The graph of a normal curve is given. Use the graph to identify the value of and . μ sigma

The possible numbers that Melody could have picked are -4 and 4.

The operation that prevents us from knowing with 100% certainty the number Melody had picked is multiplication which is implied by the phrase "double the number".

Given, Let x be the number Melody had chosen.

Thus, tripling the number will give 3x, and

squaring this will result to (3x)² which is equals to 9x².

Dividing the square of the number by 2 and subtracting 30 from its quotient will give 42:

9x²/2 ₋ 30 = 42

9x²/2 = 42 ₊ 30

9x²/2 = 72

9x² = 72 × 2

9x² = 144

x² = 144/9

x² = 16

x = ±√16

x = ±4

x = ₊4 or x = 4

hence melody could have picked ₊4 or ₋4 numbers.

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The solution of the expression [f(x) - f(a)] / (x - a) will be [-7 / (a + 5)(x + 5)].

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The function is given below.

f(x) = 7 / (x + 5)

The difference quotient in the form [f(x) - f(a)] / (x - a) will be

[tex]\rm \rightarrow \dfrac{f(x) - f(a)}{x - a}\\\\\rightarrow \dfrac{\frac{7}{x + 5} - \frac{7}{a + 5}}{x - a}\\\\\rightarrow \dfrac{7 \left ( \frac{a + 5 - x - 5}{(x + 5)(a + 5)} \right )}{x - a}\\\\\rightarrow \dfrac{7(a - x)}{(x - a)(x + 5)(a + 5)}[/tex]

Further, simplify the expression, then we have

⇒ - 7 / (x + 5)(a + 5)

The solution of the expression [f(x) - f(a)] / (x - a) will be [-7 / (a + 5)(x + 5)].

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Answer:

9, 892, 846, 437

Step-by-step explanation:

9 billion = 9,000,000,000

8 hundred million = 800, 000, 000

9 ten million = 90, 000, 000

2 million = 2, 000, 000

8 hundred thousand = 800, 000

4 ten thousand = 40, 000

6 thousand = 6000

4 hundred = 400

3 ten = 30

7 one = 7

Add them all together = 9, 892, 846, 437

Hope this helped! ^^

The meaning of the terms and factors in the expression are

The expression is given as

180 + 15x

The above expression can be split as follows:

The meaning of the above terms and factors are

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The range that would be the most approx to represent the numerical data on the vertical axis is B. 20 to 100.

Bar graph :

Bar graphs are the pictorial representation of data (generally grouped), in the form of vertical or horizontal rectangular bars, where the length of bars is proportional to the measure of data

The range that would be the most approx to represent the numerical data on the vertical axis is B. 20 to 100.

because

it is not possible to have zero number of cars that have a particular color,

in That way, we can eliminate options C and D .

in option A the range is too small which is not possible.

the table is not included but the range of 20 to 100 is most appropriate for the number of cars in town with a particular color.

this is because towns would normally have between hundreds and thousands of cars which means that cars of a particular color would be between 20 and 100 at least.

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The range that would be the most approx to represent the numerical data on the vertical axis is B. 20 to 100.

Bar graph :

Bar graphs are the pictorial representation of data (generally grouped), in the form of vertical or horizontal rectangular bars, where the length of bars is proportional to the measure of data

The range that would be the most approx to represent the numerical data on the vertical axis is B. 20 to 100.

because

it is not possible to have zero number of cars that have a particular color,

in That way, we can eliminate options C and D .

in option A the range is too small which is not possible.

the table is not included but the range of 20 to 100 is most appropriate for the number of cars in town with a particular color.

this is because towns would normally have between hundreds and thousands of cars which means that cars of a particular color would be between 20 and 100 at least.

Wrong question.....................

Answer:

scale factor from A to B = 3

Step-by-step explanation:

the scale factor is the ratio of corresponding sides, image to original

scale factor = [tex]\frac{9}{3}[/tex] = 3 ( measure of horizontal sides )

She will need 11 containers.

From the information, Sue has a 8 cups of flour and needs to fill it equally in containers that hold 3/4 of a cup each.

The containers needed will be:

= 8 ÷ 3/4

= 8 × 4/3

= 32/3

= 11

He will need 11 containers.

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Answer:

The answer to your question is 16

The variance and standard deviation for the frequency of pupils per teacher in some states of US is; Variance= 4.62 = 4.6 and Standard Deviation = 2.14 = 2.1

Variance(σ²) is a measure of dispersion. A measure of dispersion is a quantity that is used to check the variability of data about an average value. Data can be of two types - grouped and ungrouped. When data is expressed in the form of class intervals it is known as grouped data.

The standard deviation(σ) of a random variable, is the square root of its variance. It is algebraically simpler, though in practice less robust, than the average absolute deviation.

That means;

Standard Deviation = √variance.

For the given data the sum of frequencies = 1+16+11+7+1+2= 38.

Midpoint is 12,15,18,21,24,27.

ni x mi = 12,240,198,147,24,54.

Sum of ni + mi = 675.

Mean (u) =  17.76

mi - u is -5.76,-2.76,0.24,3.24,6.24,9.24.

(mi - u)² is 33.17,7.61,0.057,10.49,38.93,85.37.

Sum of (mi - u)² = 175.62.

Variance = Sum of (mi - u)² / sum of frequencies

= 175.62/38

= 4.62 = 4.6.

Standard deviation = √variance.

= √4.62

= 2.14 = 2.1.

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Answer:

300 and 30 respectively

Step-by-step explanation:

The 3 in each number can be valued at 3 with the same number of 0s as there are digits to the right of the 3.

For example, in 6300, the 3 stands for 300 because there are two digits (0 and 0) to the right of 3. So we know 3 stands for 300 because we add two 0s to the right of 3.

If the axis of symmetry for g(x) is located 2 units to the right of the origin, then the function g(x) = (x-2)2 +k describes this relationship. The best choice would be A in this case.

The function is a statement, rule, or law that specifies the connection between one variable and another variable. It does this by comparing and contrasting the two variables.

Functions may be found almost everywhere, and creating links between physical objects requires their use.

Given

The answer to the question f(x) is.

(x+3)^2 -10

The left side by three units serves as the axis of symmetry for the function f(x).

The axis of symmetry for g(x) may be found five units to the right of where f is located (x).

If this is the case, the axis of symmetry for g(x) will be found 2 units to the right of the origin.

After that, the expression for g(x) will be g(x) = (x-2)2 +k.

Therefore, option A is the one to choose.

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Reason: It's 3 spaces from J to K, or vice versa.

We can subtract and use absolute value to get the same result

|J - K| = |-7 - (-4)| = |-7 + 4| = |-3| = 3

or

|K - J| = |-4 - (-7)| = |-4 + 7| = |3| = 3

Answer:

38.13 m²

Step-by-step explanation:

area of triangle = 1/2 base × height

                          = 1/2 × 4 × 3

                          = 6 m²

Area of rectangle = length ×  width

                             = 6 × 3

                             = 18m²

Area of semi circle = 180/360 × π × radius²

                               = 180/360 × 3.14 × 3²

                               = 14.13 m²

Add all the areas together

6 + 18 + 14.13 = 38.13

Answer:

10°C

Step-by-step explanation:

F = 50

C = 5/9 * (F - 32) = 5/9 * (50 - 32) = 5/9 * 18 = 5 * 2 = 10

The simplified fraction is [tex]\frac{1}{9^{20} }[/tex].

The fraction is [tex]\frac{9^{4} }{9^{24} }[/tex], we have to solve the fraction in the simplest form

[tex]\frac{9^{4} }{9^{24} }[/tex]

[tex]9^{4-24}[/tex]

As we know that, [tex]a^{m}[/tex]/[tex]a^{n}[/tex]= [tex]a^{m-n}[/tex]

[tex]9^{-20}[/tex]

1/[tex]9^{20}[/tex]

Therefore the simplified value is 1/[tex]9^{20}[/tex] which is in the form of a fraction.

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Answer:

Step-by-step explanation:

2 + (-5)

just like subtracting

2-5

=-3

Answer:

-3

Step-by-step explanation:

I have had this question before, and -3 is the answer.

Measure of linear pair A and B are 86 and 38 respectively.

Let the measure of  B = x

And measure of  A = 3x – 28

As  A and B are linear pair. Therefore their sum will be equal to 180

That is numerically,

      A + B = 180

Putting the required values of A and B we will get

     3x – 28 + x = 180

      4x  = 180-28

       4x = 152

        x = 38

Hence the measure of A = 3*38 – 28 = 86

And the measure of B = x = 38

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The scale copy of a shape is the resulting shape when the original shape is dilated. Possible scaled rectangles of rectangle A are 12cm by 8cm and 48cm by 32cm .

It is required to find the measurements that could be the dimensions of rectangle B.

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.

Given :

Length=6 cm

width=4cm

According to given question we have,

Divide the length and the width of the rectangle we get=

k=Length/width

k=6/4

k=1.5

This means that a scaled copy of rectangle A must have a value of 1.5

when the dimensions are divided.

Possible rectangles are:

A. 12cm by 8cm

Divide the length and the width of the rectangle we get,

k=12/8

k=1.5

B. 48cm by 32cm

Divide the length and the width of the rectangle we get,

k=48/32

k=1.5

Therefore, the scale copy of a shape is the resulting shape when the original shape is dilated. Possible scaled rectangles of rectangle A are 12cm by 8cm and 48cm by 32cm .

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Answer:

  28

Step-by-step explanation:

You want the smaller of the two factors of 896 that have the ratio 8:7.

Let x represent the smaller of the two factors (the one we want to find). Then the larger factor is (8/7)x, and their product is ...

  x(8/7)x = 896

  (8/7)x² = 896

Multiplying by the inverse of the coefficient of x², we have ...

  x² = (7/8)(896) = 784

  x = √784 = 28 . . . . . . . . take square root

The smaller of the two numbers is 28.

__

Additional comment

The larger is (8/7)(28) = 32.

Step-by-step explanation:

3×3^2 is 27 so 27+8÷2 is 31 -(4+3) the answer is 24:)

Answer: Quadrant 3

Step-by-step explanation:

Hard to explain.

Using it's concept, the relative frequencies are given as follows:

a) 124/639

b) 43/213

A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.

For this problem, the number of students is:

583 + 620 + 187 + 163 + 558 + 645 + 439 = 3195.

620 responded study hard, hence the relative frequency is given as follows:

620/3195 (simplifying by 5)

124/639

645 responded goal in mind, hence the relative frequency is given as follows:

645/3195 (simplifying by 5)

129/639 (simplifying by 3)

43/213

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Answer:

Can someone help me please

Answer: 4 0 4

Step-by-step explanation: