A university administrator was interested in determining if there was a difference in the distance students travel to get from class from their current residence(in miles). Men and women at UF were randomly selected. The Minitab output is below. What is the best interpretation for the output?
Difference = mu (F) - mu (M)
T-Test of difference = 0 (vs not =): T-Value = -1.05 P-Value = 0.305 DF = 21
A. With a p-value of 0.305, we do have statistically significant evidence that the population mean distance traveled to class is different for men and women.
B. With a p-value of 0.305, we do have statistically significant evidence that the population mean distance traveled to class is the same for men and women.
C. With a p-value of 0.305, we do not have statistically significant evidence that the population mean distance traveled to class is the same for men and women.
D. With a p-value of 0.305, we do not have statistically significant evidence that the population mean distance traveled to class is different for men and women.

Answer:

f(x)=(x+4)+3

f(x)=4x+3

Answer:

Step-by-step explanation:

Statements                                 Reasons

DA  ≅ WG                                   Given

WA ≅ DG                                    Given

DW ≅ WD                                  Reflexive property

ΔDAW ≅ ΔWGD                        SSS

Answer:

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:

congruent means they are the same and all sides of a square are the same size.

Answer:

-1

Step-by-step explanation:

Answer:

145°

Step-by-step explanation:

x°+70°=(2x-5)°

x°+70°=2x°-5°

70°+5°=2x°-x°

75°=x°

x=75

JKM=(2x-5)°

=(2x75-5)°

=(150-5)°

=145°

Answers:

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

Explanation:

The simple interest formula is

i = p*r*t

where in this case,

So,

i = p*r*t

i = 3000*0.10*0.25

i = 75 is the amount of interest earned

This adds onto the initial deposit to get the final balance when the CD matures (ie when you're able to withdraw the money without penalties)

The balance at maturity is p+i = 3000+75 = 3075 dollars

---------------

In short, you deposit $3000 into the CD and have to wait 3 months for the amount to update to $3075.

Answer:

Step-by-step explanation:

x + ab = p

x = p - ab

Answer:

The x and y values of the coordinates satisfy the system of equations.

Step-by-step explanation:

[tex]when \: x = 5 \: and \: y = - 4 \\ 3x - 2y = 3(5) - 2( - 4) \\ = 15 + 8 \\ = 23 \\ \\ 2x + y = 2(5) + ( - 4) \\ = 10 - 4 \\ = 6[/tex]

Answer:

x= -1

Step-by-step explanation:

if

f(x) = -x-3

and

f(x) = -2

than

-x-3 = -2; add 3 to both sides

-x-3+3 = -2+3

-x = 1 ; multiply both sides by -1

x= -1

Step-by-step explanation:

hope it helps you..........

Answer:

104/4 pi

Step-by-step explanation:

Answer: The circumference of a circle is:

Radius = r, Diameter = d, C = Circumference

C=2πr (as 2r=d)

C=πd

-------------

If the radius of the circle is 26" then its diameter must be 52".

This means that the bicycle wheel has a circumference of 52π".

I'm going to divide 52π" into 360 parts (because a circle is made up of 360 degrees). I'll then multiply this value by 80 to give you an answer.

Answer:

observational study

Explanation:

The above is an example of observational study. An observational study merely observes and takes note, it does not try to interfere or intervene with the sample by deciding who would be exposed or not exposed to a certain explanatory variable(such as a disease). On the other hand, the experimental study divide up samples into groups, having the experimental group and the control group. This way the researcher interfers with the sample: The experimental group being the group exposed to the independent/explanatory variable while the other/control group is not.

Answer:

y = 33/5

Step-by-step explanation:

Distribute

3(2y-8)-y = 9

6y - 24 - y

5y - 24 = 9

Add 24 to both sides

5y = 9 + 24

5y = 33

y = 33/5

9514 1404 393

Answer:

  II only

Step-by-step explanation:

You can simplify the inequality like this:

  3 -8 > 8 -8 + 5x . . . . . . . . subtract 8 from both sides

  -5 > 5x . . . . . . . . . . . . . simplify

  -5/5 > (5x)/5 . . . . . . . divide both sides by 5

  -1 > x . . . . . . . . . . . . simplify

I find this easier to compare to a numbers on a number line if the inequality symbol points to the left. (This is a personal preference. YMMV)

  x < -1

Now, we can see that only numbers to the left of -1 on the number line will be suitable values for x. Of those listed, only -9 is a solution.

  II only

Answer:

a. [tex]P(2 \leq X \leq 3) = 0.5[/tex]

b. [tex]P(X \geq 1) = 0.9[/tex]

c. [tex]P(X < 2) = 0.25[/tex]

d. [tex]P(X > 3) = 0.25[/tex]

Step-by-step explanation:

We are given the following distribution:

[tex]P(X = 0) = 0.1[/tex]

[tex]P(X = 1) = 0.15[/tex]

[tex]P(X = 2) = 0.25[/tex]

[tex]P(X = 3) = 0.25[/tex]

[tex]P(X = 4) = 0.15[/tex]

[tex]P(X = 5) = 0.1[/tex]

a. Two or three bars

[tex]P(2 \leq X \leq 3) = P(X = 2) + P(X = 3) = 0.25 + 0.25 = 0.5[/tex]

Thus:

[tex]P(2 \leq X \leq 3) = 0.5[/tex]

b. At least one bar

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1 = 0.9[/tex]

Thus:

[tex]P(X \geq 1) = 0.9[/tex]

c. Fewer than two bars

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.1 + 0.15 = 0.25[/tex]

Thus:

[tex]P(X < 2) = 0.25[/tex]

d. More than three bars

[tex]P(X > 3) = P(X = 4) + P(X = 5) = 0.15 + 0.1 = 0.25[/tex]

Thus:

[tex]P(X > 3) = 0.25[/tex]

Step-by-step explanation:

The Kevin leans 24.58 feet high up the wall does the ladder reach.

We have given that,

Kevin leans a 26-foot ladder against a wall so that it forms an angle of [tex]71^{\circ}[/tex]ground.

and we have to find the  high up the wall does the ladder reach.

we have to use the trigonometric ratio.

[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]

So find the height of the wall we have to use the sine ratio suppose the height is x feet

We can see in diagram,

[tex]sin(71)=\frac{x}{26} \\26 sin(71)=x\\x=24.58[/tex]

Therefore,the Kevin leans 24.58 feet high up the wall does the ladder reach.

To learn more about the trigonometric ratio visit:

https://brainly.com/question/24349828

Answer:

x = 2

Step-by-step explanation:

The given triangle is a (30 - 60 - 90) triangle (this refers to the angle measurements). One property of a (30 - 60 - 90) triangle is that its side follows the following ratio,

[tex]x:x\sqrt{3}:2x[/tex]

Where the side opposite the (30) degree angle measures (x), the side opposite the (60) degree angle measures ([tex]x\sqrt{3}[/tex]) and the side opposite the (90) degree angle measures (2x).

One can use this ratio in the given triangle. Since it is given that the side opposite the (90) degree angle measures (4), and the side opposite the (30) degree angle measures (x), one can form an equation and solve for the unknown,

(2x) = (4)

Inverse operations,

x = 2

Answer:

0

Step-by-step explanation:

Ignore the next 2 numbers after 0.05. To the nearest whole number, round 0.05 to the nearest tenth, 0.1. Then round that to the nearest whole number, 0, which is your answer.

9514 1404 393

Answer:

  no

Step-by-step explanation:

The measures 14, 18, 33 cannot correspond to the sides of a triangle. The two short sides total 32 in length, so cannot meet up with the ends of the side whose length is 33. A triangle cannot be formed.

Answer:  (1, -9)

Hope this helped!

Step-by-step explanation:

Answer:

2006

799

Step-by-step explanation:

Given the expression:

The right hand side of the sun must be equal to the left hand side ;

Therefore ;

864+2006=--------+864

The sum of 864 and 2006 must be equal to the right hand side sum ; hence

864+2006= 2006 +864

Similarly, the left hand side and right havd side must also be equal here ;

5351 + 574 + 799 = 574 + 5351 + 799

Hence, the missing value is 799

Answer:

true

Step-by-step explanation:

The diameter of a circle is a single line segment that stretches the entire width of the circle, intersecting with the center point and two points around the circumference. The diameter measures how wide the circle is, and is always equal to twice the radius (2r).

Answer:

The appropriate answer is "144".

Step-by-step explanation:

Given:

Population standard deviation,

[tex]\sigma=10.4[/tex]

Margin of error,

[tex]E=1.7[/tex]

[tex]CL=95[/tex] %

[tex]CL=1-\alpha[/tex]

Or,

[tex]\alpha=1-CL[/tex]

  [tex]=1-0.95[/tex]

  [tex]=0.05[/tex]  

Now,

Critical value,

= [tex]Z_{\frac{\alpha}{2} }[/tex]

= [tex]Z_{\frac{0.05}{2} }[/tex]

= [tex]1.96[/tex]

The minimum sample size will be:

⇒ [tex]n=\frac{Z^2_{\frac{\alpha}{2} }(\sigma)^2}{E^2}[/tex]

By putting the values, we get

       [tex]=\frac{(1.96)^2(10.4)^2}{(1.7)^2}[/tex]

       [tex]=\frac{415.5074}{2.89}[/tex]

       [tex]=143.774[/tex]

or,

       [tex]=144[/tex]  

Answer:

12

Step-by-step explanation:

To find how many hours, you need to divide by 6.25.

75 / 6.25 = 12.

Answer:

10x+8

Step-by-step explanation:

4( x + 2) + 6x

Distribute

4x+8 +6x

Combine like terms

10x+8

Answer:

10x+8

Step-by-step explanation:

4x+8+6x

(4x+6x)+8

10x+8

Answer:

f(-3)=-2,5

f(-1)=-1,5

f(3)=¾

Answer:

-5/2

3/2

3/4

Step-by-step explanation:

Answer:

mKML+mMLK=mJKM

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are scalene, acute, obtuse, equilateral, isosceles, and right triangle.

As shown in the diagram, polygon MLK is a triangle. The sum of angles in a triangle is equal to 180°, hence:

m∠MLK + m∠KML + m∠MKL = 180° (sum of angles in a triangle).

m∠MKL = 180 -  (m∠MLK + m∠KML)      (1)

Also along line JL, the sum of angles on one side of a straight line is 180°, therefore:

m∠JKM + m∠MKL = 180° (sum of angles in a straight line)

m∠JKM + m∠MKL = 180°                (2)

From equations 1 and 2, equating give:

m∠JKM + [180 -  (m∠MLK + m∠KML)) =  180

m∠JKM + 180 - m∠MLK - m∠KML =  180

m∠JKM = m∠MLK + m∠KML

Answer:

The actual distance is of 21.76 kilometers.

Step-by-step explanation:

Scale problems are solved by proportions, using a rule of three.

The scale on a map is given as 1 : 320,000

This means that each unit on the map represents 320,000 units of distance.

Distance between the top of the two mountains on the map is 6.8cm

Then

1 cm - 320,000 cm

6.8 cm - x

Applying cross multiplication:

[tex]x = 6.8*320000 = 2176000[/tex]

Distance in kilometers

To convert from centimeters to kilometers, we divide by 100000. So

2176000/100000 = 21.76

The actual distance is of 21.76 kilometers.