A statistical test is performed for assessing if men have a longer mean nose length than women. The p-value is 0.225. Which of the following is the most appropriate way to state the conclusion??

a. Men have a longer mean nose length than women.
b. The probability is 0.225 that men and women have the same mean nose length.
c. The mean nose lengths of the populations of men and women are identical.
d. There is not enough evidence to say that men have a longer mean nose length than women.

Answer:

138 pound

Step-by-step explanation:

Given

A certain medicine is given in an amount proportional to a patients body weight.

thus,

ratio will be

amount of medicine: weight of patient

Given

Suppose a person weighted 104 pounds requires 156 milligrams of medicine.

amount of medicine = 156 milligram

weight of patient = 104 pound

Thus, ratio will be = 156/104

___________________________

What is the weight of a patient who requires 207 milligrams of medicine

Let the weight of weight of patient here be x

thus, ratio in this case will be

207/x

we also know in ratio and proportion that

if two ratio a:b and c:d are equal then a:c = c:d

here also the ratio will be same

Thus,

156/104 = 207/x

=> 156x = 207*104 = 21,528

=> x = 21,528/156 = 138

Thus, weight of patient is 138 pound.

Answer:

SOLUTION SET={x<-3/2   or   x≥48/5} option A

Step-by-step explanation:

12x+7<-11                           and            5x-8≥40

solving the both inequalities

12x+7-7<-11-7                     and             5x-8+8≥40+8

12x<-18                              and              5x≥48

12x/12<-18/12                     and               5x/5≥48/5

x<-3/2                                and               x≥48/5

SOLUTION SET={x<-3/2   or   x≥48/5}

i hope this will help you :)

Answer:

  the height of the cylinder is 7 units greater than the radius

Step-by-step explanation:

When you match the forms of the equations ...

  [tex]V=\pi r^2(r+7)\\V=\pi r^2h[/tex]

you see that the factor (r+7) corresponds to the height (h) of the cylinder. That is ...

  the height of the cylinder is 7 units greater than the radius.

Answer:

B. .32

Step-by-step explanation:

I think its B .32

Answer:

A

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

Since the die has 6 sides that are all equally likely to be landed on, the probability of landing on 2 is 1/6, as there is one "favorable" outcome and 6 total outcomes. Hope this helps!

Answer:

1/6

Step-by-step explanation:

Sides of dice = 6

Number 2 in dice = 1

P(2) = 1/6

Answer:

1/2

Step-by-step explanation:

The numbers that are 6 or even on the cards are 2, 4, and 6.

3 cards out of a total of 6 cards.

3/6 = 1/2

Answer:

1/2 chance

Step-by-step explanation:

There are 3 numbers that fit the rule, 2, 4, and 6. 3/6 chance of picking one or 1/2, simplified.

Answer:

work is shown and pictured

Answer:

  320 square units

Step-by-step explanation:

The four rectangles that approximate the area are shown in the graph. They have heights of 48, 64, 48, and 0. The width of each is 2. Then the total area is the sum of the products of length and width:

  2·48 +2·64 +2·48 +2·0 = 2·160 = 320 . . . square units

Answer:

x^2   +y^2 = 16    

Step-by-step explanation:

The equation of a circle is given by

(x-h) ^2 + (y-k)^2 = r^2  where (h,k) is the center and r is the radius

(x-0) ^2 + (y-0)^2 = 4^2

x^2   +y^2 = 16        

Answer:

x = 16

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(x+2) * 2 = 6^2

2(x+2) = 36

Divide each side by 2

x+2 = 18

Subtract 2

x+2-2 = 18-2

x = 16

Answer:

x = 16

Step-by-step explanation:

According to tangent-secant Theorem:

(Tangent)² = (External Part of the secant)(Whole Secant)

(6)² = (2)(2+x)

36 = 4+2x

Subtracting 4 from both sides

36-4 = 2x

=> 2x = 32

Dividing both sides by 2

Answer:

3/4

Step-by-step explanation:

The numbers odd or less than 3 are 2, 3, and 5.

3 numbers out of 4.

P(odd or less than 3) = 3/4

Answer:

Length of the sides of the base (x) = 7.606 ft

Height (h) = 3.802 ft

The minimum surface area is 173.55 ft²

Step-by-step explanation:

Surface area is given by:

[tex]S(x) = x^2+\frac{880}{x}[/tex]

The value of x for which the derivate of the surface area function is zero, is the length of the sides of the base that minimizes surface area:

[tex]S(x) = x^2+\frac{880}{x} \\\frac{dS(x)}{dx}=0=2x-\frac{880}{x^2}\\x^3=440\\x=7.606\ ft[/tex]

The height of the box is given by:

[tex]V=hx^2\\220 =h*7.606^2\\h=3.802\ ft[/tex]

The dimensions of the box with minimum surface area are:

Length of the sides of the base (x) = 7.606 ft

Height (h) = 3.802 ft

The absolute minimum is:

[tex]S(x) = 7.606^2+\frac{880}{7.606}\\S_{min}=173.55\ ft^2[/tex]

The minimum surface area is 173.55 ft²

Answer:

The absolute minimum of the surface area[tex]=173.55$ ft^2[/tex]

At the minimum surface​ area,

Step-by-step explanation:

Volume of the box =220 cubic feet.

[tex]\text{Surface Area, } S(x)=x^2+\dfrac{880}{x}[/tex]

To find the absolute minimum of the surface area function on the interval ​[tex](0,\infty)[/tex], we take the derivative of S(x) and solve for its critical points.

[tex]S(x)=\dfrac{x^3+880}{x}\\S'(x)=\dfrac{2x^3-880}{x^2}\\$Setting the derivative equal to 0\\S'(x)=\dfrac{2x^3-880}{x^2}=0\\2x^3-880=0\\2x^3=880\\$Divide both sides by 2\\x^3=440[/tex]

Take the cube root of both sides

[tex]x=\sqrt[3]{440}\\ x=7.61$ ft[/tex]

Therefore, the absolute minimum of the surface area function on the interval [tex](0,\infty)[/tex], is:

[tex]S(x)=\dfrac{7.61^3+880}{7.61}\\\\=173.55$ ft^2[/tex]

Since the volume of the box =220 cubic feet

[tex]V=x^2h\\220=7.61^2 \times h\\h=220 \div 7.61^2\\h=3.80 ft[/tex]

The dimensions of the box with the minimum surface​ area are base length of 7.61 feet and height of 3.8 feet.

please see the attached picture for full solution..

Hope it helps..

Good luck on your assignment...

Answer:

a) [g ° h](x)  = 3x² +6

b) [h ° g](x) =3 x²+36x+108

Step-by-step explanation:

Explanation:-

a)

Given g(x) = x+6 and h(x) = 3x²

Given [g ° h](x) = g(h(x))

                          = g(3x²)       (∵ h(x) =3x²)

                         = (3x²)+6      (∵ g(x) =x+6)

∴ [g ° h](x)  = 3x² +6

b)

Given [h ° g](x) = h (g(x))

                          = h(x+6)     (∵ g(x) =x+6)

                         = 3 (x+6)²    (∵ h(x) =3x²)

                         = 3 (x²+2(6)x+36)    (∵ (a + b)² = a²+2ab+b²)

                         = 3 (x²+12x+36)

                        = 3 x²+36x+108)

     ∴ [h ° g](x) =3 x²+36x+108

Answer:

The answer is:

A. It is in the quadrants I and III.

Step-by-step explanation:

I am not sure if this is correct, but I tried my best :)

I hope this helped~

Answer:

x = -13 or 2

Step-by-step explanation:

x² + 11x + ¹²¹/₄ = ¹²⁵/₄

(x + ¹¹/₂)² = ¹²⁵/₄

x + ¹¹/₂ = ±¹⁵/₂

x = -¹¹/₂ ± ¹⁵/₂

x = -13 or 2

Answer: D is the correct answer.

Step-by-step explanation: I took the test :)

Answer:

one thousand

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

=> [tex]4a^2-4ab+b^2[/tex]

Where a = 2, b = 3

=> [tex]4(2)^2-4(2)(3)+(3)^2[/tex]

=> 4(4) - 4(6) + 9

=> 16 - 24 + 9

=> -8 + 9

=> 1

Answer:

1.

Step-by-step explanation:

Substituting for a and b we have

4(2)^2 - 4*2*3 + (3)^2

= 16 - 24 + 9

= -8 + 9

= 1.

Answer:

B) the amount of debt you have

C) your payment history

E) the number of loans you have

Step-by-step explanation:

To determine the three pieces of information that contribute the most to your credit score, we have to find the factors that affect credit score calculation.

The major factors that affect a person's credit score calculation include : Payment history:

This is the most important factor that affect your credit score. Lenders want to be sure that you have a reputation back your debt and on time when you apply for new credit.

Amount of Debt :

This is the amount of overall debt you carry. It is the ratio of your credit card balances to your credit limit. Too much debt can hurt your credit score

Credit History:

This is a borrower's track record for repaying debts and how old it is. Opening new accounts within a short time will affect your credit score.

Account Mix: having a diverse portfolio of credit accounts could tell how well you manage different credits.

Credit Inquiries:

Several applications involving inquiries into your credit check within a short duration can affect your credit score.

Therefore the three pieces of information that would contribute the most to your credit score:

B) the amount of debt you have

C) your payment history

E) the number of loans you have

Answer:

I graphed the equation on the graph below.

Step-by-step explanation:

y − 4 = -3(x + 5)       Distribute

y - 4 = -3x - 15

 + 4           + 4         Add 4 to both sides

y = -3x - 11               This is the equation in slope-intercept form, which is easier to graph

A line is a one-dimensional shape that is straight. The equation y-4 = -3(x + 5) can be represented on a graph as shown below.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is constant.

If we solve the given equation, the equation will reduce in the form of an equation of a line, therefore, the equation can be written as,

y − 4 = -3(x + 5)

y - 4 = -3x - 15

y = -3x - 15 + 4

y = -3x - 11

Hence, the equation y-4 = -3(x + 5) can be represented on a graph as shown below.

Learn more about Equation of Line:

https://brainly.com/question/21511618

#SPJ2

Answer:

15.81

Step-by-step explanation:

Sorry for the delay

Answer:

the last one is correct

Step-by-step explanation:

hello,

-4(-11+4n)-3(-2n+9) = 44 - 16n + 6n - 27 = -10n + 17

hope this helps

Answer:

-38.

Step-by-step explanation:

p(x) = -x^3 - 2x^2 + 7

p(3) = -(3^3) - 2(3^2) + 7

p(3) = -27 - 2(9) + 7

p(3) = -27 - 18 + 7

p(3) = -45 + 7

p(3) = -38

Hope this helps!

Answer:

p(3) = -38

Step-by-step explanation:

p(x) = -x³ - 2x² + 7

p(3) = -3³ - 2(3)² + 7

p(3) = -27 - 2(9) + 7

p(3) = - 27 - 18 + 7

p(3) = -38

Answer:

  A'Y' is parallel to AY

Step-by-step explanation:

If X is the center of dilation, the only lines that go through X after the dilation are the ones that go through X before the dilation: XY (and XY'), XZ (and XZ').

Line AY does not go through X, so A'Y' will not go through X. Rather, the line will be moved a distance from X according to the dilation factor. The line A'Y' will be parallel to AY.

