Answer:
a) P=0.3174
b) P=0.4232
c) P=0.2594
d) The shape of the hypergeometric, in this case, is like a binomial with mean np=1.
Step-by-step explanation:
The appropiate distribution to model this is the hypergeometric distribution:

a) What is the probability that none of the questions are essay?

b) What is the probability that at least one is essay?

c) What is the probability that two or more are essay?

<span>Let's solve your equation step-by-step.<span><span><span>5x</span>+<span><span>12</span><span>(<span><span>4x</span>+8</span>)</span></span></span>=25</span>Step 1: Simplify both sides of the equation.<span><span><span>5x</span>+<span><span>12</span><span>(<span><span>4x</span>+8</span>)</span></span></span>=25</span></span><span>Simplify: (Show steps)</span><span><span><span><span>7x</span>+4</span>=25</span>Step 2: Subtract 4 from both sides.<span><span><span><span>7x</span>+4</span>−4</span>=<span>25−4</span></span><span><span>7x</span>=21</span>Step 3: Divide both sides by 7.<span><span><span>7x</span>7</span>=<span>217</span></span><span>x=3</span><u>Answer:</u><span>x=<span>3</span></span></span>
Answer:
Area of living room
= 20(x+5)
= 20x +100
Area of dining room= 20x
Total area
= 20x +100 +20x
= 40x +100
Total perimeter (after wall is removed)
= 2(20) + 2( x+x+5)
= 40 + 2(2x+5)
= 40 +4x +10 (expand)
= 4x +50 (simplify)
Step-by-step explanation:
Area of rectangle= length × breadth
Answer:
Between 15.95 ounces and 16.15 ounces.
Step-by-step explanation:
We have the following value m, being the mean, sd, being the standard deviation and n, the sample size:
m = 16.05
sd = 0.1005
n = 4
We apply the formula of this case, which would be:
m + - 2 * sd / (n ^ 1/2)
In this way we create a range, replacing we have:
16.05 + 2 * 0.1005 / (4 ^ 1/2) = 16.1505
16.05 - 2 * 0.1005 / (4 ^ 1/2) = 15.9495
Which means that 95% of all samples are between 15.95 ounces and 16.15 ounces.
Answer:
1st pic:
Felix
mean: 11.31
median: 9
mode: none
range: 26
Tyler
mean: 56.57
median; 68
mode: none
range: 92
2nd pic:
The first histogram has a large amount of cheaper books and doesn't have any books that are above $29.99. This histogram sells cheaper books. The second histogram sells a more even distribution of books by cost. There are no bins that are significantly higher than the rest. This second histogram sells more expensive books.
3rd pic:
The first set of data shows that the difference in the prices is very small while the second set of data shows a larger variety of prices. The first set represents its prices in equally divided groups making it easier to read and determine than the second set of data.
Step-by-step explanation: