Answer:
1. P(N) = 3/5
2. P(R) = 2/5
3. P(N and R) = 1/4
4. P(N or R) = 3/4
Step-by-step explanation:
1. Let's review the information given to us to answer the problem correctly:
Number of students in a high school senior class = 500
Number of students that regularly wear a necklace = 300
Number of students that regularly wear a ring = 200
Number of students that wear a necklace and a ring = 125
2. What is P(N), the probability that a senior wears a necklace?
Let's recall the formula of probability:
Probability = Number of favorable outcomes/Total of possible outcomes
Substituting with the real given values:
P(N) = 300/500 = 3/5 (Dividing by 100 numerator and denominator)
P(N) = 3/5
3. What is P(R), the probability that a senior wears a ring?
Substituting with the real given values:
P(R) = 200/500 = 2/5 (Dividing by 100 numerator and denominator)
P(R) = 2/5
4. What is P(N and R), the probability that a senior wears a necklace and a ring?
Substituting with the real given values:
P(N and R) = 125/500 = 1/4 (Dividing by 125 numerator and denominator)
P(N and R) = 1/4
5. What is P(N or R), the probability that a senior wears a necklace or a ring?
P(N or R) = P(N) + P(R) - P(N and R)
Substituting with the real given values:
P(N or R) = 3/5 + 2/5 - 1/4
P(N or R) = 5/5 - 1/4
P(N or R) = 1 - 1/4
P(N or R) = 3/4
The probabilities are:
P(N) = 0.6
P(R) = 0.4
P(N and R) = 0.25
P(N or R) = 0.75.
Let's solve the given probabilities step-by-step using the provided information.
Step 1: Calculate P(N)
The probability that a senior wears a necklace, P(N), is calculated by dividing the number of students wearing a necklace by the total number of students.
P(N) = 300 / 500 = 0.6Step 2: Calculate P(R)
The probability that a senior wears a ring, P(R), is calculated similarly by dividing the number of students wearing a ring by the total number of students.
P(R) = 200 / 500 = 0.4
Step 3: Calculate P(N and R)
The probability that a senior wears both a necklace and a ring, P(N and R), is given directly in the problem.
P(N and R) = 125 / 500 = 0.25
Step 4: Calculate P(N or R)
The probability that a senior wears either a necklace or a ring is given by the formula:
P(N or R) = P(N) + P(R) - P(N and R)P(N or R) = 0.6 + 0.4 - 0.25 = 0.75An arithmetic sequence is given below.
14, 21, 28, 35, ...
Write an explicit formula for the nth term an.
The western and eastern cell towers are 10 miles apart. From the
western cell tower, a phone signal is 10° north of east. From the eastern cell tower, the
signal is 20° west of north. How far away is the cell phone from each of the towers?
Sketch a diagram.
The distance of the cell phone from the western tower is 27.47 miles and from the eastern tower is 1.76 miles
Explanation:
The sketch is attached for the reference.
tan (10) = [tex]\frac{NE}{WE}[/tex]
[tex]0.176 = \frac{NE}{10} \\\\NE = 1.76[/tex]
tan (70) = [tex]\frac{NW}{WE} \\\\[/tex]
[tex]2.747 = \frac{NW}{10} \\\\NW = 27.47[/tex]
Therefore, the distance of the cell phone from the western tower is 27.47 miles and from the eastern tower is 1.76 miles
4,139 divided by 14 equals what?
Answer:
that would be 57,946
Answer: 295.642 (Work is shown below in the image)
Step-by-step explanation:
The width of a rectangular room is 40% of its length. If the length is 20 feet, what is the area of the room?
Answer:
160 ft^2
Step-by-step explanation:
First you have to find the width, then you find the area. To find the width with a percentage we do Part/ Total = %/100 and we cross multiply. We need to find the part so that is the unknown, we will call it 'w' for width
w/20 = 40/100 Now we cross multiply, the x and the 100 and the 20 and 40
w * 100 = 100w
20 * 40 = 800
Now we have 100w = 800 The next step is to divide both sides by 100 so we just have w
100x/100= w
800/100 = 8
w = 8
The width is 8
Now we find the area which is length x width
20 x 8 = 160
So the area is 160 ft^2
The polynomial is a difference of perfect squares. Use the formula a2 – b2 = (a + b)(a – b) to factor completely.
81x2 – 49
The value of a is .
The value of b is .
The product of the prime factors is
Answer:
a=9x
b=7
(9x-7)(9x+7)
Step-by-step explanation:
81x^2-49=(9x)^2 - 7^2=(9x-7)(9x+7)
Answer:
1: 9x
2: 7
3: (9x-7)(9x+7)
OR
1: 3rd option
2: 2nd option
3: 4th option
Step-by-step explanation:
got it right on Edge
have a great day!!!
PLZ MARK BRAINLIEST
Ed is a car salesman. he makes 1.5% commission on each car he sells. if he made $397.50 on the last car he sold,find the sales price of the car.
Answer:
$26,500.
Step-by-step explanation:
It is given that Ed is a car salesman. he makes 1.5% commission on each car he sells.
He made $397.50 on the last car he sold.
We need to find the sales price of the car.
Let x be the selling price of the car.
1.5% of x = $397.50
[tex]x\times \dfrac{1.5}{100}=397.50[/tex]
[tex]0.015x=397.50[/tex]
Divide both sides by 0.015.
[tex]x=\dfrac{397.50}{0.015}[/tex]
[tex]x=26,500[/tex]
Therefore, the sales price of the car is $26,500.
The sales price of the car is $26,500.
Explanation:To find the sales price of the car, we need to divide the commission amount by the commission rate.
First, let's convert the commission rate to a decimal. 1.5% is equal to 0.015.
Next, we'll use the formula: Sales Price = Commission Amount / Commission Rate.
So, the sales price of the car can be found by dividing $397.50 by 0.015, which equals $26,500.
The ladder forms a right triangle with legs 5 feet and 12 feet. How long is the ladder?
The length of the ladder is 13 feet.
Step-by-step explanation:
The length of the ladder forms the hypotenuse of the right triangle.The two legs of the right triangle are 5 feet and 12 feet.From the Pythagorean Triplets (5,12,13) :
It can be determined that the longest side called hypotenuse is 13 feet.
Therefore, the length of the ladder = 13 feet.
Six students collect buttons for a project. The students have 10, 14, 15, 12, 13, and 14 buttons. They divide the buttons evenly
so that each student receives the same number of buttons. How many buttons does each student receive?
0 11
0 12
OOOO
0 13
14
Save and Exit
Mark this and return
Answer:
13
Step-by-step explanation:
10+ 14+ 15+ 12+ 13+ 14=78
78/6=13
Each student will receive 13 buttons provided six students collected 10, 14, 15, 12, 13, and 14 buttons respectively and they divided the buttons evenly so that each student receives the same number of buttons. This can be obtained by adding to find total number of buttons and dividing by total number of students, that is 6.
Calculate the number of buttons each student receive:Given that, six students collected 10, 14, 15, 12, 13, and 14 buttons respectively.
Therefore total number of buttons, 10+14+15+12+13+14 =78 buttons.
Number of buttons each student will get,78 buttons/6 students =13 buttons
Hence each student will receive 13 buttons provided six students collected 10, 14, 15, 12, 13, and 14 buttons respectively and they divided the buttons evenly so that each student receives the same number of buttons. The correct answer is option 3.
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Find the slope of (1,6) and (10,-9
Answer:
-5/3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-9-6)/(10-1)
m=-15/9
simplify
m=-5/3
In 2009, the United States had only had 44 presidents. Eight presidents were born in the state of Virginia. In simplest form, what fraction of presidents were born in Virginia?
Answer: 2/11
Step-by-step explanation:
8/44 in simplest form
Step 1: find a divisible number for the numerator and denominator
= 2/11
El horario y el minutero de un reloj miden respectivamente 0.7 y 1.2cm. Determinar la distancia entre los extremos de dichas manecillas a las 13:30 horas
Answer:
1.5887 cm
Step-by-step explanation:
If the time is 13:30, The hour pointer will be between the numbers 1 and 2.
Each number of the 12 number clock is separated by 30 degrees, so the hour pointer is at 45 degrees.
The minute pointer is at 30 minutes, so it is in number 6, being therefore at angle 180.
The angle formed by the pointers will be 180 - 45 = 135 degrees.
We can draw a triangle with both pointers and this angle (image attached)
So, we can calculate the distance between the tip of the pointers (let's call it "d") using law of cosines:
d^2 = 0.7^2 + 1.2^2 - 0.7*1.2*cos(135)
d^2 = 0.49 + 1.44 - (-0.5940) = 2.524
d = 1.5887 cm
The distance between the tip of the pointers (let's call it "d") using law of cosines is 1.5887 cm.
If the time is 13:30, The hour pointer will be between the numbers 1 and 2.
Each number of the 12 number clock is separated by 30 degrees, so the hour pointer is at 45 degrees.
The minute pointer is at 30 minutes, so it is in number 6, being therefore at angle 180.
The angle formed by the pointers will be 180 - 45 = 135 degrees.
We can draw a triangle with both pointers and this angle (image attached)
So, we can calculate the distance between the tip of the pointers (let's call it "d") using law of cosines:
d^2 = 0.7^2 + 1.2^2 - 0.7*1.2*cos(135)
d^2 = 0.49 + 1.44 - (-0.5940) = 2.524
d = 1.5887 cm
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The Equation C = 2D shows how the cost of a car ride depends on the distance in miles. The Variable D Represents the number of miles driven, and the Variable C represents the cost in dollars. If a Car ride is 10 miles long, how much will it cost?
A)15
B)30
C)20
D)25
$ 20
Step-by-step explanation:
Step 1:
Equation is given by C = 2D
Here D is equal to 10 miles
Variable C costs twice the distance traveled.
Step 2:
Here D= 10 Miles.
Hence, C= 2*10 = 20
Hence $20 will be the cost.
can someone please solve this
Answer:
Y-intercept: (0,6)
Multiplier: 3
Equation: y = 3x + 6
The circle has an angle of 40° and an area of 8 cm2. Calculate the area of the entire circle.
Step-by-step explanation:
answer it yourself
Jordan is a salesperson at the store. Jordan has a base monthly salary of $1,450 and also earns a commission of 5% on his monthly sales. Jordan would like to earn a monthly salary of $1,800 in July. What amount of sales, in dollars, does Jordan need in order to reach the desired salary goal in July
Answer:
$7,000
Step-by-step explanation:
1800 = 1450 + 0.05X
0.05X = 350
X = 7000
Answer:
7,000
Step-by-step explanation:
because 1450 x 5 is 7250
5 percent of 7250 is 7000
A window box in the shape of a rectangular prism is 7 inches long and 4 inches wide. It holds 168 cubic inches of dirt. What is its height?
Answer:
6 inches
Step-by-step explanation:
The formula for volume is length*width*height. Following this,
7*4*h=168
28h=168
h=6
Answer:
The height is 6 inches
Step-by-step explanation:
7 x 4= 28
28 x 6=168
Desiree ran 12 miles in 1 hr, 48 minutes, What was Desiree's average running rate, in minutes per mile
Answer: 1/9
Step-by-step explanation:
60 + 48 = 108 minutes
12 / 108 = 1/9
I need help with finding x
ANSWER ASAP!!!!!!!!!!
The value of x is 36.
Solution:
Given angles of a triangle are 2x°, 2x° and x°.
To find the value of x:
Sum of the all the angles of a triangle = 180°
2x° + 2x° + x° = 180°
5x° = 180°
Divide by 5 on both sides of the equation.
x° = 36°
x = 36
The value of x is 36.
Factor: 4b^3 - 12b^2 - 9b + 27
Answer:
(2b - 3)(2b + 3)(b - 3)
Step-by-step explanation:
4b³ - 9b - 12b² + 27
b(4b² - 9) - 3(4b² - 9)
(4b² - 9)(b - 3)
(2b - 3)(2b + 3)(b - 3)
Answer:
[tex](4b^{2}-9)(b-3)[/tex]
Step-by-step explanation:
In order to factor this expression you need to factor by grouping.
First focus on factoring the first two terms them factor the last two terms
1. Lets focus on the first 2 terms:
[tex]4b^{3} -12b^{2}[/tex] (You can factor out [tex]4b^{2}[/tex])
[tex]4b^{2} (b-3)[/tex] (this is what you're left with
2. Lets focus on the last 2 terms:
[tex]-9b+27[/tex] (You can factor our a -9)
[tex]-9(b-3)[/tex] (this is what you're left with
3. Now lets put both of the factored parts together:
[tex]4b^{2} (b-3)-9(b-3)[/tex] (Since both equations have the factor (b-3) in common that is one of our answers) (pull out that factor)
[tex](b-3)[/tex]
Now whatever is left create the second factor:
[tex](4b^{2} -9)[/tex]
So, [tex](4b^{2} -9)(b-3)[/tex] are the factors that make this expression.
You can double check that these are the right factors by using the FOIL method.
If you use the FOIL method it forms the original expression [tex]4b^{3} -12b^{2} -9b+27[/tex]
so we know for sure these are the right factors.
I will upload an image of how to use the FOIL method.
FOIL stand for Front, Outer, Inner, Last
It takes a jet 2 hours to fly 1,100 miles. At this rate, how far does it fly in 8 hours?
We know that 8(hrs) is 4 times 2(hrs) so now we just need to multiply.
Multiply 1,100 by 4.
1,100 × 4 = 4,400
The jet will fly 4,400 miles in 8 hours.
Answer:
4400miles
Step-by-step explanation:
1,100 divided by 2 = 550
and 550 times 8 is 4400
If f(x) = 4x2 -3 and g(x)= x+1, find (f -9)(x)
Answer:
4x^2 - x - 4.
Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
= 4x^2 - 3 - (x + 1)
= 4x^2 - 3 - x - 1
= 4x^2 - x - 4.
a middle school wants to have its students see a movie at a loccal theater. the total cost of the theater and movie rental is $1500. what equation show how the cost per student depends on the nuber of students
Answer:
Since I don't know the number of students, I think the equation would be 1500=x*n, with x being the cost and n being the number of students.
Step-by-step explanation:
Final answer:
The equation that shows how the cost per student depends on the number of students is: Cost per student = Total cost / Number of students. For example, if there are 30 students, the cost per student would be $50.
Explanation:
The equation that shows how the cost per student depends on the number of students can be expressed as:
Cost per student = Total cost / Number of students
In this case, the total cost is $1500, so the equation becomes:
Cost per student = $1500 / Number of students
For example, if there are 30 students, the cost per student would be:
Cost per student = $1500 / 30 = $50
Alice asked each of her friends to help fill water balloons. The number of balloons each of her friends filled is listed below.
2, 3, 5, 5, 6, 7, 7, 7, 8, 10
What is the mean of the data?
Answer: The mean is 6.
1.) (Add) To find mean, add all listed values then, divide by the total amount of values.
- 2 + 3 + 5 + 5 + 6 + 7 + 7 + 7 + 8 + 10 = 60.
2.) Divide the total by the amount of values.
- 60/10 ( There are 10 numbers in total ) = 6.
The mean of the data is 6.
To find the mean of the data set provided by Alice's friends, you need to follow these steps:
Add all the numbers together. The numbers are: 2, 3, 5, 5, 6, 7, 7, 7, 8, and 10.
The sum of these numbers is: 2 + 3 + 5 + 5 + 6 + 7 + 7 + 7 + 8 + 10 = 60.
Count the total number of data points, which is 10.
Divide the sum by the number of data points: 60 / 10 = 6.
Therefore, the mean of the data is 6.
2x - 4(x + 2) = -2X-8
Answer:
x= 0
Step-by-step explanation:
in order to find the value of x in the 2x - 4(x + 2) = -2X-8
we are going to apply bodmas rule by first opening the bracket
we have,
2x-4x-8 = 2x -8
we proceed to collect the like terms
2x -4x-2x = -8 +8
-4x = 0
divide both sides by -4
-4x/-4 = 0/-4
x= 0
Daniel brought 2 notebooks and a pack of pens for $8. Jose bought 3 notebooks and a pack of pens for $11. What is the cost of a pack of pens?
Answer:
3-2 notebooks= 11$-8$=3 $
so 2 notebooks= 2*3=6 $
so a pack of pens is 8$-6$=2$
Step-by-step explanation:
The cost of a pack of pens is $2 and it can be determined by using a system of equations.
Given that,
Daniel brought 2 notebooks and a pack of pens for $8.
