35 POINTS The students in a high school are being randomly split into focus and accountability groups. Each group contains four students, selected regardless of gender or grade level. You conduct a simulation using colored discs in a bag: red, blue, green, and yellow. You decide that red (r) represents the freshmen, blue (b) represents the sophomores, green (g) represents the juniors, and yellow (y) represents the seniors. Next, you randomly select one disc from the bag, record the color, and put the disc bag in the bag. You do the same thing three more times to represent one group. Then, you complete this entire process twenty-five times, as shown below. y, g, y, b g, g, g, r r, g, b, g b, b, b, y r, r, y, g b, r, g, g y, r, r, g y, y, g, r b, g, b, b y, r, g, r y, g, g, y b, y, y, b y, g, b, r g, b, y, g b, g, y, g y, b, y, y b, r, y, y g, y, y, y g, r, y, r g, y, b, b r, g, r, r b, r, y, g b, b, b, b y, b, r, y y, y, y, y Based on the results of the simulation, the experimental probability of a group having four students from the same grade level is __% Based on the results of the simulation, if 224 groups are formed, about how many of them would you expect to contain one student from each grade level? Round your answer to the nearest number of groups.

Answer:

  D)  m^5·n^7

Step-by-step explanation:

The applicable rule for exponents is ...

  (a^b)^c = a^(b·c)

__

  [tex](m^{\frac{5}{2}}n^{\frac{7}{2}})^2=m^{\frac{5}{2}\cdot2}n^{\frac{7}{2}\cdot2}=\boxed{m^5n^7}[/tex]

Order of Operations: BPEMDAS

Equality Properties

*Note: I am going to assume what the equation is, since it is unclear.

Let's define the equation given to us:

[tex]\displaystyle N = 6 + 4 + 3 + 1 + \frac{1}{3}N[/tex]

Let us now find the value of N:

∴ the value of N = 21.

∴ the answer choice would be D) 21.

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Learn more about solving equations: https://brainly.com/question/10664006

Learn more about Algebra I: https://brainly.com/question/13368247

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Topic: Algebra I

Unit: Two-step Equations

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▹ Answer

Perimeter = 8 inches

▹ Step-by-Step Explanation

a + b + a + b

2 + 2 + 2 + 2 → 8 inches

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

8 inches

Step-by-step explanation:

since a quadrilateral has 4 sides and each side equals 2, you would just add all the sides to together to get 8!

2 + 2 + 2 + 2 = 8

hopefully this helped :3

law of syllogism basically is a=b b=c then a=c

a = miss bus

c= detention

so if you miss the bus you get detention

D

Answer:

The solution of given equation is (2,5)

Step-by-step explanation:

The equations give to us are:

y - 3 = x

or

y = x + 3

y = x² - 6x + 13

We can find the solution of the given system of equations by substituting each point in both of the equations. The point which satisfies both of the equation will be the solution of the the system of given equation.

Substitute (2,5) in both equations

y = x+3

5 = 2+3

5 = 5

TRUE

y = x² - 6x + 13

5 = 2² -6(2) + 13

5 = 5

TRUE

Similarly, we can also check the rest of the points, which come as FALSE.

Therefore, the solution of given equation is (2,5)

Answer:

Answer is C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

An arithmetic sequence has to increase or decrease by the same amount each time

-3 ,-10,-17,-24,-31

Decreases by 7 each time so it is an arithmetic sequence

Answer:

i think its D not to sure

Step-by-step explanation:

Answer:

[tex]y = 0.5 {(2)}^{x - 1} - 3[/tex]

Hope this helps you

Answer:

c = -6

d = -1

Step-by-step explanation:

In the picture attached, the question is shown.

Shape A is composed of the points:

(3, 2)

(5, 2)

(3, 5)

Reflection across the x-axis transforms point (x, y) into (x, -y). Applying this transformation to shape A:

(3, 2) → (3, -2)

(5, 2) → (5, -2)

(3, 5) → (3, -5)

Translation (c, d) transforms (x, y) into (x+c, y+d). The point (3, -2) in the pre-image (before translation) corresponds to point (-3,-3) in the image (after translation). Therefore:

(3, -2) → (3+c, -2+d) → (-3,-3)

3+c = -3

c = -3 -3 = -6

-2+d = -3

d = -3+2 = -1

Answer:

Approximately, the 90% confidence interval for the students' mean IQ score is between 129.045 - 130.956

Step-by-step explanation:

The formula to use to solve this question is called the Confidence Interval formula.

Confidence interval =

x ± z × ( σ/ (√n) )

Where:

x = the sample mean = 130

z = the z-value for 90% confidence = 1.645

σ = standard deviation = 7

n = sample size = 145

130 ± 1.645 × (7/√145)

130 ± 0.9562687005

130 - 0.9562687005 = 129.0437313

130 + 0.9562687005 = 130.9562687005

Therefore, approximately, the 90% confidence interval for the students' mean IQ score is between 129.045 - 130.956

Answer:

108 cm^2

Step-by-step explanation:

The lateral surface area of a pyramid is given as

LSA= 1/2×perimeter of the base×slant height

base is hexagon with side 3 cm , therefore, perimeter of the base

=6×3=18 cm

slant height = 12 cm

thus, LSA = 1/2×18×12 = 108 cm^2

Answer:

A.   1

Step-by-step explanation:

To find the value of the expression, we will follow the steps below:

log₅2 + log₅10 -log₅4

From the rules of logarithm

logₐb + logₐc = logₐbc

similarly

logₐb - logₐc = logₐb/c

applying the two rules above to our expression will yield:

log₅2 + log₅10 -log₅4

=log₅(2 x 10) /4

=log₅20/4

=log₅5

also according to the rule of logarithm, logₐa=1

Therefore,

log₅5 =1

Therefore, the correct answer is 1

Answer:

Option D.

Step-by-step explanation:

The given equation is

[tex]10b=5(\sqrt{c}+2)[/tex]

We need to find an equation which is equivalent to the given equation.

Using distributive property, we get

[tex]10b=5(\sqrt{c})+5(2)[/tex]

[tex]10b=5\sqrt{c}+10[/tex]

Subtract both sides by 10.

[tex]10b-10=5\sqrt{c}[/tex]

Divide both sides by 5.

[tex]\dfrac{10b-10}{5}=\sqrt{c}[/tex]

Taking square on both sides.

[tex]\left(\dfrac{10b-10}{5}\right)=(\sqrt{c})^2[/tex]

[tex]\dfrac{(10b-10)^2}{25}=c[/tex]

[tex]c=\dfrac{(10b-10)^2}{25}[/tex]

This equation is equivalent to the given equation.

Therefore, the correct option is D.

Answer:

d on edgenuity

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

The length of the hall way

the weight of the wombat

Answer:

Only vowels and odd numbers:

[tex]P = \frac{5}{26} *\frac{4}{25}* \frac{3}{24}* \frac{2}{23} *\frac{5}{10}* \frac{4}{9} *\frac{3}{8} *\frac{2}{7}[/tex]

Spells math:

[tex]P = \frac{1}{26} *\frac{1}{25}* \frac{1}{24}* \frac{1}{23}[/tex]

Step-by-step explanation:

We have four letters, so the probability that one letter is a vowel is 5/26 (we have 5 vowels in a total of 26 letters), then the second letter has a probability of 4/25 of being a vowel (1 vowel used), and so on (third letter being vowel = 3/24 and fourth letter being vowel = 2/23)

Then, for the digits, we do the same, one digits has 5/10 probability of being odd, then the second digit has 4/9, the third has 3/8 and the fourth has 2/7.

So the final probability would be:

[tex]P = \frac{5}{26} *\frac{4}{25}* \frac{3}{24}* \frac{2}{23} *\frac{5}{10}* \frac{4}{9} *\frac{3}{8} *\frac{2}{7}[/tex]

To find the probability that the password spells the word “MATH", each letter has to be a specific letter, so the first letter has 1/26 probability, the second has 1/25, and so on:

[tex]P = \frac{1}{26} *\frac{1}{25}* \frac{1}{24}* \frac{1}{23}[/tex]

The number of passwords with only vowels and odd numbers is 1/125580 and the probability that a password spells MATH is 1/358800

The password format is given as:

LDDDDLLL

Since no character can be repeated, then the total number of different password using the format is:

Total = 26 * 10 * 9 * 8 * 7 * 25 * 24 * 23

Total = 1808352000

Also using the format, the number of passwords with only vowels and odd numbers is:

Total = 5 * 5 * 4 * 3 * 2 * 4 * 3 * 2

Total = 14400

The probability is then calculated as:

[tex]p = \frac{14400}{1808352000}[/tex]

Simplify

[tex]p = \frac{1}{125580}[/tex]

The number of password that spells MATH is:

Total = 1 * 10 * 9 * 8 * 7 * 1 * 1 * 1

Total = 5040

So, the probability that a password spells MATH is:

[tex]p = \frac{5040}{1808352000}[/tex]

Simplify

[tex]p = \frac{1}{358800}[/tex]

Hence, the probability that a password spells MATH is 1/358800

Read more about probability at:

https://brainly.com/question/25870256

Answer:

-16 + 12p

Step-by-step explanation:

1st we distribute :P

-4 * 4 = -16 we also have to multiply the other number with the variable

-4 * -3p = 12p since we have two negative symbols they become a positive number.

now we have -16 + 12p

High Hopes

   Barrii

Answer:

given, -4(4-3p)=0

multiplying, -16+12 p=0

or, 12p=16

or, p=16/12

therefore the value of p is 4/3 is answer...

Answer:

Step-by-step explanation:

tan x/2=-√3/3

sec²x/2-tan²x/2=1

sec²x/2-3/9=1

sec² x/2=1+1/3=4/3

cos² x/2=3/4

2cos² x/2=3/2

1+cos x=3/2

cos x=3/2-1=1/2=cos π/3,cos (2π-π/3)

x=π/3,5π/3

or

cos x=(1-tan²x/2)/(1+tan²x/2)=(1-1/3)(1+1/3)=(2/3)/(4/3)=1/2=cos π/3,cos (2π-π/3)

or x=π/3,5π/3

x=π/3

x/2=π/6

tan x/2=tan π/6=√3/3

so x=π/3 is an extraneous value.

x=5π/3 is the solution.

or

tan x/2=-√3/3=-1/√3=(-1/2)/(√3/2) [by dividing numerator and denominator by 2]

=-tan π/6=tan (π-π/6),tan (2π-π/6)

x/2=5π/6,11π/6

x=5π/3,11π/3,

now 11π/3 >2π

so x=5π/3

Answer:

Step-by-step explanation:

Given,

Principal (P) = £ 30000

Simple Interest ( I ) = £ 28800

Rate (R) = 12%

Time (t) = ?

Now,

[tex]t = \frac{i \times 100}{p \: \times \: r} [/tex]

[tex] = \frac{28800 \times 100}{30000 \times 12} [/tex]

[tex] = \frac{2880000}{360000} [/tex]

[tex] = 8 \: years[/tex]

Hence, It would take 8 years.

Hope this helps...

Good luck on your assignment...

Answer:

x = 0   ,   x = -2

Step-by-step explanation:

The function given to us is:

f(x) = 3/2x - 5

g(x) = x² + 2x

We have to find the input x, for which the output of the function g(x) becomes 0.

It means that there is no use for the function f(x) in this question, so discard it

Substitute g(x) = 0 into the given equation of g(x):

g(x) = x² + 2x

0 = x² + 2x

Take x common from both the terms:

x(x+2) = 0

Thus, the values of x can be written as:

x = 0     ,     x + 2 = 0

x = 0     ,     x = -2

Answer:

Arc EFC has a measure of 234 degrees.

Step-by-step explanation:

The measure of arc  EFC = the measure of arc EF + the measure of arc BF + the measure of arc BC.

Arc BFE looks like a semicircle.

A semicircle has a measure of 180 degrees.

Arc BF + arc FE = 180 degrees

Arc BF has a measure of 126 degrees.

126 + arc FE = 180

arc FE = 54 degrees

Arc FE = Arc BC

Their central angles are equal by vertical angle theorem.

EFC = EF+BF+BC

EFC = 54 + 126 + 54

Answer:

The square root of 49 is 7.

Step-by-step explanation:

To find the square root of 49, you would need to look at the possible multiplication equations. For example:

1 x 49 = 49

7 x 7 = 49

49 x 1 = 49

As you can see, 7 x 7 would have the square root of 49, which is 7.

7^2=49

.

In conclusion, the square root of 49 is 7

Answer:

The square route of 49 is 7.

Step-by-step explanation:

All you have to do is 7 x 7 = 49

There. You have your correct answer.

The answer is A) 5 cm³

Volume is represented by cubic units.

Hope it helps <3

Answer:

none

Step-by-step explanation:

If a squared variable is equal to a negative number, all of the solutions are imaginary

There are no real solutions

Answer:

The correct answer is none.

Answer:

yes

Step-by-step explanation:

Answer:

B. 20x + 600 > 1,000.

Step-by-step explanation:

Company XYZ has already sold 600 units. They will sell additional units at 20 per week. They want to sell more than 1,000 units.

We can use "x" to represent the number of weeks it will take for the company to sell more than 1,000 units.

Their rate will be 20x (20 units per week). They have already sold 600 units, so we have the expression, 20x + 600. That quantity needs to be MORE THAN 1,000, so we will use the > sign. That needs to be more than 1,000, so we put 1,000 to the right of the > sign.

That leaves us with: B. 20x + 600 > 1,000.

Hope this helps!

Answer:

The answer is B

Answer:

g(x) = [tex](\frac{1}{5}) ^{x}[/tex] + 4

Step-by-step explanation:

Given f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here f(x) is shifted up 4 units, thus translated function is

g(x) = f(x) + 4 = [tex](\frac{1}{5}) ^{x}[/tex] + 4

Answer:

C. g(x) = (1/5) x + 4

Hope this helps!

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

answer is 1 trust me use simple algebra

Answer:

c

Step-by-step explanation:

got it right

Answer:

see explanation

Step-by-step explanation:

Sum their ages , 11 + 19 + 20 = 50

Divide £500 by 50 to find the value of one part of the ratio

£500 ÷ 50 = £10, thus

11 × £10 = £110 ← Pete's share

19 × £10 = £190 ← Fred's share

20 × £10 = £200 ← Sarah's share

Answer:

Pete's share: £110

Fred's share: £190

Sarah's share: £200

Step-by-step explanation:

Add their ages:

11 + 19 + 20 = 50

500 ÷ 50 = £10

Then you times their age with £10 to get how much they all get.

10 x 11 = £110

19 x 10 = £190

20 x 10 = £200

I hope my answer will help you out!