Answer:
P(A and B) = 0.44
Step-by-step explanation:
Venn probabilities:
Suppose that we have two events, A and B. The probability of A and B is:
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]
In which [tex]P(A \cup B)[/tex] is P(A or B).
In this question:
[tex]P(A) = 0.53, P(B) = 0.39, P(A \cup B) = 0.48[/tex]
Then
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.53 + 0.39 - 0.48 = 0.44[/tex]
So
P(A and B) = 0.44
Solve the system of equations.
y= x + 3
y= x2 - 2x-1
Please help :)
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Answer:
C. (-1, 2) and (4, 7)
Step-by-step explanation:
It may be simplest just to try the answer choices.
We notice that y = x+3 is not satisfied by the points in choices A or D, so those can be eliminated.
__
The second equation can be written in vertex form as ...
y = (x -1)^2 -2
This equation is not satisfied by the points of choice B.
Using (-1, 4) (from choice B), we get 4 = (-1-1)^2 -2 = 4-2 = 2 . . . FALSE.
However it is a good match for the points of choice C.
Using (-1, 2) (from choice C), we get 2 = (-1-1)^2 -2 = 4 -2 = 2 . . . True
The appropriate choice is ...
(-1, 2) and (4, 7)
The amount that Gretchen charges for babysitting is proportional to the number of hours she babysits. She charges $18 to babysit for
1.5 hours
Which equation relates the amount Gretchen charges in dollars, c, and the amount of time in hours that she babysits, h?
Answer:
Gretchen charges $12 dollars per hour
Step-by-step explanation:
$18/1.5=$12
Pam flips a coin 12 times. The coin lands on heads 8 times. What is the theoretical
probability of landing on heads on the next flip?
Answer:
If a coin is tossed 12 times, the maximum probability of getting heads is 12. But, 12 coin tosses leads to 212 , i.e. 4096 number of possible sequences of heads & tails.
Step-by-step explanation:
Answer:
8/13
Step-by-step explanation:
Pam flips a coin 12 times. The coin lands on heads 8 times. What is the theoretical
probability of landing on heads on the next flip?
well it would be 8 and 13
Plz help me well mark brainliest if you are correct!
Miguel draws a square on a coordinate plane. One vertex is located at (5,4). The length of each side is 3 units. Circle the letter by all the ordered pairs that could be another vertex. A. (5,1) B. (5,7) C. (7,8) D. (2,6) E. (2,1)
I will give brainliest if you answer both questions!
Answer:
A, B, and E.
Step-by-step explanation:
We know that one vertex is at (5, 4), and each side of our square is 3 units long.
Then the distance between the known vertex and another vertex is 3 units (if those vertexes are connected by a side of the square) or (√2)*3 units (if those vertexes are connected by the diagonal of the square).
Also remember that the distance between two points (a, b) and (b, c) is:
distance = √( (a - c)^2 + (b - d)^2)
So we need to find the distance between our point and all the ones given in the options:
A) the distance between (5, 4) and (5, 1) is:
distance = √( (5 - 5)^2 + (4 - 1)^2) = 3
Then point (5, 1) can be a vertex.
B) The distance between (5, 4) and (5, 7) is:
distance = √( (5 - 5)^2 + (4 - 7)^2) = 3
Then (5, 7) can be a vertex.
C) The distance between (5, 4) and (7, 8) is:
distance = √( (5 - 7)^2 + (4 - 8)^2) = √( 2^2 + 4^2) = √20
Point (7, 8) can not be a vertex.
D) The distance between (5, 4) and (2, 6) is:
distance = √( (5 - 2)^2 + (4 - 6)^2) = √( 3^2 + 2^2) = √13
Point (2, 6) can not be a vertex.
E) The distance between (5, 4) and (2, 1) is:
distance = √( (5 - 2)^2 + (4 - 1)^2) = √( 3^2 + 3^2) = √18 = √(2*9) = √2*√9 = √2*3
Then point (2, 1) can be a vertex.
Jennys room is 13 feet long and 12 feet wide, Ruth's room is 14 feet long and 11 feet wide, whose room has the greater area?
Answer:
Jenny's room
Step-by-step explanation:
13x12 = 156 and 14x11 = 154
Therefore Jenny's room is bigger.
I am a two digit number above 50. the sum of my digits is twelve and the difference of my digits is 4. who am I?
Answer:
The answer should be 84
Step-by-step explanation:
12 - 4 = 8
8 + 4 = 12
8 - 4 = 4
Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
Of 10 test scores, eight are less than or equal to 82. What is the percentile rank of a test score of 82?
Answer:
80%
Step-by-step explanation:
Percentile rank = (number of scores lower or equal to 82 / total number of scores) * 100%
Percentile = (8 / 10) * 100%
= 0.8 * 100%
= 80%
Which angle had a positive measure?
Answer:
the second angle
sorry if wrong
Step-by-step explanation:
Answer please and explain
i need solution to these two questions please
Answer:
Step-by-step explanation:
4). Given functions are,
[tex]f(x)=\frac{1}{3x}[/tex]
For [tex]x=\frac{1}{12}[/tex]
[tex]f(\frac{1}{12})=\frac{1}{3(\frac{1}{12})}[/tex]
[tex]=\frac{1}{\frac{1}{4}}[/tex]
[tex]=1\times\frac{4}{1}[/tex]
[tex]=4[/tex]
[tex]g(x)=\frac{1}{x^2}[/tex]
For [tex]x=\frac{1}{5}[/tex],
[tex]g(\frac{1}{5})=\frac{1}{(\frac{1}{5})^2}[/tex]
[tex]=\frac{1}{\frac{1}{25}}[/tex]
[tex]=25[/tex]
[tex]f(\frac{1}{12})-g(\frac{1}{5})=4-25[/tex]
[tex]=-21[/tex]
5). f(x) = -2x² + 3x - 8
f(k + 4) = -2(k + 4)² + 3(k + 4) - 8
= -2(k² + 8k + 16) + 3(k + 4) - 8
= -2k² - 16k - 32 + 3k + 12 - 8
= -2k² - 13k - 28
Pls HELP WITH THESE TWO QUESTIONS NO LINKS
Answer:
The answer to the first question is B.
The answer to the second question is C.
Answer:
3: B or 1/4
4: C or 15%
Step-by-step explanation:
3: There are 8 letters in Geometry and 2 E's in the word so it would be 2/8, but then you would simplify it and you will get 1/4.
4: 0.85 in a percentage is 85%. So 85% that WILL rain.
100 - 85 = 15, thus there is a 15% probability it will NOT rain.
Hope that helps :)
helloooo help plsssssss
Answer:
84 m²
Step-by-step explanation:
A= h(a+b)/2 = 7(8+16)/2 = 84
I need help on ( NUMBER 10 )!!
Answer:
Box 1 = -2 and Box 2=+1.......
Answer:
-2.5 if you have to write as a decimal and not a fraction.
We should calculate the length of the two balls together, which isn't their diameter. The radius diameters are 24cm and 22cm
13) 7x - 4x
A) 2 - 3x
B) -X
C) 8x
D) 3x
factorise d^2+14d+40
Factorise:- d² + 14d + 40
Solution:-d² + 14d + 40[tex] \rightarrow [/tex] d² + 10d + 4d + 40 = 0
[tex] \rightarrow [/tex] d(d + 10) + 4(d + 10) = 0
[tex] \rightarrow [/tex] (d + 10)(d + 4) = 0
[tex] \therefore [/tex] Either, d + 10 = 0 => d = -10 and d + 4 = 0 => d = -4
So, d = -10 and -4 [Answer]Who jointly built the International Space Station?
A
NASA, Roscosmos, JAXA, ESA, and CSA
B.
NASA, ESA, and JAXA
C.
ESA, CSA, and Roscosyjs
D.
CSA. NASA. ESA, and Roscosmos
Step-by-step explanation:
This assembly required more than 40 missions. A partnership between European countries (represented by ESA), the United States (NASA), Japan (JAXA), Canada (CSA) and Russia (Roscosmos), the International Space Station is the world's largest international cooperative programme in science and technology.