Jose bought 3 notebooks and a pack of pens for $11.
We have to determine,
What is the cost of a pack of pens?
According to the question,
Let, the cost of notebook be x,
And the cost of a pack of pens is y.
Daniel brought 2 notebooks and a pack of pens for $8.
2x + y = 8
Jose bought 3 notebooks and a pack of pens for $11.
3x + y = 11
On subtracting both the equation
2x + y - (3x + y ) = 8-11
2x + y -3x -y = -3
-x = -3
x = 3
Substitute the value of x in the equation 1,
2x + y = 8
2(3) + y = 8
6 + y = 8
y = 8-6
y = 2
Hence, The cost of the notebook is $3 and the cost of a pack of pens is $2.
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express 3.14x10 to the power of -2 in ordinary form
Answer:
Step-by-step explanation:
[tex]3.14*10^{-2}=\frac{3.14}{10^{2}}\\\\=\frac{3.14}{100}=0.0314[/tex]
Good morning ☕️
Answer:
0.0314Step-by-step explanation:
3.14x10⁻²
since 10 is raised to a negative number (-2)
then we just need to move the decimal point in the number 3.14 two steps to the left ,like this :
3.14x10⁻² = 0.0314
by the way 3.14 = 003.14
__________________________________________________________
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A line is perpendicular to y = 3x - 8
and intersects the point (2,2).
What is the equation of this
perpendicular line?
Answer:
y=-1/3x+8/3
Step-by-step explanation:
y=3x-8 k1=3
k1*k2=-1
3*k2=-1
k2=-1/3
A(2,2) x1=2, y1 =2
y-y1 =k2(x-x1)
y-2=-1/3(x-2)
y-2=-1/3x+2/3
y=-1/3x+2/3+2
y=-1/3x+2/3+6/3
y=-1/3x+8/3
Simplify the following expression. (5^3)^5
Yo sup??
(5^3)^5
=5^3*5
=5^15
Hope this helps
5^8 is the answer.
the expression is given:(5^3)^5
(5^3)^5
5^3+5
5^8
=390,625
What simplifies the expression?Basically, when simplifying an expression, try to make it as simple as possible. After all, don't add, subtract, multiply, or divide anything. For example, consider the following equation: 4 + 6 + 5.
For example, 1/2 (x + 4) can be simplified as x / 2 + 2. Let's look at another example to understand. Example: Simplify the formula: 3/4x + y / 2 (4x + 7). Using the law of distribution, a given equation can be written as 3/4x + y / 2 (4x) + y / 2 (7).
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A swimming pool is shown below.
Two maintenance workers correctly found the total area of the pool by adding the areas of 3 rectangles. But each worker wrote a different expression for the area.
Which could be the expressions the two workers wrote?
Answer:
the answer is c
Step-by-step explanation
Answer:
c
Step-by-step explanation:
ANSWER QUICK!!!
If the mean of two numbers is 2.5 what is true about the data. a) both numbers are greater than 5. b) One of the numbers is less than 2. c) One of the numbers is 2.5. d) The sum of the data is not divisible by 2.
b becuces you add the dived
Final answer:
The mean of two numbers is 2.5, indicating that their sum is 5, which gives several possibilities about the individual numbers. The true statements based on the mean could be that one of the numbers is less than 2 or exactly 2.5.
Explanation:
If the mean of two numbers is 2.5, this means when we add those two numbers together and divide by 2 (because there are two numbers), the result is 2.5. To find what is true about the data based on this information, let’s examine each provided option:
a) Both numbers are greater than 5: This cannot be true; if both numbers were greater than 5, their mean would be greater than 5.
b) One of the numbers is less than 2: This statement can be true; for instance, if one number was 1 and the other was 4, the mean would be 2.5.
c) One of the numbers is 2.5: This can also be true; if one number is 2.5 and the other is any number that, when averaged with 2.5, results in 2.5, it would work (for example, 2.5 and 2.5).
d) The sum of the data is not divisible by 2: This is false; since the mean is 2.5 and there are two numbers, the sum must be 5, which is divisible by 2.
So the correct answer is b) and possibly c), meaning one of the numbers is less than 2 or one of the numbers could be exactly 2.5.