Answer:
20 miles) / (4 hours) = (20/4) (miles/hours) = 5 miles per hour
(4 hours) / (20 miles) = (4/20) (hours/miles) = 0.2 hours per mile =
12 minutes per mile
Urn 1 contains 4 blue tokens and 9 red tokens; urn 2 contains 12 blue tokens and 5 red tokens. You flip a coin twice and if you see head two times, then you pick urn 2 else (if you see at least once the tail) you pick urn 1 and draw out a token at random from that urn. Given that the token is blue, what is the probability that the token came from urn 2
Answer:
0.433
Step-by-step explanation:
From the given information;
Let represent Urn 1 to be Q₁ ;
Urn 2 to be Q₂
and the event that a blue token is taken should be R
SO,
Given that:
Urn 1 comprises of 4 blue token and 9 red tokens,
Then, the probability of having a blue token | urn 1 picked is:
[tex]P(R|Q_1) = \dfrac{4}{4+9}[/tex]
[tex]= \dfrac{4}{13}[/tex]
Urn 2 comprises of 12 blue token and 5 red tokens;
Thus [tex]P(R| Q_2) = \dfrac{12}{12+5}[/tex]
[tex]=\dfrac{12}{17}[/tex]
SO, if two coins are flipped, the probability of having two heads = [tex]\dfrac{1}{4}[/tex]
(since (H,H) is the only way)
Also, the probability of having at least one single tail = [tex]\dfrac{3}{4}[/tex]
(since (H,T), (T,H), (T,T) are the only possible outcome)
Thus: so far we knew:
[tex]P(Q_2) = \dfrac{1}{4} \\ \\ P(Q_2) = \dfrac{3}{4}[/tex]
We can now apply Naive-Bayes Theorem;
So, the probability P(of the token from Urn 2| the token is blue) = [tex]P(Q_2|R)[/tex]
[tex]P(Q_2|R) = \dfrac{P(R \cap Q_2)}{P(R)} \\ \\ = \dfrac{P(R|Q_2) * P(Q_2)}{P(R|Q_2) \ P(R_2) + P(R|Q_1) \ P(Q_1)} \\ \\ \\ \\ = \dfrac{\dfrac{12}{17} \times \dfrac{1}{4} }{\dfrac{12}{17} \times \dfrac{1}{4} + \dfrac{4}{13} \times \dfrac{3}{4}} \\ \\ \\ = \dfrac{13}{30}[/tex]
= 0.433
If a conversion rate of 8 dollars is worth 13 euros, how many euros do you get
when you convert 500 dollars?
Oak Street and Elm Street run parallel to each other. When Main Street
intersects them, it forms exterior 28, measuring 60°. What is the-
measure of
22?
Answer:
100degrees
Step-by-step explanation:
From the given diagram;
<2 = <6 (corresponding angle)
Since <6 + 80 = 180
<6 = 180 - 80
<6 = 100 degrees
Since <2 = <6, hence <2 = 100degrees
Which of the statements below are true? Select all that apply. A) The table shows a proportional relationship B) The table does not show a proportional relationship C) With $3.00, you could buy 10 bananas D) Each banana costs $0.30
Answer:
go to school, do your work, you are only cheating yourself, not the school, or end up homeless
Step-by-step explanation:
Twelve times of a number decreased by lo is equal to 14. write this in a mathematical sentence and find the number
Answer:
12n-10=14, n=2
Step-by-step explanation:
( Twelve times of a number decreased by 10 is equal to 14 ) This sentence can be written mathematically to be: 12n-10=14
The answer: Add 10 to both sides: 12n-10=14 > 12n-10+10=14+10 > 12n=24
Divide both sides by 12: 12n=24 > [tex]\frac{12n}{12} =\frac{24}{12}[/tex] > n=2
what is the absolute value of the complex number −4−i 2√?
Answer:
-4-i2
The absolute value is the Square root of the real and Imaginary Parts of the Complex No
= √(-4)²+(-2)²
=√16+4
=√20
=2√5
The Brazos River is the longest river in Texas with a length of 1, 352 km. The elevation of the source is 453 m above sea level, and the mouth is the Gulf of Mexico, with an elevation of m above sea levelAt what angle does the Brazos River flow, on average , in degrees ? (Round to the nearest hundredth .)
Answer:
0.02degrees
Step-by-step explanation:
Given the following
Length of the river (adjacent) = 1352km = 1352000m
Height of the source (opposite) = 453m
Required
angle of elevation theta
Using the SOH CAH TOA identity
tan theta = opposite/adjacent
tan theta = 453/1352000
tan theta = 0.0003351
theta = arctan(0.0003351)
theta = 0.02 degrees
Hence the Brazos river flows at an angle of 0.02degrees to the nearest hundredth
Please help with this Ive been stressing out lately and I want a break I'll give hearts and 5 stars.
