Answer:
the probability is 0.1143
Step-by-step explanation:
here are the details from the question you asked
number of people = 6
nuber of weapons = 6
number of rooms = 9
after narrowing it down to
3 people,3 weapons, and 6 rooms
= ⁶C₃ * ⁶C₃ *⁹C₆ / ²¹C₁₂
= 20 * 20 * 84 / 293930
= 33600/293930
= 0.1143
<u>The probability of making a random guess of the person who is guilty, weapon and location from this choices that have been narrowed down and the guess being correct is 0.1143</u>
Answer:
a. 0.71
b. 0.9863
Step-by-step explanation:
a. From the histogram, the relative frequency of houses with a value less than 500,000 is 0.34 and 0.37
-#The probability can therefore be calculated as:
Hence, the probability of the house value being less than 500,000 is o.71
b.
-From the info provided, we calculate the mean=403 and the standard deviation is 278 The probability that the mean value of a sample of n=40 is less than 500000 can be calculated as below:
Hence, the probability that the mean value of 40 randomly selected houses is less than 500,000 is 0.9863
f(x)=x^2+12x+26
Vertex form of f(x) = a(x-h)^2 +k
We change f(x) into vertex form using completing the square method
We take half of square of middle term
middle term is 12
Half of square of 12 is 
then 6^2 = 36
Add and subtract 36 to complete the square
The vertex form 
Answer:
11 boxed lunches
Step-by-step explanation:
Full question
Janie ordered boxed lunches for a student advisory committee meeting. Each lunch cost 4.25. The total cost of the lunches is 53.75, including a 7$ delivery fee. Write and solve an equation to find x the number of boxed lunches Janie ordered
First of all subtract the delivery feesince it was inckuded in the total cost, this will now be the total cost of all the noxed lunches ordered by Janie, then divide the balance of the total cost by the cost of one boxed lunch to get thd total boxed kunches
X= 53.75-7/4.25
X= 53.75-7= 46.75/4.25
X=11
Answer:
Step-by-step explanation:
Delivery fee = $7.50
Price per pizza = $14
Planned amount = $60
7.50 + 14p < 60
Subtract 7.50 from both sides
14p < 60 - 7.50
14p < 52.50
Divide both sides by 14
p < 52.50 / 14
p < 3.75
Each pizza is cut into 8 slices
Total slices she can afford = 3.75 × 8
= 30 slices
