We want to find the probability that Bob will randomly draw $30 in tokens. We will find that the probability is P = 1/6 = 0.167
Finding the probability.
The only case where he draws $30 randomly is when:
He takes one $5 token from the coin cupHe takes the $25 token from his pocket.Then we need to find the probabilities for these two events.
For the first one, the probability will be equal to the quotient between the number of $5 tokens and the total number of tokens in the cup. There are 6 tokens in the cup and 2 of these are $5 tokens, then the probability is:
p = 2/6 = 1/3
For the second event the probability is computed in the same way, he has two tokens in his pocket and one of them is a $25 token, then the probability is:
q = 1/2
The joint probability, the probability that both of these events happen at the same time, is given by the product of the individual probabilities, so we get:
P = p*q = (1/3)*(1/2) = 1/6 = 0.167
So the probability that he draws $30 in tokens is P = 1/6 = 0.167.
If you want to learn more about probability, you can read:
https://brainly.com/question/251701
Answer:
4/9
Step-by-step explanation:
Mrs. Hansen wanted to compare the amount of money she spent at the grocery store for the first 9 weeks and the second 9 weeks of the year. Using the information below, answer each question. 1st 9 weeks: 92, 85, 43, 100, 65, 78, 88, 92, 75 2nd 9 weeks: 86, 63, 95, 75, 92, 81, 87, 86, 95 What is the mean for 1st 9 weeks?
Answer:
Step-by-step explanation:
[Easy Points] Kanna Kamui sees 3 snowmen. Then he sees 2 more. How many snowmen did Kanna see in all?
Answer:
the correct answer is 5 snowmen
Which statement must be true?
a yellow box contains 400 tickets that come in three colours. Blue, green, and yellow. the ratio of blue to green tickets is 1:3. the ratio of green to yellow tickets is 1:4. what aid the smallest number of tickets that must be drawn from the box to ensure that at least 50 tickets of one colour have been selected
I need help with geometry
Statement 1 and statement 3 contradict
======================================================
Explanation:
We'll start with statement 1 and try to build to statement 3, and you'll find that a contradiction happens.
If angle 1 and angle 2 are supplementary, then that must mean [tex]m \angle 1 + m \angle 2 = 180[/tex] because the angles can be combined to form a straight angle.
Add the measure of angle 3 to both sides
[tex]m \angle 1 + m \angle 2 = 180\\\\m \angle 1 + m \angle 2+m\angle 3 = 180+m\angle 3[/tex]
The left side matches with the left side in statement 3, but the right side is a bit off. That [tex]m\angle 3[/tex] term needs to be zero, so that the right side boils down to simply 180. However, statement 3 specifically mentions that angle 3 is nonzero. So angle 3 is some positive value.
That's why choice C is the answer.
------------------
Here's an example:
Let's say angles 1 and 2 are 50 and 130 degrees. The order doesn't really matter, but I'll make angle 1 to be the smaller angle.
This means,
[tex]m \angle 1 + m \angle 2 = 180\\\\50 + 130 = 180\\\\[/tex]
So we've made statement 1 to be true. The angles 50 and 130 are indeed supplementary.
Now let's add some nonzero value to both sides. This will represent the measure of angle 3. If we add say 10 degrees to both sides, then,
[tex]50 + 130 = 180\\\\50 + 130+10 = 180+10\\\\50 + 130+10 = 190\\\\m\angle 1 + m\angle 2 + m\angle 3 = 190\\\\[/tex]
we don't get 180 like we want in the equation of statement 3. This is where the contradiction happens, more or less. One right side is 180, the other right side is 190. The 190 will change if you use some other value for angle 3, but hopefully you can see that it's impossible to add up angles 1 through 3 to get 180. It's only possible if angle 3 were zero degrees.
We can think of it like angles 1 and 2 hog up all the oxygen, and use up 180 points of it, leaving no air for angle 3 to breathe so that's why angle 3 must be 0. Furthermore, it means that a triangle is not possible if exactly two angles are supplementary.
----------------------
Extra info:
Statements 1 and 2 can coexist just fine without any contradictions happening. If angle 1 is 110 degrees, then that makes angle 2 to be 70 degrees (110+70 = 180). That rules out choice A.Statements 2 and 3 are just fine as well, for similar reasoning as above. We can plug in 110 for angle 1, then subtract that from 180 to get 180-110 = 70. Then from here, just ensure that angles 2 and 3 add to 70. So there are infinitely many ways to do this. Choice B can be ruled out.Choice D is ruled out because we found choice C to be the answer, ie the contradicting two statements.Answer:
C) l and lll
Step-by-step explanation:
m∠1+∠2=180
m∠1+m∠2+m∠3=180
180+m∠3=180
m∠3=0 but m∠3=∦0
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hope it helps...
have a great day!!
Pls help asap i have to turn in in 30 minutes will give brainliest
Natalie is making 1 1/2 the brownie recipe.The recipe calls for 2 1/2 cups of sugar.How many cups of sugar should she use?Pls hurry or i get 0%
please help!!!!!!!!
3x2 + x - 4 = 0
SELECT ALL THAT APPLY.
(x - 1)(3x + 4) = 0
(3x +2)(x - 6) = 0
(3x + 4)(x - 1) = 0
(x + 1)(3x - 4) = 0
(3x - 3)(3x - 4) = 0
(3x - 4)(x + 1) = 0
all of the apply my math teacher always did that and all of them aways applied
Answer:
(3x + 4)(x-1)=0
Step-by-step explanation:
It's a quadratic equation.
now you need to find two numbers such that when you multiply then you get -12 and when you add them you get +1
[tex]3x {}^{2} + x - 4 \\ 3x {}^{2} + 4x - 3x - 4 \\ x(3x + 4) - 1(3x + 4) \\ (3x + 4)(x - 1)[/tex]
Find the inverse function.
x - 3
f(x) =
+ 2
5
f-1(x) = [ ? ]x + [ ]
Marking brainliest
Are you against animal testing? If so, why?
Answer:
No
Step-by-step explanation:
I honestly find it quite disturbing. That is just me though, and I just hate seeing animals get hurt.
What is the surface area of the prism?
1.
5 in.
4 in.
5 in
Answer:
140
Step-by-step explanation:
(5x+3)(5x+3)gghhhhhhhh
Answer:
25x^2 + 30x + 9
6x10 to the power of zero
Answer:
the answer is 1
Step-by-step explanation:
Anything with the power of 0 is 1
PLEASE HELP ASAP I WILL MARK BRANLIST!!!!!!
Of 10 test scores, six are less than or equal to 82 What is the percentile rank of a test score of 82?
The percentile rank of 82 is…
Answer:
60% of the test scores are less than or equal to 82
Step-by-step explanation:
SHOW YOUR WORK. The volume of the cylinder is 235.6 ft cubed. Find the height.
Answer:
Answer: 3 feet
Step-by-step explanation:
Here's the complete question:
The volume of the cylinder is 235.6 cubic feet the radius is 5ft. Find the height.
Note that Volume of a cylinder = πr²h
where Volume = 235.6 feet³
Radius = 5 feet
Height = Unknown
Then, we put the values back into the question and this will be:
V = πr²h
235.6 = 3.14 × 5² × h
235.6 = 3.14 × 25 × h
235.6 = 78.5 × h
h = 235.6 / 78.5
h = 3 feet
The height is 3 feet
Step-by-step explanation:
Use the graph to answer the question.
Which parametric equations describe the curve?
A. x = cos(t) + 3 and y = sin(t) + 3 for 0 ≤ t ≤ π
B. x = cos(t) + 3 and y = sin(t) + 3 for 0 ≤ t ≤ 2π
C. x = 3cos(t) + 1 and y = 3sin(t) + 1 for 0 ≤ t ≤ π
D. x = 3cos(t) + 1 and y = 3sin(t) + 1 for 0 ≤ t ≤ 2π
Answer is C. Add an answer so it won't be archived!
C) x = 3cos(t) + 1 and y = 3sin(t) + 1 for 0 ≤ t ≤ π
Correct on Edge 2021
helpp!!!
Over the next 16 months you have to read 64 books. You have to read x books per month. The inequality 16 x 64 represents this situation. Solve the inequality to find the number of books you have to read per month.
You have to read
nothing books per month.
Answer:
Your answer is 4 books per month.
Step-by-step explanation:
A really simple way to solve this is to simply divide 64 by 16, and you get 4. You have to read 4 books per month to reach 64 books in 16 months.
EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-
(if you put links or don't answer accordingly im reporting your account)
Answer:
Solution given:
Since it is a isosceles trapezoid so it diagonal will be congruent so
PR=QS
PT+RT=12cm
4.9+RT=12cm
RT=12-4.9
RT=7.1cm
PS=QR
QR=9cm
m<QPR=44° base angle of isosceles triangle
m<PTQ=180°-44-44=92°[interior angle remaining of traingle]
m<STR=m<PTQ
m<STR=92°
need help question 15
Answer:
To divide by (x+1) in synthetic division, you divide by -1.
-1 1 -7 4 12
-1 8 -12
—————————-
1 -8 12 0
This gives us x^2 -8x +12x which factors to (x-2) (x-6). We still have the factor of (x+1) so the zeros will be 2, 6, and -1.
Step-by-step explanation:
Someone please help!
Answer:
f(3)= 12
Step-by-step explanation:
if f(1)= 4 then f(3)= 12
Among the youth that vape, what percentage smoke e-cigarettes with special flavorings? a 40% b 50% c 85% d more than 95%
Answer:
d. more than 95%
Step-by-step explanation:
According to a survey carried out by the Food Drug Administration from 2016 to 2017, termed Population Assessment of Tobacco and Health, it was discovered that a high percentage of the youth population smoked e-cigarettes with special flavorings. Specifically, it was found that 96.1% of young people within the ages of 12 to 17 started their use of e-cigarettes with the flavored options.
As at the time when the report was being published, 97% of e-cigarette users reported having used flavored e-cigarettes in the past month. The above data shows that more than 95% of youths that vape have smoked e-cigarettes with special flavorings.
Find the tangent line equation of the curve at the given point. Y=arcsin(7x) at the point where x=sqrt2/14
Answer:
[tex]Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})[/tex]
Step-by-step explanation:
The equation of the curve is
[tex]Y = sin^{-1}(7x)[/tex]
To find the equation of tangent we need to differentiate this equation w.r.t x
So, differentiating we get
[tex]Y'=\frac{7}{\sqrt{1-49x^2} }[/tex]
This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is [tex]x = \sqrt{\frac{1}{7} }[/tex]
Then slope would accordingly be
[tex]Y'=\frac{7}{\sqrt{1-49/49} }[/tex]
= ∞
For, [tex]x = \sqrt{\frac{1}{7} }[/tex], [tex]Y = sin^{-1}(7/7)= \pi/2[/tex]
Equation of tangent line, in the point slope form, would be [tex]Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})[/tex]
: Marjorie is a 50% partner in Callie's Candies. Under the terms of the partnership agreement, she is to receive 50% of partnership income, but no less than $30,000. If the Partnership's net income for the year is 90,000 what amount of income does Marjorie earn from this partnership? ?
Answer:
$45,000
Step-by-step explanation:
Income = percentage of income she receives x income
50% x 90,000
0.5 x 90,000 = 45,000
Find the values of x and y. Write your answers in simplest form.
Answer:
To find X you'll need this formula Tan 30, and this one to find y cos 30.
Step-by-step explanation:
tan 30 = 9 / x.
tan 30*x = 9
x = 9 / tan 30
x = 15.58
To find y, the value of X will be needed, which is 15.5 that we just found.
Cos= A/H
Cos 30 = 15.58/ y
Cos 30 * y = 15.58
y = 15.58/ cos 20
y = 17.99
A survey was conducted to find what percentage of high school students prefer
watching baseball or football or both. Students had to select one of those three options.
Let A represent the set of students who prefer watching baseball and B represent the set
of students who prefer watching football.
Which statement correctly describes the complement of set A?
The students who prefer baseball or football or both.
The students who prefer football but not baseball.
The students who prefer only baseball.
The students who prefer only baseball or only football.
Answer:
the student who prefers football but not baseball
The Andersons are going on a long
sailing trip during the summer.
However, one of the sails on their
sailboat ripped and they have to
replace it. The sail is pictured to the
left. If the sailboat sails are on sale
for $2 per square foot, how much will
the new sail cost? Show your work.
Answer:
$96
Step-by-step explanation
area of sail = ½×8×12= 48 sq ft
the cost of new sail = 48 × $2
= $96
can someone please help
Answer:
78 cm^2
Step-by-step explanation:
This will require 3 steps.
1) Area of the entire rectangle
18cm * 8 cm = 144 cm^2
2) Area of the square with one side length of 9cm
The missing measurement for the heights below 2cm
8cm - 2 cm = 6 cm
This area will be 6cm * 9 cm = 54 cm^2
3) Triangle
You have your height, which is 6cm
You also have your base, 18 cm total length minus the 5 cm stated minus the 9 cm also stated.
18cm - 5cm - 9 cm = 4 cm
The area of a triangle is A= h b/2
A = 6 * (4/2)
A = 12 cm^2
Now substract the sum of the smaller rectangle and the triangle from your large triangle
144 - 54 - 12
vertex of the graph of x^2 + 8x + 12=0
Answer:
Step-by-step explanation:
Hope this helps u!!
what's the equation of this table
1 13
2 17.5
3 22
4 26.5
Answer:
y = 4.5x + 8.5
Step-by-step explanation:
this is true
I am Desperate for answer
The mean is 8 and the lower quartile is 6.
A circular plate has circumference 33.3 inches. What is the area of this plate? Use 3.14 for Pi.
The area of this plate is_____about square inches.
(Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest
thousandth as needed.)
Answer:
88 square inches
Step-by-step explanation:
A circular plate has circumference 33.3 inches.
Step 1
We find the radius
The formula to find the radius go a circle given circumference is
= C /2π
r = 33.3/2 × 3.14
r = 5.3025477707 inches
Approximately to the nearest thousandth = 5.303 inches
Step 2
What is the area of this plate? Use 3.14 for Pi.
The area of a circle = πr²
Where
π = 3.14
r = 5.3025477707 inches
Hence
Area of the circle = 3.14 × (5.303inches)²
= 88.30248026 square inches
Approximately to the nearest whole number the area of the circle = 88 square inches
The area of this plate is about 88 square inches.