Answer:
The appropriate solution is:
(a) 0.1056
(b) 0
(c) 0.9544
Step-by-step explanation:
The given values are:
Mean,

Standard deviation,

(a)
⇒ 



By using the table, we get


(b)
According to the question, the values are:
= 64
= 75
Now,
⇒
= 
= 
= 
= 
⇒ 
![=1 - P[\frac{(\bar x-\mu_\bar x)}{\sigma \bar x} < \frac{80-75}{0.5} ]](https://tex.z-dn.net/?f=%3D1%20-%20P%5B%5Cfrac%7B%28%5Cbar%20x-%5Cmu_%5Cbar%20x%29%7D%7B%5Csigma%20%5Cbar%20x%7D%20%3C%20%5Cfrac%7B80-75%7D%7B0.5%7D%20%20%5D)

By using the table, we get


(c)
As we know,
⇒
= 
= 
= 
= 
then,
= 
= ![P[\frac{74-75}{0.5} < \frac{\bar x-\mu \bar x}{\sigma \bar x} < \frac{76-75}{0.5} ]](https://tex.z-dn.net/?f=P%5B%5Cfrac%7B74-75%7D%7B0.5%7D%20%3C%20%5Cfrac%7B%5Cbar%20x-%5Cmu%20%5Cbar%20x%7D%7B%5Csigma%20%5Cbar%20x%7D%20%3C%20%5Cfrac%7B76-75%7D%7B0.5%7D%20%5D)
= 
=
By using the table, we get
= 
= 
Answer:
85 square inches
Step-by-step explanation:
I think your question missed key information, allow me to add in and hope it will fit the orginal one. Please have a look at the attached photo
My answer:
From the question, four congruent equilateral triangles with the following information:
=> The area of the quilateral triangle is:
=1/2*the base*the height
= 1/2*60.6*7
= 21.21 square inches
=> the surface area of Abby's decoration is:
= 4 * The area of the quilateral triangle
= 4*21.21
= 84.84 square inches
≈ 85 square inches
Hope it will find you well.
Answer:
132cm ^ 2
Step-by-step explanation:
First solve the top rectangle, 4x7 = 28cm
then solve the bottom rectangle, 8x7 = 56cm
then solve the triangle, we know the entire bottom is 19cm, and 7 is subtracted, thereforth leavin 12, since there is 2 triangles its a base of 6, with a height of 8 making 48cm (and since there is 2 triangles no need to divide by 2)
28+56+48 = 132cm^2
-- Gage Millar, Algebra 2 Tutor
Answer:$25.80
Step-by-step explanation:
6.45/5 = 1.29
1.29 x 20 =25.80
D D B I think this should be right