Answer:
the answer is C.
Step-by-step explanation:
3(2/3)
=3×2/3
=2×3/3
=2
Answer:
8+10v
Step-by-step explanation:
![\huge \green{ \boxed{ANSWER}}](https://tex.z-dn.net/?f=%20%5Chuge%20%5Cgreen%7B%20%5Cboxed%7BANSWER%7D%7D)
![10 \: + \: 9 \: = {\boxed{19}}](https://tex.z-dn.net/?f=10%20%20%5C%3A%20%20%2B%20%20%5C%3A%209%20%5C%3A%20%20%3D%20%20%7B%5Cboxed%7B19%7D%7D)
USE CALCULATOR -_-
![\mathfrak{JazmineChoi}](https://tex.z-dn.net/?f=%20%5Cmathfrak%7BJazmineChoi%7D)
<em><u>STAN </u></em><em><u>TREASURE</u></em>
The area of a triangle for one of the legs being 3 inches and the hypotenuse being 9 inches is 12.727 square inches
<em><u>Solution:</u></em>
Given that to find area of a triangle for one of the legs being 3 inches and the hypotenuse being 9 inches
From given information,
Let "c" = hypotenuse = 9 inches
Let "a" = length of one of the leg of triangle = 3 inches
To find: area of triangle
<u><em>The area of triangle when hypotenuse and length of one side of triangle is given:</em></u>
![A = \frac{1}{2} a \sqrt{c^2 - a^2}](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20a%20%5Csqrt%7Bc%5E2%20-%20a%5E2%7D)
Where, "c" is the length of hypotenuse
"a" is the length of one side of triangle
Substituting the given values we get,
![A = \frac{1}{2} \times 3 \times \sqrt{9^2 - 3^2}](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%203%20%5Ctimes%20%5Csqrt%7B9%5E2%20-%203%5E2%7D)
![A =\frac{1}{2} \times 3 \times \sqrt{81-9}\\\\A =\frac{1}{2} \times 3 \times \sqrt{72}\\\\A =\frac{1}{2} \times 3 \times 8.48528\\\\A = \frac{1}{2} \times 25.45584\\\\A = 12.727](https://tex.z-dn.net/?f=A%20%3D%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%203%20%5Ctimes%20%5Csqrt%7B81-9%7D%5C%5C%5C%5CA%20%3D%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%203%20%5Ctimes%20%5Csqrt%7B72%7D%5C%5C%5C%5CA%20%3D%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%203%20%5Ctimes%208.48528%5C%5C%5C%5CA%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%2025.45584%5C%5C%5C%5CA%20%3D%2012.727)
Thus area of triangle is 12.727 square inches
Answer: 0.0016
Step-by-step explanation:
Given the following :
Population mean(m) = 196
Population Standard deviation (sd) = 32
Number of sample (n) = 18
Sample mean (x) = Total weight of sample / number of samples = 3928 / 18 = 218.2
Obtaining the test statistic (z) :
Z = [(x - m) / (sd/√n)]
Z = [(218.2 - 196) / (32/√18)]
Z = [(22.2 / 7.5424723)]
Z = 2.943
Hence,
P(Z > 2.94) = 1 - P(Z < 2.94)
= 1 - 0.9984
= 0.0016