Answer:
To check all the events (6), we label the chips. Suppose one chip with 1 is labeled R1 and the other B1 (as if they were red and blue). Now, lets take all combinations; for the first chip, we have 4 choices and for the 2nd chip we have 3 remaining choices. Thus there are 12 combinations. Since we dont care about the order, there are only 6 combinations since for example R1, 3 is the same as 3, R1 for us.
The combinations are: (R1, B1), (R1, 3), (R1, 5), (B1, 3), (B1, 5), (3,5)
We have that in 1 out of the 6 events, Miguel wins 2$ and in five out of the 6 events, he loses one. The expected value of this bet is: 1/6*2+5/6*(-1)=-3/6=-0.5$. In general, the expected value of the bet is the sum of taking the probabilities of the outcome multiplied by the outcome; here, there is a 1/6 probability of getting the same 2 chips and so on. On average, Miguel loses half a dollar every time he plays.
What is 3x2 + 21x + 18 in factored form?
0
A
3(x + 2)(x + 3)
O
B. 3(x + 6)(x + 1)
0
C. 3(x + 3)(x + 2)
D. 3(x + 1)(x + 2)
Answer:
B
Step-by-step explanation:
Given
3x² + 21x + 18 ← factor out 3 from each term
= 3(x² + 7x + 6) ← factor the quadratic
Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 7)
The factors are + 6 and + 1, since
6 × 1 = 6 and 6 + 1 = 7, thus
x² + 7x + 6 = (x + 6)(x + 1)
Thus
3x² + 21x + 18 = 3(x + 6)(x + 1) → B
A footbridge is in the shape of an arc of a circle. The bridge is 7 ft tall and 29 ft wide. What is the radius of the circle that contains the bridge? Round your answer to the nearest tenth.
Answer:
18.5 ft (to the nearest tenth)
Step-by-step explanation:
The diameter of the circle passes through the center of the circle and divides the width of the circle into two equal parts.
We complete the circle and apply the Law of Intersecting Chords.
In the diagram, by this law:
AB X BC =DB X BE
7*x=14.5X14.5
x=14.5X14.5÷7
x=30.04
Therefore:
Length of the Diameter= 7+30.04 ft=37.04 ft
Radius =37.04/2= 18.5 ft
The radius of the circle should be 18.5 ft (to the nearest tenth).
Calculation of the radius:
Since there is the bridge is 7 ft tall and 29 ft wide.
Also,
here we apply the Law of Intersecting Chords.
So,
[tex]AB \times BC =DB \times BE\\\\7\times x=14.5\times 14.5\\\\x=14.5\times 14.5\div 7[/tex]
x=30.04
Now
Length of the Diameter= 7+30.04 ft=37.04 ft
So, Radius = 50% of 37.04 = 18.5 ft
Hence, The radius of the circle should be 18.5 ft (to the nearest tenth).
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Rocco received 5 new shirts and 2 new pairs of jeans for his birthday how many different ways can he wear his shirts with jeans?
2
5
7
10
None of these
Answer:
D
10
Step-by-step explanation:
The requried Rocco can wear his shirts with jeans in 10 different ways. The correct answer is 10.
To determine the number of different ways Rocco can wear his shirts with jeans, we need to multiply the number of options for shirts by the number of options for jeans. In this case, Rocco has 5 different shirts and 2 different pairs of jeans.
Since he can wear any shirt with any pair of jeans, the total number of different combinations is obtained by multiplying the number of shirts (5) by the number of jeans (2):
5 shirts * 2 pairs of jeans = 10 different ways
Therefore, Rocco can wear his shirts with jeans in 10 different ways. The correct answer is 10.
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Ms. Hatcher bought the pencil decoration shown below for her bulletin board.
If a = 11 in and b = 25 in, what is the area of the pencil?
Answer:
335.5 in^2
Step-by-step explanation:
The area is a rectangle and a triangle
The area of the rectangle is
A = a*b where a is 11 and b is 25
A = 11*25 =275
The area of the triangle is
A = 1/2 b*h where b is 11 and h is 11
A = 1/2 (11) * 11
A = 60.5
The total area is 275+60.5=335.5
Question:
Crack the code and
give the missing number:
GOLD = 5
LEAD = 6
SILVER = 8
URANIUM = 11
PLATINUM = ?
Answer:
PLATINUM = 11
Step-by-step explanation:
It appears that the "code" is that vowels count 2 and consonants count 1.
GOLD = 1 for GLD +2 for O = 3+2 = 5
LEAD = 1 for LD +2 for EA = 2 +4 = 6
SILVER = 1 for SLVR +2 for IE = 4 +4 = 8
URANIUM = 1 for RNM +2 for UAIU = 3 +8 = 11
PLATINUM = 1 for PLTNM +2 for AIU = 5 +6 = 11
The missing number is PLATINUM =15
SequenceA sequence in mathematics is an enumerated collection of items in which repetitions are permitted and order is important.
Crack the code and give the missing numberGiven that, GOLD = 5, LEAD = 6, SILVER = 8, URANIUM = 11, PLATINUM = ? from the given data we can see its in a sequence let say GOLD=5
so adding natural number (1, 2, 3, 4, ...) in the sequence will give next valueGOLD = 5LEAD = 5+1=6SILVER = 6+2=8URANIUM = 8+3=11
therefore, PLATINUM = 11+4=15
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Brianna surveyed a representative sample of students at her school to collect data about the numbers of Internet-compatible devices they own. Estimate about how many of the 250 students who attend Brianna’s school own exactly two Internet-compatible devices.
Answer:
125 students
Step-by-step explanation:
The following table is missing:
Number of Devices Number of Students
1 18
2 25
3 or more 7
Total 50
From the sample, we can estimate that 25/50 = 0.5 or 50% of the students have exactly two Internet-compatible devices. Then there are 0.5*250 = 125 students who have exactly two Internet-compatible devices in Brianna’s school.
Mich had $10.52 after he left the bookstore. If he bought a book for $6.39, and a magazine for $3.99, how much money did he have before he went to the book store? a.) $0.14 b.) $10.38 c.) $16.91 d.) $20.90
What is the quotient?
StartFraction 7 Superscript negative 4 Over 7 Superscript negative 9 EndFraction
StartFraction 1 Over 7 Superscript 13 EndFraction
StartFraction 1 Over 7 Superscript 5 EndFraction
7 Superscript 5
7 Superscript 13
Answer:
A
Step-by-step explanation:
The required quotient is [tex]7^5[/tex].
To simplify [tex]7^{-4}/7^{-9}[/tex]
What is quotient?The quotient is the outcome value obtained when a particular value divided by a value.
Here,
Simplification,
[tex]=7^{-4}/7^{-9}\\=7^{-4}*7^{9}\\=7^{-4+9}\\=7^5[/tex]
Thus, the required quotient is [tex]7^5[/tex].
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How is a relationship determined when looking at a scatterplot?
Answer:
The relationship between two variables is called their correlation The relationship between two variables is called their correlation
Step-by-step explanation:
Answer:
Scatter plots show how much one variable is affected by another. The relationship between two variables is called their correlation . ... The closer the data points come when plotted to making a straight line, the higher the correlation between the two variables, or the stronger the relationship.
4x+9Y=-19
-4X-7=13
Solving systems of equations using any method
Final answer:
To solve the system of equations, use the method of elimination. Multiply the second equation by 4 to make the coefficients of 'x' in both equations opposite. Add the two equations together to eliminate 'x' and solve for 'y'. Substitute the value of 'y' into one of the original equations and solve for 'x'. The solution to the system of equations is x = -5/2 and y = -1.
Explanation:
To solve the system of equations:
4x + 9y = -19
-4x - 7y = 13
We can use the method of elimination. Multiply the second equation by 4 to make the coefficients of 'x' in both equations opposite:
16x + 28y = -52
Now, add the two equations together to eliminate 'x':
37y = -39
Divide both sides by 37:
y = -1
Substitute the value of 'y' into one of the original equations:
4x + 9(-1) = -19
4x - 9 = -19
Add 9 to both sides:
4x = -10
Divide both sides by 4:
x = -10/4 = -5/2
Therefore, the solution to the system of equations is x = -5/2 and y = -1.
Similar triangles ... help?
Answer:
The second answer
XYZ-RQS
Step-by-step explanation:
What is 20 5/10 + 9 3/10
Answer:
Exact Form:
149 /5
Decimal Form:
29.8
Mixed Number Form:
29 4 /5
Step-by-step explanation:
If this helped, please mark brainiest, thanks
Answer:
29 8/10
Step-by-step explanation:
because since the denominaters are the same you can just add the fractions.
5+3=8 and 20+9=29
Josh is following a recipe that calls for 2.5 cups of sugar to make 2 dozen cookies. He uses 3.5 cups of sugar to make 3 dozen cookies. Has he followed the recipe? Explain.
Answer:
no
Step-by-step explanation:
you divide the first one then multiply and find out if it is
and it turns out not
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Give the equation of the line with a slope of 1/3 and a y-intercept of −6
Answer:
y=1/3x-6
Step-by-step explanation:
equation: y=mx+b
m=slope, b=y-intercept
equation: y=1/3x-6
g(x) = “8x
What is the domain of g?
Answer: -1 is not in the domain and 0 and 2 are in the domain
Step-by-step explanation:
The domain of the function g(x) = “8x” is all real numbers, as there are no restrictions on the values that x can take.
The question seeks to find the domain of a function represented as g(x) = “8x. A function's domain refers to all the possible values that can be input into the function. In the case of g(x) = “8x, this is a linear function where x can take any real number value since there are no restrictions like square roots or denominators that could potentially exclude certain x values. Therefore, the domain of g is all real numbers, often represented as (-∞, +∞) or ℝ in set notation.
Taylor Breen took out a $100,000, 5-year term policy at age 48. The premium per $1,000 was $4.70. He will be 53 years old next year when the premium per $1,000 will be $6.40. What is the amount of the increase?
Select one:
a. $133
b. $136
c. $173
d. $170
To find the amount of the increase, calculate the difference in premiums per $1,000 between when Taylor Breen took out the policy at age 48 and when he will be 53 years old next year. The amount of the increase is $170.
Explanation:To find the amount of the increase, we need to calculate the difference in premiums per $1,000 between when Taylor Breen took out the policy at age 48 and when he will be 53 years old next year.
First, let's calculate the initial premium per $1,000 at age 48:
$100,000 / $1,000 = 100 (number of units)
$100,000 * $4.70 = $470,000 (initial premium)
Next, let's calculate the premium per $1,000 when Taylor Breen will be 53 years old:
$100,000 / $1,000 = 100 (number of units)
$100,000 * $6.40 = $640,000 (premium at age 53)
The amount of the increase is:
$640,000 - $470,000 = $170,000
Therefore, the amount of the increase is $170.
49w^2-4=0. Simplied fraction?
Answer:
{-2/7, 2/7}
Step-by-step explanation:
Here you're being asked to solve the given equation 49w^2-4=0 for w with the hint that the solutions are fractions.
49w^2-4=0 is the product of the sum and difference of two squares:
(7w - 2)(7w + 2) = 0
Setting each factor equal to zero and solving for w, we get:
{-2/7, 2/7} as the solutions.
What is the conjugate of 6 + 4i?
Answer:
6+4i
Step-by-step explanation:
the conjugate of a complex number a + bi is the number a- bi
Simon bought 5 packs of red bouncy balls and 2 packs of yellow bouncy balls. Each package contained 8 bouncy balls. How many more red bouncy balls than yellow bouncy balls did Simon buy?
WILL GIVE BRAINLIST!! :))))!!!!
Answer:
24
step-by-step explanation:
24
Answer:
it's 24
Step-by-step explanation:
The given figure is a square pyramid. The side length of the base of the pyramid is 6.6 feet. The height of the
pyramid is 12.672 feet. What is the volume of the pyramid?
Answer:
Step-by-step explanation:multiply then round
equivalent expression with fewer terms to 5+2x+7+4x ??
Answer: 12+6x
Step-by-step explanation:
add like terms
Answer:
12+6x
Step-by-step explanation:
5+2=7
2x+4x=6x
Plug the two expressions together and you will have 12+6x
Sara has a stack of 8 plates each plate is 0.5 inches and she is trying to wrap them as a gift the largest plate has a diameter of 10 inches and each plate has a diameter of 1 inch smaller than the previous plate. She has a cylindrical box with a radius of 5 in that can hold 150 cubic inches will her plates fit in the box
Answer: No her plates will not fit in the box
Step-by-step explanation: Each plate is 0.5 inches tall; therefore, the stack of 8 plates will have a height of .
Also, the diameter of the largest plate is 10 inches or has a radius of 5 inches, which matches the radius of the cylindrical box; therefore, we know that the stack of plates can fit into the base area of the cylindrical box.
What we want to figure out now is the height of the cylindrical box to see if it is greater than or equal to 4 inches—the height of the stack of plates.
The volume of a cylinder is , and since for our cylindrical box the volume is 150 cubic inches; therefore,
putting in and solving for height we get
,
which is not greater than 4 inches, which means the plates will not fit into the box since the height of the stack is greater than the height of the box.
Bailey has a jar of marbles. The bowl has 16 green, 20 red, and 14 yellow marbles. He reaches into the jar without looking and randomly grabs a marble.
What is the probability that he grabs either a green marble or a yellow marble?
Enter your answer as a fraction in simplest form.
Choose the formula and the probability?
Answer:
3/5
Step-by-step explanation:
16g
20r
14y
=50 marbles
16/50 = 3.5/10
20/50 = 4/10
14/50 = 3/10
= 16/50 + 14/50 = 30/50 = 3/5
-x^2+5x+5x+4+2x^2+3
Answer:
x^{2}+10x+7 is the simplified function
Step-by-step explanation:
I also graphed the function below, if you needed it!
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What is the volume of the sphere, rounded to the nearest cubic foot?
Given:
Radius = 5 ft
To find:
The volume of the sphere
Solution:
Volume of the sphere:
[tex]$V=\frac{4}{3}\pi r^3[/tex]
[tex]$V=\frac{4}{3}\times 3.142 \times 5^3[/tex]
[tex]$V=523.66[/tex]
[tex]$V=524[/tex]
The volume of the sphere is 524 ft³.
The sides of a triangle are 12 m, 5x m, and 4x m long. (a) Express the perimeter of the triangle in terms of x. (b) Find the perimeter of the triangle when x = 4.
So now (a) Express the perimeter of the triangle in terms of x. and (b) Find the perimeter of the triangle when x = 4.
Answer:
a) 9x + 12
b) 48 m
Step-by-step explanation:
Perimeter is the sum of all sides:
12 + 5x + 4x
12 + 9x
x = 4
12 + 9(4)
48
Jason has been painting pictures every day for the last three months. Which of the following is a statistical question that Jason can be asked?
A.
How many pictures were painted each day for the first month?
B.
Which picture required the maximum amount of time to paint?
C.
What is the total time spent on painting in the last three months?
A statistical question that Jason can be asked is How many pictures were painted each day for the first month .
What is Statistics ?
It is the branch of Mathematics which is used to observe , analyze and predict data.
It has usage in many fields to predict weather , stock prices etc.
It is given that Jason has been painting pictures every day for the last three months
Statistics involve accumulating data of a single event at various occasions
A statistical question that Jason can be asked is How many pictures were painted each day for the first month
As this involves an event of painting a picture and the same work is done daily , The statistical question in this is that no. of painting that are painted each day is asked .
Therefore Option A is the correct answer.
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The answer/ why it’s right
FOLLOW ME FOR CLEARING YOUR NEXT DOUBT
Answer:
The answer is option 2.
Step-by-step explanation:
It is given that the formula of the volume of rectangular prism is, V = length×width×height. Then you have to substitute the values into the formula to find the volume :
length = 3x
width = 7x
height = 15x
V = (3x) × (7x) × (15x)
= 315x³
Define a polynomial that is a difference of squares. How do you know that it is the difference of squares? How is it factored?
Answer:
Here you go, your equation should look a lot like this:
x²-16 -----> (x+4)(x-4).
Step-by-step explanation:
It's an example of what you should be writing depending on your answer. You did not include any details about your question.
The polynomial that is a difference of squares will be x²-16. It is factored as (x+4)(x-4).
What is a polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order. Polynomials are used in management, computer, and math-based occupations. Variables and constants are utilized to define numbers that are known and unknown in expressions in all professions that need proficiency with polynomials.
We have to define a polynomial that is a difference of squares we have to also do factors for that polynomial.
The polynomial that is a difference of squares is found as,
x²-16
Used the below identity in order to factorize the polynomial,
a²-b²=(a+b)(a-b)
16 in its square form is written as 4².
x²-4² = (x+4)(x-4)
Thus, the polynomial that is a difference of squares will be x²-16. It is factored as (x+4)(x-4).
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How far, to the nearest foot, does a horse on a Merry-Go-Round travel in one revolution if he is 6.5 feet from the center? (Use 3.14 for π)
A) 26 feet
B) 39 feet
C) 41 feet
D) 56 feet
Answer:
c
Step-by-step explanation:
I'm pretty sure it's asking for the circumference. The formula for finding the circumferene is C=πd (d=diameter) First, you need to fiind the diameter. Thequestion gives you the radius, 6.5, which is half the diameter. multiply that by 2 and you get 13. The question says to use 3.14 as π, so just multiply 3.14 by 13 and you get 40.82, which rounds to 41.