If three out of every fourteen trick-or-treaters that came to your house last Halloween were dressed as pirates, what proportion of trick-or-treaters were not dressed as pirates?
Answers
Answer:
Explanation:
Given that three out of every fourteen trick-or-treaters were dressed as pirates
The proportion of the tick-or-treaters that were not dressed as pirates is the subtraction of the proportion of the people d
Dressed as pirates = 3/14
Not dressed as pirates = 14/14 - 3/14
= 11/14
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Consider the quadratic function y = 0.3 (x-4)2 - 2.5 Determine the axis of symmetry, x =
Drive Down is a racing video game. The game gives each player an initial amount of $5,000 in virtual money. After that, a player gets $500 in virtual money for each race won. What function represents the amount of virtual money a player has in terms of the number of races won?The independent quantity is the (blank), and the dependent quantity is the (blank). The function representing the situation is (blank).Ist blank choices- A.) amount of virtual money B.) number of races completed C.) number of races won 2nd blank choices- A.) amount of virtual money B.) number of races completed C.) number of races won 3rd blank choices- A.) y=500x-5,000 B.) y=5,000x+500 C.) 5,000x-500 D.) y=500x+5,000
Answers
o 53
o 133
o 127
o 47
Answers
• 127
Explanation:
How to find 127,
The line is 180°, so you take 53 minus 180.
180-53=127
Hope this helps! Good luck :)
Answers
Answer:
So, we get that is P(A)=0.32.
Step-by-step explanation:
We know that:
We have the formula for probability:
So, we calculate:
We calculate:
So, we get that is P(A)=0.32.
Final answer:
To find P(A), use the law of total probability given that B1 and B2 are mutually exclusive and complementary events. Substituting the provided values, P(A) = 0.32.
Explanation:
The question is asking us to calculate P(A), given the values for P(A | B1) and P(A | B2), and the knowledge that B1 and B2 are mutually exclusive and complementary events. In probability, if events B1 and B2 are mutually exclusive and complementary, this means that one and only one of them can occur, and their occurrence covers all possible outcomes. We can use the law of total probability to find the overall P(A). The law of total probability states that P(A) = P(A | B1) * P(B1) + P(A | B2) * P(B2). Plugging the provided values into this formula, we get P(A) = .2 * .6 + .5 * .4 = .12 + .2 = .32. Therefore, P(A) is .32.
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Which of these is logically equivalent to the given statement? (1 point)
1. If Amelia did not go to the park, then she did not finish her homework.
2. If Amelia did not finish her homework, then she will go to the park.
3. If Amelia goes to the park, then she did not finish her homework.
4. If Amelia finishes her homework, then she cannot go to the park.
Answers
Hello there.
In this problem, we can use our intuition of logic, but I will show a proof of the result in a truth table later. Then, let's get started!
Given:
→ Amelia finishes the homework (sentence H, can be True or False)
→ Amelia goes to the park (P, true or false)
Then, we have: If H, then P. Logically:
H ⇒ P
Then we can think: everytime she does the homework, she goes to the park. Therefore, if she did not go to the park, she will not have finished the homework (It is an equivalent sentence).
Alternative 1.
==========
Now, let's prove that (H ⇒P) is equivalent to (¬P ⇒ ¬H), via the truth table:
H P ¬H ¬P (H ⇒ P) (¬P ⇒ ¬H)
T T F F T T
T F F T F F
F T T F T T
F F T T T T
As we can see, the results are identical, therefore, the sentences are indeed equivalent.
I hope it hepls :)
Answers
Answer:
41101.750 to 43898.250
Step-by-step explanation:
Using this formula X ± Z (s/√n)
Where
X = 42500 --------------------------Mean
S = 6800----------------------------- Standard Deviation
n = 64 ----------------------------------Number of observation
Z = 1.645 ------------------------------The chosen Z-value from the confidence table below
Confidence Interval Z
80%. 1.282
85% 1.440
90%. 1.645
95%. 1.960
99%. 2.576
99.5%. 2.807
99.9%. 3.291
Substituting these values in the formula
Confidence Interval (CI) = 42500 ± 1.645(6800/√64)
CI = 42500 ± 1.645(6800/8)
CI = 42500 ± 1.645(850)
CI = 42500 ± 1398.25
CI = 42500+1398.25 ~. 42500-1398.25
CI = 43898.25 ~ 41101.75
In other words the confidence interval is from 41101.750 to 43898.250
Final answer:
To find a 90% confidence interval for the mean starting salary, use the formula CI = sample mean ± (Z * sample standard deviation / √n).
Explanation:
To find a 90% confidence interval for the mean starting salary, we will use the formula:
CI = sample mean ± (Z * sample standard deviation / √n)
Given that the sample mean is $42,500, the sample standard deviation is $6,800, and the number of college graduates is 64, we can substitute these values into the formula to calculate the confidence interval. The lower-bound is $41,101.87 and the upper-bound is $43,898.13.
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b.) Draw a net of the rectangular prism and label each face with its surface area.
c.) Use the net of the rectangular prism to find the surface area of the solid.
Answers
Then you would draw a net the rectangular prism like if you were to unfold it then use the calculation from a and solve for the surface area
Then you add the surface areas together I believe sorry if I get this wrong and it should be the surface area of everything