Answer:
[tex] P(A)= 0.48, P(B)= ?, P(A \cap B)= 0.21, P(A \cup B) =0.89[/tex]
And for this case we can use the total rule of probability given by:
[tex] P(A \cup B) = P(A) +P(B) -P(A\cap B)[/tex]
And if we solve for [tex] P(B) [/tex] we got:
[tex] P(B)= P(A \cup B) -P(A) +P(A \cap B)[/tex]
And replacing we got:
[tex] P(B) = 0.89 -0.48 +0.21= 0.62[/tex]
Step-by-step explanation:
We have the following probabilities given:
[tex] P(A)= 0.48, P(B)= ?, P(A \cap B)= 0.21, P(A \cup B) =0.89[/tex]
And for this case we can use the total rule of probability given by:
[tex] P(A \cup B) = P(A) +P(B) -P(A\cap B)[/tex]
And if we solve for [tex] P(B) [/tex] we got:
[tex] P(B)= P(A \cup B) -P(A) +P(A \cap B)[/tex]
And replacing we got:
[tex] P(B) = 0.89 -0.48 +0.21= 0.62[/tex]
Answer:
0.62
Step-by-step explanation:
What is 3a + 7b x 14c - 4b ?
━━━━━━━☆☆━━━━━━━
▹ Answer
2(7c - 2b)
▹ Step-by-Step Explanation
3a + 7b * 14c - 4b
14c - 4b → 2(7c - 2b)
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
2(7c - 2b)
Step-by-step explanation:
3a + 7b x 14c - 4b
3a + 3b x 14c
14c - 4b = 2(7c - 2b)
Drag each tile to the correct location on the algebraic problem. Not all tiles will be used. Fill in the missing steps and justifications used to solve the given equation.
RIGHT SIDE
3: Simplification
4: Subtraction property of equality
LEFT SIDE
4: 6x -7 + 7 = 12 + 7
7: x=19/6
Hope this helped!
<!> Brainliest is appreciated! <!>
Simplification
[tex]6x-7+7=12+7[/tex], addition property of equality
[tex]x =\frac{19}{6}[/tex]
According to the given question.
We have a equation
[tex]4x-7=-2x+12[/tex]
The following steps which are required to solve the above equation are
Step 1:
[tex]4x - 7 = -2x + 12[/tex] (given)
Step 2:
[tex]4x - 7+ 2x = -2x + 12 + 2x[/tex] (addition property of equality)
Step 3:
[tex]4x - 7 + 2x = -2x +12+2x\\\implies 6x-7 = 12[/tex] (simplification)
Step 4:
[tex]6x -7 + 7 = 12 +7[/tex] (addition property of equality)
Step 5:
[tex]\implies 6x = 19[/tex] (simplification)
Step 6:
[tex]\frac{6x}{6} =\frac{19}{6}[/tex] ( division property of equality)
Step 7:
[tex]x = \frac{19}{6}[/tex] (simplification)
Hence, the value of x in [tex]4x-7 = -2x + 12[/tex] is [tex]\frac{19}{6}[/tex].
Find out more information about addition, subtraction, and division property of equality here:
https://brainly.com/question/13130806
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Problemas de algoritmo a, um buso se encuentra a 12m bajo el nivel del mar ,si sube 3 m ,cual sera su nueva posicion ,rrepresenta numeros enteros,positivo y negativo
Answer:
9 metros bajo el nivel del mar
Step-by-step explanation:
Aquí, tenemos un autobús que está a 12 metros bajo el nivel del mar.
Ahora, el autobús ganó algo de altura y subió 3 metros hacia arriba Debemos entender que el autobús todavía está bajo el nivel del mar pero a un nivel más alto en relación con el fondo del mar.
Por lo tanto, la altura del autobús sería + 3 + (-12) = 3-12 = -9 Esto muestra que el autobús todavía está a 9 metros bajo el nivel del mar.
-X2 - 2x - 2 over
X-2 ?
What is the graph of the function f(x) =
Answer:
Hope this helps!
Step-by-step explanation:
A movie theater has a seating capacity of 153. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 1100, How many children, students, and adults attended? Children Attended= ? Students Attended= ? Adults Attended=? PLEASE ANSWER ASAP
Answer:
x (children) = 58
y (students) = 66
z (adults) = 29
Step-by-step explanation:
Step 1: Write system of equations
x + y + z = 153
5x + 7y + 12z = 1100
1/2x = z
The best way to solve the systems of equations is to use an augmented matrix:
Top row: [1 1 1 | 153]
Middle row: [5 7 12 | 1100]
Bottom row: [1/2 0 -1 | 0]
And then put it in RREF form:
Top row: [1 0 0 | 58]
Middle row: [0 1 0 | 66]
Bottom row: [0 0 1 | 29]
A line has____rotational symmetry,
Answer:
two-fold
Step-by-step explanation:
you can rotate it one other way for it to look the exact same, meaning there are a total of 2 ways to rotate it
Answer:
A line has two-fold rotational symmetry; A
Step-by-step explanation:
One fold when it is turned 180°
And another fold when it is turned 360°
Hope that helps!!
