The graph of f(x) = x2 was transformed to create the graph of g(x) = (2x)2 – 4. Which of these describes the transformation from the graph of f to the graph of g?

a) standard deviation of the scores of the monthly home run totals in the player’s rookie season will be 1.29

b) The standard deviation of the scores of the monthly home run totals in this season will be 2.738

Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.

a)The standard deviation of the scores of the monthly home run totals in the player’s rookie season:-

The data from the graph will be

1,0,6,2,0,2

Standard deviation is calculated as:-

[tex]\sigma = \dfrac{\sqrt{\sum(x-\mu)^2}}{N}}[/tex]

[tex]\mu = \dfrac{1+0+6+2+0+3}{6}=2[/tex]

Putting the values we get

[tex]\sigma = \dfrac{\sqrt{(1-2)^2+(0-2)^2+(2-2)^2+(0-2)^2+(3-2)^2}}{6}}=1.29[/tex]

Hence standard deviation is 1.29

b)The standard deviation of the scores of the monthly home run totals in this season

The data from the graph will be

4,6,4,8,7,13

Standard deviation is calculated as:-

[tex]\sigma = \dfrac{\sqrt{\sum(x-\mu)^2}}{N}}[/tex]

[tex]\mu = \dfrac{4+6+4+8+7+13}{6}=7[/tex]

Putting the values we get

[tex]\sigma = \dfrac{\sqrt{(4-7)^2+(6-7)^2+(4-7)^2+(8-7)^2+(7-7)^2+(7-13)^2}}{6}}=2.738[/tex]

Hence standard deviation is 2.738

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a) a= 2×40 = 160°

b) b = 60/2 = 30°

c) c = 40°

d) d = 115°

Based on the calculations, the measure of angle YUV is equal to 42°.

A line segment refers to a part of a line that is bounded by two (2) distinct points and it has a fixed length.

Based on the information given, we can deduce the following:

From triangle UOV, we have:

∠OUV + ∠OUV + ∠UOV  = 180°

2OUV + 84 = 180

2OUV = 180 - 84

2OUV  = 96

OUV  = 96/2

OUV  = 48°

Now, we can determine the measure of angle YUV:

∠YUV = ∠YUO - ∠OUV

∠YUV = 90 - 48

∠YUV = 42°.

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Answer:

42

Step-by-step explanation:

Answer:

[tex]let \: the \: angle \: be \: \alpha \\ \tan( \alpha ) = \frac{p}{b} \\ \tan(16.8) = \frac{2.7}{x} \\ x = \frac{2.7}{0.30 } \\ x = 9 \\ now \: by \: using \: pythagoras \: theorem \: \\ h = \sqrt{p {}^{2} } + b {}^{2} \\ h = \sqrt{ {2.7}^{2} } + {9 }^{2} \\ h = 9.396[/tex]

Answer:

288.000567018 or [tex]3(32x^{3} +\frac{3.8}{126980})[/tex]

Step-by-step explanation:

hope this helps

pls mark brainliest

Answer:

(8w + 7)(7w + 9)

Step-by-step explanation:

56w² + 121w + 63

consider the factors of the product of the coefficient of the w² term and the constant term which sum to give the coefficient of the w- term

product = 56 × 63 = 3528 and sum = 121

After much trial and error the factors are + 49 and + 72

use these factors to split the w- term

56w² + 49w + 72w + 63 ( factor first/second and third/fourth terms )

= 7w(8w + 7) + 9(8w + 7) ← factor out (8w + 7) from each term

= (8w + 7)(7w + 9) ← in factored form

Based on the amount that Rosetta sells her house and the mortgage she had before she did, the amount she will recieve is $50,000.

Rosetta owes a total of $150,000 for her mortgage payment and was able to sell the house for $200,000.

This means that the amount she will recieve is:

= Selling price - Mortgage

= 200,000 - 150,000

= $50,000

In conclusion, option B is correct.

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Answer:

B. $50,000

Step-by-step explanation:

Answer:

7 hours and 30 minutes

Step-by-step explanation:

because if you divide the 5 hours by the 2 people you get 2 hours and 30 minutes so if you add one more person you are basically adding 2 hours and 30 minutes so if u add that 2 hours and 30 minutes to the 5 hours you will get 7 hours and 30 minutes

The percent of change in the number of points she scored between the first and second tests  = 4.878 %

If the data is decreasing,

Decrease = Original Number - New Number.

Then: divide the decrease by the original number and multiply the answer by 100.

% Decrease = Decrease ÷ Original Number × 100.

Given that:

The score of first Math test = 82

The score of second Math test = 78

Changes occurs in marks by=78-82

                                               =-4

So, there is decrease in marks.

We have to find the decrease percentage:

Decrease%= [tex]\frac{change \;in \;value}{Original\; value} *100[/tex]

                   = [tex]\frac{4}{82} *100[/tex]

                   = 0.04878 * 100

                  = 4.878 %

There is 4.88% decrease in Olivia's score.

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20f - 4 (5f + 4) + 16

= 20f - 20f - 16 + 16

= 0

Answer:

0

Step-by-step explanation:

Distribute terms in the parentheses

Step-by-step explanation:

sin60 =opp/hyp

0.86=y/20

y=17.2

cos60=adj/hyp

0.5=x/20

x=10

sin57=y/15

0.83=y/15

y=12.45

Answer:

Medical Insurance

Step-by-step explanation:

Answer:

Medical Insurance

Step-by-step explanation:

serious car accident and broke both wrists.

Answer: number of kids(k)=200

sand the number of adults(a)=300, visited the carnival.

The tool I used is called simultaneous equation and I used elimation method as the method.

The statements about the octagon that are true are:

This is known to be a kind of 2D shape object that is said to be made up of eight-sided polygon.

Note that when one measure the central angle, ∠zxw, as 45° it will therefore holds true for an octagon true shape and as such the two options above are correct.

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Answer:

its C and E my friend

Step-by-step explanation:

i took the test

yw :)

hope i helped/ made life easier

The value of cot x/2 is √3/√5.

Trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations.

given:

cos x=-1/4

sin x= √15/4

cosec x= 4/√15

and, cot x= -1/√15

Now, cot x/2= cosec x+ cot x

= 4/√15-1/√15

= 3/√15

= √3/√5

Hence, the value of cot x/2 is  √3/√5.

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Answer:

A parameter is a numerical description of a population characteristic

Step-by-step explanation:

A parameter is a numerical description of a population characteristic

Answer:

a=b-44y

Step-by-step explanation:

a=b-44y

Answer:

908

Step-by-step explanation:

879+29=908

Answer:  Choice B.  3√2

This is the same as writing 3sqrt(2) or [tex]3\sqrt{2}[/tex]

===========================================================

Reason:

For any complex number of the form [tex]z = a+bi[/tex], the absolute value or magnitude of it is [tex]|z| = \sqrt{a^2+b^2}[/tex]

In this case, we have [tex]a = -4 \text{ and } b = -\sqrt{2}[/tex]

So,

[tex]|z| = \sqrt{a^2+b^2}\\\\|z| = \sqrt{(-4)^2+(-\sqrt{2})^2}\\\\|z| = \sqrt{16+2}\\\\|z| = \sqrt{18}\\\\|z| = \sqrt{9*2}\\\\|z| = \sqrt{9}*\sqrt{2}\\\\|z| = 3\sqrt{2}\\\\[/tex]

If we formed a segment with the endpoints [tex](0,0) \text{ and } (-4, -\sqrt{2} )[/tex], then that segment will have length of the value mentioned above.

Side note: This formula or concept is related to the pythagorean theorem.

Answer:

a) 20r + 20w = 500, 10r + 35w = 500

b) r = 15, w = 10

c) 900 calories

Explanation:

Let running time be r, walking time be w

a) Hence, make equation's:

20r + 20w = 500... equation 1

10r + 35w = 500... equation 2

b) Determine the value of the variables by solving simultaneously.

⇒ (500 - 20w)/20 = (500 - 35w)/10

cross multiply

⇒ 10(500 - 20w) = 20(500 - 35w)

multiply

⇒ 5000 - 200w = 10000 - 700w

shift sides

⇒ -200w + 700w = 10000 - 5000

simplify

⇒ 500w = 5000

divide both sides by 500

⇒ w = 10

Now find the value of variable r,

⇒ r = (500 - 20w)/20

insert w = 10

⇒ r = (500 - 20(10))/20

simplify

⇒ r = 15

Hence the value of r is 15 and w is 10

c) Find calories burnt after one hours of running:  [1 hours = 60 minutes]

calories = 60r = 60(15) = 900 calories

Hence, he can burn 900 calories after one hours of running.

The special ticket cost to cover the expected value of the refunds would be $2.60

Probability of A winning = 80%

Probability of B winning = 20%

We have to solve for the rebate of the bet.

80% = 0.8, 20% = 0.2

0.8 x 2 = 1.6

0.2 x 5 = 1

The extra minimal cost of the special ticket would be calculated as: 1 + 1.6

= $2.6

Therefore the answer to the question is $2.6

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Answer:

Associative Property of Addition

Step-by-step explanation:

Associative Property of Addition:

For any real numbers a, b, and c, (a + b) + c = a + (b + c).

Answer:

Commutative Property of Addition

Step-by-step explanation:

The dimensions of the rectangle Michael should draw is given by: C. 4 units by 4 units.

A rectangle can be defined as a type of quadrilateral in which its opposite sides are equal and all the angles formed are right angle.

In this scenario, the rectangle would be drawn to touch the parallelogram at its four vertices (A, B, C, and D). Also, this would lie outside the parallelogram with the formation of four (4) right-angle triangles.

Therefore, the dimensions of the rectangle Michael should draw is given by:

Dimension = 4 × 4 units.

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Answer:

option C

Step-by-step explanation:

Answer:

(33+7)-(15/3) = 35

Step-by-step explanation:

35

Step-by-step explanation:

fancy way of saying (33+7) - (15/3)

33 + 7 = 40

15 / 3 = 5

40 - 5 = 35

Answer:

b

Step-by-step explanation:

to find the answer to this you sould divide the amount of pints by the number of bottles

18/8

which is also 2 2/8

so the answer is b

Problem 16

Work Shown:

[tex]2ax - 5x = 2\\\\x(2a - 5) = 2\\\\x = \frac{2}{2a-5}\\\\[/tex]

I factored out x, then divided both sides by (2a-5)

=========================================================

Problem 17

Work Shown:

1 yard = 3 feet

1/3 yard = 1 foot

x/3 yards = x feet

In the second step, I divided both sides by 3. Afterward, I multiplied both sides by x.

#16

Option C

#17

So

Radius is the length of the line segment from the center of the circle to an endpoint on the circle and diameter is twice the length of the radius of the circle.

Answer:

difference between town A and town B is 5.4 deg. celcius

Step-by-step explanation:

I added each row and divided by 5 to get the average for A and B

I subtracted the average

see attached picture showing the math