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

Answer 1

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 2

Answer:

D. 35

Hope this helps!

Step-by-step explanation:

What Is The Number Of Possible Combinations Of 7 Objects Taken 4 At A Time?OA. 5,040OB. 840OC. 210OD.

Related Questions

Which of the following terms is defined as 1/sin?

Answers

Answer: D) cosecant

• 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)

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?

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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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.

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 functions

Piecewise 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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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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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]

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!)

I NEED HELP PLEASE OMGOGMOMOG

Answers

Answer

c 

I'm not sure how to explain my bad

Multiplying a fraction by a repeating decimal will give you a rational answer.

Fractions are rational and repeating decimals are rational.

Rational + rational = rational

. 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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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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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

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.

In the figure below, if line r is parallel to line s, m

Answers

This statement is incomplete. I cannot answer that

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

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°

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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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

The slope of the graph

14-7/4-2=7/2=3.5

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.


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:

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 sector

The 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:

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]

______________________

Solution :

2(xy - 7)

2((-1×3) - 7)

2(-3 - 7)

2 × -10

-20

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

Solve for x.
2 In ( x + 6 ) = 10​

Answers

Corrected question :

Solve for x. 2 ( x + 6 ) = 10

Solution :-

>> 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]




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 cm

Step-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

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

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).

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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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 + 3

If f(x) = 0

x/2 + 3 = 0

x/2 = -3

x = -6

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!

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:

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