Answer:
2
Step-by-step explanation:
Common Sense
The number of different ways committees can be formed will be 21.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
A committee is to consist of two members.
If there are seven people available to serve on the committee.
If two people are selected from the group of seven people.
Then the number of different ways committees can be formed will be
⇒ ⁷C₂
⇒ 7! / [(7 – 2)! x 2!]
⇒ 7! / [5! x 2!]
⇒ 7 x 6 x 5! / [5! x 2 x 1]
⇒ 7 x 6 / 2
⇒ 7 x 3
⇒ 21
Thus, the number of different ways committees can be formed will be 21.
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Can someone help me find x ?
Answer:
x = 15
Step-by-step explanation:
Apply the keg rule to find x. The keg rule is given as:
Hypotenuse / leg = leg / part of the hypotenuse directly under the leg
Hypotenuse = 25
Leg = x
Part of the hypotenuse directly under the leg = 25 - 16 = 9
Plug in the values
25/x = x/9
Cross multiply
x*x = 25*9
x² = 225
x = √225
x = 15
what is the equation of this line?
Answer:
I'm certain it's -x + 2
Step-by-step explanation:
The gradient is negative, and so it cannot have a positive m value. The Y intercept is at +2.
What is the answer to 9 - x - 5x = -9
Answer:
x=3
Step-by-step explanation:
Answer:
so 9 - x - 5x = 9 because the 9 means x so its making the number negative. so - 9 and the 9 at the end = 9 don't worry about that bc you can subtract 5x
Step-by-step explanation: so what I'm saying is theirs many ways to solve that its just you don't know the level or something similar to that I'm only helping because I'm bored btw.
Please answer it due tonight
When Diego's phone is fully charged, it will last 15 hours. How much time does he
have left when there is 30% charge remaining?
Line
Answer:
help
Step-by-step explanation:
Robby age 4 potato chips. Jimmy ate p times as many potato chips. Which expression shows how many potato chips jimmy ate?
Answer:
The answer is 4 x p.
Hope this helps! :)
need help asap please!!
Answer:
VX = 37
Step-by-step explanation:
Since VX is the midsegment, based on the midsegment theorem we would have:
VX = ½(UY)
VX = s - 37
UY = s
Plug in the values
s - 37 = ½(s)
Multiply both sides by 2
2(s - 37) = s
2s - 74 = s
Collect like terms
2s - s = 74
s = 74
VX = s - 37
Plug in the value of s
VX = 74 - 37 = 37
Find the missing side or angle.
Round to the nearest tenth.
A=18°
B= 28°
b=100
a=[ ? ]
Answer: a = [ 65.8]
Step-by-step explanation:
A = 18°
B = 28°
b = 100
a = [ x ]
[tex]\dfrac{100}{sin \: 28^{o} } =\dfrac{x}{sin \: 18^{o} } \\\\\dfrac{100}{0.4694715628} =\dfrac{x}{0.3090169944} \\\\x=\dfrac{0.3090169944 \cdot 100}{0.469715628} \\\\x=65.78810\dots \\x \approx 65.8[/tex]
what is the answer 2x5-5=
Find x, y, and z:
x =
y =
z =
Answer:
x=81 degrees
y=132 degrees
z=60 degrees
Answer:
x=81 degrees
y=132 degrees
z=60 degrees
xavier made 22 more baskets than Jared this basketball season. Write an expression for the number of basket xavier made this season.
Answer:
J+22=X
Step-by-step explanation:
J represents Jared and since Xavier made 22 more baskets than Jared you add 22 onto Jared's amount of baskets to figure out how many Xavier made.
2x+2+2x-17=180 what's x?
Answer:
x= 48.75
Step-by-step explanation:
Add like terms
2x+2x and
2-17
4x-15=180
Now subtract -15 to both sides get x by itself
4x-15+15=180+15
4x=195
Now divide by four to each side to get x by itself again
4x/4 = 195/4
x=48.75
Answer:
x=48.75
Step-by-step explanation:
2x+2+2x-17=180(Group like terms)
2x+2x+2-17=180
4x-15=180(Add 15 on both sides)
4x-15+15=180+15
4x=195(Divide both sides by 4 to find the value of x)
x=48.75
Pls help extra points and mark brainlist easy reading
Answer: Its they second or last one but the second one sound more clear
Step-by-step explanation:
-8x = 140
Solve for x
Answer:
x = -17.5Explanation:
-8x = 140
Divide both sides by -8-8x / -8 = 140 / -8
x = ⁻³⁵⁄₂
Simplifyx = -17.5
Answer:
-17.5
Step-by-step explanation:
140 divided by -8=-17.5
x=-17.5
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)
μ = 40; σ = 16
P(50 ≤ x ≤ 70) =______.
Answer:
0.2356
Step-by-step explanation:
Given that:
μ = 40; σ = 16
P(50 ≤ x ≤ 70) :
Using the Zscore formula :
(x - μ) / σ
P((50 - 40) / 16 ≤ Z ≤ (70 - 40) / 16)
P(50 ≤ x ≤ 70) = P(0.625 ≤ Z ≤ 1.875)
Using the Z probability calculator :
P(Z ≤ 1.875) - P(Z ≤ 0.625) -
0.9696 - 0.73401
= 0.23559
= 0.2356
Help me with this please with 40 points!!!
Answer:
4
Step-by-step explanation:
How many proper subsets does the set T= {x,y,z} have?
Answer:
Total Proper Subsets = 2ⁿ - 1 = 2³ -1 =8-1 =7
Step-by-step explanation:
Basically the formula for,
No of subsets = 2ⁿ
Where n is number of elements in a set. As one subset is improper which is equal to the set itself so we have to find proper subsets which are = 2ⁿ - 1.
Which expression is NOT equivalent to
2^3•5•7
A 2•2•2•5•7
B 2^3•35
C 2•3•5•7
D 8•5•7
Answer:
its c or a
Step-by-step explanation:
A self-serve frozen yogurt store made these graphs to study the data collected about its customers' purchases. Which statement is true?
Answer:
C (yogurt sales had a decresing trend)
Step-by-step explanation:
so because if you look over other staistics they are not true and this one is
The yogurt sales has been decreasing in the last four months of 2011, the correct option is C.
What is a Graph?Graph is a mathematical representation of relation between two objects.
The pie chart, line graph and the data table has to be studies to answer about the trend that is followed for the customer purchases of ice creams and yogurt.
The yogurt sales has been decreasing in the last four months of 2011.
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Which equation represents the relationship between x and y in the table below?
x 0,2,4,6
y 1, 2, 3, 4
a. y=1/2x+1
b. y=x+1
c. y=x-2
d. y=-1/2x+1
Answer:
a
Step-by-step explanation:
if it’s wrong i’ll change it when i’m done with this quiz
A psychologist wants to know if the difficulty of a task influences our estimate of how long we spend working at it. She designs two sets of mazes that subjects can work through on a computer. Once set has easy mazes and the other has hard mazes. Subjects work until told to stop (after 6 minutes, but subjects do not know this). They are then asked to estimate how long they worked. The psychologist has 30 students available to serve as subjects.
Describe an experiment using a completely randomized design to learn the effect of difficulty on estimated time.
Solution :
It is given that a psychologist wants to determine the difficulty of the task influences on the estimate of how long people spend working on it.
Now we have to describe a experiment by using a completely randomized design and learn the effect of the difficulty on the estimated time is by randomly assigning 15 students to a Group 1 of easy mazes and other 15 students to the second group 2 of hard mazes. And then we compare the time estimates of the two groups.
helppppppppppppppppp
What is 8^6 ÷8 simplified
8^6 is actually 8×8×8×8×8×8.
So if you divide this by 8, you get 8^5 or 8×8×8×8×8
Well...
8×8×8×8×8=32768
define function. What are five representations of functions? Give an example of each.
Answer:
A function is a relationship between two variables, such that one variable is determined by the other variable.
A function can be represented verbally. For example, the circumference of a square is four times one of its sides.
A function can be represented algebraically. For example, 3x+6 3 x + 6 .
A function can be represented numerically.
A function can be represented graphically.
Step-by-step explanation:
The function is defined as a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
We need to define function.
What is a function?Functions are the fundamental part of calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters such as f, g, and h. The domain is defined as the set of all the values that the function can input while it can be defined. The range is all the values that come out as the output of the function involved. Co-domain is the set of values that have the potential of coming out as outputs of a function.
Different types of a function:
The types of functions have been classified into the following four types.
Based on the set of elementsBased on equationBased on rangeBased on domainRepresentation of functions:
There are three different forms of representation of functions.
Venn Diagram: The Venn diagram is an important format for representing the function. The Venn diagrams are usually presented as two circles with arrows connecting the element in each of the circles. The domain is presented in one circle and the range values are presented in another circle. And the function defines the arrows, and how the arrows connect the different elements in the two circles.
Graphical Form: Functions are easy to understand if they are represented in the graphical form with the help of the coordinate axes. Representing the function in the graphical form helps us to understand the changing behaviour of the functions if the function is increasing or decreasing. The domain of the function - the x value is represented along the x-axis, and the range or the f(x) value of the function is plotted with respect to the y-axis.
Roster Form: Roster notation of a set is a simple mathematical representation of the set in mathematical form. The domain and range of the function are represented in flower brackets with the first element of a pair representing the domain and the second element representing the range.
Therefore, the function is defined as a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
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A population numbers 19,000 organisms initially and grows by 4.8% each year. Suppose P represents population and t represents the number of years of growth. An exponential model for the population can be written in the form P =aâb^t where p =_________
Answer:
The exponential model for the population is [tex]P(t) = 19000e^{0.048t}[/tex]
Step-by-step explanation:
The exponential model for the population has the following format:
[tex]P(t) = P(0)e^{rt}[/tex]
In which P(0) is the initial population and r is the growth rate, as a decimal.
A population numbers 19,000 organisms initially and grows by 4.8% each year.
This means that [tex]P(0) = 19000, r = 0.048[/tex]
So
[tex]P(t) = P(0)e^{rt}[/tex]
[tex]P(t) = 19000e^{0.048t}[/tex]
The exponential model for the population is [tex]P(t) = 19000e^{0.048t}[/tex]
Which equation can be used to find the number that can be added to 410 to get 946?
A
- 410 = 946
B
2 + 410 - 946
с
410 - 2 = 946
D
410 + 946
2
Answer:
its could be 946-410= 536 and 410+536=946
Is x= 1/2 a solution of the equation 3(x+1)=3x+3
Answer:
Yes, x = 1/2 is a solution
Step-by-step explanation:
To see if it is a solution, plug it into the equation:
3(x + 1) = 3x + 3
3(0.5 + 1) = 3(0.5) + 3
3(1.5) = 1.5 + 3
4.5 = 4.5
Since this is true, x = 1/2 is a solution of the equation.
Is 7/8 a rational or irrational
Answer:
7/8 is rational ;)(
Step-by-step explanation:
Answer:
Rational
Step-by-step explanation:
7/8 is a ratio of whole numbers, which makes it rational.
Rational numbers are numbers that can be expressed as a fraction
Irrational numbers are numbers that cannot be expressed as a fraction
What is always true about the net of a prism? O It contains 0 triangles. o It contains O or 2 triangles. olt contains 3 or more triangles. O It contains 4 or more triangles. HURRY ITS A TEST
Answer:
It contains 0 or 2 triangles.
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 4 ft long with a diameter of 2.2 ft. Suppose oil is drained at a
rate of 1.5 per minute. If the tank starts completely full, how many minutes will it take to empty the tank?
Use the value 3.14 for, and round your answer to the nearest minute. Do not round any intermediate computations.
Answer:
[tex]8\:\mathrm{minutes}[/tex]
Step-by-step explanation:
The volume of a cylinder is given as:
[tex]r^2\cdot\pi\cdot h[/tex]
Since the diameter is [tex]2.2[/tex], the radius is [tex]\frac{2.2}{2}=1.1[/tex].
Therefore, the volume of this cylinder is:
[tex]1.1^2\cdot 3.14\cdot 4=15.1976\:\mathrm{ft^3}[/tex], using [tex]\pi=3.14[/tex] as requested in the problem.
Since the tank is emptied at a constant rate of [tex]1.5\:\mathrm{ft^3\:per\:minute}[/tex], it will take
[tex]\frac{15.1976}{1.5}=7.5988=\fbox{$8\:\mathrm{minutes}$}[/tex] to empty the tank.