Carmine reads an article that says that male college students study less than female college students. Carmine wonders if this is really so. He asks 20 randomly selected students – 10 males and 10 females – from his coed dorm to record their study times for a period of 4 weeks. Here are the students’ average weekly study times, to the nearest half-hour:
Male Female
13.5 15.5
6.5 10.0
8.0 10.5
14.5 7.0
12.5 13.0
16.0 12.5
12.0 11.0
9.5 8.5
7.0 8.0
11.5 13.0
a. Is the research hypothesis in this study directional or nondirectional?
b. State the research hypothesis.
c. Calculate t and compare it with the tabled critical t at the .05 ? level. Can you reject the null hypothesis?
d. Do you think these samples are representative of all college males and females? To what populations can Carmine rightfully infer the results?

Answer:

A1 / B1 ;

(D1 - A1) / B1 ;

(A1 - E1*A1) / B1

Step-by-step explanation:

A1 = original price of car

B1 = annual Depreciation amount

Number of years it will take for the car to depreciate totally :

Using the straight line Depreciation relation :

y = mx + c

c = intercept = initial or original value of car

m = annual Depreciation amount

x = number of years

y = value after x years

For total Depreciation, final value, y = 0

0 = mx + c

mx = - c

x = - c / m

Hence, x = A1 / B1

B.)

D1 = car value

Length it will take for car to depreciate to value in D1 :

y = mx + c

y = D1; m = B1 ; c = A1

D1 = B1x + A1

B1x = D1 - A1

x = (D1 - A1) / B1

C.)

E1 = decrease percentage

Time it takes for car to decrease by percentage in E1

y = E1 * A1

E1 * A1 = B1x + A1

(A1 - E1*A1) = B1x

x = (A1 - E1*A1) / B1

Eli will bike 20.5 miles in 2 hours

Firstly ,

We know 1 minute = 60 seconds

Then 15 feet / seconds = 15*60 = 900 feet

Eli bikes 900 feet in one minute

Now, We know

1 hour = 60 minutes

900*60=54000 feet

In 1 hour Eli bikes 54000 feet

In 2 hours Eli bikes 54000*2 = 1,08,000 feet

Now for converting feet into miles

1 mile = 5.280 feet

For 1,08,000 feet

1,08,000 / 5.280

= 20.4545 ≈ 20.5

Hence In 2 hours Eli bikes 20.5 miles

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Answer:

16.5

Step-by-step explanation:

36^2-32^2 =272

sqrt272 =16.5

The height of the building is approximately 16.5 feet.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Given that, place a 36-foot ladder against the top of a building and the bottom of the ladder is 32 feet from the bottom of the building.

So, hypotenuse of the triangle is 36 feet and base of the triangle is 32 feet.

Let h be the height of the building.

Now, 36²=32²+h²

1296=1024+h²

h²=1296-1024

h²=272

h=16.5 feet

Therefore, the height of the building is approximately 16.6 feet.

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Answer:

almost anything but 162-108

Step-by-step explanation:

I just started with a number (162) and then subtracted 54 and got 108 then I subtracted 108 from 162 and got 54

Answer:

898,9

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

there are 5 sections regardless of how many time she rolls it ti does not change the probability of landing on b so it's 1/5

Answer:

11.

Step-by-step explanation:

[tex] \cos(42) = x \div 15[/tex]

[tex]15 \cos(42) = x[/tex]

x=11.147

Answer:

11

Step-by-step explanation:

cos(42)=x÷15

15 \cos(42) = x15cos(42)=x

x=11.147

Answer:

B will the correct answer.

Step-by-step explanation:

1/2 + 2/3 = 7/6 = 1 1/6

1/3 + 1/8 = 11/24

3/4 + 3/5 = 27/20 = 1 7/20

4/5 + 7/10 = 15/10 = 1 1/2

1 1/6 > 1

11/24 > 1

1 7/20 > 1

1 1/2 > 1

Answer:

x=-16 uwu

Step-by-step explanation:

the two lines mean absolute value, then you have

16+x=0

substract 16 from both sides

x=-16

Answer:

x = -16

Step-by-step explanation:

Since this equals zero, there will be only one answer.

We can remove the absolute value brackets, and solve normally.

- 16 - x = 0

Add 16 to both sides.

- 16 + 16 - x = 0 + 16

Simplify.

- x = 16

Multiply the entire equation by -1

-1(-x) = -1(16)

x = -16

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Basically, The point where the dot is, is -16.

Hope I Helped, have a nice day!

         -Aadi x

Answer:

so the answer is+$:$_1;28_6(4?3926$54;2(the 35$$-(3836252;3(837353+3(383635;33(836$-

Step-by-step explanation:

thanks me later

Answer:

c bc c is a fraction which is smaller than a #

Answer:

3/8

Step-by-step explanation:

If there are three blue tickets out if 8, (which is 3 blue and 5 black put together), you'd have a 3/8 chance of pulling a blue ticket.

Answer:

A = 6 u²

Steps:

A = (4×3)/2

A = 12/2

A = 6 u²

Answer:

24 in long by 12 in wide.

Step-by-step explanation:

l=2w

288=(2w)×w

288=2w^2

144=w^2

12=w

use w=12 to solve for l

l=2(12)

l=24

Answer:

Hey! Do we have options?

Step-by-step explanation:

Either way, 2x4/6 is simplified to...

4/3,1.3 ,1 1/3

Hope this helps!

Have a nice day <3

The value of set of models is equivalent to the expression 2 x 4/6 is,

⇒ 4 / 3

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The expression is,

⇒ 2 × 4/6

Now, We can simplify as;

⇒ 2 × 4/6

⇒ 8/6

⇒ 4 / 3

Thus, The value of set of models is equivalent to the expression 2 x 4/6 is,

⇒ 4 / 3

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Step-by-step explanation:

We will have the following

*First: We have that the area of a sector of a circle is given by the expression:

A = r²a/2

Here r is the radius and alpha is the central angle.

*Second: We determine the central angle as follows:

[tex]36\pi =[/tex]

(12)²a/2 ➡️ a = 36í•2/(12) ²➡️

[tex]a = \frac{1}{2} \pi[/tex]

So, the central angle has a measurement of 1/2 pi.

Third: We determine the perimeter of the sector as follows:

First: we determine the arc length with two times the radius, that is:

p = 2(12) +

[tex]6\pi[/tex]

➡️ p = 24 +

[tex]6\pi[/tex]

So, the perimeter of the sector is 24+ 6pi meters [ Approximately 43 meters].

Answer:

450

Step-by-step explanation:

Answer:3:1

Step-by-step explanation:

Given

There are 27 solid spheres of  radius x cm

The volume of a sphere is [tex]\frac{4}{3}\pi r^3[/tex]

The volume of 27 old spheres is the same as the volume of a new sphere

The volume of the old spheres is

[tex]V_o=\dfrac{4}{3}\pi x^3[/tex]

The volume of a new sphere is

[tex]V_n=\dfrac{4}{3}\pi y^3[/tex]

Now,[tex]V_o=V_n[/tex]

[tex]\Rightarrow 27\times \dfrac{4}{3}\pi x^3=\dfrac{4}{3}\pi y^3\\\\\Rightarrow (\dfrac{x}{y})^3=27\\\\\Rightarrow \dfrac{x}{y}=3[/tex]

Answer:

67

Step-by-step explanation:

(90÷18)-(18÷6)-(6÷3)= 72-3-2= 67

Answer:

king, queen, jack, ace

Step-by-step explanation:

this depends on what game's rules and scoring you're using, but I'd say the face cards

Answer:

ching song

Step-by-step explanation:

blig blong

Answer:

D. 39000 m

Step-by-step explanation:

13 km * 3 week * 1000 m(=1 km) = 39000m

Answer:

Step-by-step explanation:

2 Loaves of Bread is = 2.25*2 = 4.5 cups

She used the remaining flour to make 48 muffins.

48/24 = 2

3.25*2 = 6.5 cups

6.5 cups + 4.5 cups = 11 cups

225 is about 200

12 is about 10.

To put the same in each vase, we divide.

200÷10=20

So the answer for the best estimate would be D, 20 flowers.

Answer:

C) 50

Step-by-step explanation:

50

Answer:

C: 50

Step-by-step explanation:

The inner diamond has congruent sides

Half of the line segment on the left is 25.

The other half of the left line segment is also 25

Together, the left line segment is 50 units

The inner diamond has both 90 degree angles and 18 unit long sides

Thus, we know that both sides are congruent

Finally, the right side is the same length as the left side

The right side is 50 units long

Answer:

I think it is x-2 and x=8

Hope it helps

Answer:

um

Step-by-step explanation:

um

Answer:

Step-by-step explanation:

What do we know: hypotenuse and the adjacent.

SOH CAH TOA

Cos(14)/1 = x/480

Answer = 465.74