Answer:
8.8584073464
Step-by-step explanation:
area of the rectangle is 12
area of the circle is just pie
subtract the two and you get 8.8584073464
Answer:
Step-by-step explanation:
Emily has a coupon for 10%off of her purchase at the store. she finds a backpack that she likes on the discount rack. it’s original price is $60 but everything on the rack comes with the 30% discount. Emily says 10% and 40% make 50% so it will cost $30 is Emily correct explain what price will Emily pay for the backpack
Answer:
It is true that 20% and 30% make 50%. But in the context of sale prices it is essential to keep track of the wholes to which these percents apply. For the backpack, the 30% discount applies to the original $60 price: 30% of $60 is 0.3×60=18 making the discount on the backback $18. So after using the coupon, the backpack price becomes $42. Emily's additional 20% coupon applies not to the original backpack price but to the discounted price of $42: 20% of $42 is $8.40. Emily would need to save an additional $12 off the $42 price in order to buy the backpack for $30 so her calculations are not correct.
As seen in part (a), Emily's coupon lowers the discount rack price by $8.40 so she will pay
42−8.40=33.60
or $33.60.
Step-by-step explanation:
How do I simplify 8 - 4(x - 7x) + 3
Answer:
11 + 24x
Step-by-step explanation:
8 - 4(x - 7x) + 3
8 - 4x + 28x + 3
11 - 4x + 28x
11 + 24x
Answer:
8-4x+28x+3 = 24x+11
Step-by-step explanation:
brainliest?
Lisa, an experienced shipping clerk, can fill a certain order in 13 hours. Felipe, a
new clerk, needs 15 hours to do the same job. Working together, how long will it
take them to fill the order?
The area of a rectangle is 93.6 square inches. If the length of one of its sides is 5.2 in. what is its perimeter?
the area of a rectangle is the product of its length and width.
The diameter of a circle is 4 meters. What is the circles circumference
Answer:
12.56m²
Step-by-step explanation:
So the formula for the circumference of a circle is π x diameter, so we just have to plug into our equation (we're using 3.14 as π):
3.14 x 4 = 12.56
So the circumference of your circle is 12.56 meters²
hope this helps:)
1. What is the opposite of -17
Answer:
Step-by-step explanation:
17
Question 8
8. Ray is making face masks and needs to
purchase elastic cord. He needs 10.25 cm
elastic cord for each face mask. He orders 20
m of elastic cord. If he doesn't want any of
the cord to be wasted, what is the least
amount of extra cord that he would need to
add to his order of 20 m?
A.
B.
9 cm
10.25 cm
C.
D.
20.09 m
20.9 m
9514 1404 393
Answer:
B. 9 cm
Step-by-step explanation:
The number of face masks Ray can make with 20 m of cord is ...
(20 m)(100 cm/m)/(10.25 cm/mask) = 195.12195 masks
To make one more mask, he will need to buy an additional amount of ...
(196 -195.12195)×(10.25 cm) ≈ 9.00 cm
Ray would need to add 9 cm of cord to his order.
Solve for
X/11=10/12
Give your answer as an improper
fraction in its simplest form.
12x = (10)(11)
12x=110
x=110÷12
x=55/6
Question #7
Correct answer is B
Explain or show steps
Refer to the diagram below. We have the following points
A = base of the streetlampB = base of the personC = tip of the person's shadowD = top of the streetlampE = head of the personThe shadow extends from point B to point C. If we let x be the the horizontal distance from the lamp to the person, then dx/dt represents the speed at which the person is walking away from the lamp. In this case, dx/dt = 4 feet per second.
Let y be the length of the shadow. We can use similar triangles and proportions to help find what y is equal to in terms of x
AD/BE = AC/BC
15/6 = (x+y)/y
15y = 6(x+y)
15y = 6x+6y
15y-6y = 6x
9y = 6x
y = 6x/9
y = 2x/3
y = (2/3)*x
The length of the shadow is 2/3 that of the distance from the person to the lamp.
Now apply the derivative to both sides to compute dy/dt, which represents how fast the shadow is changing.
y = (2/3)x
dy/dt = d/dt[ (2/3)x ]
dy/dt = (2/3)*d/dt[ x ]
dy/dt = (2/3)*dx/dt
dy/dt = (2/3)*4
dy/dt = 2.667
The rate in which the shadow is lengthening is approximately 2.667 ft per second.
1.
Which of the following is acute angle?
Write the log equation as an exponential equation. You do not need to solve for x.
log (x-6) (6) = 3x – 5
Answer:
(x-6)^3x-5 =6
Step-by-step explanation:
logb a=c ------> b^c =a
For each of the following variables, identify the type of variable (categorical vs. numerical).
(I) Fuel economy (miles per gallon) of used car
(II) Number of auto insurance claims in a month
1) (I) Categorical , and (II) Categorical
2) (I) Categorical , and (II) Numeric
3) (I) Numeric , and (II) Numeric
4) There is no correct match.
5) (I) Numeric , and (II) Categorical
Answer:
3) (I) Numeric , and (II) Numeric
Step-by-step explanation:
Numeric variable:
The variable assume number values.
Categorical values:
The variable assumes labels. Examples are yes/no, good/bad.
(I) Fuel economy (miles per gallon) of used car
(II) Number of auto insurance claims in a month
Both of these variables are numbers, none have labels, so they are both numeric. The correct answer is given by option 3).
4 + (m -n )^4 when m =7 and n = 5 whats the value ?
Answer:
20
Step-by-step explanation:
We plug m and n into the expression because we know that it is. Therefore, the expression is 4+ (7-5)^4. Simplify this to get 4+(2)^4. 2^4 is equal to 2x2x2x2 which is equal to 4x4 which is equal to 16. Therefore, 2^4 is 16. 4+16 is equal to 20. Therefore, the answer is 20.
If this has helped please mark as brainliest
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{Equation:}[/tex]
[tex]\mathsf{4 + (m - n )^4}[/tex]
[tex]\large\textsf{Solving:}[/tex]
[tex]\mathsf{4 + (m - n )^4}[/tex]
[tex]\mathsf{\mathsf{= 4 + (7 - 5)^4}}[/tex]
[tex]\mathsf{= 4 + (2)^4}[/tex]
[tex]\mathsf{= 4 + (2\times2\times2\times2)}[/tex]
[tex]\mathsf{= 4 + 2\times2\times2\times2}[/tex]
[tex]\mathsf{= 4 + 4\times 4}[/tex]
[tex]\mathsf{= 4 + 16}[/tex]
[tex]\mathsf{= 20}[/tex]
[tex]\large\textsf{Therefore, your answer should be:}[/tex]
[tex]\large\boxed{\frak{20}}\large\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Here is my question it is worth 15 points!
Answer:
What is your question????
Answer:
you don't have a question here tho
Step-by-step explanation:
Someone help me with this pls ty :) Math. No Fake answers please!!!
Answer:
-1 , 5 for the original figure and 7, 2 for the final figure
Step-by-step explanation:
Self Explanatory
If you want explanation, comment on this answer and I will tell you
Help plzzzzz fast and no links
Answer:
x=60
Step-by-step explanation:
I am going to try to explain this to the best of my abilities, but if you dont understand please let me know and I'll clarify. There is a straight ine tha that equals 180, so you do 180-120=60
Students set a goal of collecting 900 cans for the canned food drive. The number of cans they have collected so far is 82% of their goal. How many more cans do the students need to collect to reach their goal?
Answer:
162 cans
Step-by-step explanation:
100 - 82 = 18
18% of 900 =
0.18 * 900 =
162
Find cotθ if θ terminates in Quadrant III and secθ = 2
a. - (sqrt 3)/3
b. (sqrt 3)/3
c. - sqrt 3
d. sqrt 3
Answer:
we have
secθ = 2
[tex] \frac{1}{cos θ} [/tex]=2
Cosθ =[tex] \frac{1}{2 }[/tex]
[tex] \frac{b}{h }=\frac{1}{2 }[/tex]
b=1
h=2
p=[tex] \sqrt{2²-1} = \sqrt{3} [/tex]
again
Cot θ=[tex] \frac{b}{p }[/tex]
Cot θ=[tex] \frac{1}{ \sqrt{3}} [/tex]
Cot θ=[tex] \frac{\sqrt{3}}{3} [/tex]
It lies in Quadrant III cot is positive
Cot θ=[tex] \frac{\sqrt{3}}{3} [/tex]
b. (sqrt 3)/3
A piece of aluminum that is 20 cm³ has a mass of 54 g.
a. What is the density of the aluminum?
A rectangular tank measuring 35 cm by 28 cm by 16 cm is 2/5 filled with
water. The water is poured into an empty cubical tank of edge 18 cm until
it is full. How much water is left in the rectangular tank? Give your answer
in millilitres.
Answer:
Amount of water left in tank = 440 cm³
Step-by-step explanation:
Given:
Sides of tank respectively = 35 cm , 28 cm , 16 cm
Water level in tank = 2/5
Side of a cubic tank = 18 cm
Find:
Amount of water left in tank
Computation:
Volume level in rectangular tank = [2/5][35 x 28 x 16]
Volume level in rectangular tank = [2/5][15,680]
Volume level in rectangular tank = [31,360/5]
Volume level in rectangular tank = 6,272 cm³
Volume of cube = side³
Volume of cube = 18³
Volume of cube = 5,832 cm³
Amount of water left in tank = Volume level in rectangular tank - Volume of cube
Amount of water left in tank = 6,272 - 5,832
Amount of water left in tank = 440 cm³
A surveyor is 100 feet from a building. He finds the angle of elevation to the top of the building is 23 degrees. If the surveyor’s eyelevel is 5.3 feet above the ground, find the height of the building.
Answer:
47.7 ft
Step-by-step explanation:
tan= o/a
tan(23)= x/100
x=100/tan(23)
x= 42.4
42.4 + 5.3 = 47.7
Answer:
m∠B = 15°
and
h ≈ 31.28 ft
Step-by-step explanation:
only if it's on edge 2021. this showed up when I put in the question, so imma just assume there are others here like me.
Sarah rode her bike 54km in 4hours what’s her average speed?
Answer:5.4 km
Step-by-step explanation: