You're playing a game where you defend your village for me or evasion there are three characters of habit or human and five defensive tools magic sword shield slingshot or umbrella to pick from if you randomly choose your character into what is your probability that you won't be a hobby or use an umbrella
Answer:
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{14}{15}[/tex]
Step-by-step explanation:
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Given
[tex]x = \{elf, hobbit, human\}[/tex] ---- characters
[tex]n(x) =3[/tex]
[tex]y = \{Magic,Sword,Shield,Slingshot,Umbrella\}[/tex] --- tools
[tex]n(y) = 5[/tex]
Required
The probability that your character won't be a hobbit or your tool won't be an umbrella?
First we calculate the probability of choosing a hobbit.
[tex]x = \{elf, hobbit, human\}[/tex]
[tex]n(hobbit) = 1[/tex]
So:
[tex]P(hobit) = \frac{n(hobbit)}{n(x)}[/tex]
[tex]P(hobit) = \frac{1}{3}[/tex]
Using the complement rule, we calculate the probability of not choosing a hobbit
[tex]P(Not\ hobbit) = 1 - P(hobbit)[/tex]
[tex]P(Not\ hobbit) = 1 - \frac{1}{3}[/tex]
[tex]P(Not\ hobbit) =\frac{2}{3}[/tex]
Next, we calculate the probability of choosing an umbrella.
[tex]y = \{Magic,Sword,Shield,Slingshot,Umbrella\}[/tex]
[tex]n(Umbrella) = 1[/tex]
So:
[tex]P(Umbrella) = \frac{n(Umbrella)}{n(y)}[/tex]
[tex]P(Umbrella) = \frac{1}{5}[/tex]
Using the complement rule, we calculate the probability of not choosing an umbrella
[tex]P(Not\ Umbrella) = 1 - \P(Umbrella)[/tex]
[tex]P(Not\ Umbrella) = 1 - \frac{1}{5}[/tex]
[tex]P(Not\ Umbrella) = \frac{4}{5}[/tex]
The required probability is calculated using:
[tex]P(A\ or\ B) = P(A) + P(B) - P(A)P(B)[/tex]
In this case;
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = P(Not\ hobbit) + P(Not\ Umbrella) -[/tex] [tex]P(Not\ hobbit)*P(Not\ Umbrella)[/tex]
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{2}{3} + \frac{4}{5} - \frac{2}{3} * \frac{4}{5}[/tex]
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{2}{3} + \frac{4}{5} - \frac{8}{15}[/tex]
Take LCM
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{10+12-8}{15}[/tex]
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{14}{15}[/tex]
what is f(-1) for the function given?
f(x)=x^2-3x+8
Answer: 12
Work is provided in the image I attached
Crowned Brainly and will have 10 points. EMERGENCY!
Answer:
324ft^2
Step-by-step explanation:
rectangle: 22ft X 12ft = 264ft^2
trapazoid: 1/2(22+8)4 = 60ft^2
264 + 60 = 324ft^2
hope this helped!! :D
tell me if you need further explaination!
What’s the answer to this?
Answer
Where is the graph?
Step-by-step explanation:
√(4²×49)
__________________________________________
For what value(s) of x is the equation not true?
Answer:
The equation is not true at x = -7.
Step-by-step explanation:
At x = -7 we'd have division by zero, which is not defined (not allowed).
Drag a company name into each box to show the total cost from least to greatest.
Answer:
Company A:
150 x 3 = $450
6/100 x 150 = $9
450 + 9 = $459
Company B:
3.10 x 150 = 465
4/100 x 150 = 6
465 + 6 = $471
Company C:
3.20 x 150 = $480
Now the order (Answer):
A(459), B(471), C(480)
Sue and Bill share a 16-ounce box of cereal. By the end of the week, Sue has eaten 5 8 of the box, and Bill has eaten 1 4 of the box of cereal. How many ounces are left in the box?
Answer: 2 ounce
Step-by-step explanation:
Given
16 ounce of the box is shared by Sue and Bill
Sue has eaten [tex]\frac{5}{8}[/tex] of the box
Bill has eaten [tex]\frac{1}{4}[/tex] of the box
total cereal eaten by them is
[tex]\Rightarrow \dfrac{5}{8}+\dfrac{1}{4}=\dfrac{5}{8}+\dfrac{2}{8}\\\\\Rightarrow \dfrac{7}{8}[/tex]
So, they have eaten this much of the box. Amount left in the box is
[tex]\Rightarrow 1-\dfrac{7}{8}\\\\\Rightarrow \dfrac{1}{8}[/tex]
In ounce it is
[tex]\Rightarrow 16\times \dfrac{1}{8}\\\\\Rightarrow 2\ \text{ounce}[/tex]
What relation is a doorstep to a doormat???
Does anyone know how to show work using Pythagorean theorem???
Answer:
1)
a. 5.29 cm
b. 17.8 m
c. 9.75 in
d. 12 cm
e. 8.31 ft
f. 25.46 m
Step-by-step explanation:
Have a good day :)
Marissa goes to the beach and places a mirror on the ground so when she looks down at it she can see the reflection to the top of the tree. Marissa is 5.5 feet tall. She stands 7 feet from the mirror. The mirror is 28 feet from the tree. How tall is the tree?
Answer:
69 feet
Step-by-step explanation:
took quiz
Prove that the point (2, 1) lies on the line with equation y = 3x – 5.
Answer:
3(2) - 5 = 1
Step-by-step explanation:
y = 3x - 5
(x, y)
plug x and y in
1 = 3(2) - 5
1 = 6 - 5
1 = 1
true
The principal P is borrowed at a simple interest rate r for a period of time t. Find the loan's future value A, or the total amount due at time t. Round answers to the nearest cent. P=$2000, r=%6, T=6 years
Answer:
$2720
Step-by-step explanation:
Given data
Principal=$2000
r= %6
T= 6 years
The expression for the final amount is
A= P(1+rt)
A=2000(1+0.06*6)
A=2000(1+0.36)
A=2000*1.36
A=2720
Hence the amount is $2720
Tim buys a jacket at $120.00. If he buys it during the Christmas sale,He will pay only 102.00. Calculate the percentage discount. Plz help and explain how to solve it l
Answer:
15% discount
Step-by-step explanation:
1 - (102/120)
1 - 0.85 = 0.15 = 15%
Carmella is making a rectangular flower garden in her backyard. The space she wants to use is 4 meters in length and 2 meters wide. How much space will she have in her garden?
Answer:
8 meters
Step-by-step explanation:
4x2=8
A manufacturer makes ball bearings that have a target diameter of 5 mm. Quality control engineers sample ball bearings from a batch to test the hypotheses H 0 : mu=5 mm vs. H a : mu ne5 mi , where u is the true mean diameter of the ball bearings in that batch. Suppose that H 0 is actually true. Which situation below would have the lowest probability of a Type I error?
Answer: n=30 the other one is 0.01 !
Step-by-step explanation:
khan
The situation that would have the lowest probability of a Type I error is the one with the smallest significance level (α).
What is hypothesis testing?Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.
It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.
We have,
In hypothesis testing,
A Type I error occurs when we reject the null hypothesis (H0) when it is actually true.
The probability of a Type I error is denoted by the symbol alpha (α) and is usually set to a small value, such as 0.05 or 0.01.
Now,
To minimize the probability of a Type I error, we want to choose a significance level (α) that is small.
This means that we are willing to accept a lower probability of detecting a difference when one actually exists (i.e., a higher probability of a Type II error).
For example,
If we set α = 0.01, we are saying that we are willing to accept only a 1% chance of incorrectly rejecting the null hypothesis (H0) when it is actually true. This would result in a very small probability of a Type I error.
Therefore,
The situation that would have the lowest probability of a Type I error is the one with the smallest significance level (α).
Learn more about hypothesis testing here:
https://brainly.com/question/30588452
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What is the area of this triangle? I need help!! pleaseee
Answer:72
Step-by-step explanation: 9x8 =72
Determine the area of a circle whose diameter is 8 in Use 3. 14 for TT Enter your answer in the box. Round to the nearest hundredth, if necessary. A= blank inches squared
Answer:
50.24
Step-by-step explanation:
Area = pi*r^2
r = diameter/2
r = 4
Area = pi*4^2
Area = 3.14*16
Area = 50.24
Answer:
Step-by-step explanation:
The area A of a circle of radius r is A = πr², where π is often approximated by 3.14.
Here, with the circle diameter being 8, we figure the radius to be half that, or 4.
Then the area of this circle is A = (3.14)(4 in)², or
A = 50.24 in²
How do you find the slope from a equation
Answer:
For example the equation is y=3x+4 ... the slope would be 3
It's the number coming before the x variable
james says 5/5 is greater than 9/10 is james correct explain
Answer:
James is correct because 5/5 is 1 while 9/10 is 0.9. 1 is greater than 0.9 by 0.1 and that's why James is correct.
Answer:
Yes.
Step-by-step explanation:
5/5 = 1.
9/10 = 0.9 < 1.
Rays PQ and PS are perpendicular to each other.
What is the measure of LRPS plzzzzz
Answer:
m<RPS = 53 degrees
Step-by-step explanation:
Find the diagram attached
From the diagram shown;
m<QPR + m<RPS = 90
Given that;
m<QPR = x
m<RPS = x+16
Substitute into the formula;
m<QPR + m<RPS = 90
x+x+16 = 90
2x+16 = 90
2x = 90-16
2x = 74
x = 74/2
x = 37degrees
Get m<RPS;
Since m<RPS = x+16
m<RPS = 37 + 16
m<RPS = 53 degrees
what is the opposite of -(-8)?
Answer:
the opposite of -8 is 8
Step-by-step explanation:
Step-by-step explanation:
We have to find the additive inverseSo multiply (-)[tex] \rm \mapsto \: - ( - ( - 8) \\ \rm \mapsto \: - ( + 8) \\ \rm \mapsto \: - 8[/tex]
what is this can someone please help ?
Answer:
The answer is most likely A
Hope this helps if t does please consider giving brainliest
Cya on the next one!
Step-by-step explanation:
imagine paying attention in class
ANSWER ASAP NO LINKS WILL GIVE BRAINLIEST
a place from this table is chosen at random let event 4= the place is a city what is p(a^c)
a 3/7
b 4/7
c 2/7
d 5/7
Answer:
A
Step-by-step explanation:
I really need help right now someone help pls!!!
Translations and reflections
Answer:
The answer is A. x + 5, y - 2
Step-by-step explanation:
The answer is A because you would move the block 5 spaces to the right and 2 spaces down.
Hope this helps!
What is the value of x in the isosceles trapezoid below?
Answer:
10
Step-by-step explanation:
Create a data set with at least 7 values so that the mean is 20.
plz no bot if bot i will kill 50 point
Answer:
I cant remember this
Step-by-step explanation:
i cant remember
Answer:
Hello! answer: 45, 20, 15, 11, 36, 8, and 5
Step-by-step explanation:
Data set I created: 45, 20, 15, 11, 36, 8, and 5
It doesnt matter what the data set is as long as it has 7 numbers added together that equals 140 because 140 ÷ 7 = 20 45 + 20 + 15 + 11 + 36 + 8 + 5 = 140 then divide by how many numbers are in the data set and 140 ÷ 7 = 20 Hope that helps
A 23.9 foot tall streetlight casts a shadow that is 17.7 feet long. How long is the shadow cast by a nearby parking meter that is 3.6 feet high?
Answer:
2.67 feet long
Step-by-step explanation:
Create a proportion where x is the length of the parking meter's shadow:
[tex]\frac{23.9}{17.7}[/tex] = [tex]\frac{3.6}{x}[/tex]
Cross multiply and solve for x:
23.9x = 63.72
x = 2.67
So, the parking meter's shadow is approximately 2.67 feet long
Will the product of two numbers with opposite signs have a negative or positive answer?
Answer:
The product of two integers of opposite signs is equal to the additive inverse of the product of their absolute values.
Step-by-step explanation: