Which of the following expressions is equivalent to 14xy – 28x – 36y + 48? 2(7x – 6)(y – 2)(3y + 4) 2(7x – 6)(y – 2)(3y – 4) 2[7x(y – 2) – 6(3y – 4)] 2[7x(y – 2) – 6(3y + 4)]

The weight of the 8th girl in the class is 43 kg

The given parameters are:

Mean weight = 35 kg

Weight of 7 girls = 35kg, 28kg, 43kg, 25kg, 33kg, 51kg, and 22kg

Let the weight of the 8th girl be x.

Mean is calculated using:

Mean = Sum/Count

So, we have:

(35+ 28+43+25+33+51+22 + x)/8 = 35

Evaluate the sum

(237 + x)/8 = 35

Multiply both sides by 8

237 + x = 280

Subtract 237 from both sides

x = 43

Hence, the weight of the 8th girl is 43 kg

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Answer:

negative correlation

Step-by-step explanation:

If you were to draw a line of best fit (a line that best expresses the relationship between a group of points), it would have a negative slope.

The probability you spin something larger than 10 will be 1  /  2.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The given data is:-

The probability will be calculated as:-

Total numbers = 8

Numbers greater then 10 are = 13 , 16 , 22 , 42 = 4

Probability  =  4  /  8  =  1  /  2

Therefore the probability you spin something larger than 10 will be 1  /  2.

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Answer:

Step-by-step explanation:

Formula

The sin(A) =  opposite / hypotenuse

Givens

Opposite = CB = 11

Hypotenuse = AB = 61

Solution

Sin(A) = 11/61

Sin(A) = 0.1803

Answer

Sin(A) = 11/61

Sin(A) = 0.1803

The number of people attended dinner is 102.

An equation is a mathematical statement when two algebraic expressions are equated by an equal sign.

It is given in the question that

An awards dinner costs $225 plus $5 for each person making reservations

the total bill is $735

people attended the dinner = ?

Let x number of people attended the dinner

$225 + $5 * x = $735

5x = 735-225

5x = 510

x = 102

Therefore , 102 people attended the dinner.

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Answer:

The answer is your opinion.

Step-by-step explanation:

Answer:

5 m/min

Step-by-step explanation:

Initial speed = 6 m/ min

Final speedd = 4 m/ min

[tex]Average\:speed\:=\:\dfrac{total\:speed}{2}[/tex]

Average speed = [tex]\dfrac{ 6 + 4}{2}[/tex]

Avg. Speed = 5 m / min.

The values of x and y that satisfy this system of equations are 10 and 5 respectively

Given the system of equations

x + y = 20

3x - 3y = 30

_____________________

x + y = 20

x - y = 10

Add the equations

2x = 20 + 10

2x = 30

x = 30/2

x = 15

Substitute

x -y = 10

15 - y = 10

y = 5

Hence the values of x and y that satisfy this system of equations are 10 and 5 respectively

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The translation of the function y = 2(x - 15)² to y = 2(x - 11)² + 3 is; 4 units to the left.

We are given the graph function;

y = 2(x - 15)²

Now, the function above was translated to get;

y = 2(x - 11)² + 3

Now, when we translate a graph to the right, we subtract from the x-value, but if we move the graph to the left, we subtract from the x-value. Thus;

The translation was 4 units to the left.

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Answer:

I think its 1/6 and if I'm wrong I'm very sorry but I think its 1/6

Step-by-step explanation:

Answer:

it's [tex]7* \frac{1}{6} =\frac{7}{6}[/tex]

Step-by-step explanation:

Yeah same, have a great day I guess i don't know I'm not in the mood

Using the normal distribution, it is found that 1851 people would have an IQ less than 115.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 100, \sigma = 15[/tex]

The proportion of IQ scores less than 115 is the p-value of Z when X = 115, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{115 - 100}{15}[/tex]

Z = 1

Z = 1 has a p-value of 0.8413.

Out of 2200 people:

0.8413 x 2200 = 1851.

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Answer:

1851

Step-by-step explanation:

if its a whole number than its 1851

Answer:

this can not be solved by X cause the equation is not equal to anything

Step-by-step explanation:

Please find attached the image of the graph that models the function.

A graph is a pictorial representation of data. A graph is made up of the x-axis and the y-axis.  On this graph, the number of years is on the y-axis and the profit is on the x-axis.

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Answer: other dude is correct

Step-by-step explanation:

Answer:

its the first one

Step-by-step explanation:

In a quadratic function, the second differences are the same.

In the first table, the first differences are:

3-6 = -3;

2-3 = -1;

3-2 = 1;

6-3 = 3

The second differences are then:

-1--3 = 2;

1--1 = 2;

3-1 = 2

The second differences are the same, so this is a quadratic function.

Answer:

(y - 6)(y + 8)

Step-by-step explanation:

Find two numbers that add to 2 and multiply to -48. Then put them in the form above. Afterwards, use FOIL (First, Outside, Inside, Last) to check the factoring and you get: y² + 2y - 48

Have a great day! :)

Answer:

−8, 6

Step-by-step explanation:

Write the factored form using these integers. (y−8) (y+6)

Answer:

Below in bold.

Step-by-step explanation:

The 3 angles add up to 180 degrees as they are in a triangle.

So 10x - 33 + 4x - 19 + 100 - 2x = 180

12x = 180 + 33 + 19 - 100

12x = 132

x = 11.

So the 3 angles are

10(11) - 33 = 110 - 33 = 77 degrees

4(11) - 19  =  25 degrees

100 - 2(11) = 78 degrees

The dilation factor for the question should be 1/2 as per options

So

dilated lengths are

Option D

Answer:

D

Step-by-step explanation:

Figure A is dilated by a scale factor of 1/2.

Hence, new dimensions will be :

⇒ 1/2 × 2 = 1 inch

⇒ 1/2 × 4 = 2 inches

⇒ 1/2 × 1 = 0.5 inch

⇒ 1/2 × 5 = 2.5 inches

Option D has the right dimensions

Answer:

735mm³

Step-by-step explanation:

V=A of base×h

=49×15

=735mm³

Answer:

±√177/2+11/2

Step-by-step explanation:

Use the formula (b/2)^2 in order to create a new term. Solve for x by using this term to complete the square. Exact Form:x=±√177/2+11/2

x=12.15206734…,−1.15206734…

Answer:

30.25

Explanation:

Quadratic Equation: x² - 11x - 14 = 0

Number added = (b/2)² = (-11/2)² = 30.25

Solving Steps:

[add both sides by 30.25]

[complete square]

[exchange sides]

Answer:

the other two angles are 70° and 20°

Step-by-step explanation:

The measures of a right triangle where one of the acute angles is 3.5 times the other angle, the angles are respectively, 20°, 70°, 90°

The sum of all the interior angles of a triangle is 180°

Given that,

A right angle triangle,

In which one of the acute angle is 3.5 times the other triangle

Suppose, one of the acute angle = x

then the other triangle = 3.5x

The sum of the triangle = 180°

x + 3.5x + 90° =180°

4.5x  = 180 - 90

        =  90

x   = 90/4.5

    = 20

The one acute angle = 20

The another triangle  = 3.5 x 20

                                    = 70

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[tex]4\div\cfrac{5}{7}\implies \cfrac{4}{1}\div\cfrac{5}{7}\implies \cfrac{4}{1}\cdot \cfrac{7}{5}\implies \cfrac{28}{5}\implies 5\frac{3}{5}[/tex]

Answer:

  20

Step-by-step explanation:

The proceeds from the sale can be described by an equation involving the original number of computers.

__

Let n represent the number of computers the school originally had. Then n-5 is "all but 5" and is the number sold. Each is sold for ₹1200, and the value of the sale is ₹18000. This can be expressed by the equation ...

  (n -5)×1200 = 18000

__

This 2-step linear equation can be solved by dividing by the coefficient, and adding the opposite of the constant.

  n -5 = 18000/1200 = 15 . . . . . divide by 1200

  n = 15 +5 = 20 . . . . . . . . . . add the opposite of -5

The school originally had 20 computers.

Answer:

I'm getting stuck by

[tex] = lim \: \: \: \: \: \: \frac{ {h}^{ \frac{1}{5} } }{h} \\ h > 0[/tex]

Sorry I can't help you out, if you find the answer through FP lmk

Answer:

x = 2/3

Step-by-step explanation:

5x + 3 - 2x = 5

3x = 5-3

3x = 2

x = 2/3

give brainliest please!

hope this helps :)

Answer:

C

Step-by-step explanation: It's vertical to the angle, together it makes 368 degrees

Answer:

C) Angle HIA

Step-by-step explanation:

Vertical Angles are the angles directly across from each other in a transversal. In this case, angled EID and HIA are vertical to each other (which also makes them congruent).

Hope it helps!

The equation that's illustrated simply depicts an investment as it shows the principal, and interest rate.

It should be noted that an investment simply means a dedication of an asset in order to increase the value over a period of time.

In this case, the equation that's illustrated simply depicts an investment as it shows the principal, and interest rate. To calculate the investment, the time, amount and rate will be considered.

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