Choose the correct equation type for each system.
Answer:
first one
Step-by-step explanation:
Please help me I need help
If the diameter of a circle is doubled, the circumference of the new circle is..
A. 1/4 of the circumference of the original circle
B. 1/2 of the circumference of the original circle
C. The same as the circumference as the original circle
D. 2 times the circumference of the original circle
E. 4 times the circumference of the original circle
Answer:
D
Step-by-step explanation:
Let's call the original diameter x. Then, the circumference would be xπ. If the diameter is 2x, the circumference is 2xπ. 2xπ / xπ = 2 so the answer is D.
Answer:
D. 2 times the circumference of the original circle
Step-by-step explanation:
The circumference of a circle is represented by the formula C = 2(r)pi (where is r is the radius), which can also be written as C = (d)pi, where d is the diameter, (since 2r is equivalent to d). If the diameter is doubled, the original equation can be rewritten as C = 2(d)pi. Therefore, the circumference of the new circle is double the original circle.
You can plug in a sample number to further prove this point. Pretend r = 3 so d = 6. C = 6pi. Now when the diameter is doubled, d = 12 and C = 12pi which is double 6pi.
So the answer is D. 2 times the circumference of the original circle
What is the product of (2p + 7)(3p2 + 4p – 3)?
Answer:
The product of the polynomials is 6p³ + 29p² + 22p - 21
Step-by-step explanation:
(2p + 7)(3p² + 4p - 3)
Use the foil method to multiply.
6p³ + 8p² - 6p + 21p² + 28p - 21
Combine like terms. Make sure you put the equation in standard form. This means that the exponential numbers will be ordered in descending form.
6p³ + 29p² + 22p - 21
Find the height of the cylinder with the volume of 271.4 and a cylinder radius of 6. Round to nearest tenth PLEASE HELP!
Answer:
2.4.
Step-by-step explanation:
the formula of the volume of a cylinder is ; πr²h.
so, we will have to substitute with the formula.
3.14 × 6 × 6 × h = 271.4
113.04h = 271.4
divide both sides by the number next to the unknown, which is 113.04.
you will get 2.4009200........
when u round off to the nearest tenths, you will get 2.4.
At the Souvenir Shop, gemstone souvenirs cost $11.60 for 5. Which proportion can be used to find the cost of just 1 gemstone?
Answer:
see below
Step-by-step explanation:
$11.60 for $5
1. Find the rate.
$11.60 divided by $5= $2.32
2. 1 gemstone= $2.32
Your anwser should be 1 over $2.32 or $2.32 over 1 depending on how you want it.
Answer:
D) x/11.60= 1/5
Step-by-step explanation:
Please answer this question now in two minutes
Answer:
y = -4x
Step-by-step explanation:
Since it gives you that m = -4 and that the y-intercept is at (0, 0), we simply plug it into y = mx + b
y = -4x + 0
y = -4x
What are the properties of the point (2, 0) in this graphed function? {graph pictured below} A. It is a relative maximum and a y-intercept. B. It is a relative maximum and an x-intercept. C. It is a relative minimum and a y-intercept. D. It is a relative minimum and an x-intercept.
Answer:
It is a relative minimum and an x-intercept.
The following data points represent how many houses Gregg the Garbage Man visited each day last week.
12,28,33,37,23,14,9
use the data,and create a histogram
Answer:
Here we want to create a histogram of:
Number of houses Vs day.
First you need to create a rectangular coordinate axis.
In the x-axis you will divide the days as:
day 1, day2, day3 etc
in the y-axis you will measure the number of houses visited.
then, for the first day our height will be 12 units
for the second day, our height will be 28 units...
and so on.
Remember that for histograms you need to use columns.
Then, our histogram will look like:
Using the segment addition postulate, which is true? A number line going from negative 9 to positive 9. A closed circle appears at negative 6 and is labeled A. A closed circle appears at negative 1 and is labeled B. A closed circle appears at positive 2 and is labeled C. A closed circle appears at positive 8 and is labeled D.
Answer:
The answer is given below
Step-by-step explanation:
The addition postulate for line segment states that if we have points A, C and a point B on line AC, The distance between points A and C can be given as:
AC = AB + BC
Point A is at -6, point B is at -1, point C is at +2 and point D is at point 8.
