The probability that an adult resident in this city regularly uses public transportation, given that he or she has the ability to drive will be 93%.
What is the addition rule of size for two subsets?For two subsets A and B of the universal set U, we have:
[tex]\rm n(A \cup B) = n(A) + n(B) - n(A \cap B)[/tex]
A survey was given to adult residents in a particular city.
It found that 22% of the residents regularly use public transportation, and 85% of the residents have the ability to drive.
14% of the residents regularly use public transportation AND have the ability to drive.
Let P(A) be the probability of the adults that uses public transportation regularly and P(B) be the probability of the adults that has the ability to derive.
Then the probability that an adult resident in this city regularly uses public transportation, given that he or she has the ability to drive will be
n(A) = 0.22
n(B) = 0.80
n(A∪B) = 0.14
Then we have
[tex]n(A \cap B) = 0.22 + 0.85 - 0.14\\\\n(A \cap B) = 0.93\\\\n(A \cap B) = 93\%[/tex]
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5 cm is the diameter 12 cm is the height was is the answer round to the nearest tenth
Answer:
03.97655 that will be there for answers
"Given m = -2/5 and b = -7, write the equation of the line containing these points"
can someone help?
Answer: y = (-2/5)x - 7
This is the same as writing [tex]y = -\frac{2}{5}x-7[/tex]
======================================================
Explanation:
Any linear equation is of the form y = mx+b, known as slope-intercept form
m = slope
b = y intercept
We'll replace m with -2/5 and replace b with -7 to get y = (-2/5)x + (-7) which simplifies to y = (-2/5)x - 7
Convert each number from real to scientific notation.
11) 0.00006228
12) 0.00007243
13) 13,760
14) 839.1
15) 0.00006324
16) 0.003136
17) 0.00009435
18) 0.0006437
19) 0.001232
20) 0.007955
Answer:
6.228×10-⁵
7.243 × 10-⁵
1.376 ×10⁴
8.391×10²
6.324×10-⁵
3.136×10-³
9.435×10-⁵
6.437×10-⁴
1.232×10-³
7.955×10-³
Find the volume of the cylinder in terms
of pi
8 m
3.8 m
Answers
60.8
57.76
438.98
115.52
Answer:
115.52 m³
Step-by-step explanation:
As per given question we have provided that :
➟ Height of cylinder = 8 m➟ Radius of cylinder = 3.8 mWe need to find the volume of cylinder :
➟ Volume of cylinder = πr²hSubstituting all the given values in the formula to find the volume of cylinder :
[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi {r}^{2}h}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi{(3.8)}^{2}8}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi{(3.8 \times 3.8)}8}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi{(14.44)}8}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi \times 14.44 \times 8}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi \times 115.52}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = 115.52 \pi \: {m}^{3}}}}[/tex]
[tex]{\star\underline{\boxed{\sf{\pink{Volume_{(Cylinder)}} = \purple{115.52 \pi \: {m}^{3}}}}}}[/tex]
Hence, the volume of cylinder is 115.52 m³.
[tex] \rule{200}2[/tex]
If you have 1 apple and add two more apples every 10 minutes for five hours how many apples would you have
Answer: 61 apples
Step-by-step explanation:
Given:
1 apple
+2 apples = +10 minutes
1 hour = 60 minutes
60/10 = 6 x 2 = 12 apples/hr
12 x 5 = 60 apples for 5 hours
60 + 1 = 61 apples
Hiroto’s texting plan costs $20 per month, plus $0.05 per text message that is sent or received. Emilia’s plan costs $10 per month and $0.25 per text. Using the graph below, which statement is true?
a. Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent.
b. Both plans cost the same when 22 texts are sent.
c. Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent.
d. Both plans cost the same when 50 texts are sent.
Answer:
d
Step-by-step explanation:
[tex]20 + .05x = 10 + .25x[/tex]
[tex].20x = 10 [/tex]
[tex]x = 50[/tex]
What is the inverse of the function f(x)=-1/2(x+3)?
The inverse of the function is : [tex]\frac{-1-6x}{2x}[/tex]
What is an inverse function?An inverse function is a function that serves as an eliminator of a given function.
A function that has an inverse is called invertible function and it is denoted as [tex]f^{-1}[/tex].
