The physics scores of 200 students follow a normal distribution with a mean of 75 and a standard deviation of 7. Which conclusion is best supported by this information?

I believe you only need to know one angle.

For example, if you know angle 1, you can calculate angle 3. Angle 2 = angle 3 and angle 4 = angle 1.

Also, Angle 5= angle 1 and so on...

Answer:

81 1/3 . . . . . (none of the offered choices is appropriate)

Step-by-step explanation:

According to the order of operations, expressions inside parentheses are evaluated first.

= 12[5^2 ÷ (25 -16) +4]

= 12[5^2 ÷ 9 + 4]

Exponentials are evaluated before multiplication or division.

= 12[25 ÷ 9 + 4]

Division is performed before addition

= 12[(2 7/9) +4]

= 12[6 7/9]

And finally, the multiplication is performed

= 72 +84/9 = 72 +9 1/3

= 81 1/3

_____

A Google search box can be relied upon to apply the order of operations when evaluating an arithmetic expression.

== == == == ==

If the problem is ...

... 12[6^2 ÷ (25 -16) +4]

then the result is A. 96.

The sum of the given expressions will be 6x-18.

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

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given expression is (2x−6)+4(x−3). The summation will be calculated as

Sum = (2x-6)+4(x-3)

Sum = (2x-6)+4x-12

Then we combine like terms.

Sum = (2x-6)+4x-12

Sum = 6x-6-12

Sum = 6x-18

Therefore, the sum of the given expressions will be 6x-18.

To know more about an expression follow

https://brainly.com/question/18356625

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slope = - [tex]\frac{2}{3}[/tex]

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

rearrange 2x + 3y = - 12 into this form

subtract 2x from both sides

3y = - 2x - 12 ( divide all terms by 3 )

y = - [tex]\frac{2}{3}[/tex] x - 4 ← in slope- intercept form

with slope m = - [tex]\frac{2}{3}[/tex]

[tex]\text{The slope-intercept form:}\ y=mx+b\\m-slope,\ b-y-intercept\\\\2x+3y=-12\qquad|\text{subtract 2x from both sides}\\\\3y=-2x-12\qquad|\text{divide both sides by 3}\\\\y=-\dfrac{2}{3}x-4\\\\Answer:\ \boxed{m=-\dfrac{2}{3}}[/tex]

The answer is (-5,-6)

Answer:

Option D is correct.

(-5, -6)

Step-by-step explanation:

Ordered pair states that a pair of number that is locate a point on a coordinate plane i.,e (x, y)

Given the line: [tex]2x-3y = 8[/tex]              .....[1]

Option A:

(12, -73)

Substitute the value of x = 12 and y = -73 in [1] we have;

2(12) - 3(-73) = 8

24 + 219 = 8

243 = 8        False.

Similarly for;

Option B

(-2, 4)

2(-2) - 3(4) = 8

-4 -12 = 8

-20 = 8        False.

Option C

(2, 43)

2(2) - 3(43) = 8

4-129= 8

-125= 8        False.

Option D

(-5, -6)

2(-5) - 3(-6) = 8

-10 +18 = 8

8 = 8      True.

Therefore, only (-5, -6) ordered pair is on the line 2x-3y = 8

A=h/2(a+b) solver for h

2A=h(a+b)

2A/(a+b)=h   (Solution)

Put your number into the half-angle formula and simplify.

[tex]\displaystyle\sin{\frac{\theta}{2}}=\pm\sqrt{\frac{1-\cos{\theta}}{2}}=\sqrt{\frac{1-\frac{1}{3}}{2}}\\\\=\sqrt{\frac{1}{3}}=\sqrt{\frac{3}{9}}\\\\=\frac{\sqrt{3}}{3}[/tex]

The appropriate selection is ...

[tex]A)\quad\dfrac{\sqrt{3}}{3}[/tex]

[tex]\frac{11}{18}[/tex]

let n represent the number to be found

simplify the ratio on the right by multiplying both parts by 3

we now have

[tex]\frac{n}{11}[/tex] = [tex]\frac{1}{18}[/tex] ( cross-multiply )

18n = 11 ( divide both sides by 18 )

n = [tex]\frac{11}{18}[/tex]

The complete ratio for __:11= 1/3 :6   is   [tex]\frac{11}{18} : 11 = \frac{1}{3} : 6[/tex]

The given equivalent ratio expression is:

__:11= 1/3 :6

This can be re-written as:

[tex]x : 11 = \frac{1}{3}:6[/tex]

Rewrite the ratio in fraction form:

[tex]\frac{x}{11} = \frac{1}{3} \div 6[/tex]

Change the division sign on the right to multiplication, and 6 to 1/6

[tex]\frac{x}{11} = \frac{1}{3} \times \frac{1}{6} \\\\\frac{x}{11} = \frac{1}{18}[/tex]

Cross multiply:

18x   =  11

Divide both sides bu 18

[tex]\frac{18x}{18} = \frac{11}{18} \\\\x = \frac{11}{18}[/tex]

Therefore, the equivalent ratio is [tex]\frac{11}{18} : 11 = \frac{1}{3} : 6[/tex]

Learn more here:https://brainly.com/question/22493542

Answer:

Step-by-step explanation:

Any equation with a product of variables, or with a variable in an exponent or denominator, is not a linear equation. Here, "product of variables" includes powers and roots—any expression with an exponent other than 1, or a total of exponents other than 1.

The equations x^2 + y = 4 and x/2 - y^3 = 1 are not linear equations because they contain terms with variables raised to powers other than one, whereas - x - y = 2 and x = 5 are linear.

The question involves identifying which equations from the given list are not linear equations. Linear equations are of the form y = mx + b, where m and b are constants. Non-linear equations can include terms with variables raised to powers other than one, variables in the denominator, or variables under a radical.

The given equations are - x - y = 2, x^2 + y = 4, x/2 - y^3 = 1, and x = 5. The second equation, x^2 + y = 4, is not linear because it has a term x squared. The third equation, x/2 - y^3 = 1, is also not linear due to the term y cubed. Both of these equations contain expressions that disqualify them from being linear, as linear equations cannot have variables with exponents other than one. Therefore, these two are examples of a non-linear system of equations.

On the other hand, the first equation - x-y = 2 and the fourth equation, x = 5 are both linear. The first is in the standard linear form after being rearranged, and the fourth represents a vertical line in the xy-plane, which is a special case of a linear equation.

To simplify the expression 12 - 3 * 12 * 10 * 120, follow the order of operations: Multiply 3 * 12, then 36 * 10, then 360 * 120, and finally subtract 12 from the result to get 43,188.

To simplify the expression 12 - 3 * 12 * 10 * 120, you need to follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Multiply 3 * 12 = 36

Multiply 36 * 10 = 360

Multiply 360 * 120 = 43,200

Finally, subtract 12 from 43,200 to get 43,188.

Angle BEC is the unmarked angle in the middle of the figure. Its value is the difference between straight angle AED (180°) and the two marked angles, 57° and 33°. That difference is ...

... 180° - 57° -33° = 90°

∠BEC is a right angle.

Answer:

Right angle

Step-by-step explanation:

We are given that

Angle AEB=[tex]57^{\circ}[/tex]

Angle CED=[tex]33^{\circ}[/tex]

We have to find  the classification of angle BEC

We know linear sum =[tex]180^{\circ][/tex]

Angle AEB +Angle BEC+Angle CED=180

Substitute the values then we get

[tex]57+33+\angle BEC=180^{\circ}[/tex]

[tex]90+\angle BEC=180[/tex]

[tex]\angle BEC=180-90[/tex]

[tex]\angle BEC=90^{\circ}[/tex]

Hence, the angle BEC is right angle

ANSWER

The correct answer is B

EXPLANATION

The first function is

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

We make y the subject to obtain;

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

Let us quickly write this in the vertex form.

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

[tex]y=-(x^2-2x+(-1)^2)+3+(-1)^2[/tex]

[tex]y=-(x-1)^2+4[/tex]

Since the [tex]a[/tex] is negative, the graph opens up.

The vertex is at [tex](1,4)[/tex]

The y-intercept is [tex]-3[/tex]

The x-intercept is found by equating the function to zero.

[tex]-(x-1)^2+4=0[/tex]

[tex]\Rightarrow (x-1)^2=4[/tex]

[tex]\Rightarrow (x-1)=\pm 2[/tex]

[tex]\Rightarrow x=1 \pm2[/tex]

[tex]\Rightarrow x=-1,3[/tex]

With these information we can quickly sketch the graph as shown in the attachment(the red graph).

For the second function,

[tex]x^2+y=0[/tex]

we again make y the subject to obtain,

[tex]y=-x^2[/tex]

This is a basic quadratic function that can be graphed easily. Note that it is also a maximum graph.

From the graph the solution to the two functions is

[tex](-1.5,-2.25)[/tex]

Answer:

B.(–1.5, –2.25)

Step-by-step explanation:

The lateral area of the prism is the area of the three rectangles in the middle of the net. (The two triangles are the bases of the prism, which don't count toward lateral area.) The total length of the three rectangular prism faces is (8 +15 +17) cm = 40 cm. The width of those rectangles is 11 cm. The lateral area will be the product of this length and width:

... lateral area = (40 cm)(11 cm) = 440 cm²

ANSWER

The correct answer is D

EXPLANATION

To graph the inequality

[tex]x+3y\le 6[/tex]

we first graph the corresponding equation,

[tex]x+3y= 6[/tex]

We then test the origin to determine which half-plane to shade the inequality,

[tex]0+3(0)\le 6[/tex]

[tex]0\le 6[/tex]

The above statement is true so we shade the lower half plane.

Next, we graph

[tex]4x+6y\ge 9[/tex]

By first graphing the corresponding equation,

[tex]4x+6y=9[/tex]

Then we test the origin again,

[tex]4(0)+6(0)\ge 9[/tex]

[tex]0\ge 9[/tex]

This statement is false, so we shade the upper half plane

Next, we graph,

[tex]x\ge 0[/tex]

Draw the vertical line [tex]x=0[/tex] and shade to the right.

Finally, we graph,

[tex]y\ge 0[/tex]

Draw the horizontal line [tex]y=0[/tex] and shade the upper region.

the intersection of all the shaded regions is called the feasible region.

The four vertices of the feasible region are

[tex](0,\frac{3}{2}),(0,2),(6,0),( \frac{9}{4},0)[/tex]

Hence the correct answer is D

Answer:

D)

Step-by-step explanation:

Source: Trust me bro

We are given that

point C lies on AB

Let's assume AC=x

we know that

CB=AB-AC

[tex]CB=30-x[/tex]

Point C is 1.5 times farther from point A than from point B

so, we get

[tex]\frac{AC}{CB} =1.5[/tex]

now, we can plug values

[tex]\frac{x}{30-x} =1.5[/tex]

now, we can solve for x

[tex]x=1.5\left(30-x\right)[/tex]

[tex]x=18[/tex]

so, we get

[tex]AC=18[/tex]

now, we can find CB

[tex]CB=30-18[/tex]

[tex]CB=12[/tex]

so, we get

[tex]AC=18[/tex]

[tex]CB=12[/tex]...............Answer

1 and a half is the correct answer (1 1/2) for the first one, for the second one it is D, and for the third one it is A.

Let's add both of the fractions together. They at 2 slices of pumpkin pie, and 3 slices of pecan pie. The fractions of these is 2/8 and 3/8. Added together, this is 5/8, so I believe this is your answer.

For this one, we can simply multiply the total acres by the cost per acre. 1240*52 is 64,480, so your land is worth a total of $64,480.

For this question, all we need to do is multiply the number of gallons Shelly's car can hold by the price per gallon. 14*3.56 is 49.84, so she'll be spending $49.84 to fill up her tank.

It is 6561 because 3^12 is 531441 and 3^4 is 81 so when you divide you get 6561.

SOH CAH TOA tells you ...

... Tan(θ) = Opposite/Adjacent

You have ...

... Tan(θ) = (3)/(4)

Matching parts of the two expressions, we see ...

... Adjacent = (4)

_____

In the context of this problem we might reasonably assume that the adjacent side length is 4 units. In any other context, the best we might say is that it is 4/3 times the length of the opposite side.

A number and its absolute value are not equal when the number is less than zero. Since subtracting 2 makes the number less than zero, we know ...

... the number is a non-negative number less than 2. (0 ≤ n < 2)

How does the $100 gift card affect the measure of center of the data?

It increases the mean value of the prizes.

It decreases the mean value of the prizes.

It increases the median value of the prizes.

It decreases the median value of the prizes.

Answer: The correct option is A, itis the product of the initial population and the growth factor after h hours.

Explanation:

From the given information,

Initial population = 1000

Increasing rate or growth rate = 30% every hour.

No of population increase in every hour is,

[tex]1000\times \frac{30}{100} =1000\times 0.3[/tex]

Total population after h hours is,

[tex]1000(1+0.3)^h[/tex]

It is in the form of,

[tex]P(t)=P_0(t)(1+r)^t[/tex]

Where [tex]P_0(t)[/tex] is the initial population, r is increasing rate, t is time and [tex(1+r)^t[/tex]  is the growth factor after time t.

In the above equation 1000 is the initial population and [tex](1+0.3)^h[/tex] is the growth factor after h hours. So the equation is product of of the initial population and the growth factor after h hours.

Therefore, the correct option is A, itis the product of the initial population and the growth factor after h hours.

Answer:

the answer should be A

Step-by-step explanation:

As can be clearly seen from the graph provided, the line of the linear regression passes through the point (2006, 1200). Thus, we can easily say, using linear regression, to predict the number of reported robberies that occurred during 2006 will be 1200.

Therefore, out of the given options, Option B is the correct option.

________________________________________________________
                Linear Regression - Line of Best Fit Quick Check
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1. The city of Harmonville created a scatter plot to illustrate the number of robberies that have been reported there over the past several years. Use linear regression to predict the number of reported robberies that occurred during 2006.

Answer:
B. 1,200
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2. Find the equation of the line of best fit for the points (−4, 10), (−1, 5), (2, −1), (3, −6), and (5, −7).

Answer:
A. y = -2x + 2
----------------------------------------------------------------------------------------------------------
3. What is the significance of a correlation coefficient of -0.97?

Answer:
A. The points all lie very close to the line of best fir, and the line is decreasing.
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These are all 100% correct. You're Welcome!
________________________________________________________

The equation of the given line, y = 3x - 2, is written in slope-intercept form:

... y = mx + b

where m represents the slope and b is the y-intercept.

Matching the form to the given equation, you see m = 3, and b = -2. The slope of the given line is 3.

The slope of a line perpendicular to it will be the negative reciprocal of this value

... slope of perpendicular line = -1/m = -1/3

For some new value of b, the equation of the perpendicular line can be written

... y = (-1/3)x + b

Filling in the values of the point coordinates, we can find the appropriate value of b.

... 4 = (-1/3)(3) +b

... 4 = -1 + b . . . . . . . simplify

... 5 = b . . . . . . . . . . add 1

Then the equation you want is ...

... y = (-1/3)x + 5

Answer:

(-1,-6) , (7,0) and (11,3)

Step-by-step explanation:

3x - 4y = 21

4y = 3x - 21

y = 3/4x - 21/4 , the slope(m) of this line is 3/4

The x and y intercepts are (0,-5.25) and (7,0)

Taking a point (-3,3):

Slope(m) = change in y ÷ change in x

Slope = (3 - 0) ÷ (-3 - 7) = -0.3

Since the slope here is not 3/4 then point (-3,3) is not on the line.

Taking a point (-1,-6)

Slope = (-6 - 0 ) ÷ (-1 - 7) = -6/-8 = 3/4

The point (-1,-6) is on the line.

Taking a point (7,0):

This point is the x - intercept and so its on the line.

Taking a point (11,3):

Slope = (3 - 0) ÷ (11 - 7) = 3/4

Therefore the point (11,3) is on the line.

Answer:

wut that dude said is correct i verified it

Step-by-step explanation:

A. 12 sandwiches. He can buy 12 because 6*12=72. He already has the chips at 15.00. So 72+15=87. Close to the amount of $90.00

n = 28

to evaluate the expression, perform the multiplications before subtraction

( 5 × 28 ) - ( 3 × 4 ) = 140 - 12 = 128

f(x)=4x^3 - 6x^2 + 2x - 5

f(-2)

Replace X with -2:

4(-2)^3 - 6(-2)^2 + 2(-2) - 5 =

Calulate the powers:

4(-8) - 6(4) +(-4) -5=

Multiply:

-32 - 24 -4 -5=

Subtract

-65

for every member to get a shirt you would need to order 9 packages of shirt (because 5 times 9 is 45) and for caps the minimum to order would be 15 packages of caps

explanation

caps=3 per package

shirts=5 per package

divide 45 by and get 15

15 is the total packages of hats needed to order

for shirt 45 divided by 5 is 9

9 is the total packages of shirts needed to order

Answer:

15 pack of caps n 9 pack of shirts

Step-by-step explanation:

There are 45 science club members.

If the caps come in packages of 3, least no. of package of caps is 45/3=15

If the shirts come in packages of 5, least no. of package of caps is 45/5=9

(1)

since both equations express y in terms of x, equate the right sides

- 2x = - 4x + 10 ( subtract 4x from both sides )

2x = 10 ( divide both sides by 2 )

x = 5

substitute x = 5 into y = - 2x → y = - 10

solution is : (x, y ) → (5, - 10 )

(2)

equate the right sides of both equations

3x = 2x - 7 ( subtract 2x from both sides )

x = - 7

substitute x = - 7 into y = 3x → y = - 21

solution is : (x, y) → (- 7, - 21)

(3)

substitute y = - 8 into the other equation

- 8 = 6x + 22 ( subtract 22 from both sides )

- 30 = 6x ( divide both sides by 6 )

x = - 5

solution is : (x, y ) → (- 5, - 8 )