A place from this table is chosen at random. Let event A= the place is a city.
what is P(ac)
A. 3/7
B. 5/7
C. 4/7
Answers
Answer:
4/7
Step-by-step explanation:
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The probability of the complement of event A P(Ac), which is the event of a place to not be a city, is 4/7. Option C is correct.
How to find the probability of an event?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
A place from this table is chosen at random. Let event A= the place is a city.
The total number of places are 7 given in the table.There are total three places which are city. Thus, the probability of a country to be a city is,
[tex]P(A)=\dfrac{3}{7}[/tex]
Now, for its complement, the probability of a place not be a city is,
[tex]P(A^c)=1-\dfrac{3}{7}\\P(A^c)=\dfrac{7-3}{7}\\P(A^c)=\dfrac{4}{7}[/tex]
Thus, the probability of the complement of event A P(Ac), which is the event of a place to not be a city, is 4/7. Option C is correct.
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Related Questions
Which measure of center is best to use for this set of data?
45, 39, 49, 37, 3, 51
Answers
Answer:
not sure no attachments but i think its 49 or 37 or both together 88
Step-by-step explanation:
URGENT!!!!!!
Dan's car depreciates at a rate of 17% per year.
By what percentage has Dan's car depreciated after 4 years?
Give your answer to the nearest percent.
Answers
Answer:
an=yearn−year−0.17n+0.34
Step-by-step explanation:
Answer:
68%
Step-by-step explanation:
17% × 4
68%
What is the Definition of Algebra?
Answers
Answer:
the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
Step-by-step explanation:
1. Annette scored 85. 73. and 94 on her first three quizzes. How high does she need to
score on her fourth quiz to keep her quiz average at at least a B (8046) ?
Answers
Answer:
at least a score of 68
Step-by-step explanation:
(85+73+94+q)/4 ≥ 80
(252 + q)/4 ≥ 80
multiply each side by 4 to get:
252 + q ≥ 320
q ≥ 68
Find the missing length. The triangles in each pair are similar.
A. 17
B. 16
C. 11
D. 13
Answers
21/7=3
39/3=13
Is -2 rational or irrational?
Answers
Answer:
Rational
Step-by-step explanation:
Rational. It can be expressed as a fraction, which is the definition of a rational number.
Hope this Helps!
-2 is rational
This is because every negative integer is a negative rational number.
We know that -1 = -1/1, -2 = -2/1, -3 = -3/1, -4 = -4/1 and so on …….
In other words, any negative integer n can be written as n = n/1, here n is negative and 1 is positive.
So, negative 2 is rational.
Determine the area of the rectangle. Write your answer as a decimal.
Answers
Answer: all you have to do is times length times width
which is 1 1/2x4 1/2 and then make it a decimal
Margaret and Bethany have a lemonade stand for one week each summer.
Each day they spend $1.50 on the ingredients necessary to make 20 cups
of lemonade. They sell each cup of lemonade for $0.25. How much do the
girls, after expenses, earn on a day that they sell 18 cups of lemonade? *
$6.00
$4.50
$3.50
$3.00
Answers
Answer:
6.00
Step-by-step explanation:
What is (1/2+i √3/2)^5?
Answers
Answer:
Hello! I know I am late but here is the answer for anyone else who might need it.
D. 1/2-i√3/2
Step-by-step explanation:
I got it right on edge. Hope this helps!
The value of given expression is [tex]\frac{1}{2}-\frac{\sqrt{3} i}{2}[/tex].
What is binomial theorem?
The expression of the form (a+b)^n is expand by binomial theorem.
The expansion is [tex](a+b)^{n}=\sum_{r=0}^{n}{ }^{n} C_{r} a^{n-r} b^{r}[/tex].
What is the value of given expression?Use a=1/2 and b=[tex]b=\frac{i\sqrt{3} }{2}[/tex] into the expansion of binomial.
[tex]\left(\frac{1}{2}+\frac{\sqrt{3} i}{2}\right)^{5}=\sum_{k=0}^{5}\left(\begin{array}{l}5 \\k\end{array}\right)\left(\frac{1}{2}\right)^{5-k}\left(\frac{\sqrt{3} i}{2}\right)^{k}[/tex]
When k=0 then, [tex]\left(\begin{array}{l}5 \\0\end{array}\right)\left(\frac{1}{2}\right)^{5-0}\left(\frac{\sqrt{3} i}{2}\right)^{0}=\frac{5 !}{(5-0) ! 0 !}\left(\frac{1}{2}\right)^{5-0}\left(\frac{\sqrt{3} i}{2}\right)^{0}=\frac{1}{32}[/tex]
When k=1 then, [tex]\left(\begin{array}{l}5 \\1\end{array}\right)\left(\frac{1}{2}\right)^{5-1}\left(\frac{\sqrt{3} i}{2}\right)^{1}=\frac{5 !}{(5-1) ! 1 !}\left(\frac{1}{2}\right)^{5-1}\left(\frac{\sqrt{3} i}{2}\right)^{1}=\frac{5 \sqrt{3} i}{32}[/tex]
When k=2 then, [tex]\left(\begin{array}{l}5 \\2\end{array}\right)\left(\frac{1}{2}\right)^{5-2}\left(\frac{\sqrt{3} i}{2}\right)^{2}=\frac{5 !}{(5-2) ! 2 !}\left(\frac{1}{2}\right)^{5-2}\left(\frac{\sqrt{3} i}{2}\right)^{2}=-\frac{15}{16}[/tex]
When k=3 then, [tex]\left(\begin{array}{l}5 \\3\end{array}\right)\left(\frac{1}{2}\right)^{5-3}\left(\frac{\sqrt{3} i}{2}\right)^{3}=\frac{5 !}{(5-3) ! 3 !}\left(\frac{1}{2}\right)^{5-3}\left(\frac{\sqrt{3} i}{2}\right)^{3}=-\frac{15 \sqrt{3} i}{16}[/tex]
When k=4 then, [tex]\left(\begin{array}{l}5 \\4\end{array}\right)\left(\frac{1}{2}\right)^{5-4}\left(\frac{\sqrt{3} i}{2}\right)^{4}=\frac{5 !}{(5-4) ! 4 !}\left(\frac{1}{2}\right)^{5-4}\left(\frac{\sqrt{3} i}{2}\right)^{4}=\frac{45}{32}[/tex]
When k=5 then, [tex]\left(\begin{array}{l}5 \\5\end{array}\right)\left(\frac{1}{2}\right)^{5-5}\left(\frac{\sqrt{3} i}{2}\right)^{5}=\frac{5 !}{(5-5) ! 5 !}\left(\frac{1}{2}\right)^{5-5}\left(\frac{\sqrt{3} i}{2}\right)^{5}=\frac{9 \sqrt{3} i}{32}[/tex],
Now we will add all the results to get the expansion of given expression,
[tex]\left(\frac{1}{2}+\frac{\sqrt{3} i}{2}\right)^{5}=\frac{1}{32}+\frac{5 \sqrt{3} i}{32}-\frac{15}{16}-\frac{15 \sqrt{3} i}{16}+\frac{45}{32}+\frac{9 \sqrt{3} i}{32}[/tex]
On simplifying,
[tex]\left(\frac{1}{2}+\frac{\sqrt{3} i}{2}\right)^{5}=\frac{1}{2}-\frac{\sqrt{3} i}{2}[/tex]
Therefore, the value of given expression is [tex]\frac{1}{2}-\frac{\sqrt{3} i}{2}[/tex].
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After takeoff, a plane flies in a straight line for a distance of 4000 feet in order to gain an altitude of 800 feet. Find the angle of elevation from the ground to the plane.
Need help please, thank you!
Answers
Answer:
The angle of elevation from the ground to the plane is 11.5 degrees
Step-by-step explanation:
Given -
Horizontal distance from the point of takeoff to which the plane flies in a straight line = 4000 feet
The vertical distance travelled from the ground to the plane is 800 feet
Angle of Elevation
[tex]Sin X= \frac{800}{4000} \\X = Sin^{-1}\frac{800}{4000}\\X = 11.5[/tex]
The angle of elevation from the ground to the plane is 11.5 degrees
In Oo, mCA= 100 and ABCD.
What is mBD?
mBD
Answers
Answer:
arc BD = 100
Step-by-step explanation:
arc BD = arc CA because ∠AOC = ∠BOD (vertical angles)
arc BD = 100
1 ÷ 1/4 what does that equal
Answers
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Trey bought 3 and 3 fourths pounds of apples from the grocery store. Corinne bought 1 and 1 third pounds of grapes from the grocery store. How many more pounds of fruit did Trey buy
Answers
Answer: 2 5/12
Step-by-step explanation:
Trey bought 3¾ pounds of apples from the grocery store. Corinne bought 1⅓ pounds of grapes from the grocery store.
To know how many more pounds of fruit that Trey bought, we have to find the difference between the value given above and this will be:
= 3¾ - 1⅓
= 3 9/12 - 1 4/12
= 2 5/12
Trey bought 2 5/12 pounds more.
A 16 oz package of brown rice costs 79 cents and a 32 oz package of
brown rice costs $2.09. Which package is a better deal?
I have to get this done by tonight please help me!!
Answers
Answer:
The 16oz is a better deal
Step-by-step explanation:
32 = 2 * 16
buying 2 packages of 16 oz cost
0.79 * 2 = 1.58
1.58 < 2.09
The 16oz is a better deal
Answer:
The 16 oz package.
Step-by-step explanation:
Make the 16 oz a 32 oz so we can compare the prices
Mutiply 0.79 X 2 = 1.58
The 16 oz is because you can buy it twice making it a 32 oz for less than the orginal 32 oz.
(Compared side by side)
2.09 > 1.58
hope this helped!
Please answer this for me correctly. There are two questions. THANK YOU!!
Answers
Answer:
the second one is 57
the 1st is JIL
Thanks For Brainlist
Geometry questionnn!
Answers
Answer:
88 units
Step-by-step explanation:
[tex] In\: \triangle OBR \:\&\: \triangle OWN[/tex]
BR || WN (Given)
Therefore,
[tex] \angle OBR \cong \angle OWN[/tex] (Alternate angles)
[tex] \angle BOR \cong \angle WON[/tex] (Vertical angles)
[tex] \therefore \triangle OBR \sim \triangle OWN[/tex] (AA postulate)
[tex] \therefore \frac{OR}{ON} =\frac{BR}{WN} [/tex] (csst)
[tex] \therefore \frac{OR}{56} =\frac{24}{42} [/tex]
[tex] \therefore \frac{OR}{56} =\frac{4}{7} [/tex]
[tex] \therefore OR =\frac{4\times 56}{7} [/tex]
[tex] \therefore OR ={4\times 8} [/tex]
[tex] \therefore OR =32 [/tex]
RN = OR + ON
RN = 32 + 56
RN = 88 units
Help please?
.........................
Answers
130, 60, 80, 30, 40, 60, 60, 10, 30, 60, 60, 130, 150, 30, 150.
Now I hope to god I haven’t made any calculative errors, and I’m sorry if I did.
Determine whether the triangle with the given side lengths is acute,
right, obtuse or not a triangle 14,16,27
Answers
Answer:
this triangle is "obtuse
Step-by-step explanation:
Since sides 14 and 16 add up to 30, which is more than the third side, 27, we DO have a triangle here. The sides of lengths 14 and 16 form an angle greater than 90 degrees, and so this triangle is "obtuse." It's not a right triangle either, because the Pythagorean Theorem is not satisfied: 14^2 + 16^2 = 452, which is NOT 27^2.
26. If you know the lengths of two sides and the measure of _____ angle(s) of a right triangle, you can find the measure of the other two angles and the length of the other side.
Answers
Answer:
1
Step-by-step explanation:
For any triangle, you only need to know 3 pieces of information out of the 6 angles and sides to solve for the rest of the triangle.
1. Put the following numbers in order from least to greatest. 0.8, 1/10, 3/100, 0.91
2. Put the following numbers in order from least to greatest. 0.9, 0.35, 11/100, 7/10, 0.6, 0.21
3 Put the following numbers in order from least to greatest. 36/100, 0.2, 1/10, 8/100, 0.5, 0.44
PLEASE HELP ITS DUE IN 10 MINUTES
Answers
Answer:
0.8,0.91,1/10,3/100
0.6,0.9,0.21,0.35,7/10,11/100
0.2,0.5,1/10,0.44,8/100
Step-by-step explanation:
Answer:
0.8,0.91,1/10,3/100
0.6,0.9,0.21,0.35,7/10,11/100
0.2,0.5,1/10,0.44,8/100Step-by-step explanation: IVE DONE THIS BEFORE TOO
A car travels according to the table of value shown.what equation can be used to predict the distance (d) the car travels in the number of hours (h)
Answers
Answer:
Vajsjke
Step-by-step explanation:
ggzodxkdfdjhs
Find the volume of a right circular cone that has a height of 19.1 cm and a base with a radius of 13.6 cm. Round your answer to the nearest tenth of a cubic centimeter.
Answers
Answer: 3699.5 cm3
Step-by-step explanation:
A trip, including hotel and air, is prices at $319.19 after tax. If the tax rate is 12%, calculate the price before tax that will result in this tax-included amount
Answers
Answer: $285
Step-by-step explanation:
Given
A trip costs [tex]\$319.19[/tex] after-tax inclusion
The rate of tax is 12%
Suppose x is the amount of charge before tax inclusion
We can write
[tex]\Rightarrow x+12\%x=319.19\\\Rightarrow x(1+0.12)=319.19\\\\\Rightarrow x=\dfrac{319.19}{1.12}\\\\\Rightarrow x=\$284.99\approx \$285[/tex]
The amount before tax inclusion is $285
How many milliliters equal to 8.25 liters 
Answers
Answer: 8,500
Step-by-step explanation:
Answer:
8250 mL
Step-by-step explanation:
Multiply the volume value by 1000
please i’m trying to help my gf work i’m in 8th i’ll give you brainliest
Answers
Take a better pic and i will explain in comment
Answer:
here is ur answer.....
hope it helped u and ur gf......
center (3,-2), radius =5
Answers
Answer:
(x-3^2+y+2^2 =25
Step-by-step explanation:
Please solve 6 - 3x = 14
Answers
Answer:
Step-by-step explanation:
Answer:
X= -8/3
Step-by-step explanation:
Help me . Thank you !
Answers
Answer:
hmm,,,,,,
Step-by-step explanation:
The Fitzgerald paid $3,200 to heat their home in the year of 2018. By the end of the year 2019, they saw the cost of heating their home rose to $3,516 for the year. What could be use to find the difference in what they paid from 2918-2019?
Answers
Answer:
Substraction
Step-by-step explanation:
Given that
The amount paid in the year 2018 is $3,200
And, in the year 2019 the amount paid is $3,516'
We need to find the differnece between two years so how we can find
Basically we need to subtract the amount i.e.
= $3,516 - $3,200
= $316
hence, the difference is of $316 from 2018 to 2019
Part A: Mike wants to join a gym. He has to pay an initiation fee of $16 and equal monthly payments for the year. The most he wants to pay is $580 for the year for his gym membership. a.) Write an inequality that you can use to determine the most he would want to spend for his monthly payments.
Part B: Now use your inequality from 15a to determine how much Mike’s monthly gym payment can be if the most he wants to pay is $580 for the year for his gym membership..
Answers
Answer:
Part A: [tex]12x+16\leq 580[/tex]
Part B: $47 per month
Step-by-step explanation:
Part A: 12 months in a year. Pays x amount of $ per year, with an additional $16 initiation fee. He wants to spend less than $580 total a year. Thus, [tex]12x+16\leq 580[/tex].
Part B: Solve the inequality for x.
$580 - $16 = $564
x = $564/12 = $47
Hope this helps! :)