Answer:
Confidence interval: (21.9, 32.9).
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 26 - 1 = 25
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 25 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.485
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 27.4 - 5.5 = 21.9 hours
The upper end of the interval is the sample mean added to M. So it is 27.4 + 5.5 = 32.9 hours
Confidence interval: (21.9, 32.9).
VX = 204
Divide by 3 to get the 2/3 , 1/3 ratio of the segments
204/3= 68
68*2= 136
VW= 136, XW= 68
Do the same for RW, RY
RW= 104 this is 2/3 of the segment. Divide by 2.
WY= 52. RY= 156
#7
Find the midpoint of each side. (0,2) (7,4) m1=(3.5,3)
(0,3) (5,0) m2=(2.5,1.5)
(5,0) (7,4) m3=(6,2)
Draw a segment from each midpoint to its opposite vertex. The point of intersection is (4,2)
Answer:
25º celsius
Step-by-step explanation:
The formula for converting fahrenheit to celsius is: Deduct 32, then multiply by 5, then divide by 9
77 - 32 = 45 x 5 = 225/9 = 25º
Answer:
3.24
Step-by-step explanation:
You would use the two fonts given to find the scale factor.
So the scale factor would be 10.4976/5.832 = 1.8
So if the scale factor is 1.8 we can use that to find the font size just before that. To do this you would divide the font size by the scale factor.
So
5.832/1.8 = 3.24
The font size just before 5832 is 3.24.
Hope this helps, if there is an error in my work please correct me.
The question in English
<span>A dance was attended by 270 people. If the gentlemen tickets cost 100 pesos and the lady tickets 80 pesos and 24800 pesos were collected for all the tickets. How many women and how many men attended the dance?
let
x---------> the number of men
y--------> the number of women
we know that
x+y=270----> x=270-y-----> equation 1
100x+80y=24800-------> equation 2
substitute equation 1 in equation 2
100*[270-y]+80y=24800----> 27000-100y+80y=24800
20y=2200-----> y=110
x=270-y----> x=270-110----> x=160
the answer is
the number of men ---> 160
the number of women----> 110
the answer in Spanish
</span>hagamos
x--------->la cantidad de hombres
y--------->la cantidad de mujeres
Sabemos que
x+y=270----> x=270-y-----> ecuacion 1
100x+80y=24800-------> ecuacion 2
sustituimos la ecuacion 1 en la ecuacion 2
100*[270-y]+80y=24800----> 27000-100y+80y=24800
20y=2200-----> y=110
x=270-y----> x=270-110----> x=160
La respuesta es
la cantidad de hombres es 160
la cantidad de mujeres es 110