Analysis:
let y = [tex]\frac{-1}{2(x+3)}[/tex]
so that,
2y(x+3) = -1
2yx + 6y = -1
2yx = -1 -6
x = [tex]\frac{-1 - 6y}{2y}[/tex]
replacing y with x
[tex]f^{-1}[/tex](x) = [tex]\frac{-1-6x}{2x}[/tex]
In conclusion, the inverse of the function is : [tex]\frac{-1-6x}{2x}[/tex]
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Share 48 in the ratio 4:2
Answer:
48: 24
Step-by-step explanation:
divide.
hrlppppppppppp asappppp
Answer:
a) 6x + 5x and 11x
b) 6⋅1 + 6⋅4y and 6 + 24y
Step-by-step explanation:
a) 10x - 4x + 5x <== combine like terms
6x + 5x
11x
Ans: 6x + 5x and 11x
b) 6(1 + 4y) <== distribute
6(1) + 6(4y)
6 + 24y
Ans: 6⋅1 + 6⋅4y and 6 + 24y
Hope this helps!
4 Write always, sometimes, or never. 1. Multiplying a decimal by 104 shifts the decimal point 4 places to the right. a 2. The product of a whole number and a decimal number is a whole number 3. The product of two decimal numbers less than 1 is greater than either factor 4. The product of a number multiplied by 0.1 is 10 times as much as multiplying the same number by 0.01.
Answer:
1. Never
2. Sometimes
3. Never
4. Always
Step-by-step explanation:
hope this helps
solve the equation
3/4(x-16)=-2(x-3)+4
Answer:
The answer is X equals 8.
Step-by-step explanation:
Solve for X by simplifying both sides of the equation, then isolating the variable. X equals 8.
IF YOU HELP ILL GIVE U BRAINIEST!! HELPPPPPP
Solve for c in terms of x.
Answer:
c = x + 5
Step-by-step explanation:
using Pythagoras' identity in the right triangle
c² = 5² + ([tex]\sqrt{x^2+10x}[/tex] )²
= 25 + x² + 10x
= x² + 10x + 25 ← a perfect square
c² = (x + 5)²
take the square root of both sides
c = [tex]\sqrt{(x+5)^2}[/tex] = x + 5
Timmy drops two objects: a small book, and a bowling ball. The bowling ball has a mass of 3.6 kg and the book has a mass of 1.4 kg. If there is no air resistance, which object will fall at a faster rate? Explain.
Answer:
Both object will fall at the same speed
Step-by-step explanation:
Gravitational acceleration acting on both if those is equal. so Heavy objects fall at the same rate (or speed) as light ones
Pls HELPPP !!!!!!!!Variables y and x have a proportional relationship, and y = 21 when x = 14. What is the value of x when y = 12?
Answer:
8
Step-by-step explanation:
y=21 divided by x=14 = 1.5 so Y is 1.5 times larger than X so you should divide y=12 by 1.5 to get 8
At the school football game, there are 42 adults
sitting in the bleachers. the ratio of adults to
students in the bleachers is 7 to 9. how many
students are sitting in the bleachers?
Answer:
54 students
Step-by-step explanation:
42 / 7 = 6
9 x 6 = 54
42 : 54 = 7 : 9
What is the extraneous solution to x+2=3x+34
Answer:
4x + 36
Step-by-step explanation:
combine like terms
3x + x = 4x
2 + 34 = 36
4x + 36 Is the full answer
Let k = 7.
Drag the expression into the box that makes the comparison true.
Answer:
k^2 ÷ k^2 the third one is correct
How do I find a point on the line whose equation is 3x-8y=54
An equation is formed of two equal expressions. A point that will lie on the line 3x-8y=54 is (5,-4.875).
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
To find a point on the line 3x-8y=54, take any random value of x and substitute for the equation, and solve the equation for y. Now, as you have the value of x and y, you have the coordinate of the point.
Let the value of x be 5.
3x-8y=54
3(5)-8y =54
15-8y = 54
-8y = 54 - 15
-8y = 39
y = -4.875
Hence, a point that will lie on the line 3x-8y=54 is (5,-4.875).
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Pls help i will give brainliest to whoever gives a good answer
aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. to prepare for the event, she is practicing and keeping track of her time to complete each station.
the x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.
(1, 3), (2, 6), (3, 12), (4, 24)
part a: is this data modeling an arithmetic sequence or a geometric sequence? explain your answer. (2 points)
part b: use a recursive formula to determine the time she will complete station 5. show your work. (4 points)
part c: use an explicit formula to find the time she will complete the 9th station. show your work. (4 points)
source
stylesnormal
Answer:
(-11,12)
Step-by-step explanation:
add 4 to 7 then subtract 3 and add 25
How many square tiles of side 20cm are needed to cover a floor 3.8m by 2.8m?
Answer: 266
Step-by-step explanation:
Area of floor 3.8 × 2.8 = 10.64m²
Tiles 0.2m × 0.2m = 0.04m²
Number of titiles = 10.64/0.04
how many turtles die every year because of humans?
save the turtles
Answer:
We found, based on beach strandings, that more than 1,000 turtles are dying a year, after becoming tangled up, but this is almost certainly a gross underestimate. Young turtles and hatchings are particularly vulnerable to entanglement.” In recent years, global turtle population numbers have been falling.
7. Interest is compounded semianually. Find the amount in the account after the given time.
Answer:
$1,229.26
Step-by-step explanation:
Finding compound interest :
A = P (1 + r/n)^(nt)A = (1,000)(1 + 0.07/2)²⁽³⁾A = (1,000)(1.035)⁶A = (1,000)(1.22925533)A = $1,229.26Please help. Can't get calculator to work solve for x. Look at the picture.
Hey there!
4/5 = x/9
CROSS-MULTIPLY the fractions
4 * 9 = x * 5
4 * 9 = 5 * x
SIMPLIFY IT!
36 = 5x
5x = 36
DIVIDE 5 to BOTH SIDES
5x/5 = 36/5
SIMPLIFY IT!
x = 36/5
Therefore, the answer should be:
x = 36/5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
[tex] \boxed{ \boxed{\bf x= \cfrac{36 }{5} }\bf \: or\:\boxed{\bf x= 7.2}}[/tex]
Step-by-step explanation:
[tex] \bf \cfrac{4}{5} = \cfrac{x}{9} [/tex]
We first need to multiply both sides by 9.
[tex]\bf \cfrac{4}{5} \times 9 = x[/tex]Let's put 4/5 × 9 as a single fraction.
[tex] \bf \cfrac{4 \times 9}{5} = x[/tex]Multiply 4 and 9 = 36
[tex] \bf x= \cfrac{36 }{5} \: \: or\: \: x=7.2 [/tex]«••••••••••••••«•°•»•••••••••••••••»
you take a student loan of $60,000 to go to a private college. interest is 5.5% compounded monthly. The life of the loan is 20 years. How much is the total cost of the loan
Answer:
637 DOLLARS
Step-by-step explanation:
have a good day
Please help me on this!
Question : For which integer, x, does the value of g(x) begin to exceed the value of f(x) ?
A. 30
B. 29
C. 28
D. 27
ANSWER: B. 29
#learnalways #brainly
Step-by-step explanation:
Hope it's help
Brainliest
#Follow
Colleen owns a house. In the house, on a tile floor is a throw rug and a heavy decorative urn. Most likely to meet the definition of a fixture is Group of answer choices the urn. the throw rug. the tile floor. None of them are fixtures
The item in the Colleen's house that is most likely to meet the definition of a fixture is a tile.
What is a fixture?A fixture is an item in a house that is permanently attached to a house with the use of a glue, nails or bolt. It would not be easy to remove fixtures from a house. Examples of fixtures are tiles, doors and windows.
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please help!!! evaluate -|-8-2|
[tex]-|-8-2|\\\\=-|-10|\\\\=-10~~~~~~~~~~~~~~~~~~~~~~~~~~~;|-a| = a[/tex]
Answer: Heyaa! ~
Your Answer is... -10, Which is B.
Step-by-step explanation:
-|-8-2|-|-10|-10Hopefully this helps you! ^
4. If the diameter (across) is 30 cm, what is the measure of the radius? 30 cm Hint: The radius is 1/2 the diameter d=21.
Answer:
If the diameter is 30 cm, the radius is 15 cm
Step-by-step explanation:
What is the diameter of a circle?It's a straight line that runs from one side of the perimeter through the center to the other side of the perimeter.
The hint is exactly correct, the radius is a half of the diameter, or the diameter is 2 times the radius.
If the diameter is 30cm, the measure of the radius is 30 ÷ 2 ( = 15)A Cone has a radius of 3 and a height of 5. solve.
Assuming your looking for volume.
The following formula is used for calculating the volume (V) of a cone.
[tex]\boxed{V=\frac{1}{3}\pi r^{2} h}[/tex]
where r is the radius and h, the height.Substitute r = 3 and h = 5 into the formula.⇒ [tex]V=\frac{\pi *3^{2} *&5}{3} =\frac{45*\pi }{3}[/tex] ≈ [tex]47.124[/tex] [tex]cubic[/tex] [tex]cm[/tex]
A box in the shape of a rectangular prism has the dimensions shown. What is the length of the interior diagonal of the box? Round to the nearest hundredth. Enter your answer in the box.
