-28=-7(3x+4)+21x thank you to anyone who helps

The probability that the sample contains exactly 4 minorities is 0.0577

We know that 25% of the employees of a large company are minorities. So, from any set of N employees that we ranodmly select from that large company, we can estimate that the number of minorities there is:

0.25*N

Now, we want to find the probability that the sample contains exactly 4 minorities.

Then we need to compute:

\(P = 0.25^4*0.75^3\)

We also need to count the permutations for that probability, then we need to add the factor:

\(P = 0.25^4*0.75^3*(\frac{7!}{4!*3!} )\)

Solving that we will get:

\(P = 0.25^4*0.75^3*(\frac{7!}{4!*3!} )\\\\P = 0.25^4*0.75^3*(\frac{7*6*5}{3*2} )\\\\P = 0.0577\)

That is the probability.

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The cosine of 60° is equal to 0.5, and the sine of 60° is equal to \(√3/2\). For the angle -780°, the exact value of cosine is 0.5, and the exact value of sine is \(√3/2.\)

To sketch an angle in a standard position, start by drawing the positive x-axis (the horizontal line to the right). Then, rotate counterclockwise from the positive x-axis by the given angle.

For an angle of -780°, we can find its reference angle by subtracting 360° until we obtain a positive angle between 0° and 360°.

\(780° - 360° = 420°\\420° - 360° = 60°\)

So, the reference angle for \(-780°\) is \(60°.\)

Next, we can use the unit circle to find the exact values of cosine and sine for the angle of 60°.

The cosine of 60° is equal to 0.5, and the sine of 60° is equal to √3/2.

Therefore, for the angle -780°, the exact value of cosine is 0.5, and the exact value of sine is √3/2.

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Sketch an angle in standard position, we start by placing the initial side of the angle along the positive x-axis. For the angle -780°, we can find its equivalent angle in the standard position by adding or subtracting multiples of 360°. Therefore, the exact values of cosine and sine for -780° are: Cosine: -1/2; Sine: √3/2.

Since -780° is negative, we add 360° to it repeatedly until we get a positive angle:

-780° + 360° = -420°
-420° + 360° = -60°

Therefore, the equivalent angle in the standard position is -60°.

To find the exact values of cosine and sine for -60°, we can use the unit circle and a right triangle.

- First, sketch the angle -60° in standard position on the unit circle.
- Then, draw a vertical line from the point on the unit circle to the x-axis, creating a right triangle.
- The length of the vertical side of the triangle is equal to the sine of the angle, and the length of the horizontal side is equal to the cosine of the angle.

Since -60° is in the third quadrant, the cosine will be negative and the sine will be positive.

Using the unit circle, we can see that the cosine of -60° is -1/2, and the sine of -60° is √3/2.

Therefore, the exact values of cosine and sine for -780° are:

Cosine: -1/2
Sine: √3/2

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Answer:

5.5

Step-by-step explanation:

4(x+2)=30

4x+8=30

4x=30-8

4x=22

x=22/4

x=5.5

Answer:

y=negative two fifths x plus 4

Step-by-step explanation:

DNA tbh ishrb jd ge kem is j.g cr. ks i.v rgjs gusnrie84b isbsuosb sojdl

Answer:

its A

Step-by-step explanation:

mark me brainliest

pls and ty

<3 anmol

Answer:
A's Salary is 3,000

B's Salary is 750.

Step-by-step explanation:

Divide 3,750 by 5 = B's salary.
Multiply that by 4. that is A's salary.

Hope you get an A+ <3

The diameter is decreasing at a rate of  - 0.101 cm/min

Given that,

Surface area is decreasing at a rate of \(7cm^{2}\)/min,

We know that,

Surface Area of a sphere:

S = 4 π r2

dS/dt = - 7cm2/min

our aim is to find rate of decrease of Diameter:

dD/dt =?

Substitute r in the equation with radius = 1/2*Diameter:

r = 1/2D

Take the derivative of the surface area function with respect to time:

d/dt [S = 4 π (1/2D)2]

d/dt [S = 4 π 1/4*D2]

d/dt [S = π *D2]

dS/dt = 2πD*dD/dt

Solve for dD/dt:

dD/dt = dS/dt / 2πD

Substitute, dS/dt = - 7cm2/min and D = 11 cm

dD/dt = dS/dt / 2πD

dD/dt = - 7cm2/min / 2π*11cm

dD/dt = - 7cm2/min / 22π cm

dD/dt = - 7cm / 22π min

dD/dt = - 0.101 cm/min

Therefore, the diameter is decreasing at a rate of - 0.101 cm/min

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0.101331789 cm/min is the rate at which the diameter decreases when the diameter is 11 cm

if a snowball melts so that its surface area decreases at a rate of 7 cm2/min,

find the rate at which the diameter decreases when the diameter is 11 cm.

Surface area: S

radius: r

diameter: e

time: t

[dS/dt] = [dS/de]*[de/dt] => de/dt = [dS/dt] / [dS/de]

S = 4pi*r^2 = 4p*i(e/2)^2 = pi*e^2 => dS/de =2pi*e

dS/dt = 7cm^2 / min

de / dt = [2pi*e] / [7cm^2/min] =[7cm^2/min] /  [2pi*11cm]

= 0.101331789 cm/min

Hence , 0.101331789 cm/min is the rate at which the diameter decreases when the diameter is 11 cm

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Answer:

314 squared meters

Step-by-step explanation:

pi times radius squared is the area of a circle formula

10x10=100

3.14x100=314

Hopes this helps please mark brainliest

Answer

6π

Step-by-step explanation

The area of the circular ripple is calculated as follows:

where r is the radius of the circle.

To find how fast is the area of the circular ripple increasing, we need to compute the derivative of the area with respect to time as follows:

Given that the radius of the circle increases at the rate of 1 foot per second, then:

Considering the rate of 1 foot per second, then after 3 seconds the radius will be:

Substituting these values into the formula of dA/dt, we get:

Nicotine in menthol cigarettes 90% confidence: n = 22, s = 0.29 mg. df = 21, chi^2_L = 12.44,  chi^2_R =  32.85.  The confidence interval estimate of sigma is  0.168 < σ < 0.267.

The formula for calculating the confidence interval for the population standard deviation, σ, is:

σ = sqrt[((n - 1) * s^2) / χ^2_R,α/2] < σ < sqrt[((n - 1) * s^2) / χ^2_L,α/2]

where n is the sample size, s is the sample standard deviation, and χ^2_L,α/2 and χ^2_R,α/2 are the left and right critical values of the chi-squared distribution with α/2 degrees of freedom, where α is the level of significance.

Using the given information, we have:

n = 22

s = 0.29 mg

Confidence level = 90%

α = 1 - 0.90 = 0.10

Degrees of freedom = n - 1 = 21

To find the critical values of the chi-squared distribution, we can use a chi-squared distribution table or a calculator. For α/2 = 0.05 and 21 degrees of freedom, we find:

χ^2_L,α/2 = 12.44

χ^2_R,α/2 = 32.85

Therefore, the degrees of freedom is 21, the left critical value is 12.44, and the right critical value is 32.85.

Plugging in the values, we have:

σ = sqrt[((n - 1) * s^2) / χ^2_R,α/2] < σ < sqrt[((n - 1) * s^2) / χ^2_L,α/2]

σ = sqrt[((22 - 1) * 0.29^2) / 32.85] < σ < sqrt[((22 - 1) * 0.29^2) / 12.44]

σ = 0.168 < σ < 0.267

Therefore, the confidence interval estimate of σ is 0.17 mg < σ < 0.27 mg (rounded to two decimal places).

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The net change in the value of the function between x = 1 and x = 6 is 30.

To find the net change in the value of the function between the inputs of 1 and 6, we need to find the difference between the output values of the function at x = 1 and x = 6, and then take the absolute value of that difference.

First, we can find the output value of the function at x = 1:

f(1) = 6(1) - 5 = 1

Next, we can find the output value of the function at x = 6:

f(6) = 6(6) - 5 = 31

The net change in the value of the function between x = 1 and x = 6 is the absolute value of the difference between these two output values:

|f(6) - f(1)| = |31 - 1| = 30

Therefore, the net change in the value of the function between x = 1 and x = 6 is 30.

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Answer: 8

16÷4×2

4×2

8

Step-by-step explanation:

B=Brackets

O=of

D=Division

M=Multiplication

A=Addition

S=Subtraction

Now, coming to problem

First, we will use operation division, then Multiplication.

=4× 2

=8

Answer:

Simple b is 2

Step-by-step explanation:

1.5(2)= 3

Answer:

2

Step-by-step explanation:

So you need to find how many times to multiply 1.5 to make 3.

Divide 3 by 1.5 and you will get 2.

Hope this helps! :D

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Complementary angles has sum of \(90^{o}\) and supplementary angles have sum of \(180^{o}\) , The answer is \(62^{o}\) and \(48^{o}\) .

When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together.

