Answer:
The model is 6 inches tall.
Step-by-step explanation:
Write and solve an equation of ratios:
10 in. x
--------- = ----------
40 ft. 24 ft.
Cross-multiplication yields:
240 in = 40x, so x = 6 inches.
The model is 6 inches tall.
Steps to solve:
k + 10 = 27
~Subtract 10 to both sides
k = 17
Best of Luck!
Simplifying
8a + 12b = 92
Solving
8a + 12b = 92
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-12b' to each side of the equation.
8a + 12b + -12b = 92 + -12b
Combine like terms: 12b + -12b = 0
8a + 0 = 92 + -12b
8a = 92 + -12b
Divide each side by '8'.
a = 11.5 + -1.5b
Simplifying
a = 11.5 + -1.5b
<u>(x-5)²+(y-5)²=36</u>
Answer:
Solution given:
radius [r]=6 units
centre[h,k]=(5,4)
we have
the equation of a circle is;
(x-h)²+(y-k)²=r²
(x-5)²+(y-5)²=6²
<u>(</u><u>x-5</u><u>)</u><u>²</u><u>+</u><u>(</u><u>y-5</u><u>)</u><u>²</u><u>=</u><u>3</u><u>6</u><u> </u><u>is</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>equation</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>circle</u><u>.</u>
Answer:
8, 7.92, 2.81
Step-by-step explanation:
For each Social Security recipient, there are only two possible outcomes. Either they are too young to vote, or they are not. The probability of a Social Security recipient is independent of any other Social Security recipient. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
The variance of the binomial distribution is:
The standard deviation of the binomial distribution is:
In this problem, we have that:
So
Mean:
The variance of the binomial distribution is:
The standard deviation of the binomial distribution is:
Formatted answer: 8, 7.92, 2.81
