At the last basketball game, 12 out of the first 48 people who entered the stands were wearing a coat. If this sample is representative of the 200 people attending the game, about how many would you expect to be wearing a coat?

Question 10 options:

A. 70


B. 40


C. 50


D. 60

Answer:

13 is the answer to 8 less than a number

Answer:

y = -6x + 7

Step-by-step explanation:

To write an equation of the line passing through the point (2,-5) with a slope of m = -6, we can use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

Where (x1, y1) is the given point and m is the slope.

Substituting the given values, we get:

y - (-5) = -6(x - 2)

Simplifying:

y + 5 = -6x + 12

y = -6x + 7

y = -6x + 7

Therefore, the equation of the line passing through the point (2,-5) with a slope of m = -6 is:

y = -6x + 7

The answer is:

Work/explanation:

First, I will write the equation in point slope

\(\mapsto\phantom{333}\bf{y-y_1=m(x-x_1)}\)

WHERE:

m = slope

(x₁,y₁) is a point

________

Plug in the data:

\(\boxed{\large\begin{gathered}\bf{y-(-5)=-6(x-2)}\\\bf{y+5=-6x+12}\\\bf{y=-6x+12-5}\\\bf{y=-6x+7}\end{gathered}}\)

1. The linear function that models his distance from Washington, D.C. as a function of time, in hours, is:

d(t) = 109.5 - 55t.

2. The time it will take him to arrive at a rest stop that is 60.2 miles from Richmond, VA is of: 0.9 hours = 54 minutes.

The slope-intercept representation of a linear function is given by the equation shown as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

In the context of this problem, these parameters are given as follows:

Hence the function is:

d(t) = 109.5 - 55t.

The time it will take him to arrive at a rest stop that is 60.2 miles from Richmond, VA is t when d(t) = 60.2 hence:

60.2 = 109.5 - 55t.

55t = 109.5 - 60.2

t = (109.5 - 60.2)/55

t = 0.9 hours = 54 minutes.

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Answer:

x = pm - pn

Step-by-step explanation:

m = n + \(\frac{x}{p}\)  Subtract n from both sides

m - n = n - n + \(\frac{x}{p}\)

m-n = \(\frac{x}{p}\)   Multiply both sides by p

p(m - n) = (\(\frac{p}{1}\)) \(\frac{x}{p}\)          \(\frac{p}{1}\) means the same as p

pm - pn = x             Distribute the p

x = pm - pn

Answer:

hope this helps

Answer: x = 4.5,  y = -4.5/3

Step-by-step explanation:

5x+y = 21 ---- 1

x - 3y = 9 ----- 2

Using Elimination Method, we can solve for x,

Multiply Eq 1 with 3-

15x+3y = 63

(1) + (2)

15x+3y = 63

x - 3y = 9

___________

16x = 72

x = 4.5

Hence, putting x in Eq 2, gives us y = -4.5/3

How to find input and output from the co-ordinates on the graph?

Here the co-ordinate having x=2 is

So the output is 0

Every pair have ( x , y ) which means x is input and y is output .

Here , input is 2 (x)

then , let output be y ( indicate with 0 )

So , the co- ordinates are ( x , y ) = ( 2 , 0 ) .

Answer:

2x + 11

Step-by-step explanation:

We are given

6 - 2x + 5 + 4x

Combining like terms with x, we have

6 + 5 + 2x

Combine like terms again, this time constants

11 + 2x

Answer: 64

Step-by-step explanation:

8x=

8(8)=

8*8=64

Answer:

64

Step-by-step explanation:

To solve this equation, we have to plug 8 into x.

Plug 8 into x and multiply

8(8)

= 64

Take care and have a lovely rest of your day! :)

Answer: a - 0.3.

Step-by-step explanation;

Let a represent the number of miles that Alicia ran. The equation will be this: a - 0.3. You will subtract 0.3 from the number of miles that Alicia ran because her amount is 0.3 miles farther than what Henry ran.

Solution

Step 1

A)The domain refers to all real values of x for which the function is defined. The values of x for which the function is undefined are not a part of the domain. If you are given the equation then you can find the domain of that function by solving/ factorizing the denominator of the equation to find the zero(s) of the equation in the denominator. These values gotten are the values of x that will make the function undefined and hence are not part of the domain. Every other real value of x apart from these zero(s) obtained is part of the domain.

B)

Step 1

Factorize the denominator of the equation to find the zeroes of the equation

Step 2

Find the required factors to replace 13x and is equal to -90x²

Step3

Replace 13x with these factors

Step 4

Factorize the equation and find the values of x

Hence, the domain of the function is all real values of x except -3 and 5/6

Answer:-

here's the answer

The number of triangles for every 3 circles is given as follows:

C. 5.

The number of triangles for every 3 circles is obtained applying the proportions in the context of the problem.

From the figure, we have that:

Hence the number of triangles per circle is given as follows:

10/6 = 5/3.

Hence the number of triangles for 3 circles is given as follows:

3 x 5/3 = 5.

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Answer:

P(1≤X≤3) = 0.5974

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\(\mu\) is the mean in the given interval.

Mean of 3

This means that \(\mu = 3\)

P(1≤X≤3) ?

\(P(1 \leq X \leq 3) = P(X = 1) + P(X = 2) + P(X = 3)\)

So

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

\(P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494\)

\(P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240\)

\(P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240\)

So

\(P(1 \leq X \leq 3) = P(X = 1) + P(X = 2) + P(X = 3) = 0.1494 + 0.2240 + 0.2240 = 0.5974\)

The difference of a number and 2:  x-2

Twice the difference of a number and 2:  2(x-2)

Is 9.

2(x-2) = 9

2x - 4 = 9

2x = 13

x = 13/2 = 6 1/2

The dimensions will be x = 7.5 cm and y = 7.5 cm where x is the side of the base and y is the height of the solid.

We are given that:

The solid has a square base.

So, the area of the base will be:

A = x²  ( where x = side of the square)

Also, it is a rectangular solid, so let the height be y.

Volume will be:

V = x² × y

V = x²y

The surface area is given as:

S = 337.5 cm²

x² + x² + xy + xy + xy+ xy = 337.5 cm²

2x² + 4 x y = 337.5 cm²

y = (337.5- 2 x²) / (4 x)

Plug into the equation of volume:

V = x² (337.5- 2 x²) / (4 x)

V = (337.5 x- 2 x³) / 4

Differentiate with respect to x:

V' = (337.5 - 6 x²) / 4

Put it equal to 0:

337.5 - 6 x² = 0

x² = 337.5 / 6

x = ±7.5

Dimension will be:

x = 7.5 cm ( as it cannot be negative)

y = 7.5 cm.

Therefore, the dimensions will be x = 7.5 cm and y = 7.5 cm where x is the side of the base and y is the height of the solid.

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Your question was incomplete. Please refer the content below:

A rectangular solid (with a square base) has a surface area of 337.5 square centimeters. Find the dimensions that will result in a solid with maximum volume.

Answer:

310

Step-by-step explanation:

well it was already at 215 as it rose it increased by 95 now we would add that wich equals

215+95=310

Answer:

310 feet

Step-by-step explanation:

215+95=310 feet

Answer:

right now in Bonny

Step-by-step explanation:

am so sorry for your prayers

hope it helps

Answer:

Really you can do that next time send a picture of what it says. :) That would help.

Step-by-step explanation:

Just do what it says maybe show it for help then graph them. Your welcome :)

Answer:

\(A_f=470ft\)

\(P_f=88ft\)

Step-by-step explanation:

From the question we are told that:

Width of Portrait \(w=10inches\)

length of Portrait \(l=13inches\)

Frame each \(l_W=21/4inch each\)

Generally the equation for area of portrait A is mathematically given by

\(A=w*l\\A=10*13\\A=130m^2\)

Generally the equation for Perimeter of portrait is mathematically given by

\(P=2(w+l)\\P=2(10+13)\\P=46m\)

Generally the equation for area of portrait  with frame is mathematically given by

\(A=w_f*l_f\)

where

w_f=width of portrait with frame

\(w_f=2*21/4+w\\w_f=2*21/4+10\\w_f=20.5ft\)

l_f=Length of portrait with frame

\(l_f=2*21/4+l\\l_f=2*21/4+13\\l_f=23.5ft\)

Therefore Area of picture with frame

\(A_f=w_f*l_f\)

\(A_f=20.5*23.5\)

\(A_f=470ft\)

Generally the equation for Perimeter of portrait is mathematically given by

\(P_f=2(w_f+l_f)\\P_f=2(20.5+23.5)\\P_f=88ft\)

The expression is simplified to n - 16/ 4

Algebraic expressions are expressions comprising of terms, variables, factors, constants and coefficients.

They are also made up of mathematical operations such as addition, subtraction, multiplication, division, bracket, etc.

Given the expression;

− 3/2(1/2 n+2n−3)+4n

Solve the variables in the bracket, we have;

- 3/ 2 {   n + 4n - 6 / 2} + 4n

-3/2 { 5n - 6/ 2 } + 4n

expand the bracket

- 15n - 18/ 4 + 4n

Fin the LCM

-15n - 16 + 16n  /4

n - 16/ 4

Thus, the expression is simplified to n - 16/ 4

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Answer:

f(5) = 3(5+2) - 8

f(5) = 15+6 -8

f(5) = 21 - 8

f(5) = 13

Answer:

r = -6.1

Step-by-step explanation:

-7.8 = 4.4 + 2r

To get r, you need to isolate the variable

Subtract the 4.4 from both sides

-7.8 - 4.4 = 4.4 + 2r - 4.4

4.4 cancels out on the right

-12.2 = 2r

Divide both sides by 2

-12.2/2 = 2r/2

-6.1 = r

Answer:

  angle 5

Step-by-step explanation:

Given transversal x crossing lines y and z and angles numbered 1 to 8, you want the number of the angle that is an alternate interior angle to angle 4.

In this context, "alternate" mean the angles are on opposite sides of the transversal. "Interior" means the angles are between the lines the transversal crosses.

The term "alternate interior angles" is used to refer to angles that have their vertices at the intersection points where the two lines cross the transversal. (It excludes angles that have the same vertex, or do not share a side.)

The angle that is an alternate interior angle relative to angle 4 is angle 5.

Independent events are not affected by previous events, that is, the probability of a new event doesn't change from the previous event. However, disjoint sets mean they don't have any data in common, which means the intersection of such sets is impossible. In other words, the events are exclusive, if one occurs, then the other can't occur.

Having said that, we can deduct that scenario 1 represents an independent exclusive event because the occurrence of one event excludes the other. The main reason is that there's just one orange marble.

Answer:

n=(S/2)-u

Step-by-step explanation:

First, let's isolate 2n.

S-2u=2n

Let's divide both sides by 2.

(S/2)-u=n

n=(S/2)-u

Answer:

n= S/2 -vu

Step-by-step explanation: