The following data were collected from a simple random sample from an infinite population.
13 15 14 16 12
The point estimate of the population standard deviation is _____.
a. 1.581
b. 2.500
c. 2.000
d. 1.414

If the question meant that we should write a linear prediction function ;

Answer:

y = bx + c

Step-by-step explanation:

The equation for a linear regression prediction function is stated in the form :

y = bx + c

Where ;

y = Predicted or dependent variable

b = slope Coefficient

c = The intercept value

x = predictor or independent variable

Therefore, the Linear function Given represents a simple linear model for one dependent variable, x

b : is the slope value of the equation, whuch represents a change in y per unit change in x

Answer: Tis 0

Step-by-step explanation:

Answer:

1326

Step-by-step explanation:

[tex]{52\choose2}=\frac{52!}{(52-2)!2!}=\frac{52!}{50!*2!}=1326[/tex]

Answer:

[tex]h=\sqrt{16(4)}[/tex]

[tex]h=8[/tex]

[tex]ANSWER:E) 8[/tex]

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Answer:

95816.666667

explained

1÷3*287450

Answer:

<A ≈ 45 degrees

<B ≈ 57 degrees

<C ≈ 78 degrees

Step-by-step explanation:

Hi there!

1) Find <C with the law of cosines

Typically, we want to solve for the angle opposite the largest side first.

Law of cosines: [tex]cosC=\frac{a^2+b^2-c^2}{2(a)(b)}[/tex]

Plug in given values

[tex]cosC=\frac{5^2+6^2-7^2}{2(5)(6)}\\cosC=\frac{1}{5}\\C=cos^-^1(\frac{1}{5} )\\C=78[/tex]

Therefore, <C is approximately 78 degrees.

2) Find <B with the law of cosines

[tex]cosB=\frac{a^2+c^2-b^2}{2(a)(c)}[/tex]

Plug in given values

[tex]cosB=\frac{5^2+7^2-6^2}{2(5)(7)}\\cosB=\frac{19}{35}\\B=cos^-^1(\frac{19}{35})\\B=57[/tex]

Therefore, <B is approximately 57 degrees.

3) Find <A

The sum of the interior angles of a triangle is 180 degrees. To solve for <A, subtract <B and <C from 180:

180-57-78

= 45

Therefore, <A is 45 degrees.

I hope this helps!

Answer: See explanation

Step-by-step explanation:

Your question isn't complete and well written but I'll give examples on the calculation of the area of a circle.

1. Let's assume that a circle has a radius of 14cm and we want to know the area.

Area of a circle = πr²

where π = 3.142

r = radius = 14cm

Area = πr² = 3.142 × 14²

= 3.142 × 196

= 615.382cm²

2. Let's assume that we are given a diameter of 10cm and told to calculate the area of the circle.

Note that Diameter is twice the radius.

Area of a circle = πr²

where π = 3.142

r = radius = Diameter/2 = 10cm/2 = 5cm

Area = πr² = 3.142 × 5²

= 3.142 × 25

= 78.55cm²

Answer:

P' (5, -4)

Step-by-step explanation:

P (4, -7)

x = 4 & Y =-7

T(4,. -7) = (4 + 1, -7 +3)

P' = (5, -4)

Answer:

[tex]\frac{8}{45}[/tex]

Step-by-step explanation:

'of' means 'multiply'

4/5 × 2/9 = 8/45

Answer:

Perimeter: 30 Area: 30

Step-by-step explanation:

Perimeter of a triangle= Add all sides = 5+12+13 = 30

Area of a triangle= (B*H)/2 = (5*12)/2 = 60/2 = 30

Hope this helps! :)

Answer:

Step-by-step explanation:

As shown in the graph,

A, B, C and D are the vertices of a square, all sides of the square will be equal in measure.

Coordinates of A → (0, 0)

Coordinates of B → (0, m)

Distance between point D and point A = m

Therefore, coordinates of point D → (m, 0)

Now point C will be equally distant from the points B and D.

Coordinates of C → (m, m)

Answer:

35

Step-by-step explanation:

square root of 1225 is 35

Answer:

Write 1225 as 5 x 5 x 7 x 7

So, 52 x 72 = 1225

So (5 x 7)2 = 1225

So √1225 = 5 x 7 = 35

Answer:

Volume of composite figure = 44.9 feet³

Step-by-step explanation:

Given:

Height of cylinder = 3.5 feet

Diameter of cylinder = 3.5 feet

Diameter of hemisphere = 3.5 feet

Find:

Volume of composite figure

Computation:

Radius of cylinder and sphere = 3.5/2 = 1.75 feet

Volume of composite figure = Volume of cylinder + Volume of hemisphere

Volume of composite figure = πr²h + (2/3)πr³

Volume of composite figure = (3.14)(1.75)²(3.5) + (2/3)(3.14)(1.75)³

Volume of composite figure = (3.14)(3.0625)(3.5) + (2/3)(3.14)(5.359375)

Volume of composite figure = 33.656875 + 11.2189583

Volume of composite figure = 44.8758

Volume of composite figure = 44.9 feet³

Answer:

Step-by-step explanation:

Given system:

Substitute x into the second equation:

Find x:

Answer:

x = 2 and y = -2

Step-by-step explanation:

Given system :-

y + 4 = x

10x + 2y = 16

Solve the system by substitution:-

Let,

y + 4 = x ...(1)

10x + 2y = 16 ...(2)

Solve for y;

Substitute y + 4 as x in the eq.(2)

10( y + 4 ) + 2y = 16

10y + 40 + 2y = 16

12y + 40 = 16

12y = 16 - 40

12y = -24

12y / 12 = -24/12

Hence, y = -2

Solve for x.

-2 + 4 = x

Hence, 2 = x

Answer:

See below

Step-by-step explanation:

Given :-

To Prove :-

Proof :-

Here we are required to prove that ,

[tex]\rm\implies m\angle 5 + m\angle 6 + m\angle 2 = 180^o [/tex]

And here it's given that , y || z . Therefore ,

Now we know that the measure of a straight line is 180°. Therefore ,

[tex]\rm\implies m\angle 1 + m\angle 2 + m\angle 3 = 180^o \\\\\implies\boxed{\rm m\angle 5 + m\angle 6 + m\angle 2 = 180^o} [/tex]

Hence Proved !

Answer: The line starts at 1 positive, then from there go -4 (so go to the left) then 1 down from that point.

Step-by-step explanation: the problem is supposed to have been Y= -4/1 +1

Answer:

32

Step-by-step explanation:

18 : 6 = 3

therefore, x : 3 has to equal 3.

X : 3 = 3

X = 3 × 3

X = 9

To verify:

18 : 6 = 9 : 3

3 = 3

It's true that X = 9, so now just replace the X with 9 in the next equation

5 + 3(9) = 32

Answer:

32

Step-by-step explanation:

18 :  6 = x : 3

Product of means  =  Product of extremes

6 * x = 3*18

     x = [tex]\frac{3*18}{6}[/tex]

     x = 3*3

x = 9

Now plugin x = 9 in the expression

5 + 3x = 5 + 3*9

          = 5 + 27

          = 32

Answer:

Outlier therefore could only be values below  - 12.75

or could only be values above + 121.125

Step-by-step explanation:

0, 4, 6, 14, 17

inner quartile range of 0 - 17 is 1/2 of 17 subtracted from the higher number = 17 - 1/2 of 8.5 =  8.5 - 4.25 = 4.25 - 4.25 x 3

= 4.25 to 12.75 for inner quartile

inner quartile range is 12.75-4.25 = 8.5

We then 1.5 x 8.5 to show the outlier

= 12.75 meaning there is no outlier if is below.

Lower quartile fences  = 4.25 - 1.5 = 2.75

or -1.5 x 8.5 (the range) =   -12.75

Upper quartile fence = 12.75 + 1.5 = 14.25 x 8.5 =   121.125  this would be an outlier if it is 12.75 higher than 121.125 or 12.75 lower than 5.50.

Outlier therefore could only be values below  - 12.75

or could only be values above + 121.125

An observation is considered an outlier if it exceeds a distance of 1.5 times the interquartile range (IQR) below the lower quartile or above the upper quartile. The values of the lower quartile - 1.5 x IQR and upper quartile + 1.5 x IQR are known as the inner fences.

An observation is an outlier if it falls more than above the upper quartile or more than below the lower quartile. The minimum value is so there are no outliers in the low end of the distribution. The maximum value is so there are no outliers in the high end of the distribution.

Step-by-step explanation:

Given: [tex]f'(x) = x^2e^{2x^3}[/tex] and [tex]f(0) = 0[/tex]

We can solve for f(x) by writing

[tex]\displaystyle f(x) = \int f'(x)dx=\int x^2e^{2x^3}dx[/tex]

Let [tex]u = 2x^3[/tex]

[tex]\:\:\:\:du=6x^2dx[/tex]

Then

[tex]\displaystyle f(x) = \int x^2e^{2x^3}dx = \dfrac{1}{6}\int e^u du[/tex]

[tex]\displaystyle \:\:\:\:\:\:\:=\frac{1}{6}e^{2x^3} + k[/tex]

We know that f(0) = 0 so we can find the value for k:

[tex]f(0) = \frac{1}{6}(1) + k \Rightarrow k = -\frac{1}{6}[/tex]

Therefore,

[tex]\displaystyle f(x) = \frac{1}{6} \left(e^{2x^3} - 1 \right)[/tex]

Step-by-step explanation:

2x+60°= 110°

2x= 110-60

2x= 50

x= 25°

Answer:

1. x + 4 = 9

Hint: the word 'sum' generally refers to addition.

2. 10a = 70

3. [tex]\frac{3}{4} t[/tex] = 15

4. [tex]\frac{1}{4} x[/tex] - 4 = 4

9514 1404 393

Answer:

  3, 6, 12, 24

Step-by-step explanation:

It helps if the formula is properly written.

  Tn = a·r^(n-1)

Fill in the given values for a, r, and use n = 1 to 4.

  T1 = 3·2^(1-1) = 3

  T2 = 3·2^(2-1) = 6

  T3 = 3·2^(3 -1) = 12

  T4 = 3·2^(4 -1) = 24

__

Additional comment

The value a=3 tells you the first term is 3. The value r=2 tells you each term is 2 times the previous one. Knowing this, you can write down the sequence based on your knowledge of multiplication tables (×2). You can use the formula as we did above, but it isn't necessary.

  3, 6, 12, 24, ...

Answer:

Slope = [tex]\frac{4}{3}[/tex]

Equation of the line → [tex]y=\frac{4}{3}x[/tex]

Step-by-step explanation:

Let the equation of diagonal OA is,

y = mx + b

Here, m = Slope of the line OA

b = y-intercept

Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of the line passing through O(0, 0) and A(3, 4) will be,

m = [tex]\frac{4-0}{3-0}[/tex]

m = [tex]\frac{4}{3}[/tex]

Since, line OA is passing through the origin, y-intercept will be 0.

Therefore, equation of OA will be,

[tex]y=\frac{4}{3}x[/tex]

Answer:

No solution

Step-by-step explanation:

5x+10y=3 equation 1

10x+20y=8 equation 2

-2(5x+10y)=-2(3) multiply equation 1 by -2 to eliminate x

-10x-20y=-6 equation 1 multiplied by -2

10x+20y=8 equation 2

0  +  0  =2. Add above equations

    0      =2  

no solution

Answer:

2×(6ײ+3×-1)=18.

2×(6×3×+4)(6×4×-3)=144

2×(6×3×-2)(4×2+4×-6)=1154..

12×2=24

12×2+7×-12=60

12×2+25×-12=276

12×3+4×2-10×+12=76

12×3+4×2-26×+12=8

12×3+6×2-2=46

Answer:

They can buy up to 240 drinks.

Step-by-step explanation:

Let x = number of drinks

The price of 1 drink is 75¢ = $0.75

The price of x drinks is 0.75x

The store gives a discount of $100.

The rice of x drinks is

0.75x - 100

The total price of the drinks must be less than or equal to $80.

0.75x - 100 ≤ 80

Add 100 to both sides.

0.75x ≤ 180

Divide both sides by 0.75

x ≤ 240

Answer: They can buy up to 240 drinks.

Answer:

Angle formed by the sector measuring x% will be 126°.

Step-by-step explanation:

Since, sum of all sectors formed in a circle is 100%.

By adding the measures of all the sectors,

x + x + 21 + 9 = 100

2x + 30 = 100

2x = 70

x = 35%

Now we know sum of all the central angles formed at the center of a circle = 360°

Therefore, angle formed by x% = 360° × 35%

                                                    = [tex]\frac{360\times 35}{100}[/tex]

                                                    = 126°

Answer:

the answer is 5 and u know the rest