Given:
[tex]P(A)=0.4, P(B)=0.7, P(A\text{ and }B)=0.3[/tex]
To find:
The value of [tex]P(A\text{ or }B)[/tex].
Solution:
We know that,
[tex]P(A\text{ and }B)=P(A\cap B)[/tex]
[tex]P(A\text{ or }B)=P(A\cup B)[/tex]
It means, we have [tex]P(A)=0.4, P(B)=0.7, P(A\cap B)=0.3[/tex] and we need to find the value of [tex]P(A\cup B)[/tex].
[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]
[tex]P(A\cup B)=0.4+0.7-0.3[/tex]
[tex]P(A\cup B)=1.1-0.3[/tex]
[tex]P(A\cup B)=0.8[/tex]
Therefore, the value of [tex]P(A\text{ or }B)[/tex] is 0.8.
Your classmate says that the solutions to the given inequality are x > -2. Look carefully at the work. Should your friend have reversed the inequality symbol? Explain. Then solve the inequality correctly.
Please don't send those annoying files, I'm not trying to get a virus on my laptop. Please, if you can, just write out the steps/answer(s).
Answer:
x < -2 (No, he shouldn't have reversed the inequality symbol).
Step-by-step explanation:
Given the algebraic expression;
19 - 2(1 - x) < 13
Opening up the bracket, we have;
19 + (-2*1) + (-2*-x) < 13
19 + (-2) + (2x) < 13
19 - 2 + 2x < 13
17 + 2x < 13
Rearranging the equation, we have;
2x < 13 - 17
2x < -4
Dividing both sides by 2, we have;
x < -2
Hence, your friend shouldn't have reversed the inequality symbol (sign).
Note: you should only flip the inequality symbol (sign) when you're dividing by a negative number such as -2.
For example, if we had re-arranged the equation as;
17 - 13 < -2x
4 < -2x
Dividing both sides by -2, we have;
4 > x
Find the difference:
3 4/6 - 1/6
O A. 21 / 1
O B. 273
O c. 3 1 / 3
N-
D. 34
E. 3
O E. 3
Answer:
3 1/2
Step-by-step explanation:
4 1 3
_ - _ = _
6 6 6
Then we simplify. 3 3 1
_ ÷ = _
6 3 2
Then just add your 3 and there 3 1/2 is your asnwer
The difference between 3 4/6 and 1/6 will be 3 1/2.
Given numbers are:
(1)[tex]3\frac{4}{6}[/tex] [tex]=\frac{22}{6}[/tex]
(2)[tex]\frac{1}{6}[/tex]
What is a fraction?A fraction is a part of a whole.
The Difference between [tex]3\frac{4}{6}[/tex] and [tex]\frac{1}{6}[/tex] will be = [tex](\frac{22}{6} )-(\frac{1}{6} )[/tex]
[tex]=\frac{22}{6} -\frac{1}{6}[/tex]
[tex]=\frac{21}{6}[/tex]
[tex]=\frac{7}{2}[/tex]
[tex]=3\frac{1}{2}[/tex]
Hence, the difference between 3 4/6 and 1/6 will be 3 1/2.
To get more about fractions visit:
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ANSWER ASAP!!!
The two-way table displays data collected from a random group of college students. Which statements are correct? (frequencies rounded to nearest tenth)
A) The relative frequency of "like snowmobiles" and "like skateboards" is 76.2%. B) The relative frequency of "like snowmobiles" and "do not like skateboards" is 15.6%. C) The row conditional relative frequencies of "like snowmobiles" and "like skateboards" is 76.2%. D) The row conditional relative frequencies of "do not like snowmobiles" and "like skateboards" is 28.1%. E) The column conditional relative frequencies of "do not like skateboards" and "do not like snowmobiles" is 28.6%.
Answer:
a)45/125
b)25/125
c)80/125
d)45/125
e)10/35
Step-by-step explanation:
hope it is correct
The statements which are correct are B, C and E.
What is Relative Frequency?Relative frequency is defined as the ratio of the frequency by the total count of the data values.
We have to find the relative frequency in each option.
A) Frequency of "like snowmobiles" and "like skateboards" = 80
Total count = 160
Relative frequency of "like snowmobiles" and "like skateboards" = 80 / 160 = 0.5 = 50%
B) Frequency of "like snowmobiles" and "do not like skateboards" = 25
Total count = 160
Relative frequency of "like snowmobiles" and "do not like skateboards" = 25 / 160 = 0.15625 = 15.6%
C) Frequency of "like snowmobiles" and "like skateboards" = 80
Total row frequency = 105
The row conditional relative frequencies of "like snowmobiles" and "like skateboards" = 80 / 105 = 0.7619 = 76.19% ≈ 76.2%
D) Frequency of "do not like snowmobiles" and "like skateboards" = 45
Total row frequency = 55
The row conditional relative frequencies of "do not like snowmobiles" and "like skateboards" = 45 / 55 = 0.81818 = 81.82%
E) Frequency of "do not like snowmobiles" and "do not like skateboards" = 10
Total column frequency = 35
The column conditional relative frequencies of "do not like skateboards" and "do not like snowmobiles" = 10 / 35 = 0.2857 = 28.57% ≈ 28.6%
Hence the correct statements are B, C and E.
Learn more about Relative Frequencies here :
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If Westville has 15,200 households, predict the number of households that will have exactly 3 computers? Please answer I need help
Answer:
1140 households
Step-by-step explanation:
The results of a computer survey of 80 households in Westville are shown in the table.
So from the table we can see that 6 households have 3 numbers of computers.
So the probability is [tex]$\frac{6}{80}$[/tex]
Therefore, the probability of number of houses from a total of 15,200 houses to have exactly three computers is = [tex]$\frac{6}{80} \times 15200$[/tex]
= 1140 houses
A bag has 6 red rocks, 1 orange rock, 4 blue rocks, 1 white rock, and 7 yellow rocks. You randomly pull a rock from the bag, keep it out and then pull out another one. What is the probability of not getting a orange and then not getting a orange?
Answer: 17/19
Step-by-step explanation:
Number of red rocks = 6
Number of orange rock = 1
Number of blue rocks = 4
Number of white rock = 1
Number of yellow rocks = 7
Total number of rocks = 19
Probability of not getting a orange the first time will be (1 - 1/19) = 18/19.
Probability of not getting an orange the second time will be: (1 - 1/18) = 17/18
Probability of not getting an orange on both occasion will be:
= 18/19 × 17/18
= 17/19
A car travels about 63 feet in one second. At this speed about how many feet will the car travel in 7 seconds.
Answer:
441 feetStep-by-step explanation:
First we need to make this word problem into just numbers. Since we know feet per second (fps) we will multiply this by the given amount of seconds to find the answer
63 × 7
Now solve
After solving you should get 441 which is the answer
*EXTRA*
I have included a graph but it is hard to use since it is such a narrow line but still helpful since there is the equation included
Working alone, Darryl can mop a warehouse in 11 hours. Elisa can mop the same warehouse in 9
hours. If they worked together how long would it take them?
Answer:
≈ 5 hoursStep-by-step explanation:
Time needed if they work together:
1 / (1/11 + 1/9) = 1/ (20 / 99) = 99/20 ≈ 5 hoursKevin is painting a border around his dining room. What measurement does Kevin need to know about the wall before he starts?
1: Area
2: Volume
3:Perimeter
Answer:
Perimeter
Step-by-step explanation:
Perimeter is the distance around an object. In this scenario the object in question would be Kevin's dining room. Keyword for perimeter here is around.
What is the initial value of the function represented by this graph?
~ 5
~ 2
~ 0
~ 1
Find the gradient of the line segment between the points (-1,3) and (1,-2).
Give your answer in its simplest form.
-5/2
Step-by-step explanation:
-2-3/1-(-1) = -5/2
Please help i rlly need help
Answer:
Light, Volume
Step-by-step explanation:
The volume of sound; the loudness or softness of a musical passage.
Write the following expression using rational exponents. ^7√y^4= y^ The numerator of the exponent is Select a Value The denominator of the exponent is Select a Value.
Answer: The Numerator of The Exponent =4
The Denominator of The Exponent= 7
Step-by-step explanation:
Jay has an album that holds 500 hockey cards. Each page of the album holds 5 hockey cards. If 17% of the album is empty, how many pages are filled with hockey cards?
Answer: 83
Step-by-step explanation: 17% of 500 is 85. If 17% is empty, that means that you'd take away that 15%. 500 - 85 = 415. If each page holds 5 cards, we need to split those cards up between the pages. 415/5 = 83, so 83 pages will be used.
easy algebra question below first correct answer gets brainliest
Answer:
x ≈ ± 3.87
Step-by-step explanation:
Given
x² - 3 = 12 ( add 3 to both sides )
x² = 15 ( take the square root of both sides )
x = ± [tex]\sqrt{15}[/tex]
Then x ≈ 3.87 or x ≈ - 3.87 ( to 2 dec. places )
Can anyone please help me to do this with steps
Hello, I Am BrotherEye
Answer:
I Will Help You!!
