Answer:
z=3.8196
Step-by-step explanation:
-We notice that this is a normal distribution problem.
-Given the mean is $8500, standard deviation is $1200 , and n=350, the critical z-value using alpha=0.05 is calculated as:
Hence, the test statitic is z=3.8196
112% of original=28
percent measn parts out of 100
112%=112/100=1.12
'of' means multiply
112% of original=28 means
1.12 times original=28
divide both sides by 1.12
original=25
original bill was $25
Answer:
Step-by-step explanation:
The triangle is recognizable as a 30°-60°-90° right triangle, which has side length ratios ...
1 : √3 : 2
Side x is thus twice the length of short side 4, so x = 8.
Side y is √3 times the length of short side x-6 = 2, so y = 2√3.
_____
If you don't happen to recognize the triangle dimensions, you can find x and y using the Pythagorean theorem.
x = √(4² +(4√3)²) = √64 = 8
y = √(4² -2²) = √12 = 2√3
X^2 + 8x - 5 = 0
a = 1, b = 8, c = -5
x = ( - 8 + - sqrt(64 - 4*1*-5))/2
x = ( -8 + - sqrt(64+20))/2
x = ( -8 + - sqrt (84))/2
x = ( - 8 + - 2sqrt21))/2
x = -4 + - sqrt21
Answer:
Step-by-step explanation:
8 ft = (12 * 8) = 96 inches
3 ft 9 in = (12 * 3) + 9 = 45 inches
510 gallons to 96 inches = x gallons to 45 inches
510 / 96 = x / 45....cross multiply because this is a proportion
(96)(x) = (510)(45)
96x = 22950
x = 22950 / 96
x = 239.0625 rounds to 239.1 gallons <===
