Answer:
Both are binomials.
Step-by-step explanation:
Given that
a) X is the number of dots on the top face of fair die that is rolled.
When a fair die is rolled, there will be 1 to 6 numbers on each side with dots in that. Each time a die is rolled the events are independent. Hence probability of getting a particular number in the die is 1/6. There will be two outcomes either the number or not the number. Hence X no of times we get a particular number of dots on the top face of fair die that is rolled is binomial with n = no of rolls, and p = 1/6
b) X is the number of defective parts in a sample of ten randomly selected parts coming from a manufacturing process in which 0.02% of all parts are defective.
Here X has two outcomes whether defective or non defective. EAch part is independent of the other in the sense that the probability for each trial is constant with 0.02% =p and no of trials = n = 10.
Answer is 125.
Because it's cube root is an integer:)
Short leg = x-6m
Longer leg =x
Hypotenuse = x+6m
x² + (x-6)² =(x+6)²
x² + x²-12x+36 = x²+12x+36
2x²-12x+36= x² +12x+36
2x²-12x+36-36= x² +12x+36-36
2x² - 12x-12x = x²+12x-12x
2x² -24x-x² = x²-x²
x² -24x = 0
x(x-24)=0
x = 24
Short leg = 24-6m = 18
Longer leg =24
Hypotenuse = 24+6m=30
Check
a² + b² = c²
18² +24² =30²
324 +576 = 900
900=900
Answer:
1/10
Step-by-step explanation:
2/5 a cup of sugar
1/2 a cup of flour
-Convert to 10ths:
4/10 of sugar, and 5/10 of flour.
Luke used 1/10 more flour than sugar.
The correct answer is: [B]: " v₁ / t₁ = v₂ / t₂<span> " .
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