what is the median of this data set

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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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:

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:

±√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:

a = 120°

b = 60°

Step-by-step explanation:

Angle a and 60° are suplementary. The sum of supplementary angles is 180° (straight angle).

a + 60° = 180°

a = 180° - 60°

a = 120°

The sum of angles in the quadrilateral is 360°. Notice how two of the angles in the quadrilateral are marked as right angles (angles marked with a square). Each of them is 90°.

b + 90° + a + 90° = 360°

Substitute a with the value calculated in the previous step.

b + 90° + 120° + 90° = 360°

Solve for b.

b + 300° = 360°

b = 60°

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:

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

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 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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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:

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.

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:

(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:

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

Step-by-step explanation:

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:

2

Step-by-step explanation:

Mrs. Nygaard need 2 hours to work over the weekend to finish grading the projects

The equation that can be paired with x + 2y = 5 to create an inconsistent system is given by:

2x + 4y = 3.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

An inconsistent system is a system that has no solutions, and it happens when the coefficients of x and y are multiples, and the independent terms are not.

Hence:

x + 2y = 5.

2x + 4y = 3.

Is inconsistent, as the variables are each multiplied by 2, but the independent term is not.

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Answer:

A

Step-by-step explanation:

Edge.

Answer:

The range of x is all real numbers including 0 to infinity, making this x ≥ 0

Answer:The range of x is all real numbers including 0 to infinity, making this x ≥ 0

Step-by-step explanation:

Answer:

67.5 cm^2

Step-by-step explanation:

we know the length and width of the rectangle and the triangle in the compound shape.

The area of the rectangle is 10 times 5 = 50

the area of the triangle is

17-10 = 7

7 times 5 is 35

35/2 = 17.5

50 plus 17.5 = 67.5 cm^2

Answer: 67.5

Step-by-step explanation:  Since this is a irregular shape, you have to split the two shapes.  The rectangles area is 50, and the triangles is 17.5.

To find the area of a triangle multiply 1/2 × base × height

To find the area of a rectangle multiply base × height

Answer:

The answer is your opinion.

Step-by-step explanation:

Based on the information given about the Angley marathon, Joe can summarize the message as "Run the Angley marathon for free if A ≥ £850"

Raise at least £850 and run the Angley marathon for free

let

Joe can summarize the message like this:

Run the Angley marathon for free if A ≥ £850

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Answer:

which first pagee???There is no any first page????

[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]

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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Answer:

Step-by-step explanation:

Answer: it’s A and C (45 ft and 37 ft) I think

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!

Answer:

735mm³

Step-by-step explanation:

V=A of base×h

=49×15

=735mm³