Find the P-value for a test of the claim that less than 50% of the people following a particular diet will experience increased energy. Of 100 randomly selected subjects who followed the diet, 47 noticed an increase in their energy level.
Answer
the answer is 0.2743 please show work

Answer:

\([7\times(-2)]^5 = 7^5 \times (-2)^5\)

Step-by-step explanation:

ANSWER:

STEP-BY-STEP EXPLANATION:

From the given data, we must determine the number of females in Geometry and the number of males in Algebra I.

Know that there are 75 females and 75 males.

The only table that complies with this is option D.

Therefore, the correct answer is:

Answer:

Step-by-step explanation:

first we need to get the side length of a square.

Area of a square A = L²

1 = L²

L = √1

L = 1 unit

The shaded portion is a circle.

Area of a circle = πd²/4

The diameter of the circle = 4L = 4(1) = 4units

Substitute into the formula;

A =πd²/4

A = π(4)²/4

A = 4(3.14)

A = 12.56inits²

B) The area of the whole shape = Length * width

Length = 6

Width = 6 (6 squares)

Area of the shape = 6*66 = 36units²

Percentage of the area shaded = 21.56/36 * 100

Percentage of the area shaded = 2156/36

Percentage of the area shaded = 59.9%

According to the given data the equation of the new function is (D) f(x) = 2x - 4.

An equation is a mathematical statement that indicates that two expressions are equal. It contains an equals sign "=" and may involve variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, etc.

If we translate the function h(x) = 2x - 9 up by 5 units, the new function f(x) will have the form:

f(x) = h(x) + 5

Substituting the definition of h(x) into this equation, we get:

f(x) = 2x - 9 + 5

Simplifying, we have:

f(x) = 2x - 4

Therefore, the equation of the new function is (D) f(x) = 2x - 4.

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Answer:

  (b)  3 units

Step-by-step explanation:

You want to know the length of OB' when OB = 3/4 and ∆ABC is dilated about point O by a factor of 4.

The dilation factor multiplies every length.

If OB is 3/4, then OB' is 4(3/4) = 3.

The length of OB' is 3 units.

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Answer:

I think 64 dollars

Step-by-step explanation:

*8x3=24  

88-24=64

Answer:

\(\mathbf{\dfrac{2(x+4)}{(x-4)}= \dfrac{(x+3)}{(x-4)}}\) are the rational expressions.

Step-by-step explanation:

To rewrite \(\dfrac{2}{x^2-x-12}\) and \(\dfrac{1}{x^2-16}\) as equivalent rational expressions

i.e.

\(\dfrac{2}{x^2-x-12}=\dfrac{1}{x^2-16}\)

By factorization:

\(\dfrac{2}{x^2-4x+3x-12}=\dfrac{1}{(x-4)(x+4)}\)

\(\dfrac{2}{x(x-4)+3(x-4)}=\dfrac{1}{(x-4)(x+4)}\)

\(\dfrac{2}{(x-4)(x+3)}=\dfrac{1}{(x-4)(x+4)}\)

By multiply both sides with ( x+3) & (x+4), we get:

\((x+3) (x+4) \times \dfrac{2}{(x-4)(x+3)}=(x+3) (x+4) \times \dfrac{1}{(x-4)(x+4)}\)

\(\mathbf{\dfrac{2(x+4)}{(x-4)}= \dfrac{(x+3)}{(x-4)}}\) are the rational expressions

Answer:

2x+8/(x+3)(x−4)(x+4), x+3/(x−4)(x+4)(x+3)

Step-by-step explanation

The effect of the decrease on the salary of $54000 will be b. Benefit would decrease by $7,020 annually.

Social security is the safety net that a society offers to individuals and families to ensure that they have access to health care and to assure financial stability, particularly in circumstances of old age, unemployment, illness, invalidity, work injuries, maternity, or the death of a primary earner.

One possible solution to a diminishing Social Security payroll is to decrease the Social Security benefit by 13%. The effect of the decrease will be:

= 13% × $54000

= $7020

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Answer:

prism R

Step-by-step explanation:

Answer:

\(AB = 3.6\)

Step-by-step explanation:

Given

The attached graph

Required

Distance AB

From the graph:

\(A = (-2,1)\)

\(B = (1,-1)\)

The distance is:

\(AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\)

\(AB = \sqrt{(-2 -1)^2 + (1- -1)^2}\)

\(AB = \sqrt{(-2 -1)^2 + (1+1)^2}\)

\(AB = \sqrt{13}\)

\(AB = 3.6\)

Answer:

2.460375e+15

Step-by-step explanation:

HOPE THIS HELPS

:)

Answer:

2x(7×3)+(7×6)+(3×6)= 162ft

Answer:

The diameters acts as diagonals

Step-by-step explanation:

QTSY is known to be a rectangle inscribed successfully inside a circle.

Now one of the properties of a rectangle is that it's diagonal divide it's shape into two equal parts and that it's has two equal diagonals.

In this case, the diagonals are QS and YT.

Another thing to observe it's that the diagonals of the rectangle pass through the center of the circle R and touching the circumference at both ends making the both diagonals a diameter as well.

So to prove that QS=YT

they are both diagonals that are diameters and they are equal because diameters of a circle are always equal while diagonals of a rectangle are also always equal.

Here are the steps to calculate the expression √20 + 5 - 43 :

Step 1: Simplify the square root of 20:

\(\sqrt{20}\)

Step 2: Calculate the value of the square root:

\(\sqrt{20} = 2\sqrt{5}\)

Step 3: Substitute the value of the square root into the expression:

\(2\sqrt{5} + 5 - 43\)

Step 4: Perform addition:

\(2\sqrt{5} + 5 = 2\sqrt{5} + \frac{5}{1} = \frac{2\sqrt{5} + 5}{1}\)

Step 5: Perform subtraction:

\(\frac{2\sqrt{5} + 5}{1} - 43 = \frac{2\sqrt{5} + 5 - 43}{1}\)

Step 6: Simplify the numerator:

\(\frac{2\sqrt{5} - 38}{1}\)

Step 7: Simplify the expression:

\(2\sqrt{5} - 38\)

Therefore, the calculation √20 + 5 - 43 simplifies to 2√5 - 38.

Answer:

TWO CRACKERS

Step-by-step explanation:

I'm assuming they want to find x. Here we see that these two are similar triangles, so the sides are reflective. 5x/5 should be equal to 4/x, so 5x/5 = 4/x. If we use cross multiplying we get 5x^2 = 20. divide both sides by 5 and we get x^2 = 4 or x = 2.

Hope this helped

Answer:

35%

Step-by-step explanation:

Logan wants to save 35% of his weekly paycheck he earns $125 a week how much does he plan to save each week enter the correct answer in the box, he wants to save 35%, how much does he plan to save, 35% easy. JK its 125 - 81.25 which is $43.75.

Answer:

Santana scored 12 2-point baskets.

Step-by-step explanation:

Given that Santana converted 22 baskets in his last basketball game, totaling 54 points at the end of the game, and that in basketball the baskets are worth 2 and 3 points, to determine the number of baskets of each value that Santana converted, the following logic reasoning must be done:

If all the baskets were 2 points, the total of points made would have been 44 (22 x 2). Now, there are 10 more points, which are attributable to the 3-point baskets (that is, each extra point is a 3-point basket). Therefore, since 54 minus 44 equals 10, Santana made 10 3-point baskets and 12 2-point baskets.

This is verified through the following calculation:

(10 x 3) + (12 x 2) = X

30 + 24 = X

54 = X

Answer:

Step-by-step explanation:

Regular price  = $ 83

Discount  = 95% of 83

               = 0.95 * 83

              = $ 78.85

Price after discount = 83 - 78.85

                                = $ 4.15

Answer:

$4.15

Step-by-step explanation:

Multiply 83 by .05 to get the new price of $4.15. Additionally, multiply 83 by .95 to get the amount taken off ($78.85).

(I) \(3x + 2y = 45\)

(II) \(4x - y = 5\)

Get \(y\) alone in equation (II)

\(4x - y = 5\\y = 4x - 5\)

Insert new equation (II) in equation (I)

\(3x + 2(4x - 5) = 45\\3x + 8x - 10 = 45\\3x + 8x = 45 + 10\\11x = 55\\x = 5\)

Insert \(x = 5\) in equation (II)

\(y = 4 \cdot 5 - 5\\y = 20 - 5\\y = 15\)

The question is missing parts. Here is the complete question.

The isosceles triangle below has height AQ of length 3 and base BC of length 2. A point P may be placed anywhere along the line segment AQ.

What is the minimum value of the sum of the lengths of AP, BP and CP?

Answer: The sum is 4.73.

Step-by-step explanation: Height of a triangle is a perpendicualr line linking a vertex and its opposite side.

Because triangle ABC is isosceles, point Q divides the base in 2 equal parts:

BQ = CQ = 1

Suppose QP = x

To calculate minimum value of the sum:

AP = AQ - QP

AP = 3 - x

Since triangles BQP and CQP are congruent and right triangles, use Pythagorean Theorem to figure out the value of BP and CP:

BP = CP = \(\sqrt{BQ^{2}+PQ^{2}}\)

BP = \(\sqrt{1+x^{2}}\)

Then, sum of AP, BP and CP is

\(f(x)=3-x+2\sqrt{1+x^{2}}\)

The minimum value is calculated using first derivative:

\(f'=-1+\frac{2x}{\sqrt{x^{2}+1} }\)

The value of x is limited: it can assume value of 0, when P=A and x=3, when P=Q. So, interval is [0,3].

x has value:

\(-1+\frac{2x}{\sqrt{x^{2}+1} }=0\)

\(2x=\sqrt{x^{2}+1}\)

\(4x^{2}-x^{2}-1=0\)

\(3x^{2}=1\)

x = ± \(\frac{1}{\sqrt{3} }\)

x can't assume negative value because is not in the interval:

x = \(\frac{1}{\sqrt{3} }\)

To find the minimum value of the sum, substitute x in the function above:

f(\(\frac{1}{\sqrt{3} }\))=\(3-\frac{1}{\sqrt{3} } +2\sqrt{1+(\frac{1}{\sqrt{3} })^{2} }\)

\(f(\frac{1}{\sqrt{3}} )=3-\frac{1}{\sqrt{3}}+2(\sqrt{\frac{4}{3} } )\)

\(f(\frac{1}{\sqrt{3}} )=3-\frac{1}{\sqrt{3}} +\frac{4}{\sqrt{3}}\)

\(f(\frac{1}{\sqrt{3}} )=3+\frac{3}{\sqrt{3} }\)

\(f(\frac{1}{\sqrt{3}} )=4.73\)

The minimum value of the sum of AP, BP and CP is 4.73.

The minimum value of the sum of the lengths of AP, BP and CP is \(3 + \frac{\sqrt{3}}{3}\) units.

According to this statement we must determine the sum of the line segment lengths so that a minimum is found. By Pythagorean theorem and given data we have the following expression:

\(y = AP + BP + CP\)

\(y = 3-x +2\sqrt{x^{2}+1}\) (1)

Now we proceed to find the critical values by performing first and second derivative tests.

FDT

\(-1 +\frac{2\cdot x}{\sqrt{x^{2}+1}} = 0\)

\(2\cdot x = \sqrt{x^{2}+1}\)

\(4\cdot x^{2}-x^{2}-1=0\)

\(3\cdot x^{2} = 1\)

\(x^{2} = \frac{1}{3}\)

\(x = \frac{\sqrt{3}}{3}\)

SDT

\(y'' = \frac{2\cdot \sqrt{x^{2}+1}-2\cdot x \cdot \left(\frac{2\cdot x}{\sqrt{x^{2}+1}} \right)}{x^{2}+1}\)

\(y'' = \frac{2\cdot x^{2}+2-4\cdot x^{2}}{(x^{2}+1)^{3/2}}\)

\(y'' = 2\cdot \frac{1-x^{2}}{(x^{2}+1)^{3/2}}\)

\(y'' \approx 0.866\)

A minimum exists when \(y'' > 0\), then we conclude that \(x = \frac{\sqrt{3}}{3}\) lead to a relative minimum. And by (1) we have the minimum sum:

\(y = 3-\frac{\sqrt{3}}{3}+2\sqrt{\frac{4}{3} }\)

\(y = 3 - \frac{\sqrt{3}}{3} +\frac{4\sqrt{3}}{3}\)

\(y = 3+\frac{\sqrt{3}}{3}\)

The minimum value of the sum of the lengths of AP, BP and CP is \(3 + \frac{\sqrt{3}}{3}\) units.

Nota - The statement reports typographical issues, the correct form is presented below:

The isosceles triangle below has height AQ of length 3 and base BC of length 2. A point P may be placed anywhere along the line segment AQ. What is the minimum value of the sum of the lengths of AP, BP and CP.

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Step-by-step explanation:

It is given that, Jan is painting a square canvas. The length of one side of the canvas is 4 feet.

We need to write an equation to show how to find the area of the canvas.

For a square, all its sides are equal. Let the side is x. The area of a square is given by :

\(\text{Area}=\text{side}^2\\\\A=x^2\\\\A=4^2\\\\A=16\)

So, the equation that shows the area of the canvas is \(A=x^2\).

Answer:

y=1/3x+10.5

Step-by-step explanation:

y=mx+b, the equation of the parallel line is  y=1/3x+1/2. So we know the slope is 1/3 and all we need is the Y intercept (b). We can find that manually with arithmetic because we know the slope. It turns out to be 10.5

To find the polynomial equation of the graph.

Now, identify the x-intercept of the graph,

x=-3 , x=-1 , x=3, x=4.

these are the factors of the polynomial,

The polynomial is,

to determine the sketch factor use the y-intercept point.

(0,1).

Answer: 0

Step-by-step explanation: I am going by the words , there WERE 3 ponies. So Sarah couldn’t take any rides.

52s is the maximum time that she can take on her last lap and still make the team.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that he mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s).

The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.

We need to find the maximum time (in seconds) that she can take on her last lap and still make the team

Let x be the maximum time (in seconds) that she can take on her last lap

60=(63+62+65+58+x)/5

300=63+62+65+58+x

300=248+x

Subtract 248 on both sides

300-248=x

x=52s

Hence, 52s is the maximum time that she can take on her last lap and still make the team.

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the vectors are :  (i+5j) , (5i+j)

Here a vector is an object that has both a magnitude and a direction. Geometrically, able to picture a vector as a coordinated line fragment, whose length is the magnitude of the vector, and with an arrow demonstrating the direction. The direction of a vector is from its tail towards its head. Two vectors are the same on the off chance that they have the same magnitude and direction. We signify vectors utilizing boldface as in a or b. In the given graph we can see, for the vector T, it is 1 unit on the x-axis and 5 units on the y-axis, whereas for the vector S its 5 units on the x-axis and 1 unit on the y-axis. Since the unit vectors for the x-axis and y-axis are i and j,

So, the vectors will  i+5j and 5i+j

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