What is the number of possible combinations of 7 objects taken 4 at a time?
OA. 5,040
OB. 840
OC. 210
OD. 35
Answers
The number of possible combinations of 7 objects taken 4 at a time is 35. Then the correct option is D.
What is the combination?Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.
The number of possible combinations of 7 objects taken 4 at a time.
so, the number of the combination is given as
[tex]^7C_4 = \dfrac{7!}{4!(7-4)!} \\\\\\^7C_4 = \dfrac{7!}{4!(3)!} \\\\\\^7C_4 = \dfrac{7 \times 6\times 5\times 4!}{4!(3\times 2)} \\\\\\^7C_4 = 35[/tex]
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Answer:
D. 35
Hope this helps!
Step-by-step explanation:
Related Questions
Im just very confused. This is probably easy but im lazy
Answers
Answer:
yes
Step-by-step explanation:
and yes
Answer:
The answer is 1.
Step-by-step explanation:
If you look closely at the other answers, they are not alike as 1.
(HOPE THIS HELPED!)
HELP ASAP/NOW....NO LINKS OR JOKING
for which value of x is F(x)=0
A. 3
B. -5
C. -3
D. -6
Answers
Answer:
D) -6
Explanation:
f(x) = 0 suggests the x value which will make the function zero.
Find slope:
⇒ (y₂ - y₁)/(x₂-x₁)
⇒ (2 - 1)/(-2-(-4))
⇒ 1/2
Equation:
⇒ y - 2 = 1/2(x - (-2))
⇒ y = x/2 + 3
f(x) = x/2 + 3If f(x) = 0
x/2 + 3 = 0
x/2 = -3
x = -6
Name
Two-Variable Statistics
Relationship between Two Categorical Variables - Marginal and Joint Relative Frequency -
Part 2
Warm Up
Complete the table and calculate the percent for each total.
Answers
The completed table is given below,
the percentage of girls in the class is 47.62%,
the percentage of boys in the class is (100-47.62)% = 52.38%,
the percentage of students that love Math is 36.5%,
the percentage of students that love Reading is 22%, and
the percentage of students that love Science is 41.27%
To make comparison and statistical analysis easier, numerical data is systematically and logically represented in tabulations as rows and columns. Grouping relevant data together makes comparison easier and aids in statistical analysis and interpretation.
To put it another way, tabulation is the process of organizing data and presenting it in a tabular format. Depending on the type of categorization, it might be double, complicated, or simple.
The below table yields that
The total number of students is 315
The fraction of girls in the class is 150/315 = 0.4762
So, the percentage of girls in the class is 47.62%
Hence the percentage of boys in the class is (100-47.62)% = 52.38%
The fraction of students that love Math is 115/315 = 0.365
So, the percentage of students that love Math is 36.5%
The fraction of students that love Reading is 70/315 = 0.22
So, the percentage of students that love Reading is 22%
The fraction of students that love Science is 130/315 = 0.4127
So, the percentage of students that love Science is 41.27%
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The parent function f(x)=√x is transformed to g(x) = f(-x) - 2. Which graph represents g(x)?
Answers
Using translation concepts, the graph of g(x) is given at the end of the question.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The parent function is given by:
[tex]f(x) = \sqrt{x}[/tex].
With the changes, we have that:
f(-x) is the function reflected over the y-axis.f(-x) - 2 is the function reflected over the y-axis and shifted 2 units down.Hence the function will be given by:
[tex]f(x) = \sqrt{-x} - 2[/tex].
The graph is given at the end of the answer.
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Answer:
Step-by-step explanation:
I NEED HELP PLEASE OMGOGMOMOG
Answers
Answer
c
I'm not sure how to explain my bad
Fractions are rational and repeating decimals are rational.
Rational + rational = rational
What do the differences between the points (as shown on the graph) represent?
On a coordinate plane, point B is at (2, 7) and point D is at (4, 14).
Answers
14-7/4-2=7/2=3.5
If a = 7 - 4√3, find the value of a + 1/a
Answers
Answer:
Step-by-step explanation:
To calculate a+1/a, we first need to calculate for a.
a = 7 - 4 * [tex]\sqrt[2]{3}[/tex]
square root of 3 = 1.73
a = 7 - 4 * 1.73
a = 7 - 6.9
a = 0.1
0.1 + 1 / 0.1 = 0.1 + 10 = 10.1
Now, in case 4 wasn't being multiplied with the square root of 3, and instead, it was four root of 3, I am gonna do the calculations again:
a = 7 - [tex]\sqrt[4]{3}[/tex]
a = 7 - 1.31
a = 5.69
5.69 + 1 / 5.69 = 5.69 + 0.17 = 5.86
Hope I Helped!
The frequency table shows the results asking people how many hours they spend online per week
Answers
The histogram is attached with the answer.
What is a Histogram ?It is a mathematical representation of data in a bar shaped graph , the range is user defined.
The histogram is drawn and the shape of the histogram is left skewed as the peak of the graph lies to the left of the centre.
The histogram is attached with the answer.
The complete question is
the frequency table shows the results of a survey that asked people how many hours they spend working in the yard per month. display the data in a histogram. describe the shape of the distribution
The data is attached with the answer.
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Solve for x.
2 In ( x + 6 ) = 10
Answers
Corrected question :
Solve for x. 2 ( x + 6 ) = 10Solution :-
>> 2 ( x + 6 ) = 10
Multiplying 2 into (x + 6),
>> 2 × (x + 6) = 10
>> 2x + 12 = 10
Transposing 12 to R.H.S. (Remember that sign would be changed to negative),
>> 2x = 10 - 12
>> 2x = -2
Dividing them,
>> x = -2 / 2
>> x = -1
Answer:
[tex]\displaystyle{x=e^5-6}[/tex]
Step-by-step explanation:
Given the equation:
[tex]\displaystyle{2\ln (x+6)=10}[/tex]
Divide both sides by 2:
[tex]\displaystyle{\ln (x+6)=5}[/tex]
Convert to exponential form using the property of:
[tex]\displaystyle{\ln M = N \to e^N = M}[/tex]
Henceforth, we will have [tex]\displaystyle{e^5=x+6}[/tex] then subtract both sides by 6:
[tex]\displaystyle{x=e^5-6}[/tex]
A building 190 feet tall casts a 90 foot long shadow. if a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the person's eyes to the top of the building
Answers
Answer:
About 64.65 degrees
Step-by-step explanation:
[tex] \tan(x) = \frac{190}{90} [/tex]
[tex]x = { \tan}^{ - 1} \frac{190}{90} = 64.65[/tex]
Make sure your calculator is in degree mode.
14x - 12 = 16
PLS HELP HURRY
Answers
Answer:
[tex]\fbox {x = 2}[/tex]
Step-by-step explanation:
Given :
14x - 12 = 16
Add 12 to each side :
14x - 12 + 12 = 16 + 12
14x = 28
Divide each side by 14 :
14x/14 = 28/14
x = 2
Why? Well, 14 x 2 = 28. 28 - 12 gives us 16, and would therefore prove the equation to be true. You could also solve this by adding 16 and 12 to get a total of 28. Then, you could have the expression 14x = 28. From there, you could divide 28 by 14 to get that, as mentioned earlier, x = 2.
Which best explains the formula? the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector. the central angle measure of the sector divided by the total angle measure of a circle multiplied by the circumference of the circle will yield the area of the sector. the central angle measure of the sector multiplied by the area of the circle will yield the area of the sector. the central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector.
Answers
The sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.
Area of a sectorThe coloured portion of the circle is known as a sector. The formula for calculating the area of a sector is given as:
Area of a sector = θ/360 * πr²
where
θ is the central angle
πr² represents the area of a circle.
Therefore the best statement that explains the formula is expressed as the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.
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Answer:
Its A edge 2023
Step-by-step explanation:
Angelina's family owns a mini-golf course. When discussing the business with a customer, she explains there is a relationship between the number of visitors and
hole-in-one winners. If x is the number of visitors and y is the number of winners, which conclusion is correct?
A. The ordered pair (-3, 6) is viable.
B. The ordered pair (7, 2) is viable.
C. The ordered pair (15,-7) is viable.
D. The ordered pair (18,3) in non viable
Answers
The ordered pair (7,2) is viable and Option B is the correct answer.
What is Relationship ?Relationship between variables defines the way one variable is dependent upon the other variable.
It is given that x is the number of visitors and y is the number of winners,
It has to be seen and chosen that which ordered pair makes sense
The ordered pair is viable if the no. of visitor is positive and more than the number of winners.
Therefore ordered pair (7,2) is viable and Option B is the correct answer.
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PLEASE HELP
If the discriminant of an equation is zero, which of the following is true of the equation?
A. It has one complex solution
B. It has two complex solutions
C. It has one real solutions
D. It has two real solutions
Answers
Considering the discriminant of zero for a quadratic equation, the correct option is given by:
C. It has one real solutions.
What is the discriminant of a quadratic equation and how does it influence the solutions?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The discriminant is:
[tex]\Delta = b^2 - 4ac[/tex]
The solutions are as follows:
If [tex]\mathbf{\Delta > 0}[/tex], and it is a perfect square, it has 2 rational solutions.If [tex]\mathbf{\Delta > 0}[/tex], and it is not a perfect square, it has 2 irrational solutions.If [tex]\mathbf{\Delta = 0}[/tex], it has 1 rational solutions.If [tex]\mathbf{\Delta < 0}[/tex], it has 2 complex solutions.Discriminant of zero is [tex]\Delta = 0[/tex], hence option C is correct.
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Given the function f(x) below, evaluate 3f(-2) + f(1).
if z ≤-3
3z²-2z if -3
-2√2-1
if x > 0
7x-2
f(x) = 3x² - 2x
pls help
Answers
The value of the expression 3f(-2) + f(1) is 45
Piecewise functionsPiecewise functions are functions that has two or more equations. They can consists of parabola and straight line.
From the equations, the point where x is -2 is f(x) = 3x^2 - 2x
f(-2) = 3(-2)^2 - 2(-2)
f(-2) = 12 + 4
f(-2) = 16
Similarly the point where x = 1 is -2√x - 1
f(1) = -2√1 - 1
f(1) = -2 - 1
f(1) = -3
Substitute
3f(-2) + f(1) = 3(16) +(-3)
3f(-2) + f(1) = 48 - 3
3f(-2) + f(1) = 45
Hence the value of the expression 3f(-2) + f(1) is 45
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if x = 5 and y = 2 , work out the value of a) 3x+y b) 2x squared c) ( x-y) 2 squared out of the brackets
Answers
Answer:
a) 17
b) 50
c) 6
Step-by-step explanation:
a) 3x+y
3(5)+2
15+2
17
b) 2x²= 2×5²
2×25
50
c) (x-y)2= (5-2)2
(3)2
3×2
6
. An elevator in a building starts with five passengers and stops at seven floors. Say every passenger is equally likely to get off at each floor and all the passengers leave independently of each other. a. How many ways are there for the passengers to be assigned a floor? b. How many ways are there for the passengers to be assigned a floor but no two passengers are on the same floor?
Answers
There are 16807 number of ways the passengers to be assigned a floor and there are 2520 number of ways the passengers to be assigned a floor but no two passengers are on the same floor.
Given that an elevator starts with five passengers and stops at the seven floors of a building.
From the given information, the total number of floors n=7.
The number of passengers r = 5.
(a) Compute the number of ways that 5 passengers can be assigned to seven floors.
Here, repetition is allowed.
From the known information, if r numbers are selected from n number of observations then the total number of observations that can be drawn from n number of observations is [tex]n^r[/tex].
If 5 passengers can be assigned to seven floors is 7⁵ = 16807.
(b) Compute the number of ways that the passengers to be assigned a floor but no two passengers are on the same floor.
Here, repetition is not allowed.
If 5 passengers can be assigned to seven floors but no two passengers are on the same floor is 7x6x5x4x3 = 2520.
Hence, the number of ways that 5 passengers can be assigned to seven floors is 16807, and the number of ways that the passengers to be assigned a floor but no two passengers are on the same floor is 2520.
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For some given data, if Z-M = 2 and
x= 33.5, then Z =
(a) 35.5 (b) 36.5 (c) 32.5
(d) 34.5
Answers
Answer:
Not enough information. See below.
Step-by-step explanation:
Z-M = 2
x= 33.5, then Z = ?
How does x relate to Z or M? Is the Z-M= 2 equation correct? Or is it M=33.5?
Rita needs to make a total of 60 deliveries this week. So far she has completed 27 of them. What percentage of her total deliveries has Rita completed?
Answers
Answer:
35
Step-by-step explanation:
Percent= (part ÷ whole)x100=21/60x100=(0.35)x100=35%
Find the value of x, given that the two triangles are similar.
Answers
Answer:
10.5 is the correct answer.
Step-by-step explanation:
Due to the fact Triangle CAB has "6" as its length, and Triangle FDE has "2" as its length, you multiply 3.5 and 3.
3.5 x 3=10.5
2 x 3=6
3.5/2=10.5/6, so the answer is 10.5.
Answer:
x = 10.5 cmStep-by-step explanation:
Find the value of x, given that the two triangles are similar.
Given that the two triangles are similar we can solve with a proportion
6 : 2 = x : 3.5
x = 6 * 3.5 : 2
x = 21 : 2
x = 10.5
The number 1.41421356 is a rational or irrational number
Answers
Answer:
The real numbers include all the rational numbers, such as the integer −5 and the fraction 4/3, and all the irrational numbers, such as 2 (1.41421356..., the square root of 2, an irrational algebraic number).
What is m2?
What is m<1?
Answers
Answer:
∠ 2 = 75° , ∠ 1 = 105°
Step-by-step explanation:
∠ 2 and 75° are alternate angles and are congruent , then
∠ 2 = 75°
∠ 1 and ∠ 2 are a linear pair and sum to 180° , that is
∠ 1 + ∠ 2 = 180°
∠ 1 + 75° = 180° ( subtract 75° from both sides )
∠ 1 = 105°
jackie brought 9 plants
Answers
Answer:
I think its the thrid one because it is the only one with the correct top equation(I can't see the rest)
Step-by-step explanation:
PLEASE HELP ASAP!!!!!!
Right △EFG has its right angle at F, EG=8, and FG=2.
What is the value of the trigonometric ratio of an angle of the triangle?
Drag a value to each box to match the trigonometric ratio with its value.
TanE=
SinG=
SecG=
(4,1/4, 4√15/15, √15/15, √15/4)
(PLEASE ANSWER ASAP, ALSO IF YOU KNOW ANY OF THE OTHER ANSWERS TO THE PRE-CALUCLUS-TRIGONOMETRY SEMESTER TEST 6.04 PLEASE HELP!)
Answers
The values of the trigonometric ratio is 1/4 , √15 / 4 , 4 .
What are Trigonometric Ratios ?When a Triangle is a right angled Triangle then the ratios used to determine the sides and the angles of the triangle are called Trigonometric Ratio.
It is given that in triangle EFG , right angled at F ,
EG = 8 , FG = 2
By Pythagoras theorem
The length of EF is
8² = 2² + EF²
EF = √(64-4) = √60 = 2√15
The value of the trigonometric ratios is
sin E = Perpendicular / Hypotenuse
sin E = 2 / 8 = 1/4
sin G = 2√15 / 8 = √15 / 4
sec G = 1 / cos G = Hypotenuse / Base = 8 / 2 = 4
Therefore the values of the trigonometric ratio is 1/4 , √15 / 4 , 4 .
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In the figure below, if line r is parallel to line s, m
Answers
Answer:
Step-by-step explanation:
I'm not sure exactly what you're trying to ask
but r and s are parallel
and I'm assuming the 3rd line is line m, line m is not parallel to any line
and angles A and B are equal
does someone mind helping me with this question? Thank you!
Answers
Answer:
[tex]\bf -20[/tex]Step-by-step explanation:
[tex]\bf 2(xy-7)[/tex] [tex]\bf when[/tex] [tex]\bf x=-1/y=3[/tex]
Substitute with x and y with 3:-
[tex]\bf 2\left(\left(-1\right)(3)-7\right)[/tex]
First, Multiply -1 and 3 = -3
[tex]\bf 2(-3-7)[/tex]
Subtract 7 from -3 = -10
[tex]\bf 2(-10)[/tex]
Multiply 2 and -10 = -20
[tex]\bf -20[/tex]
______________________Add2√3+√5 and√3 -3√5
Answers
Answer:
[tex] \sqrt[2]{3} + \sqrt{5} = \sqrt[2]{8} [/tex]
[tex] \sqrt{3 } - \sqrt[3]{5} = \sqrt[3]{2} [/tex]
answer?...................
Answers
Step-by-step explanation:
please mark me as brainlest
Answer:
135
Step-by-step explanation:
2x²/x + x(100 - 15x)
If x = 5 ;
2(5)²/5 + 5(100 - 15×5)
= 2×25/5 + 5(100 - 75)
= 2 × 5 + 5 × 25
= 10 + 125
= 135
Which of the following terms is defined as 1/sin?
Answers
• cosec θ = 1/sin θ
• sin θ = 1/cosec θ
Answer: cosecant
Formula's are:
Secant:
1/cos(x) = sec(x)
Cosecant:
1/sin(x) = cosec(x)
Cotangent:
1/tan(x) = cos(x)/sin(x) = cot(x)
Which list is in order from least to greatest?
Answers
Answer:
The first option.
Explanation:
Since these numbers are given in scientific notation, we must first look at the exponent to determine whether or not it's big or small. Negative exponents are less, so we start with that. Immediately, that eliminates the second and third options as -8 is less than -6 and 3. The last two numbers given in the first and last options, however, both have 3 as the exponent. Now, we look at the number given in front. 2.5 is less than 7, so we know that the first option is in order from least to greatest.