First, I would multiply the last two fractions because they're smaller and easier to work with:
Now that we've simplified it, we could multiply these terms and simplify. An easier method, however, would be to cancel out any common factors among the numerators and denominators before multiplying:
We can now multiply these terms:
The <span>product of 8/15, 6/5, and 1/3 is B, 16/75.</span>
Nicks rate is 7 yards per second.
Answer:
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean Theorem to solve for the sides.
where <em>a</em> and<em> b</em> are the legs and <em>c</em> is the hypotenuse. In this triangle, we know the legs are 9 centimeters and 11 centimeters, or:
Substitute these values into the formula.
Solve the exponents.
- (9 cm)²= 9 cm*9 cm=81 cm²
- (11 cm)²= 11 cm*11 cm= 121 cm²
Add the values on the left side.
Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.
We are told to round to the nearest tenth.
The 1 in the hundredth place tells us to leave the 2 in the tenth place.
The hypotenuse is equal to <u>14.2 centimeters.</u>
Answer:
The probability that at most 7 favor the new tax is 0.7869
Step-by-step explanation:
Total number of voting resident = 10000
number of voting resident against new sales tax = 4000
therefore probability of choosing a voting resident against new sales tax = 4000/10000 = 0.4
If 15 eligible voters are selected at random and asked their opinion, what is the probability that at most 7 favor the new tax
Using binomial,
number of selected voters(n) =15,
p=0.4
P(x<=0.7) = binomialcdf(15, 0.4, 7)
Using your calculator
P(x<=0.7) = binomialcdf(15, 0.4, 7) = 0.7869
