Answer:
B. 86.3%
Step-by-step explanation:
The correct answer is C. 88.7%.
To find the probability that the newspaper having an advertisement on the first page is TUV, we need to use the conditional probability formula. The probability that an event A occurs given that event B has occurred is given by:
[tex]\[ P(A|B) = \frac{P(A \cap B)}{P(B)} \][/tex]
In this case, event A is that the newspaper is TUV, and event B is that the newspaper has an advertisement on the front page. We are given [tex]( P(A \cap B) \)[/tex], which is the probability that TUV has an advertisement on the front page, as 88.7%. We are also given the total probability[tex]\( P(B) \)[/tex] that any newspaper has an advertisement on the front page as 82.4%.
Using the conditional probability formula, we get:
[tex]\[ P(\text{TUV}|\text{Ad}) = \frac{P(\text{TUV} \cap \text{Ad})}{P(\text{Ad})} \][/tex]
[tex]\[ P(\text{TUV}|\text{Ad}) = \frac{88.7\%}{82.4\%} \][/tex]
Now, we calculate this probability:
[tex]\[ P(\text{TUV}|\text{Ad}) = \frac{88.7}{100} \times \frac{100}{82.4} \][/tex]
[tex]\[ P(\text{TUV}|\text{Ad}) = \frac{88.7}{82.4} \][/tex]
[tex]\[ P(\text{TUV}|\text{Ad}) \approx 1.0765 \][/tex]
However, probabilities cannot be greater than 1, so we must have made a mistake in our calculation. The correct approach is to realize that the total probability of 82.4% already includes the probability of TUV having an advertisement. Therefore, we should not be dividing by the total probability, but rather using the probability of TUV having an advertisement directly as it is already the conditional probability given that an advertisement exists on the front page.
Solving an Equation with Absolute value |x-3|=5 . Equation 1:
Answer:8
Step-by-step explanation: add 3 on both sides to cancel it from the left, and then x=8.
Ayodele received a raise in her hourly pay, from $24.50 to $25.48. Find the percent change.
Answer:
4%
Step-by-step explanation:
The raise in her hourly pay is
$25.48-$24.50 =$0.98
Cross multiplying (rule of three)
24.50------100%
0.98--------x%
and so, x= 0.98*100/24.5 = 4%
Answer: The required percent change is 4%.
Step-by-step explanation: Given that Ayodele received a raise in her hourly pay, from $24.50 to $25.48.
We are to find the percent change.
The percent change is given by
[tex]p=\dfrac{\textup{increse in the amount}}{\textup{original amount}}\times100\%.[/tex]
In the given situation, we have
[tex]\textup{increase in the amount}=\$(25.48-24.50)=\$0.98.[/tex]
Therefore, the percent change is given by
[tex]p=\dfrac{0.98}{24.50}\times100\%=\dfrac{98}{24.50}\%=4\%.[/tex]
Thus, the required percent change is 4%.
Compare the expressions using <, >, or =. Show all your work.
(18 – 3) ÷ (6 - 1) _____ 4 • (10 – 3) – 4 • 2
Answer:
The answer would be <
Step-by-step explanation:
(18-3)÷(6-1)
18-3=15
6-1=5
15÷5=3
________
4×(10-3)-4×2
10-3=7
4×7-4×2
28-8=20
What numbers can you times to make24
Answer:
6 and 4
2 and 12
1 and 24
3 and 8
Step-by-step explanation:
Answer:
1, 2, 3, 4, 6, 8, 12, 24.
Step-by-step explanation:
The question is basically saying "what are the factors of 24?"
What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (−2, 4)? y = – Five-halvesx – 1 y = – Five-halvesx + 5 y = Two-fifthsx – 1 y = Two-fifthsx + 5
Answer:
[tex]y= \frac{-5}{2}x-1[/tex]
Step-by-step explanation:
the line equation is 5x + 2y = 12
Solve for y to find out slope m
y=mx+b
[tex]5x + 2y = 12[/tex]
Subtract 5x from both sides
[tex]2y =-5x+12[/tex]
Divide both sides by 2
[tex]y=\frac{-5}{2} x+6[/tex]
slope = -5/2
Slope of parallel lines are same . So slope of parallel line is [tex]\frac{-5}{2}[/tex]
m=-5/2 , point (-2,4)
[tex]y-y_1= m(x-x_1)[/tex]
[tex]y-4= \frac{-5}{2}(x+2)[/tex]
[tex]y-4= \frac{-5}{2}x-5[/tex]
Add 4 on both sides
[tex]y= \frac{-5}{2}x-1[/tex]
Answer:
Answer is A
Step-by-step explanation:
Trust the process
Help please !!!!!!!!!!!!!!!!
Answer:
(12,10)
Step-by-step explanation:
(please answer fast)
can someone write and solve a word problem, while using two key word's for either addition, subtraction, multiplication, or division? thank you.
Answer:
subtraction= Mike is selling 50 apples. Kenny is selling 30 apples,"how many more" apples does mike have than ken?
50- 30 = 20
mike has 20 "more" apples than ken.
there are 15 kindergarteners, "but only" 10 chairs, "how many" chairs would the teachers have to "take away" from the room next door?
15- 10=5
Look at this diagram:
Which diagram shows AABC rotated 120° counterclockwise about B?
Answer:
second one diagram rotated 120
In a 120° counterclockwise rotation about point B, diagram AABC would shift each point along a circular path 120° in a counterclockwise direction around point B. The positions of points A and C would change, while point B would stay as it is. The correct diagram would reflect these changes.
Explanation:Without a specific diagram to refer to, I can provide only a general explanation of how to determine the diagram that represents AABC rotated 120° counterclockwise about point B.
Rotations in a plane are performed counterclockwise with a positive degree measure. So, a 120° counterclockwise rotation about a fixed point B would take every point on triangle AABC and shift it along a circular path 120° in a counterclockwise direction around point B. The result would be a new triangle A'B'C'. If point B is the origin of rotation, it would remain unchanged. However, points A and C would change their positions after the rotation.
To determine the correct diagram, you would look for a triangle that has been shifted around point B in a counterclockwise direction with positions of points A and C reflecting a 120° rotation.
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10. The values of x and y vary directly, and
when x = 48, y = 36. Find the value of x when
y = 18.
Answer:the answer is 24
Step-by-step explanation:
Because when 18 is the half of 36 so 24 is the half of 48
Given x and y vary directly with constant ratio 1.33, the value of x when y equals 18 is 23.94.
Explanation:The subject question deals with direct variation, a concept in Mathematics. When two variables vary directly, a change in one variable results in a proportionate change in the other variable. If x and y vary directly, it means the ratio of x to y is constant.
From the problem, x = 48 when y = 36. Therefore, the ratio of x to y is 48/36 = 1.33.
To find the value of x when y = 18, simply multiply the constant ratio (1.33) by the new value of y.
So, x = 1.33 * 18 = 23.94
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The manager at a pizza restaurant keeps track of the number of large pizzas and small pizzas sold each day and the total money received. On Monday, a total of 63 pizzas were sold, and the money collected was $989. If large pizzas are sold for $18 and small pizzas are sold for $13, how many large pizzas and small pizzas were sold?
34x18 = 612
29x13=377
377+612 = 989
34 large 29 small
The number of large pizza is 34 and the number of small pizza is 29.
How to find the number of small and large pizza in the problem given ?It is given that a total of 63 pizzas were sold.
Also, the money collected was $989.
Moreover, large pizzas are sold for $18 and small pizzas are sold for $13.
Let the number of large pizzas be x and the number of smaller pizzas be y.
From the problem statement , x + y = 63.
The total cost for large pizza is $18x and the total cost for small pizza is $13y . Now this sum is the total money collected.
∴ 18x + 13y = 989.
We have two equations ,
x + y = 63 and 18x + 13y = 989.
Substituting the value of x from first and putting it to second,
⇒ 1134 - 18y + 13y = 989.
⇒ -5y = -145
∴ y = 29 .
Putting value of y in the first equation, we have x = 34.
Therefore the number of large pizza is 34 and the number of small pizza is 29.
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What is the inverse of the function below?
F(x)=3^x
A.
B.
C.
D.
Answer:
[tex]Log_{(3)}X[/tex]
Step-by-step explanation:
[tex]f(x)=3^{X}[/tex]
[tex]y=3^{X}[/tex]
exchange the variables x and y
[tex]X=3^{y}[/tex]
[tex]Log_{(3)}X=Log_{(3)}3^{y}[/tex]
[tex]Log_{(3)}X=y[/tex]
[tex]f^{-1}(x)=Log_{(3)}X[/tex]
f (x) = (2x – 5) ^2 then evaluate f (-4)
Hello ;w;
-------------------------------------------------------------------
f=
x=(2x - 5)^2
f=
-4 = -4
I believe your answer is -4, sorry if I'm wrong, have a great day.❤
hugo made 100 ounces of lemonade.How many 8 ounce glasses can he fill completely with this amount of lemonade
Answer:
12
Step-by-step explanation:
divide 100 by 8
Based on the graph, what was the average speed, in miles per minute, of the train during the interval of 30 to 40 minutes?
Answer: 35 miles
Step-by-step explanation:
Answer:
Step-by-step explanation:
60
What is the area of a rectangle with a base of 12 mm and a height of 1.4 mm? A. 13.4mm2 B. 16.8 mm2, C. 134 mm2, 168 mm 2
Answer:
D. 168 mm²Step-by-step explanation:
The formula of an area of a rectangle:
[tex]A=l\cdot w[/tex]
l - length (base)
w - width (height)
We have l = 12mm, h = 14mm.
Substitute:
[tex]A=(12)(14)=168\ (mm^2)[/tex]
6x4=8xN
how do i solve this equation
Answer:
n = 3
Step-by-step explanation:
find multiples of the product of 24 that comes from 6*4
A 21-foot rope is cut into 2 pieces. Seven less than three times the length of the longer rope piece x is five times the length of the shorter piece, which is (21 − x) ft. Find the length of the longer rope piece x In ft
Answer:
The length of the longer rope piece is 14 ft
Step-by-step explanation:
Let
x -----> the longer piece
y ----> the shorter piece
we know that
The sum of the longer piece plus the shorter piece must be equal to the length of the original piece
x+y=21
y=(21-x) -----> equation A
3x-7=5y ----> equation B
substitute equation A in equation B and solve for x
[tex]3x-7=5(21-x)\\3x-7=105-5x\\5x+3x=105+7\\8x=112\\x=14\ ft[/tex]
therefore
The length of the longer rope piece is 14 ft
A classmate plotted the following points:
A(-3, 2), B(-1, 4), and C(1, 2).
Where should the classmate plot point
D so that the quadrilateral formed has
perpendicular sides?
Answer:
D(-1,0)
Step-by-step explanation:
Plot points A(-3, 2), B(-1, 4), and C(1, 2) on the coordinate plane (see attached diagram).
Two sides AB and BC are of equal length and are perpendicular, because
[tex]AB=\sqrt{(-3-(-1))^2+(2-4)^2}=\sart{(-2)^2+(-2)^2}=\sqrt{4+4}=2\sqrt{2}\ units\\ \\BC=\sqrt{(-1-1)^2+(4-2)^2}=\sart{(-2)^2+2^2}=\sqrt{4+4}=2\sqrt{2}\ units\\ \\\text{Slope AB}=\dfrac{4-2}{-1-(-3)}=\dfrac{2}{2}=1\\ \\\text{Slope BC}=\dfrac{2-4}{1-(-1)}=\dfrac{-2}{2}=-1\\ \\\text{Slope AB}\cdot \text{Slope BC}=1\cdot (-1)=-1\Rightarrow \text{lines AB and BC are perpendicular}[/tex]
If the quadrilateral ABCD has all sides perpendicular, then ABCD is a square. The diagonals of the square bisects each other. Find the coordinates of the point of intersection of these diagonals. This is the midpoint of segment AC:
[tex]x=\dfrac{-3+1}{2}=-1\\ \\y=\dfrac{2+2}{2}=2[/tex]
If point O(-1,2) is the point of intersection of diagonals, then it is the midpoint of the diagonal BD. Find coordinates of point D:
[tex]x_O=\dfrac{x_B+x_D}{2}\Rightarrow -1=\dfrac{-1+x_D}{2},\ -1+x_D=-2,\ x_D=-1\\ \\y_O=\dfrac{y_B+y_D}{2}\Rightarrow 2=\dfrac{4+y_D}{2}, 4+y_D=4,\ y_D=0[/tex]
Thus, D(-1,0)
Umar has 5 dimes in his right pocket and three dimes in his left pocket how much money does Omar have? What is the hidden question?
Answer:
he has 80 cents
Step-by-step explanation:
dime=10 cents
I'm guessing that the hidden question is how many dimes does Omar have? because this is the first thing I asked myself when solving this equation.
So how many dimes does Omar have?
5 + 3 = 8
Now we know that one dime = 10 cents, so to find the amount of money in cents, all we need to do is multiply 8 * 10
8 * 10 = 80
Omar has 80 cents
Help please D: If you answer I will give you brainliest
Step-by-step explanation:
Write the population of florida in expanded form using exponents
floride population = 18,801,310
Expanded form ;
1x10^{7} + 8x10^{6} + 8x10^{5} + 0x10^{4} + 1x10^{3} + 3x10^{2} + 1x10^{1} + 0x10^{0}
What is the value of (g o f)(-6)
F(x)=2x+7; g(x)=3x+12
Answer:
(g o f)(-6) = -3
Step-by-step explanation:
f(x)=2x+7; g(x)=3x+12
(g o f)(-6) = g(f(-6))
but f(-5) = 2(-6)+7 = -5
(g o f)(-6) = g(f(-6)) = g(-5) = 3(-5)+12 = - 3
Solve the equation for x.
6(4x − 10) = 84
A) 2
B) 3
C) 4
D) 6
Hey!
----------------------------------------
Solution:
6(4x - 10) = 84
24x - 60 = 84
24x + (-60) = 84
24x + (-60) + 60 = 84 + 60
24x = 144
24x/24 = 144/24
x = 6
----------------------------------------
Answer:
x = 6
----------------------------------------
Hope This Helped! Good Luck!
The solution of expression is,
⇒ x = 6
We have to given that;
Expression is,
⇒ 6(4x − 10) = 84
Now, We can simplify as;
6(4x - 10) = 84
24x - 60 = 84
24x + (-60) = 84
24x - 60 + 60 = 84 + 60
24x = 144
24x/24 = 144/24
x = 6
Therefore, Solution is,
⇒ x = 6
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In 35 ÷ 7 = 5, what is the 35 called?
Answer: The dividend
Step-by-step explanation:
Answer: in that equation the 35 is called the dividend.
Step-by-step explanation: the 7 is the divisor and the 5 is the quotient
Thirty-six is at least one half of a number.
find the product 3(x + 4 )( x - 5)
Answer:
[tex]3x^2-3x-60[/tex]
Step-by-step explanation:
Given: [tex]3(x+4)(x-5)[/tex]
Let's use the distributive property to multiply [tex](x+4)(x-5)[/tex] together since they are right next to each other. We can use the FOIL method.
[tex](x+4)(x-5)\\x^2-5x+4x-20\\x^2-x-20[/tex]
Now that we simplified that, we still have to multiply everything by the value of [tex]3.[/tex]
[tex]3(x^2-x-20)\\3x^2-3x-60[/tex]
Now, you could have left the answer as [tex]3(x^2-x-20)[/tex] since it is factored, but the problem wants us to find the product, so we need to completely simplify.
Please help! Solving polynomial equations with factoring *algebra*
hi i need help plz it is 7/3 add 1/3. plz plz help
Answer: 8/3
Step-by-step explanation: To add like fractions, or fractions that have the same denominator, simply add the numerators and keep the original denominator.
7 + 1 = 88/3 is the answer.How many 2/3-cup servings are in 6 cups of cereal?
Answer: 9
Step-by-step explanation:
6 divided by 2/3 = 9
In 6 cups of cereal, there are 9 servings of 2/3 cup.
Explanation:To find out how many 2/3-cup servings are in 6 cups of cereal, we need to divide the total cups of cereal by the size of each serving. In this case, we divide 6 by 2/3. To divide a whole number by a fraction, we can multiply the whole number by the reciprocal of the fraction. The reciprocal of 2/3 is 3/2, so we have 6×3/2 = 9 cups in total. Therefore, there are 9 servings of 2/3 cup in 6 cups of cereal.
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NS SECTION ONE
In the number 416.98, which digit has the greatest value
the 4 because it's in the hundred place value
I THINK THAT"S HOW YOU DO IT, BUT YOU KNOW JUST TRYING TO HELP YOU :)
If a number is not a whole number then it is not a natural number
Answer:
false
Step-by-step explanation:
a natural number is a number you count by, you wouldn't cound by decimals or fractions