When two angles' measurements add up to 90 degrees, they are said to be complementary. When two angles' measures sum up to 180 degrees, they are said to be supplementary. Keeping in mind that the letter s follows the letter c in the alphabet and that 180 is greater than 90 can help you avoid conflating these definitions.

\(28^{o}\)

complement = \(90^{o}-28^{o}\) = \(62^{o}\)

\(132^{o}\)

supplement= \(180^{o}-132^{o}\) = \(48^{o}\)

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Answer:

the answer is A. 0.09

Step-by-step explanation:

internet :)

Answer:

Step-by-step explanation:

Probability of oil:

Probability of no oil:

Probability of testing for no oil:

Correct choice is C

Answer:

12

Step-by-step explanation:

When you multiply 12 by itself its 144.

I hope it helps! Have a great day!

pan~

Answer:

12

Step-by-step explanation:

Divide 144 by 2 and it’s 12.

Or you could guess and check b dividing each number by itself until you get 144.

I hope it helps! Have a great day!

Muffin °-°

The correct answer is option D which is p ³+ 2; when p = 3 the number of plants is 29.

The complete question is given below:-

liana cubed the number of flowering plants in her garden, then added 2 vegetable plants. Let p represent the original number of plants in her garden. Which shows an expression to represent the total number of plants in her garden and the total number of plants if p = 3? 3 p minus 2; when p = 3 the number of plants is 7 3 p + 2; when p = 3 the number of plants is 11 p cubed minus 2; when p = 3 the number of plants is 25 p cubed + 2; when p = 3 the number of plants is 29

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The given expression is liana cubed the number of flowering plants in her garden, then added 2 vegetable plants.

If she cubed the number of the plants will be:- P³

Now she added two vegetable plants:- 2

Then the equation will be:- p³ + 2. Now we will put the value of p = 3 in the equation.

Total number of the plants = ( 3 )³ + 2 = 27 + 2 = 29

Therefore the correct answer is option D which is p³+ 2; when p = 3 the number of plants is 29.

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Answer:

add up all the numbers and multiply it by 32

Step-by-step explanation:

add up 32 33 34 34 36 38 38 38 40 42 amd then multiply that answer by 32

Answer:

f=8/3

Step-by-step explanation:

Answer:

C. Points F, J, and H are collinear.

Step-by-step explanation:

Given

See attachment for triangle

Required

Which statement is false

Options A, B and D are true while C is false.

Two points are said to collinear if a straight line can pass through them.

From the attached triangle, we can see that a straight line cannot pass through F, J and H.

Hence, they are not collinear.

Since the statement is false, then it cannot be used as part of the proof.

The location (x,0) that will minimize the amount of cable between the 3 towns is  x = 3.46

Consider that call L₁ total distance between Centerville and Springfield and L₂  total distance between Centerville and Shelbyville

Then, the total cable will be L₁ + L₂  

Noted that the length 12 - x  is common to the two distances.

Therefore, total distance  d = ( 12 - x ) + 2 √(x² ) + (6)²  

F(x) = 12 - x + 2*√ ( x² + 36 )

Taking derivatives on both sides of the equation;

F´(x) = -1 + 2 * 1/2 * 2*x/ √( x² + 36 )

F´(x) = - 1 + 2*x / √(x² + 36 )

F´(x) = 0

 -1 +  2*x/ √( x² + 36 ) = 0

Solving for x;

- √ ( x² +  36 ) + 2*x  = 0

- √ ( x² +  36 )  = - 2*x

 √ ( x² +  36 )  =  2*x

Taking squaring both sides;

x² + 36  = 4 x²

3*x² = 36

x² = 12

x =  3,46 m  

( 3,46 , 0 ) is the location for minimun length

Then total amount of cable is:

d  =  12 - 3,46 + 2 * √ (3,46)² + 36

d  = 8,54  + 2 * 6,92

d  = 22,38 m

Take the second derivative of F

F´´(x) = 0 + D/ dx (  2*x/ √( x² + 36 ) )

F´´(x) = [ 2*√( x² + 36 )  - 2*x [ x/√ ( x² + 36 ) ] / (x² + 36)

We can see that expression is an integer positive, since the second term is always smaller than the first one then we have a minimun for x = 3,46

The complete question is;

Centerville is located at (12,0) in the x -plane, Springfield is at (0,6) , and Shelbyville is at (0,−6) . The cable runs from Centerville to some point (x,0) on the x-axis where it splits into two branches going to Springfield and Shelbyville. Find the location (x,0) that will minimize the amount of cable between the 3 towns and compute the amount of cable needed.

