Can someone help please

To determine the number of ways to form a committee of 6 students from 30 council members, we use the combination formula C(30, 6), which yields 593,775 different combinations.

The question asks how many possible committees of 6 students can be formed from a group of 30 students on the student council. This is a combinatorial problem and can be solved using the combination formula which is given by C(n, k) = n! / (k! * (n - k)!), where C(n, k) is the number of combinations, n is the total number of items, and k is the number of items to choose. So to answer the question, we must calculate C(30, 6).

Calculating C(30, 6), we have:

C(30, 6) = 30! / (6! * (30 - 6)!)

C(30, 6) = 30! / (6! * 24!)

C(30, 6) = (30 × 29 × 28 × 27 × 26 × 25) / (6 × 5 × 4 × 3 × 2 × 1)

C(30, 6) = 593,775

There are 593,775 different ways to form a committee of 6 students from a student council of 30 members.

Answer:

40

Step-by-step explanation:

Pythagorean

Answer:

221

Step-by-step explanation:

The blade covers an area of 235.714 square inches in one swipe.

In this question, we are to calculate the area that is covered by blade cover of the windshield wiper blade in 1 swipe.

To calculate this, we shall be using the formula for the area of the sector. The sector in this case subtends an angle of 120 degrees at the centre.

Mathematically, the area covered by the blade in one swipe is

A = θ/360 * pi * r^2

where θ = 120 degrees and r = 15 inch

A = 120/360 * 22/7 * 15^2

= 1/3 * 22/7 * 225 = 22 * 75/7 = 235.714 square inches

Answer:

3

Step-by-step explanation:

Answer:

314

Step-by-step explanation:

volume of cone = 1/3 * pi * r^2 * h = 1/3 * pi * 5^2 * 12

Answer: The two answers are 1.08T and (1 + [tex]\frac{8}{100}[/tex] )T.

Step-by-step explanation:

Try multiplying 1.08 times any random number. If you use 5,  1.08 times 5 gives you 5.4.  This makes sense. Solve the other other expression as well and substitute T with the SAME number that you used before (5). Hope that helps!

Answer:its not showing me the picture

Step-by-step explanation:

Answer:

1.32

4. 35

5. 400

7. 225

8. 260

10. 77

11. 72

Step-by-step explanation:

Answer:

Step-by-step  expthe second term is −5. We include ... the like terms are 2x and 4x, 3y and −5y. What do we do ... b) What number is the coefficient of y ? −4. c) What ... m) 4x² − 5x² + x² = 0. Problem 5. ... d) (5xy − 3x + 2y − 1) − (2xy − 7x − 8y + 6) ... We can therefore state the following rule for subtraction. ... Subtract x² − 5x + 7 from 3x² − 8x − 2.lanation:

Answer: D

In(2x^5/y)

Step-by-step explanation:

1,000,000 is 1,000 times greater then 1,000

Step-by-step explanation:

If you multiply 1,000x1,000 you'll get an answer of 1,000,000

Therefore, 1,000,000 is going to be 1,000 times greater

Answer:

slope = 1

Step-by-step explanation:

(3,0)   ; (0, -3)

[tex]slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-3-0}{0-3}\\\\=\frac{-3}{-3}\\\\=1[/tex]

Answer:

Effective annual yield = 0.05094534 or 5.094%

Step-by-step explanation:

Given:

Rate of interest (r) = 5% = 0.05

Interest = compounded quarterly

Find:

Effective annual yield = Y

Computation:

[tex]Y=(1+\frac{r}{n} )^n-1\\\\Y=(1+\frac{0.05}{4} )^4-1\\\\Y=(1+0.0125 )^4-1\\\\Y=(1.0125 )^4-1\\\\ Y=1.05094534-1\\\\Y=0.05094534\\\\\\[/tex]

Effective annual yield = 0.05094534 or 5.094%

The effective annual yield of a 5% interest rate compounded quarterly is calculated to be approximately 5.1%.