Answer:
the answer is option D csa nasa esa and roscosmos
Sharon buys fabric that costs $6 per yard. She wants to find the number of yards of fabric she can buy for $20. She finds the answer using the problem. 3 r2 6 120 -18 2 Sharon can buy 3 yards of fabric. What does the remainder mean? A. She will have $2 left over. B. She can buy 2 more yards of fabric. O C. She will have 2 yards of fabric left over. D. She needs $2 more to buy another yard of fabric.
Answer:
A. She will have $2 left over
Step-by-step explanation:
I know this because 3 yards of fabric cost $18 dollars so there would be $2 left
A woman standing on a hill sees a flagpole that she knows is 55 ft tall. The angle of depression to the bottom of the pole is 14°, and the angle of elevation to the top of the pole is 18°. Find her distance x from the pole. (Round your answer to one decimal place.)
Answer:
Round to one decimal place: x=78.4ft
Step-by-step explanation:
I searched it up : )
Write an algebraic expression for the situation.
28 divided by a number g
Answer:
28÷g
Step-by-step explanation:
simple division between g and 28
A simple random sample of electronic components wil be selected to test for the mean lifetime in hours. Assume that component lifetimes are normally distributed with population standard deviation of 16 hours. How many components must be sampled so that a 99% confidence interval will have margin of error of 3 hours
Answer:
189 components must be sampled.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
Assume that component lifetimes are normally distributed with population standard deviation of 16 hours.
This means that [tex]\sigma = 16[/tex]
How many components must be sampled so that a 99% confidence interval will have margin of error of 3 hours?
n components must be sampled.
n is found when M = 3. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]3 = 2.575\frac{16}{\sqrt{n}}[/tex]
[tex]3\sqrt{n} = 2.575*16[/tex]
[tex]\sqrt{n} = \frac{2.575*16}{3}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*16}{3})^2[/tex]
[tex]n = 188.6[/tex]
Rounding up:
189 components must be sampled.
Evaluate ab-c, if a = 7,b = 8, and c = 12
Answer:
44
Step-by-step explanation:
axb=56
56-c=44
the object is a square with an equilateral triangle inside of it one side of the square is also a side of the triangle
Answer: B
Not 100% sure but my best guess is B.
Answer:
b
Step-by-step explanation:
3/4 + (1/3 • 1/6) - ( - 1/2) = ?
A) 3 1/4
B) 2 1/4
C) 1 3/4
D) 3/4
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Answer:
A) 3 1/4
Step-by-step explanation:
Your calculator can help with this.
__
3/4 + ((1/3)/(1/6)) -(-1/2)
= 3/4 + ((2/6)/(1/6)) + 2/4
= 5/4 + 2/1
= 3 1/4
Q) 3/4 + {(1/3) ÷ (1/6)} - ( - 1/2) = ?
→ 3/4 + {(1/3) ÷ (1/6)} - ( - 1/2)
→ 3/4 + {(1/3) × (6/1)} - ( - 1/2)
→ 3/4 + 6/3 - ( - 1/2)
→ {(3/4) + (6/3)} + 1/2
→ 11/4 + 1/2
→ (11 + 2)/4 = 13/4
→ 3 1/4
Hence, option (A) is the answer.
what will come in the following series 20 25 23 28 26 31 29 34 _? answer is 31. please explain how?? urgent pls
The series of numbers is adding 5 and then subtracting 2
20+5=25
25-2=23
23+5=28
28-2=26
and so on. Do you understand?
Jason Is vacationing on the beach and wants to rent an ATV. The table below shows the cost of renting an ATV Including the helmet. What would be the cost of the helmet?
A. $15
B. $20
C. $25
D. $30
Help please i have no idea where to even start???
Answer:
Actually, all of them!
Hope that helps! :)
-Aphrodite
Step-by-step explanation:
Evluate 9-b when b = 8
Answer:
[tex]9 - b \\ when \: b \: is \: 8 \\ = > 9 - 8 \\ = 1[/tex]
Answer:
The answer is 1
Step-by-step explanation:
9 - b when b = 8
9 - 8 = 1
Thus, The answer is 1
-TheUnknownScientist
-7x+2y =18 in slope intercept
and 6x+6y =0
Answer:
y=3.5x+9
and
y=x