Which of the following values is closest to the standard deviation for the set
of data shown below?
23, 64, 73, 47, 22, 46, 34, 48, 67, 89, 83, 12, 23, 44, 16

Answer:

The answer is:

[tex]f(x)=2x^{2}-8x+6[/tex]

Step-by-step explanation:

The equation of a parabola in the intercept form is given by:

[tex]y=a(x-p)(x-q)[/tex]

Where:

p and q are x-intercepts

Now, we know the parabola intercepts at x=1 and x=3.

So we will have:

[tex]y=a(x-1)(x-3)[/tex]

Using the point (-1,16) we could find the value of a.

[tex]16=a(-1-1)(-1-3)[/tex]

[tex]16=a(-2)(-4)[/tex]

[tex]16=8a[/tex]

[tex]a=2[/tex]

Therefore, the equation is:

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

[tex]y=2(x^{2}-4x+3)[/tex]

[tex]y=2x^{2}-8x+6[/tex]

The answer is:

[tex]f(x)=2x^{2}-8x+6[/tex]

I hope it helps you!

Answer:

0. 116

Step-by-step explanation:

The function is given as :-

[tex]\boxed{f(d) = 5(1.02)^d }[/tex]

and we have to find the rate of change from d = 4 to d = 11

[tex]\boxed{\blue{\mathfrak{Rate\: of\: change = \frac{final\:output-intital\:output}{final\:input-initial\:input} } }}[/tex]

The final input value is 11 whereas the initial input value is 4.

The final and initial outputs can be calculated by placing the respective values of initial and final inputs (that are 4 and 11).

f(4) = [tex]5(1.02)^4[/tex]

f(4) = 5 × 1. 08

f(4) = 5. 41

f(11) = [tex]5(1.02)^11[/tex]

f(11) = 5 × 1. 24

f(11) = 6. 22

[tex]\underline{Avg\:Rate \: of \: change} = \frac{6. 22-5.41}{11-4} \\ = \frac{0.81}{7} \\ = 0.116 [/tex]

[tex]\bigstar[/tex] Hence, the average rate of change is [tex]\red{\underline{\pmb{0. 116}}}[/tex]

Answer:

Below.

Step-by-step explanation:

Ok so since 71 +25 = 96. A line segment is 180 so 180-96= 84. Hope this is right little hard to see.

Answer:

2

Step-by-step explanation:

=> x + 3 = 5

=> x = 5-3

=> x = 2

Answer:

x=2

Step-by-step explanation:

x=5-3

x=2

value of x is 2

Answer:

Normal distribution

Step-by-step explanation:

The answer is "normal distribution". This is because in a normal distribution, the mean, median and mode are equal. What this means is that the distribution will be symmetrical with a bell curve unlike in positive or negative skew where it is skewed to either the left or right.

Answer:

d

Step-by-step explanation:

Work Shown:

-2 + 11(17y + 15)

-2 + 11(17y) + 11(15) .... distributive property

-2 + 187y + 165

187y + (-2+165)

187y + 163

Answer:

Step-by-step explanation:

Answer:

x - y = 0

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - 1 / 5 - 1

4/4

= 1

y = 1x + b

5 = 1(5) + b

5 = 5 + b

0 = b

Answer:

subtraction property of equality

Step-by-step explanation:

From the Standard form for quadratic equation, it is possible to see that step 1 represents the subtraction property of equality.

The quadratic function can be represented by a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0), the coefficient c is a constant and the degree of the function must be equal to 2.

From the Standard form: ax²+bx+c=0, it is possible to see that step 1:

–c = ax² + b represents the subtraction property of equality.

Read more about a quadratic function here:

brainly.com/question/1497716

A

Step-by-step explanation:

because it's the only possible one

Answer:

A.) 10

Step-by-step explanation:

So the relationship here seems to be going by two. Every time the x-value decreases from -2 to +7, the y-value is decreasing by 2. Since you're looking for when x=0, the only number that could possibly do that is when y=10. Before x=1, the y-value can increase by two so it would go from 8 to 10 since we know the relationship for the y-values is 2. Therefore your answer should be A.) 10

Hope this helps!

Answer:

The third one

Step-by-step explanation:

The image above is the explanation, hopefully its help

Answer:

2:5

Step-by-step explanation:

10:25 = 10/25 = 2/5 = 2:5

Answer:

2:5

Step-by-step explanation:

divide both of them by 5

10 divided by 5 is 2

25 divided by 5 is 5

hope it helps

Answer:

4a + b)( 1 + 4a - b )

Step-by-step explanation:

4a + b + 16a² - b²

Step 1 :- Use a² - b² = ( a - b ) ( a + b ) to factor the expression.

4a + b + ( 4a - b ) ( 4a + b ).

Step 2 :- Factor out 4a + b from the expression.

(4a + b)( 1 + 4a - b )

Step-by-step explanation:

Cos A = 40^2 + 25^2- 34^2 ÷ (2×40×25)

= 200+625-1156 ÷ (2000)

= 1069 ÷2000

Cos A = 0.5345

A= cos inverse 0.5345

A = 57.7

Answer:

57.7

Step-by-step explanation:

took the test

Answer:

y = -x - 6

Step-by-step explanation:

Parallel lines have same slope

y = -x + 9   {y = mx  + c}

m = -1  

(x₁, y₁) = (7 , -13)

Equation: y - y₁ = m(x -x₁)

y - [-13] = -1(x -7)

y+ 13 = -x + 7

    y = - x + 7 - 13

y = -x - 6

Answer:

The balance after the 6 years of investment will be $ 15,442.08.

Step-by-step explanation:

Given that $ 13,700 was invested at a rate of 2% compounded quarterly during 6 years, to determine the final result of the investment, the following calculation must be performed:

13,700 x (1 + 0.02 / 4) ^ 4x6 = X

13,700 x (1 + 0.005) ^ 24 = X

13,700 x 1,005 ^ 24 = X

13,700 x 1.1271 = X

15,442.08 = X

Therefore, the balance after the 6 years of investment will be $ 15,442.08.

Answer:

The answer is 4

Step-by-step explanation:

1st option

{(3,0) e (0,9)}; {(2,0) e (0,-4)}; {(1,0) e (0,-5)}

see screenshot

sorry btw, no hablo espanol

Answer:

4c+10t

Step-by-step explanation:

c= car

t= time/ hour

Answer:

y=n^2+3n+4

Step-by-step explanation:

Sequence,S: 8,14,22,32 ,44, 58, 74...

First differences of S: 6,8,10,12,14,16,...

Second differences of S: 2,2,2,2,2,2,....

It is indeed a quadratic since the 1st differences that are the same are the second differences.

So the 1st term is 8. If the 0th term was listes it would be 4 since 8-4=4 and 6-4=2.

This means our quadratic it is in the form

y=an^2+bn+c where c=4.

So we have y=an^2+bn+4.

Now we can find a and b using two points from our sequence to form a system of equations to solve.

(1,8) gives us 8=a(1)^2+b(1)+4

Simplifying gives 8=a+b+4

Subtracting 4 on both sides gives: 4=a+b

(2,14) gives us 14=a(2)^2+b(2)+4

Simplifying gives 14=4a+2b+4

Subtracting 4 on both sides gives 10=4a+2b

So we have the following system to solve:

4=a+b

10=4a+2b

I'm going to solve using elimination/linear combination style.

Dividing second equation by 2 gives the system as:

4=a+b

5=2a+b

Subtract the 2nd equation from the first gives:

-1=-1a

This implies a=1 since -1=-1(1) is true.

If a+b=4 and a=1, then b=3. Because 3+1=4.

So the equation is y=1n^2+3n+4 or y=n^2+3n+4.

Answer:

We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect.

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

8x = 180  - 148                           [ corresponding angles are equal ]

8x = 32

x = 4

Answer:

I believe it is 1, I might be wrong.

Step-by-step explanation:

Two points on the graph are (1,2) and (2,3)

The first set has variables of x1 and x2 the second has variables of y1 and y2.

The formula is y2 - y1/x2 - x1

Put in the values and you get 2 - 3/2-1.

You would get 1/1, which is equivalent to 1.

Answer:

C= 15

Step-by-step explanation:

[tex] \frac{9}{5} C + 32 = 59 [/tex]

subtracting 32 from both sides

[tex] \frac{9}{5}C = 59 -32 [/tex]

[tex] \frac{9}{5} C = 27[/tex]

Dividing both sides by 9/ 5

[tex]C = 27 \times \frac{5}{9} [/tex]

[tex]C = 3 \times 5[/tex]

[tex]C = 15[/tex]

Answer:

I don't understand your question.............!

Step-by-step explanation:

There's all the lengths so you don't have to search them all up

Answer:

Blue and Black

Step-by-step explanation:

hi! i think you're asking which of the 2 teams' points added together equal 100. if so, it would be blue and black because 76 + 24 = 100.

broken down: 70 + 20 = 90, 6 + 4 = 10, 90 + 10 = 100 :)

hope i understood this right!