Answer:
the answer is 17
Suppose that your boss must choose four employees in your office to attend a conference in Jamaica. Because all 12 of you want to go, he decides that the only fair way is to draw names out of a hat. What is the probability that you, Charles, Margaret, and Sean are chosen?
Using the combination formula, it is found that the probability that you, Charles, Margaret, and Sean are chosen is:
[tex]p = \frac{1}{495}[/tex].
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 4 people will be chosen from a set of 12, hence the number of ways to choose them is:
[tex]C_{12,4} = \frac{12!}{4!8!} = 495[/tex]
The desired combination is only one, hence the probability is:
[tex]p = \frac{1}{495}[/tex].
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answers please.......
Answer:
$69.375
Step-by-step explanation:
To find the total cost: you will add the actual cost of the rug, $64 and the additional shipping and handling cost, $5.375.
[tex]64 + 5.375 = 69.375[/tex]
The total cost of the rug, including shipping and handling is $69.375
Answer:
$69.38
Step-by-step explanation:
64 plus 5 is 69. Add 375 for 69.375. Round the decimal up to get $69.38
Given the following functions: f(x) = x2 – 5 and g(x) = x - 3.
Find f(g(x))
Answer:
f(g)x))= x^2 -6x +4
Step-by-step explanation:
first, plug in g(x) into f(x): f(g)x)) =(x-3)^2 -5
then, you simplify the (x-3)^2 into (x-3)(x-3): f(g)x))= (x-3)(x-3) -5
when you distribute the two (x-3) you end up with: f(g)x))= x^2 -6x +9 -5
finally, you combine like terms and subtract 5 from 9 and your final answer is : f(g)x))= x^2 -6x +4
note: x^2 is x squared or exponent of 2
The result of which expression will best estimate the actual product of (Negative four-fifths) (three-fifths) (Negative StartFraction 6 over 7 EndFraction) (five-sixths)?
(Negative 1) (one-fourth) (Negative 1) (negative 1)
(Negative 1) (one-half) (Negative 1) (1)
(Negative StartFraction 4 over 2 EndFraction) (Three-halves) (Negative two-fifths) (Five-halves)
(Negative three-fourths) (Negative three-fourths) (Negative one-fifth) (One-half)
Answer:
The Answer Is B
Step-by-step explanation:
-4/5 = -1 (Rounded)
3/5 = 1/2 (Rounded)
-6/7 = -1 (Rounded)
5/6 = 1 (Rounded)
If your looking for the whole thing it would be:
(-1)[1/2](-1)(1) = x
Your Welcome! <3
The result of which expression B will best estimate the actual product of (-4/5) × (3/5) × (-6/7) × (5/6).
What are arithmetic operations?The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.
It is given that the expression is, a product of Negative four-fifths) (three-fifths) (Negative StartFraction 6 over 7 EndFraction) (five-sixths),
= (-4/5) × (3/5) × (-6/7) × (5/6)
The final result of the given expression is,
= 360/1050
=0.34
The product of the given values in the expression B is obtained as the equivalent expression to the given values.
Thus, the result of which expression B will best estimate the actual product of (-4/5) × (3/5) × (-6/7) × (5/6).
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What is the value of 4x – 3y if x = 3 and y = 6?
Answer:
The value is -6.
Step-by-step explanation:
First, you use subsitution.
4(3) - 3(6)
Then, you multiply.
12 - 18
Do the subtraction and you're left with -6 as your answer.
8 less than the product of 7 and -10.
The expression is
The value of the expression is 1
Answer:
um i dunna
Step-by-step explanation:
uuuuhhghhhh
does this graph represent a function?Hint: use vertical line test.
What is the value of x in the equation 1.5(x +4)-3 = 4.5(x -2)?
3
4
5
9
Answer:
Step-by-step explanation:
1.5x + 6 - 3= 4.5x - 9
1.5x + 3 = 4.5x - 9
Bringing like terms on one side
3 + 9 = 4.5x - 1.5x
12 = 3x
12/3 = x
4 = x
Option B is the correct answer
1/8 as a decimal show how to do it
Answer:
0.125
Step-by-step explanation:
1/8 is the same as 1 ÷ 8
1 ÷ 8 = 0.125
I hope this helped!
Answer:
0.125
Step-by-step explanation:
how i do it it to multiply 125 by 8 that equals 1000. now, every 125 is 1/8 so there is your answer
Cna someone help me plzz
why does the graph of a proportional relationship must pass through the origin (0,0)
Answer:
Directly proportional relationships always pass through the origin (0,0). There are other linear relationships that do not pass through the origin.
The graph of a proportional relationship must pass through the origin (0,0). Because of the value of k, the ordered pair (0, 0) satisfies this equation.
What is a graph?
The relation between lines and points is described by a graph, which is a mathematical description of a network. A graph is made up of some points and connecting lines. It doesn't matter how long the lines are or where the points are located. A node is specified for each element in a graph.
A ray is used to describe any proportional relationship using an equation of the form y = kx. The ordered pair (0, 0) satisfies this equation regardless of the value of k, hence the ray or line must traverse the origin.
Thus, the graph of a proportional relationship must pass through the origin (0,0). Because of the value of k, the ordered pair (0, 0) satisfies this equation.
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A group of students formed a circle during a game. The circumference of the circle was about 43.96 feet, and the diameter of the circle was 14 feet.
Which expression best represents the value of
π
?
A.
43.96
7
B.
43.96
14
C.
7
43.96
D.
14
43.96
Answer:
pi = pi
Step-by-step explanation:
Circumference = 2 * pi * r
Equation you need:
43.96 = 2 * pi * 7
43.96 = 2 * 7 * pi
43.96 / 14 = pi
pi = 3.14
A kilometer is 1,000 meters because kilo is a prefix that means 1,000. The prefix mega means 1,000,000 and giga (as in gigabyte) means 1,000,000,000. One byte is the amount of memory needed to store one letter of the alphabet. About how many of each of the following would fit on a 1-gigabyte flash drive?
Answer: 10 megabytes
10,000 kilobytes
Step-by-step explanation:
simplify 7^6 x 7^5
(A) 49^11
(B) 49^35
(C) 7^11
(D) 7^35
Answer:
The answer is C) 7^11
Two real numbers are defined as x=0.555555555555555....
Y=0.4564556455564555..
Which is rational and which is irrational
Answer:
0.555555555555555 is a rational number
0.4564556455564555 is an irrational number
Show the solution in each linear inequality in system of linear inequalities by graphing y>-7/2x+3
Answer: When you graph it, put a dot on 3, and then count down 7 spaces, and 2 spaces to the right, put a dot there. Use a straight edge to draw a line through the two dots, that continues on the graph. You can continue to got down 7, over 2 if needed.
Step-by-step explanation:
A person standing on a moving walkway travels 90 feet in 30 seconds. What equation represents this relationship? How many feet will the person travel in 10 seconds?
A. y = 3x; 30 feet
B. y = 9x; 90 feet
C. y = 1/3x; 3 feet
D. y = 3x; 3 feet
Answer:
What equation represents this relationship? How many feet will the person travel in 10 seconds? A. y = 3x; 30
Another way to write (3x-4)^2?
What is the m
R
(x + 2)°
(3x – 6°
S
Q
P
m
If a ray QT bisects ZPQR, what will be the measure of one of the resulting angles?
The value of measure ∠RQS would be,
⇒ ∠RQS = 48°
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
A ray QT bisects ∠PQR.
Now, We get;
⇒ ∠PQR + ∠RQS = 180°
⇒ (3x - 6) + (x + 2) = 180
⇒ 4x - 4 = 180
⇒ 4x = 184
⇒ x = 46
Thus, The value of measure ∠RQS would be,
⇒ ∠RQS = x + 2 = 46 + 2 = 48°
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Jackson can lay 6000ft of tile in 3 hours.
What is Jackson's rate?
A.200ft/h
B.1500ft/h
C.2000
D.18000f/h
Answer:
It's 2000ft/h
Step-by-step explanation:
6000/3 = 1 hour rate
I can't solve this problem: 47 x 98= ( ? x 47)-(2 x 47)
Answer:
The answer to your question is:
2 and -49
Step-by-step explanation:
2 x -49 = -98
2 + (-49) = -47
x2 - 47x - 98 = 0
The solution to factor the quadratic equation above is:
(X + 2 ) (X - 49)
Since 2 and -49 multiply to -98 and add up -47, you know that the following is true:
x2 - 47x - 98 = (X + 2 ) (X - 49)
?+7,785= $12,603
please help, I'm completely lost.
Answer:4818
Step-by-step explanation:7785-12603=4818
Bags of flour at a local grocery store have a mean weight of 83 ounces with a standard deviation of 2 ounces. Which weight represents the 65th percentile?
A.82.2 ounces
B.82.5 ounces
C.83.5 ounces
D.83.8 ounces
Answer:
D.83.8 ounces
Step-by-step explanation:
The z score for 65th percentile = 0.385
Mean weight of 83 ounces with a standard deviation of 2 ounces
The formula for calculating a z-score is z = (x-μ)/σ
where x is the raw score
μ is the population mean
σ is the population standard deviation
x = ??
Hence:
0.385 = (x - 83)/2
Cross Multiply
0.385 × 2 = x - 83
0.77 = x - 83
x = 83 + 0.77
x = 83.77 ounces
Approximately = 83.8 ounces
Answer:
D.83.8 ounces
Step-by-step explanation:
The z score for 65th percentile = 0.385
Mean weight of 83 ounces with a standard deviation of 2 ounces
The formula for calculating a z-score is z = (x-μ)/σ
where x is the raw score
μ is the population mean
σ is the population standard deviation
x = ??
Hence:
0.385 = (x - 83)/2
Cross Multiply
0.385 × 2 = x - 83
0.77 = x - 83
x = 83 + 0.77
x = 83.77 ounces
Approximately = 83.8 ounces
what is the product of 2(-4)
Answer:
-8
Step-by-step explanation:
First, write it out in standard form:
2 x (-4)
Then multiply!
Answer:
-8
Step-by-step explanation:
it is basically 2 x -4 and a negative times a positive is a negative which makes it -8
Andrew and Connie are both teachers at their local school. There are 15 female teachers at the school and 35 male teachers. What is the ratio of male to female teachers?
Answer:
7:3
Step-by-step explanation:
Keith 1,342 cupcake rounds to 1,300 and joe 1,347 cupcake rounds to 1,350 who round to the nearest hundred?
Answer:
Keith
Step-by-step explanation:
When you are rounding to the nearest hundred it would NOT include a tens or ones value. So in this case 1,300 would be correct.
Hope that helps and have a great day!
if i get £20 pounds at week and I need £470 pounds how many weeks do I have to save for
Answer:
23.5 weeks.
Step-by-step explanation:
470/20 is 23.5
Answer:
23.5 weeks or 24 weeks
Step-by-step explanation:
470/20 = 23.5
If you are not rounding to the next week, then its 23.5.
If you are rounding to the next week, then it should be 24.
blank times blank = 1.5
Answer:
12
Step-by-step explanation:
Answer:
Your answer is:
1) 0.75 * 2
2) 0.3 * 5
Step-by-step explanation:
Hope any of these helped you : )
8/12 the equibalent fraction
Answer:
An equivalent fraction for 8/12 could be 2/3
Step-by-step explanation:
It could be 2/3 because I divided 8 by 2 which is 4 and 12 by 2 which is 6 and the answer for that is 4/6 as a fraction, now notice how we could still divide the number by 2, so 4 divided by 2 is 2 and 6 divided by 2 is 3. So the answer as a fraction would be 2/3.
-Hope this helps
An equivalent fraction of 8/12 could be 2/3
What is the value of the unknown in the equation 3m + 7 = - 23?
Answer:
Step-by-step explanation:
3m + 7 = - 23
we pass the -7 to the right with a positive sign
3m = -23 - 7
we perform the sum of negative numbers
3m = -30
we pass the -3 to the right to divide
m = -30/3
we perform the division
m = -10