Therefore using line segment postulates:
AD = AB + BC + CD
But AB = -1 - (-6)= -1 + 6 = 5
BC = 2- (-1) = 2 +1 = 3
CD = 8 - (+2) = 8 - 2 = 6
Also AD = 8 - (-6) = 8 + 6 = 14
To prove AD = AB + BC + CD
AD = 5 + 3 + 6 = 14
Someone help me plz
Answer: x = 3
Step-by-step explanation:
The area of a triangle is 1/2bh. Thus, the area of the triangle is 30. The area of a rectangle is lw. Thus it is 10x here. Thus, 10x = 30 and x = 3.
Hope it helps <3
Answer:
x = 3
Step-by-step explanation:
To find the area the area of a triangle is 1/2 b×h
that will be 1/2× 5×12 = 30
since the area of the triangle is equal to the area of the rectangle, and the area of a rectangle is l×b so l= x ; b= 10 so x × 10 = 30
= 10x= 30 divide both sides by 10 = 3
so x = 3
Which expression is equivalent to
(4^5/4.4^1/4/4^1/2
Answer:
Which expression is equivalent to ((4^((5)/(4)).4^((1)/(4)))/(4^((1)/(2))))^((1)/(2))?
The following are the temperatures of 10 days in winter in °C. 8, 3, -1, 6, 0, 5, 2, 9, -2, 0 Work out the mean temperature
Answer:
The mean temperature is O
Step-by-step explanation:
A music store sells only CDs. The manager buys the CDs for $8.00 each and sells them for $15.00 each. The monthly operating expenses total $10,000. How many CDs must the store sell each month to break even and start making profits?
Answer:
1,429
Step-by-step explanation:
You have 7 dollars profit for each CD sold. 10,000 divided by 7 is 1,428 so you must have atleast one more than that to have profit (although it would be very small)
Roger’s father knows that Dial It Up sells data plans at $16 for 2 gigabytes and Ring Ring sells data plans at $9 for 1 gigabyte. Use this information to calculate the ratio of the number of gigabytes to the price in dollars for Dial It Up and Ring Ring.
Answer:
From Dial it, we have plans of $16 per 2 gb.
then the ratio is (number of gb you get):price
in this case:
2:16 or we can reduce it to 1:8
this means that per each Gigabyte, you pay 8 dollars. 1:8
Ring Ring has plans of $9 per 1gb
then the ratio of gb to Dollars is 1:9
And the ratio between the prices of the companies is: 8 to 9 or 8:9
which means that in one company you get one thing for 8, while in the other company you get the same thing for 9.
Answer:
Dial it Up charges $32 for 4 gigabytes, and Ring Ring charges $36 for the same amount of data. The difference of the plan prices is $36 – $32 = $4.
Which number is a factor of 51?
factors of 51 are 1, 3, 17, 51
Answer:
1 × 51 = 51
3 × 17 = 51
_________
1, 51, 3, 17 are all factors of 51!
51 is composite.
What is the unit rate of each point (10,2.4) (15, 3.6) (17.5, 4.2)
Answer:
0.24
Step-by-step explanation:
Given the points (10,2.4) (15, 3.6) (17.5, 4.2)
The unit rate is the slope of the line joining any of the two points.
Using points (10,2.4) and (15, 3.6)
[tex]Slope, m=\dfrac{3.6-2.4}{15-10} \\=\dfrac{1.2}{5} \\\\=\dfrac{6}{25}[/tex]
=0.24
Using points (10,2.4) and (17.5, 4.2)
[tex]Slope, m=\dfrac{4.2-2.4}{17.5-10} \\=\dfrac{1.8}{7.5} \\\\=\dfrac{6}{25}\\=0.24[/tex]
Therefore, the unit rate for each point is 0.24
What is the domain of the function shown in the graph?
8
6+
4+
2+
N1
+21
-4
-6
-8
A. Ico
B.-00
C. I > -1
D. 1 3 - 1
Answer:
all the answers are wrong
Answer:
x ≥ -1
Step-by-step explanation:
The domain is the possible input values or x values for this graph
X can be from 0 to infinity
The best choice out of the ones listed is
x ≥ -1
A university would like to estimate the proportion of fans who purchase concessions at the first basketball game of the season. The basketball facility has a capacity of 3 comma 600 and is routinely sold out. It was discovered that a total of 210 fans out of a random sample of 500 purchased concessions during the game. Construct a 95% confidence interval to estimate the proportion of fans who purchased concessions during the game.
Answer:
Step-by-step explanation:
Confidence interval is written as
Sample proportion ± margin of error
Margin of error = z × √pq/n
Where
z represents the z score corresponding to the confidence level
p = sample proportion. It also means probability of success
q = probability of failure
q = 1 - p
p = x/n
Where
n represents the number of samples
x represents the number of success
From the information given,
n = 500
x = 210
p = 210/500 = 0.42
q = 1 - 0.42 = 0.58
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.025 = 0.975
The z score corresponding to the area on the z table is 1.96. Thus, the z score for a confidence level of 95% is 1.96
Therefore, the 95% confidence interval to estimate the proportion of fans who purchased concessions during the game is
0.42 ± 1.96√(0.42)(0.58)/500
= 0.42 ± 0.043
Which of the following is equivalent to 18 minus the square root of -25
Answer:
Undefined
Step-by-step explanation:
Since you said to find the square root of "-25" the answer is undefined because you cannot square root a negative number.
Answer:
18-5i
Step-by-step explanation:
I can't see the answer choices but all you have to do is simplify this equation.
18-√-25
What is the square root of -25?
Well first we make the -25 into 25 because we can't do anything with a negative.
So square root of 25 is 5
Now plug 5 into the equation
18-5
Then multiply i to 5 because we're not sure what the exact value of 18-√-25 is.
Hope this Helps!
A region is bounded by semicircular arcs constructed on the side of a square whose sides measure 2/\pi, as shown. What is the perimeter of this region?
Answer:
4
Step-by-step explanation:
The perimeter of the region is equal to the sum of the perimeter of the four semicircular arc. Since the semicircular arcs have the same measure, therefore:
Perimeter of region = 4 × Perimeter of semicircular arc.
The side of the square = diameter of the semicircle = 2/π.
The radius of semicircle = diameter/2 = [tex]\frac{2/\pi}{2} =\frac{1}{\pi}[/tex]
The perimeter of a semicircle = perimeter of a circle ÷ 2
[tex]Perimeter\ of \ semicircle = \frac{perimeter\ of\ circle}{2}=\frac{2\pi r}{2}=\frac{2\pi (\frac{1}{\pi} )}{2} =1\\ Perimeter\ of\ region = 4*Perimeter\ of \ semicircle=4*1=4\[/tex]
A survey asked people whether their pets are picky eaters. For these results,
are being a picky eater and being a dog independent or dependent events?
Justify your answer
Answer:
The probability for the dependent and the independent picky eater and not picky is similar in case of dependent variable and is different in case of independent variable.
Step-by-step explanation:
Independent variable is defined as the variables that are being manipulated, changed, or altered in a specific experiment or research in order to see its effect on the dependent variable.
The dependent variable is defined as the variable that is being measured or tested in a particular experiment or research by the investigator.
In the question above, as mentioned in the image or attachment, the probability of dog being picky or non-picky eater can be both dependent and independent in the different scenarios.
Let h(x) = 3x – 7. If h(x) = 0, find x.
[tex]h(x)=3x-7[/tex]
And we are given that [tex]h(x)=0[/tex] and want to find the value of x. Set h(x) to 0 and we get the equation:
[tex]3x-7=0[/tex]
Add both sides by 7
[tex]3x=7[/tex]
Divide both sides by 3
[tex]x=\dfrac{7}{3}[/tex]
This is the answer (as an improper fraction). Let me know if you need any clarifications, thanks!
[tex]\text{Plug in 0 to h(x) and solve:}\\\\0=3x-7\\\\\text{Add 7 to both sides}\\\\7=3x\\\\\text{Divide both sides by 3}\\\\\frac{7}{3}=x\\\\\boxed{\frac{7}{3}=x}[/tex]
Radium-226 was discovered by Marie-Curie in 1898.
The notebooks she used were contaminated with radium-226 and are still hazardous.
Explain why the notebooks are still hazardous. (2) *
Answer:
The notebooks are still hazardous because the Curies didn't use protective equipment (nor did they have it) and the close proximity of the radioactive isotopes allowed for spreading of radioactivity. Since Radium-226 was kept in bottles and drawers in the Curies' home, it was in close proximity to their items. This allowed for Radium-226 to radiate to other items. In turn, those items absorbed the radiation and become radioactive. Today, Marie Curie is buried under a lead-lined coffin and her belongings can be visited ONLY with protective gear and signing a liability form.
Step-by-step explanation:
What percent of discount should be given in a doll costing Rs 180
such that a customer can buy at Rs 160?
Answer:
11.11%
Step-by-step explanation:
So the question is:
$180 * (x)% = $y
Therefore $180 - $y = $160
Now:
180 - 160 = 20
Therefore; $20 is the discount
Now per cent of discount:
20/180 * 100 = 11.111111111111111111111%
therefore: per cent of discount is 11.11% (rounded to two decimal place)
Answer:
11.11 %
Step-by-step explanation:
Costing Price = Rs 180
Selling Price = Rs 160
Discount = C.P - S.P
=> 180-160
=> Rs 20
In %age:
=> [tex]\frac{20}{180} * 100[/tex]
=> 11.11 %