‼️ See Picture ‼️Select the reason that best supports Statement 5 in the given proof.

Answer:

Fat Calories: 342

50% of Total Calories

Step-by-step explanation:

Total calories:

Carbohydrates:

176

Fat:

324

Protein:

148

Total:

176+324+148=648

648/342 = 2

Meaning that half of the calories come from fat.

The probability of selecting a biography or a mystery is 0.8

We assume that all the books have the same probability of being randomly selected.

The probability of getting a particular type of book is given by the quotient between the number of these books and the total number of books.

Here we want to find the probability of selecting a biography or a mystery, there are 9 mysteries and 7 biographies, and a total of 20 books in the shelf, so the probability is:

P = (7 + 9)/20 = 16/20 = 4/5 =0.8

The probability is 0.8

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All of these can be samples but the best example is 6th grade students whose last name begins with "T"; all students in 6th grade

A sample refers to a small portion of a population. Most samples are selected randomly to make sure the sample represents all the population but they can also be selected based on a specific criterium.

One example of this concept is 6th grade students whose last name begins with "T"; all students in 6th grade because the student whose last name begins with "T" are a fraction of all the population. Moreover, they are more likely to represent all the population.

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The correlation coefficient of the dataset on the table is 0.8271

See attachment for the proper table that represents the relationship

Next, we compute a correlation coefficient using a graphing calculator.

The graphing calculator has the following calculation summary:

X Values

Y Values

X and Y Combined

The correlation coefficient is calculated using:

[tex]r = \frac{\sum((X - \bar y)(Y - \bar x)) }{ \sqrt{(SSx)(SSy)}}[/tex]

So, we have:

[tex]r = \frac{141.467}{\sqrt{(20.733) * (1410.933)}}[/tex]

Evaluate

r  = 0.8271

Hence, the correlation coefficient is 0.8271

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Answer:

Step-by-step explanation:

Using the Central Limit Theorem, it is found that the statement is true, as for sample sizes of 30 or more, the sampling distribution of sample means is normal.

It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.

Hence, the statement is true, as for sample sizes of 30 or more, the sampling distribution of sample means is normal, no matter the underlying distribution of the variable.

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Answer: (6,-2)

Step-by-step explanation:

[tex]M'=(4+2, 3-5)=\boxed{(6,-2)}[/tex]

The trigonometric ratios with their values are based on the triangle will be sin D = 4 / 5, sin C = 3 / 5, sin D x cos D = 12 / 25, tan C x tan D = 1, and cos C x tan D = 16 / 15.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The triangle is given below.

Then the trigonometric ratios with their values are based on the triangle shown in the diagram and will be

sin D = 4 / 5

sin C = 3 / 5

sin D x cos D = 4 / 5 x 3 / 5

sin D x cos D = 12 / 25

tan C x tan D = 3 / 4 x 4 / 3

tan C x tan D = 1

cos C x tan D = 4 / 5 x 4 / 3

cos C x tan D = 16 / 15

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Answer: 60.5 in

Step-by-step explanation:

Area of rectangle = length times width

Length = 5.5 in

Width = 11 in

11 x 5.5 = 60.5

The area of the rectangle is 60.5 in

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Answer:

diameter of the circle

Step-by-step explanation:

A chord that passes through a circle's centre is a diameter of the circle.

Answer:

14.6°, 165.4°

Step-by-step explanation:

We can say that x is the supplementary angle and x + 150.8 is the other angle

Supplementary angles add up to 180°

x + x + 150.8 = 180

2x = 29.2

x = 14.6 | we found one of the angles

x + 150.8 = 165.4 | find the other angle

The linear equation with a slope of 1 that passes through (3, 5) is:

y = x + 2.

The general linear equation is given by:

y = a*x + b

Where b is the y-intercept and a is the slope.

Here we know that the slope is 1, so we have:

y = x + b

And we also know that the line passes through (3, 5), then we must have that:

5 = 3 + b

We can solve that for b:

b = 5 - 3 = 2

So the linear equation is:

y = x + 2.

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Answer:

y = -x + 7

Step-by-step explanation:

y = x + 5 works for the first row, but fails for the rest.

y = x + 3 fails for the first row

y = -x + 7 works for the first row ( -1 + 7 = 6)

It works for the second row ( -2 + 7 = 5)

It works for the third row ( -3 + 7 = 4)

And it works for the final row ( -4 + 7 = 3)

Answer:

7/20

Step-by-step explanation:

add the probabilities together and minus it by the LCM which is 20

Answer:

In mathematics or logic, an axiom is an unprovable rule or first principle accepted as true because it is self-evident or particularly useful.

Answer:

a)  599 feet

Step-by-step explanation:

** As the measure of distance is in feet, we must use the value of gravity in ft/s² **

Constant Acceleration Equations (in ft)

Assuming that the projectile is fired at an angle of 12° above the horizontal.

Consider the vertical and horizontal motion separately.

Vertical motion

First, find time by resolving vertically, taking up as positive and
g = 32 ft/s²

[tex]\begin{aligned}\textsf{Using}\quad s & =ut+\dfrac{1}{2}at^2\\\implies 0 & = 217 \sin 12^{\circ}t+\dfrac{1}{2}(-32)t^2\\0 & = 217 \sin 12^{\circ}t-16t^2\\t(16t-217 \sin 12^{\circ}) & = 0\\16t & = 217 \sin 12^{\circ}\\t & = \dfrac{217 \sin 12^{\circ}}{16}\\t & = 2.819802307...\: \sf s\end{aligned}[/tex]

Horizontal motion

Resolving horizontally, taking right as positive:

(The horizontal component of velocity is constant, as there is no acceleration horizontally)

[tex]\begin{aligned}\textsf{Using}\quad s & =ut+\dfrac{1}{2}at^2\\\implies s & = (217 \cos 12^{\circ})(2.819802307...)+\dfrac{1}{2}(0)t^2\\& =598.5256808...\end{aligned}[/tex]

Therefore, the horizontal distance is 599 ft (nearest foot)

Step-by-step explanation:

since there are answer options we don't need to formally solve the system of equations, we only need to try the first point of every option, and see, where the equations are true.

if we cannot find it for the first point, then we would need to try the same thing for the serving points.

let's put (0, 6) into the first equation :

-2×0² + 6 = 6

6 = 6 true

let's put it into the second equation ;

4×0² + 3×6 = 28

18 = 28 false

that eliminates the first 2 answers.

let's put (-1, 4) into the first equation :

-2×(-1)² + 4 = 6

-2×1 + 4 = 6

-2 + 4 = 6

2 = 6 false

that eliminates the third answer.

let's put (-1, 8) into the first equation :

-2×(-1)² + 8 = 6

-2 + 8 = 6

6 = 6 true

let's put it into the second equation :

4×(-1)² + 3×8 = 28

4 + 24 = 28

28 = 28 true

and because the square function delivers the same result for -1 and +1, it is also true for the second point.

and the 4th answer is therefore correct.

Step-by-step explanation:

a scale factor applies to every line, that means also to every side of the polygon.

the area of a polygon is always created out of the product (multiplication) of 2 dimensions (or sides).

while a perimeter is a pure sum of sides.

so the perimeter grows by the same factor as the sides : scale factor 3.

the perimeter of the larger polygon is therefore :

50 × 3 = 150 cm

and the area of the larger polygon ?

remember, that the area is always the product of 2 sides (or the sum of products of 2 sides).

and so, the scale factor enters these multiplications twice, and it gets therefore squared : 3×3 = 9.

so, the area of the larger polygon is then

42 × 9 = 378 cm²

Answer:

See below ~

Step-by-step explanation:

Find the decimal values of the fractions on each side :

Left side                      Right side

⇒ 4/10 = 0.4               ⇒ 2/5 = 0.4

⇒ 1/2 = 0.5                 ⇒ 9/12 = 0.75

⇒ 1/4 = 0.25               ⇒ 2/8 = 0.25

⇒ 3/4 = 0.75              ⇒ 5/10 = 0.5

Hence, the matched fractions are :

4/10 ↔ 2/5

1/2 ↔ 5/10

1/4 ↔ 2/8

3/4 ↔ 9/12

Answer:

Step-by-step explanation:

Answer:

Niki will pay $425 after the discounts.

Step-by-step explanation:

Cherry originally costs 150$, and you can subtract the discount of 50$ from that to get 100$ total for cherries.

Banana originally costs 200$, and you can subtract the discount of 25$ from the original cost to get 175$ total for bananas.

Watermelon originally costs 125$, and after subtracting the discount of 25$, you can determine the total cost for watermelons, which is 100$.

Mangoes originally costs 75$, subtract the discount of 25$, and you get the total for mangoes at 50$.

Add the costs after discounts (100$ for cherry, 175$ for banana, 100$ for watermelon, 50$ for mangoes), and you get 425$, which is the total cost for the fruit after discounts.

Hi Student!

Looking at the question, we are given a fraction that has a pi symbol.  We learn in trigonometry that a whole circle is made up of 2 * pi and we know that a circle is 360 degrees.  That means that just having pi means that we have 180 degrees.

Therefore, looking at the fraction that was given to us, we can basically interpret it as 180 degrees / 4.  That will give us a solution of 45 degrees which is our final answer.

Answer:

[tex]45^{\circ}[/tex]

Step-by-step explanation:

[tex]\dfrac{\pi}4 = \left(\dfrac{\pi }{4} \times \dfrac{180}{\pi} \right)^{\circ} = \left( \dfrac{180}4 \right)^{\circ} = 45^{\circ}[/tex]

Answer:

  (x, y) = (40, 30)

Step-by-step explanation:

A graphing calculator can show you the solution to this system of equations is (x, y) = (40, 30). That is the point of intersection where the two lines cross.

__

An algebraic solution can be found by using the substitution method. An expression for y can be found using the second equation:

  y = 110 -2x . . . . . . subtract 2x from both sides

Using this in the first equation gives ...

  3x -4(110 -2x) = 0 . . . . substitute for y

  11x = 440 . . . . . . . . . simplify, add 440

  x = 40 . . . . . . . . . . divide by 11

  y = 110 -2(40) = 30

The solution is (x, y) = (40, 30).

Answer:

x - beginning money

x - .20x = 1,600

.80x = 1.600

Original money = 2,000

Therefore, Sinead lost $400.00

Step-by-step explanation:

Step-by-step explanation:

its confusing the way the numbers are placed. But..

if the question is 2 whole number times 3 ÷4x2

=2×3/4×2

=6/8

=3/4

if it's 2 whole number, 3/4 fraction, multiplied by 2

2³/⁴ × 2

=4×2+3=11/4

=11/4 ×2

=11/2 or 5 1/2

Answer:

(y+2)=2(x−3)

Or

(y−4)=2(x-6)

Or

y=2x−8

Step-by-step explanation:

Answer:

[tex]y= -\dfrac{5}{3} x+7[/tex]

In order to find equation:

Find slope:

[tex]\sf slope: \dfrac{y_2- y_1}{x_2 -x_1} = \dfrac{rise}{run}[/tex]  where (x1, y1), (x2, y2)

[tex]\hookrightarrow \sf slope: \dfrac{-3-2}{6-3}[/tex]

[tex]\hookrightarrow \sf slope:- \dfrac{5}{3}[/tex]

Find Equation:

[tex]\boxed{\sf y - y_1 = m(x_1 -x)}[/tex]  "m" is slope

[tex]\sf \rightarrow y-2 = -\dfrac{5}{3} (x-3)[/tex]

[tex]\sf \rightarrow y-2 = -\dfrac{5}{3} x+5[/tex]

[tex]\sf \rightarrow y= -\dfrac{5}{3} x+5+2[/tex]

[tex]\sf \rightarrow y= -\dfrac{5}{3} x+7[/tex]

Answer:

The formula for determining the present value of an annuity is PV = dollar amount of an individual annuity payment multiplied by P = PMT * [1 – [ (1 / 1+r)^n] / r] where: P = Present value of your annuity stream. PMT = Dollar amount of each payment. r = Discount or interest rate.

Step-by-step explanation:

Hope this helps :) :)

This line tells John that the point must lie in Quadrant 1 if r is positive or Quadrant 2 if r is negative. Therefore, the point will lie Quadrant 3 or 4 the angle of rotation.

Step 1; John will start plotting the point by first of all seeing the sign of the radius and the value of the given angle.

Step 2; John will make a circle of the given radius, and plot the point at an angle given as a coordinate on the circle.

If r is positive, then the point will lie in Quadrant 1 or 2. However, If r is negative, then the point will lie in Quadrant 3 or 4.

In case r is positive, the point will lie in the same quadrant as the angle of rotation.

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