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Answer:congruent

Step-by-step explanation:

The average score of all students, calculated by taking a weighted average based on the number of students in each group, is 38. The overall performance is slightly below the group averages.

The average score of students in the first, second, and third groups are 39, 32, and 43, respectively. There are 24 students in the first group, 26 students in the second group, and 27 students in the third group.

To find the average score of all students, we need to take a weighted average of the scores in each group, with the number of students in each group as the weights.

Here's how to do it: First, we calculate the total number of students:24 + 26 + 27 = 77. Then, we calculate the total score across all students: 39*24 + 32*26 + 43*27 = 936 + 832 + 1161 = 2929

Finally, we divide the total score by the total number of students to get the average score:2929/77 = 38. The average score of all students is 38.

This means that the overall performance of all the students is slightly below the average of the scores in each group.

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By using speed calculation and the Pythagorean theorem, it can be concluded that the contestant is moving down at a rate of 11.8 feet/second.

In speed calculation, speed is defined as the distance traveled in a certain unit of time. Speed can be calculated by dividing the distance by time:

Speed = distance / time

We will need the Pythagorean theorem to solve the problem as well. It says that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the two shorter sides:

c² = a² + b²

Now we take a look at the problem.

The height of the pole = 50 feet

Distance between pole and anchor = 50 feet

Time = 7 seconds

We want to know the speed of a contestant, that is the distance traveled in 6 seconds.

Let c be the distance traveled, a be the height of the pole and b be the distance between the pole and the anchor.

We will use the Phtagorast Theory to find c:

c² = a² + b²

   = 50² + 50²

   = 2500 + 2500

   = 5000

c = √5000

  = 70.7 feet

Rate or speed the contestant moving down the line:

Rate = distance / time

        = 70.7 / 6

        = 11.8 feet/second

Thus, the contestant is moving down at a rate of 11.8 feet/second.

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The equation of line passes through the points (0, -3) and (4, -1) will be;

⇒ y = 1/2x - 3

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (0, -3) and (4, -1)

Now,

Since, The equation of line passes through the points (0, -3) and (4, -1).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 1 - (-3)) / (4 - 0)

m = 2 / 4

m = 1/2

Thus, The equation of line with slope 1/2 is,

⇒ y - (-3) = 1/2 (x - 0)

⇒ y + 3 = 1/2x

⇒ y = 1/2x - 3

Therefore, The equation of line passes through the points ((0, -3) and

(4, -1) will be;

⇒ y = 1/2x - 3

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Answer:

Step-by-step explanation:

6c + 18-4c + 16

Solving like terms

2c + 34

Answer: 2c + 2

6(c + 3) - 4(c + 4)

= 6c + 18 - (4c + 16)

= 6c + 18 - 4c - 16

= 2c + 2

Step-by-step explanation:

Answer:

The correct options are;

A. Construct a perpendicular bisector of the diameter AB

D. Use the compass to draw a circle centered at point C

E. Use the compass to draw two arcs of the same radius centered at point C

F. Use the straightedge to draw diameter AB of the circle

G. Use the straightedge to draw lines connecting the endpoints of the two diameters

Step-by-step explanation:

To draw an inscribed square of a circle, the circle is first constructed. The diameter of the circle is drawn with a straight edge to find the first two vertices of the intended inscribed square. The perpendicular bisector of the diameter is then drawn intersecting the circumference to provide the other two vertices of the square.

The straightedge is then used to draw lines that connect the endpoints of the two diameters to form the inscribed square of the circle.

Answer:

D

Step-by-step explanation:

Since James gave Malcolm a head start of 20 feet, Malcolm's line should start at 20 feet. So that rules out A. They were obviously going further so they went more feet, So C is ruled out because it shows them not moving, plus James didn't get a 15 foot head start which is what the C graph shows. Finally it's not B because if you look at the key at the bottom of every graph, it says that Malcolm is the dotted line, and B shows James getting a 20 foot head start, not Malcolm.

Hope this helps!

The vector v with initial point P(5, 4) and terminal point Q(3, 1) can be expressed in component form as: v = (3 - 5, 1 - 4) = (-2, -3)

To find the vector v, we can subtract the initial point P from the terminal point Q. This gives us: v = Q - P = (3, 1) - (5, 4) = (3 - 5, 1 - 4) = (-2, -3)

The vector v can also be found by using the following formula:

v = (x2 - x1, y2 - y1)

where (x1, y1) is the initial point P and (x2, y2) is the terminal point Q. In this case, we have: v = (x2 - x1, y2 - y1) = (3 - 5, 1 - 4) = (-2, -3)

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Answer:

A quadrilateral is a rectangle