 6\: units[/tex]
Length of perpendicular CB dropped from point C (0, 7) to line y = 2x + 1 or 2x - y + 1 = 0 can be obtained as given below:
[tex] CB =\frac{|2\times 0+(-1)\times 7+1|}{\sqrt {2^2 +(-1)^2} } [/tex]
[tex] CB =\frac{|0-7+1|}{\sqrt {4 +1} } [/tex]
[tex] CB =\frac{|-6|}{\sqrt {5} } [/tex]
[tex] CB =\frac{6}{2.24} [/tex]
[tex] CB =2.68\: units [/tex]
By Pythagoras Theorem:
[tex] AB=\sqrt{AC^2 - CB^2} [/tex]
[tex] AB=\sqrt{6^2 - (2.68)^2} [/tex]
[tex] AB=\sqrt{36 - 7.18} [/tex]
[tex] AB=\sqrt{28.82} [/tex]
[tex] AB=5.36842621\: units [/tex]
[tex] AB\approx 5.37\: units [/tex]
[tex] A(\triangle ABC) = \frac{1}{2} \times AB\times CB[/tex]
[tex] A(\triangle ABC) = \frac{1}{2} \times 5.37\times 2.68[/tex]
[tex] A(\triangle ABC) = \frac{1}{2} \times 14.3916[/tex]
[tex] A(\triangle ABC) = 7.1958[/tex]
[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]
Hope it be correct.
How much are you paying in tax on a $95 skateboard if the sales tax is 6%? (Just the tax amount!)
95(6%) = 5.7
you are paying $5.70 cents in tax.
5.70
6% of 95 is 5.7
so its $5.70
How much greater than a whole is...
A)10/7
B) 6/5
C)4/3
Will give brainiest If correct
Answer:
For A, 3/7 greater than a whole
For B, 1/5 greater than a whole
For C, 1/3 greater than a whole
Step-by-step explanation:
Subtract the number on the left from the number on the right. then put what you get over the number on the right
Answer:
Step-by-step explanation:
A) 10/7 - 1 = 10/7 - 7/7 = 3/7
10/7 is 3/7 greater than a whole.
B) 6/5 - 1 = 6/5 - 5/5 = 1/5
6/5 is 1/5 greater than a whole.
C) 4/3 -1 = 4/3 - 3/3 = 1/3
4/3 is 1/3 greater than a whole.
1. What must be multiplied to (x + 1) to obtain (x2 + 4x + 3)?
2. A cube has a side measure of (5x), find the volume of the cube.
3. Find the circumference of a plate if its radius measures (x + 7).
4. A notebook cost (2x + 5) pesos while a pencil cost (x - 7) pesos. What is the total cost
of 5 notebooks and 2 pencils?
5. A box measures (a + 2) cm by (a - 2) cm by 4 cm. Find the volume of the box.
6. The cost of 1 kilo of chicken is (x2 + 8x - 3). How much a 4 kilos of chicken cost?
Answer:
[tex]1. x + 3 \\ 2.125 {x}^{3} \\ 3.2\pi(x + 7) \\ 4.12x + 11 \\ 5.4{a}^{2} - 16 \\ 6.4 {x}^{2} + 32x - 12[/tex]
Order the values below from least to greatest.
Least
1
2 x 104
2
5.3 x 10-2
3
1.56 x 103
4
7.6 x 102
Greatest
The graph below shows a linear representation of a jogger’s heartbeat in beats per minute, as his speed is increased (in feet per second). What is the slope of the line?
Answer:
The slope is 3.75 OR 3 3/4.
Step-by-step explanation:
So the formula for slope I am using NOW, is based on the variables I named my dimensions. WARNING: NOT SLOPE FORMULA YOU MIGHT BE USING
y = 95 - 80
x = 10 - 6
Slope Formula: y/x
Substituted Slope Formula: (95 - 80)/(10 - 6)
Simplified Substituted Slope Formula: 15/4 OR 3.75
Hope this helps!!
Answer:
15/4
Step-by-step explanation:
I checked ;)
HELP HELP HELP HELP HELP PLSSSSSSS IM STUCK ASAPPP
Answer:
D is correct
Step-by-step explanation:
because 7×2=14 and 7 times as 2 is 14
please mark me as brainliest answer
) Complete the sentence.
+) Omar can buy ?
pairs of socks.
Answer:
Omar can buy a bunch of pairs of socks.
Step-by-step explanation:
u didnt give me an equation to solve
Answer:
At most of 7
Step-by-step explanation:
broooooooo help me wit this plzz man
Answer:
Ok so first one is 4/9x 2nd is (10 11/15) (x) 3rd is 9/20 and the 4th is 3 3/44
Step-by-step explanation:
Hope this helps! i learned this last semester :)
Hi can someone please help The inverse of a function contains the points (3,12). (-3,10). (2,6), and
(5,7). Which of the following points is contained within the original
function?
(-3,-10)
(-6,2)
(7,5)
(-12,3)
Answer:
(7,5)
Step-by-step explanation:
(7,5) inversed would be (5,7). (5,7) is one of the points contained in the function above.
solve the system of linear equation by graphing
y=x-7
y=-2x+5
Answer: (4,-3)
jfwfhwghfhkhhhsfufufcbvhvus
Find the slope!! Please helpp
Answer:
slope = 1/2
Step-by-step explanation:
the line is rising 1 box for every 2 boxes it goes over
Answer: Y=1/2x+3 (1/2 should be your slope)
Step-by-step explanation:
What is the additive inverse of -7?
O A. -7
O B. 7
C. -|-7|
D. -(-(-7))
Answer:
B
Step-by-step explanation:
Problem 44. The sum of a certain quantity "p" together with two-third of that number, and one-third of that number, becomes 234. What is the quantity "p"? (HINT: Write the equation out and solve)
Answer:
[tex]p=117[/tex]
Step-by-step explanation:
Given number is [tex]p[/tex].
Two-third of the number = [tex]\frac{2}{3}p[/tex]
One-third of the number = [tex]\frac{p}{3}[/tex]
The sum of a certain quantity [tex]p[/tex] together with two-third of that number, and one-third of that number, becomes 234.
[tex]p+\frac{2}{3}p+\frac{p}{3}=234\\\\\frac{3p+2p+p}{3}=234\\\\\frac{6p}{3} =234\\\\2p=234\\p=117[/tex]
WILL MARK BRAINLIEST!
help I need it :| :|
Step-by-step explanation:
x= 2 y = 10
x= 0 y = 8
x= 4 y = 12
please help me i have no idea how to do this and i’m failing
Answer:
x = 6.4
Step-by-step explanation:
ignore the rectangle part and cut it off. You'd get a triangle with legs of 5 and 4. do the hypotenuse thing. a squared + b squared = c squared. 5 squared + 4 squared = x squared. when you solve, you get rad 14, which simplifies to 6.4
Answer:
x=5
Step-by-step explanation:
see image
i used the pythagorean theorem, although if you know about 345 triangles, thats also a suitable explanation.
¿Cuál es la mediana de 9,3 y 6,8 ????? or what is the median of 9.3 and 6.8?
Answer:
The median is 8.05
Step-by-step explanation:
1. 2x + 7 = 2x - 7
2. 3x + 8 = -2x + 8
3. 4(x + 1) = 4x + 4
Answer:
1. 0 = -14
2. x = 0
3. 0 = 0
Step-by-step explanation:
I hope this helps have a great day
how do you do trigonometric Ratios
someone pls help it's worth tons of points
Answer:
x = 8 b = -1 m = 3 x = 4
k = 4 m = 5 n = 8 x = -3
p = -7 x = -3 x = 8 v =1 x = 0
Step-by-step explanation:
Subtract -7x^2+4x+2−7x
2
+4x+2 from x^2-3x
2
−3.
Answer:
-8x² - 12x + 1
Step-by-step explanation:
just add or subtract values with the same terms. eg -7x + 4x ,, etc
mohon bantuannya guys soal limit, thanks
Answer:
im anserring for brainly points
Step-by-step explanation:
none honestly sorry
sorry but the last answer is a bit glitched out
Answer:
Because of the options you have, I believe it is GJ
Step-by-step explanation:
Hope that helps!
un pantalón se fabrica con 3/7de tela.¿Cuántos pantalones se pueden hacer con 36 metros de tela ?
Answer:
sam has egg plant seeds she puts the seed up her as/s hopeing for big egg plants to come out fast Forward 6 days in the past no egg plant are up her a/ss yet why is thath
Step-by-step explanation:
The sum of 2 numbers is 5. The larger number exceeds twice the smaller number by 14. Find the
numbers.
Answer:
I think 4 i don't know I tried
Find the missing side length will give crown
Answer: First of all, how much is it in all?
Step-by-step explanation:
Answer:
9 cm
Step-by-step explanation:
Call that length x.
We have: x + 5 = 14
=> x = 14 - 5 = 9 cm
Help me solve this please!!
Answer:
The answer is
[tex]a = 9 \sqrt{3} \: and \: b = 9[/tex]
Answer:
B
Step-by-step explanation:
Using the sine/ cosine ratios in the right triangle and the exact values
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , cos60° = [tex]\frac{1}{2}[/tex]
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{18}[/tex] ( multiply both sides by 18 )
18 × sin60° = a , then
a = 18 × [tex]\frac{\sqrt{3} }{2}[/tex] = 9[tex]\sqrt{3}[/tex]
-------------------------------
cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{b}{18}[/tex] ( multiply both sides by 18 )
18 × cos60° = b , then
b = 18 × [tex]\frac{1}{2}[/tex] = 9