Answer:

The probability of getting someone who tests positive, given that he or she did not have the disease = P(P|No) = 0.041

Step-by-step explanation:

Complete Question

The data represents the results for a test for a certain disease. Assume one individual from the group is randomly selected. Find the probability of getting someone who tests positive, given that he or she did not have the disease.

P/N | Yes | No

+ve | 141 | 6

-ve | 11 | 142

Note that +ve and -ve l stands for testing positive and negative respectively.

Yes and No represents whether one has the disease or not respectively.

Solution

Let

- The event of testing positive be P.

- The event of testing negative be N.

- The event of having the disease be Yes.

- The event of not having the disease be No.

The probability of getting someone who tests positive, given that he or she did not have the disease = P(P|No)

The conditional probability of A given B is given mathematically as

P(A|B) = P(A n B) ÷ P(B)

Hence,

P(P|No) = P(P n No) ÷ P(No)

To solve these probabilities, we first define the probability of an event as the number of elements in that event divided by the Total number of elements in the sample space.

P(No) = n(No) ÷ n(Sample space)

n(No) = 6 + 142 = 148

n(Sample Space) = 141 + 11 + 6 + 142 = 300

P(No) = (148/300)

P(P n No) = n(P n No) ÷ n(Sample space)

n(P n No) = 6

n(Sample Space) = 300

P(P n No) = (6/300)

P(P|No) = P(P n No) ÷ P(No)

= (6/300) ÷ (148/300)

= (6/148)

= 0.0405405405 = 0.041 to 3 d.p.

Hope this Helps!!!

Answer:

Step-by-step explanation:

The Pythagorean theorem can be used to find the lengths of the segments at the top of the square. The left one is found from ...

  FA² = FE² +EA²

  13² -12² = EA² = 169 -144 = 25

  EA = √25 = 5

The right one is found from ...

  FB² = FE² +EB²

  15² -12² = EB² = 225 -144 = 81

  EB = √81 = 9

Then the length of the side of the square is ...

  AB = AE +EB = 5 +9

  AB = 14

__

The length of the diagonal can also be found using the Pythagorean theorem.

 AC² = AB² +BC² = 14² +14²

 AC = √(196 +196) = 14√2 ≈ 19.7990

Rounded to the nearest integer, AC ≈ 20.

Step-by-step explanation:

12q+3r=15

-4q-4r=-44

12q+3r=15

-12q-12r=-132

-9r=-117

r= 13

12q + 39 = 15

12q= -24

q= -2

(-2,13)

An equation is formed when two equal expressions. The solution (q, r) to this system of linear equations is (-2,9).

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given the two equations, Therefore, the solution (q, r) to this system of linear equations can be found as shown below.

12q + 3r = 15...............equation 1

–4q – 4r = –44...........equation 2

Divide the first equation by 3,

4q + r = 5

Solving for r,

r = 5 - 4q

Substitute the value of r in the second equation,

–4q – 4r = –44

–4q – 4(5-4q) = –44

-4q - 20 + 16q = -44

12q = -44 + 20

12q = -24

q = -2

Substitute the value of q in the first equation,

12q + 3r = 15

12(-2) + 3r = 15

-24 + 3r = 15

3r = 15 + 12

3r = 27

r = 9

Hence, the solution (q, r) to this system of linear equations is (-2,9).

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ5

Answer:

He rode farther on Sunday

135/7 - 139/8 = 107/56 or 1 51/56 miles farther

Answer:D

Step-by-step explanation: I got a hundred on my test.

Answer:

  (3.6, 0), (0, -2)

Step-by-step explanation:

To find the y-intercept, set x=0:

  -5·0 +9y = -18

  y = -18/9 = -2

To find the x-intercept, set y=0:

  -5x +9·0 = -18

  x = -18/-5 = 3.6

The intercepts are ...

  x-intercept: 3.6

  y-intercept: -2

Answer:

Perimeter is when you add up all of the sides, and the area is when you multiply length times width.