To find the effective annual yield of a passbook savings account with a rate of 5% compounded quarterly, follow these steps:

Identify the nominal interest rate and the compounding periods per year:

Nominal rate (r ): 5% or 0.05,

Compounding periods (n ): 4 (quarterly).

Use the formula for effective annual yield (A):

A = (1 + r/n)ⁿ - 1

Plug the numbers into the formula:

A = (1 + 0.05/4)⁴ - 1

Calculate inside the parentheses first:

1 + 0.05/4 = 1.0125

Raise the result to the power of 4:

(1.0125)⁴ ≈ 1.05095

Subtract 1 to get the effective annual yield:

1.05095 - 1 ≈ 0.05095 or 5.095%

Therefore, the effective annual yield is approximately 5.1%, rounded to the nearest tenth of %.

Complete question:

A passbook savings account has a rate of 5%. Find the effective annual yield if the interest is compounded quarterly. The effective annual yield is %. (Round to the nearest tenth as needed.)

Answer:

x = -4  and x = 2

Through the Completing the Square process below:

Step-by-step explanation:

solve 6x^2 +12x-48=0

first divide out the 6

x^2 + 2x - 8 = 0

Then use the Diamond method:

-8 = -2*4 ,   and  -2 + 4 = 2

so

x^2 - 2x + 4x - 8 = 0

x(x - 2) + 4*(x -2) = 0

(x + 4)(x - 2) = 0

so, solve  x + 4 = 0    and  (x - 2) = 0

x = -4  and x = 2

The completing the square is  {-4, 2}

Completing the Square. Completing the Square is a method used to solve a quadratic equation by changing the form of the equation so that the left side is a perfect square trinomial . To solve a x 2 + b x + c = 0 by completing the square

According to the question,

Simplifying

6x2 + 12x - 48 = 0

Reorder the terms:

-48 + 12x + 6x2 = 0

Solving

-48 + 12x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.

6(-8 + 2x + x2) = 0

Factor a trinomial.

6((-4 + -1x)(2 + -1x)) = 0

Ignore the factor 6.

Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying

-4 + -1x = 0

Solving

-4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0

0 + -1x = 0 + 4

-1x = 0 + 4

Combine like terms: 0 + 4 = 4

-1x = 4

Divide each side by '-1'.

x = -4

Simplifying

x = -4

Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying

2 + -1x = 0

Solving

2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.

2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0

0 + -1x = 0 + -2

-1x = 0 + -2

Combine like terms: 0 + -2 = -2

-1x = -2

Divide each side by '-1'.

x = 2

Simplifying

x = 2

Solution

x = {-4, 2}

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Answer:

1/10

Step-by-step explanation:

In the question above we are given two data sets

a) A number cube labelled and it rolled, 1 to 6

b) A word called Music

We are asked to find the probability of

obtaining a 6 from the rolled dice and picking a consonant.

Step 1

Probability = Number of Possible Outcomes/ Number of events

Probability of obtaining a 6 from the rolled cube = P(6) = 1/6

Step 2

Probability = Number of Possible Outcomes/ Number of events

In the Letter MUSIC, we have 5 letters,

2 Vowels and 3 consonants

The Probability of Obtaining an Consonant = Number of possible outcomes ( Number of consonants) ÷ Number of events ( Number of letters in MUSIC)

P ( Consonant) = 3/5

Step 3

This is the final step

And we are to find the Probability of P(6 and consonant)

P( 6 and Consonant ) = P (6) × P ( Consonant)

P ( 6 and Consonant) = 1/6 × 3/5

= 3/30 = 1/10

Therefore, the Probability of obtaining P(6 and consonant) = 1/10.

Final answer:

The probability of rolling a 6 on a six-sided die and selecting a consonant from the word MUSIC is 1/10.

Explanation:

The probability of rolling a 6 on a number cube and selecting a consonant from the word MUSIC is found by multiplying the probabilities of the two independent events. The probability of rolling a 6 on a six-sided die is 1/6. The word MUSIC has three consonants: M, S, and C. The probability of choosing a consonant from MUSIC is 3/5, since there are 5 letters in total and 3 of them are consonants.

Therefore, the probability of both events occurring is:
P(6 and consonant) = P(6) × P(consonant) = (1/6) × (3/5) = 1/10.

The area of triangle ABC, with sides of 8 km and 5 km and an internal angle of 150 degrees, is calculated using the formula for the area of a non-right triangle. The result is 10 km².

The subject of this question is Mathematics, specifically Geometry dealing with calculation of area of a triangle using the properties of a non-right triangle.

The area of the triangle ABC can be calculated using the formula 0.5 * a * b * sin(C), where C is the angle between sides a and b.

Here, a is the length from A to B, which is 8 km; b is the length from B to C, which is 5 km; and the angle C (angle ABC) is 150°.

Plug these values into the formula: 0.5*8km*5km*sin(150°) which equals to 10 km².

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Answer:

You should be able to answer the question in 35 different ways.

Step-by-step explanation:

5 * 7 = 35

That's how I see it.

Final answer:

Using the Fundamental Counting Principle, there are  [tex]5^7[/tex] or 78,125 ways to answer a 7-question multiple-choice test where each question has 5 answer choices.

Explanation:

To determine the number of ways you can answer a multiple-choice test with 7 questions, where each question has 5 answer choices, you can use the Fundamental Counting Principle. This principle states that if there are n ways to do something and m ways to do another thing, then there are n*m ways to do both things.

In this case, for each of the 7 questions, you have 5 possible answers. So, the number of ways to answer all questions is 5 * 5 * 5 * 5 * 5 * 5 * 5, or  [tex]5^7[/tex]. Therefore, there are 78,125 ways to answer the 7 questions on the test.

On the seventh day, following the pattern of doubling the increment from the previous day, the biker would bike 16.6 miles.

To determine how many miles will be biked on the seventh day, we need to recognize the pattern in the distances biked each day. Starting with the first day and continuing through the fourth day, we see increases of 0.2 miles, 0.4 miles, and 0.8 miles respectively. It seems that each day, the increment from the previous day doubles.

Following this pattern, the distances for the next three days would be:

Therefore, the biker would bike 16.6 miles on the seventh day of training following this pattern.

The outliers are 1, 6 and 9 while the mean is 3.5 and the range is 8

1) From the given dot plot, we can say that the outliers are 1, 6 and 9. This is because these numbers are far away from the general  number of people in each household.

2) The mean is;

[(1 * 1) + (2 * 4) + (5 * 3) + (4 * 4) + (5 * 4) + (1 * 9)]/20 = 3.5

3) The range is the difference between the highest number and the lowest number. Thus;

Range = 9 - 1

Range = 8

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We have been given that Mrs. Culland is finding the center of a circle whose equation is [tex]x^2+y^2+6x+4y-3 = 0[/tex] by completing the square. We are asked to find the final step of her work.

Let us complete the square.

We know that to complete square, we need to add the half the square of coefficient of x and y term.

[tex]x^2+y^2+6x+4y-3+3 = 0+3[/tex]

[tex]x^2+6x+y^2+4y=3[/tex]

We can see that coefficient of x is 6 and coefficient of y is 4.

[tex](\frac{6}{2})^2=3^2=9[/tex]

[tex](\frac{4}{2})^2=2^2=4[/tex]

Now we will add 9 and 4 on both sides as:

[tex]x^2+6x+9+y^2+4y+4=3+9+4[/tex]

[tex](x^2+6x+9)+(y^2+4y+4)=16[/tex]

Now we will complete the square as:

[tex](x+3)^2+(y+2)^2=4^2[/tex]

We know that standard form of equation of a circle is in form [tex](x-h)^2+(y-k)^2=r^2[/tex], where point (h,k) represents center of circle and r represents radius of circle.

We can rewrite our equation as:

[tex](x-(-3))^2+(y-(-2))^2=4^2[/tex]

Now we can see that center is at point [tex](-3,-2)[/tex].

Therefore, the equation of the circle would be [tex](x+3)^2+(y+2)^2=4^2[/tex] with a center at point [tex](-3,-2)[/tex].

Answer:

d

Step-by-step explanation:

egd 2021

Answer:

C

Step-by-step explanation:

Known :

Sa = 28.26 ft

Asked :

d = ...?

Answer :

Sa = 4πr²

28.26 = 4 × 3.14 × r²

28.26 = 12.56 r²

r² = 28.26 ÷ 12.56

r² = 2.25

r = √2.25

r = 1.5 ft

diameter = 2 × radius = 2 × 1.5 = 3 ft

So, the diameter is 3 ft (2nd choice)

Hope it helpful and useful :)

Step-by-step explanation:

SA = 4 [tex]\pi[/tex]

28.26 = 4 × 22/7 × r²

r³ = 28.26 × 7/88

r² = 2.25 ft²

r = 1.5 ft

Diameter = 2 × r = 3 ft

Answer:

V = 330.513 cm^3

Step-by-step explanation:

Area = l x w and with a square the length and width are the same, additionally the volume of a pyramid can be found by using the formula (L)(w)(h)/3 so

8.7 x 8.7 = 75.69cm^2

75.69 x 13.1 = 991.539

991.539 ÷ 3 = 330.513 cm^3

Mark as brainliest please :)

Final answer:

The volume of a pyramid with a square base of side 8.7 cm and height 13.1 cm is calculated using the formula for volume, resulting in 330.35 cm³.

Explanation:

To find the volume of a pyramid with a square base, you can use the formula V = (1/3) × base area × height, where the base area for a square is given by side length × side length.

In this case, the side length of the base is 8.7 cm, and the height of the pyramid is 13.1 cm.

First, calculate the area of the base:

Base Area = 8.7 cm × 8.7 cm = 75.69 cm²

Then, calculate the volume of the pyramid:

Volume = (1/3) × 75.69 cm² × 13.1 cm = 330.35 cm³

Therefore, the volume of the pyramid is 330.35 cm³.

Answer:-2=-2 (b)

Step-by-step explanation:

I just took that lesson

Answer:

-2=-2

Step-by-step explanation:

Answer:

11/6

Step-by-step explanation:

Answer:

B D E

Step-by-step explanation:

i did the quiz

Answer:

2,4,5 choices

Step-by-step explanation:

I did the quiz

Answer:

A.) 7x x 5=$50.00

Step-by-step explanation:

You can eliminate B and C as they don't include the 5 different stores.

D is incorrect because it doesn't include the 7 items.

Therefore, A is correct because 7x is the 7 items multiplied by the average cost per item and you multiply by 5 because she does that at each of the 5 stores. It = to 50 because she started with $65 but ends up with $15 so you subtract $65 with $15 to get $50 as that's how much she spent.

Answer:

A

Why:

$65.00-$15.00=$50.00

She visited 5 stores, and she bought 7 items.

So therefore it would be A.

Sorry that my answer was short.

Answer:

100,000x5=500,000

500,000+250,000=750,000/100,000=7.5

5.0x14= $70

7.5x14= $105

They got $35

Answer:

For everyone in the future who uses this answer site. The person at the bottom with the answer 125,000 is correct. Even though I could not thank you commenter I thank you through this!

Step-by-step explanation:

Answer:

the answer is 9%

Step-by-step explanation:

i looked it up

9% percent of Team B’s mean absolute deviation is the difference in the means.

the sum of all values divided by the total number of values is known as the mean.

the average distance between each data point and the mean.

or

mean absolute is a measure of variability that indicates the average distance between each observation and the mean.

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Answer:

2x+2y=128

Step-by-step explanation:

multiply X by 2 then by 7 + 2 multiply by y and7 after getting whole numbers minus from 132 and add

Answer:

{-2 is the leading coefficient of the quadratic equation }f(x)=-2x^2+5x-4

Step-by-step explanation:

Given the quadratic function

we have to find the leading coefficient of given quadratic equation.

The coefficient of x2 i.e a is known as the leading coefficient.

Comparing given equation with the standard equation, we get

a=-2