But I require More imformation Step-by-step explanation:
help please.
giving brainliest
Answer:
17 qt
Step-by-step explanation:
What is 72 out of 96?
Answer:
75%
Step-by-step explanation:
72 is 75% of 96
what is the full form of CRT
Answer:
Cathode Ray tube is the answer I think
A pizza was cut into 4 equal pieces. If Maddie ate 14 of the pizza, and Marco ate 24 of the pizza, how many whole pieces of the pizza are left?
Answer:
1/4
Step-by-step explanation:
A pizza was cut into 4/4,
Maddie ate 1/4 of the pizza making it: 3/4
Then Marco ate 2/4 making it 1/4
There's your answer !
Sorry if it's incorrect.
Answer:
The answer is 10/4!
Step-by-step explanation:
I know this because my teacher Ms.Curly always tell me see how many pieces of pizza that were eating and then subtract 24 - 14 = 10 then you have 10/4 that is your answer!!
20 points Answer correct
Answer:
a
Step-by-step explanation:
sin25=x/18
x=0.4*18=7.6
the expression cos x (cos x - tanx sin x) simplifies to...
Answer:
cos(2x)
Step-by-step explanation:
The simplified expression is
How to evaluate trigonometric expression?
A Trigonometric expression consists of sin, cos and various other parameters which can be simplified using identities.
Given expression:
cos(x){cos(x)-tan(x)sin(x)}
Evaluation:
[tex]cos(x)(cos(x)-\dfrac{ sin(x)*sin(x)}{cos(x)})[/tex]
[tex]cos(x)(\frac{cos^{2} x-sin^{2}x}{cos(x)} )[/tex]
[tex]cos^{2}x-sin^{2}x[/tex]
[tex]cos2x[/tex]
Therefore, the given expression simplifies to cos2x.
To know more about trigonometric expressions refer:https://brainly.com/question/12542599
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what the answer please
Answer:
The right option should be c
Step-by-step explanation:
The measure of (OH-)
If the number of bacteria in a colony doubles every 480 hours and there is currently a
population of 200 bacteria, what will the population be 960 hours from now?
Answer:
800
Step-by-step explanation:
960 = 2 x 480, so the bacteria will double twice
200 x 2 x 2 = 800
Someone please! Check the answer twice! I just want one wrong and that’s it please! NO FILES I SWEAR IF SOMEONE ADDS A FILE THEIR GETTIN LA CANCLETA
Answer:
x = 55, because if you look the whole entire bar is 180° in total but you dont have to worry about that because that's not what the question is wanting you to look at, If you look really close there is a half and half on both sides so that means there is a 90° angle so you would have to take 90-35 and that is what gives you your missing angle which is 55.
how many whole numbers are between 0 and 1999
there are 2000 whole number
Can All mixed numbers can be renamed as decimals?
Answer:
We can convert a mixed number (or mixed fraction) to a decimal. Strategies to convert mixed fractions to decimals: Change the mixed fraction to an improper fraction and then divide. Convert the fractional part only and then add it to the whole number.
Answer:
Yes
Step-by-step explanation:
Any mixed number that you have, is really the whole number and a set amount of fractions behind it.
If you have 3 [tex]\frac{6}{9}[/tex], then you can change that to 3.6666.... If you have 1 [tex]\frac{1}{2}[/tex], then you can change that to 1.5.
Hope that this helps!
Solve the equation for x.
Answer:
2x+5=4x+1
5=2x+1
4=3x
x=1.3333333 or 1 1/3
Step-by-step explanation:
Mila and samuel had an equal amount of money for shopping. Mila spent $42 and Samuel spent $36. After that, Mila had 1/2 of what Samuel has left. How much money Milla had initially?
Answer:
Mila had $48 initially
Step-by-step explanation:
Let the amount of money they had be x
Mila spent $42; what is left would be x-42
Samuel spent $36: what is left would be x-36
So, what Mila had left is half of what Samuel has; that would be;
x-42 = 1/2(x-36)
2(x-42) = x -36
2x-84 = x -36
2x - x = 84 -36
x = $48
a pair of shoes cost
$74.99 and tax is
9%. What is the
total cost of the shoes?
Answer:
i believe the answer is $81.74
Step-by-step explanation:
74.99*9%
= 6.7491
74.99+6.7491
=81.7391
=$81.74
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
(9x+4) what is the answer hurry taking a test
Answer:
9x+4
Step-by-step explanation:
remove the parentheses