Liam and Michael are going to play video games this afternoon. Together, they have 38 video games. If they decide to randomly choose two video games, what is the probability that the two they choose will consist of each of their favorite video games? Assume they have different favorites. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Answer:

Step-by-step explanation:

The area A of a rectangle is given by the formula, A=lw , where l is the length and w is the width.

so

8 * 15 = 120sq. units

Applying derivatives, it is found that the correct options are:

A. [tex]y^{\prime\prime}(x) = -\sin{x} + e^{-x}[/tex]

D. [tex]y - y^{\prime\prime\prime\prime}(x) = 3x[/tex]

The function given is:

[tex]f(x) = \sin{x} + e^{-x} + 3x[/tex]

It's first four derivatives are:

[tex]y^{\prime}(x) = \cos{x} - e^{-x} + 3[/tex]

[tex]y^{\prime\prime}(x) = -\sin{x} + e^{-x}[/tex]

Hence, option A is correct.

[tex]y^{\prime\prime\prime}(x) = -cos{x} - e^{-x}[/tex]

[tex]y^{\prime\prime\prime}(x) \neq y^{\prime}(x)[/tex], hence, option B is incorrect.

[tex]y^{\prime\prime\prime\prime}(x) = sin{x} + e^{-x}[/tex]

It is not the multiplication of the first and of the third derivative, hence option C is incorrect.

[tex]y - y^{\prime\prime\prime\prime}(x) = 3x[/tex]

[tex]\sin{x} + e^{-x} + 3x - \sin{x} - e^{-x} = 3x[/tex]

[tex]3x = 3x[/tex]

Hence, option D is correct.

A similar problem is given at https://brainly.com/question/17042788

Answer:

Step-by-step explanation:

120G + 400E  = 73.60

            400E = 73.60 - 120G

                   E = 0.184 - 0.3G

                   200G + 350E = 72.00

200G + 350(0.184 - 0.3G) = 72.00

         200G + 64.4 - 105G = 72.00

                                   95G = 7.60

                                        G = $0.08/unit

Answer:

That's an expensive a ss refrigerator It's time to choose an energy star refrigerator that's only going to cost them about $2.90 per month. in about 32 months paying $19 a month they would have paid for an energy star refrigerator. if they keep that same refrigerator they would be buying a brand new refrigerator every 32 months. spending the 600 dollars now for a new refrigerator would save them $16.10 per month. The savings would pay for that same refrigerator in about 38 months.

Answer:

24

Step-by-step explanation:

4x6=12or 2x6=12so then 12+12=24

Answer:

6 songs per hour, so multiply that with the number asked which is four

so four times six is24

so she can play 24 songs in four hours!

~ ...

~ !

~ !

Answer:

= 0.419

Step-by-step explanation:

in pic  

(Hope this helps can I please have brainlist (crown)☺️)

Answer:

solving for b is b ≤ 15/2 - 3d/10

solving for d is d ≤ 25 - 10b/3

Answer:

[tex]1\frac{1}{5}[/tex]

Step-by-step explanation:

2 1/4 + 2/5 / (-1/2)-1/4

order of operation states you do division before subtraction or addition

2 1/4 -4/5 -1/4....divide 2/5 by -1/2

2 - 4/5.................combine like terms

6/5........................subtract

1 1/5.......................simplify

Answer:

see below

Step-by-step explanation:

a = 4

b = -2

c = -8

d = -11

Answer:

a=4, b=-2, c=-8, and d=-11

Step-by-step explanation:

its pretty easy

Answer:

ABWJRIRISBDBDBHSHS

Step-by-step explanation:

Hatdog HWHWHWHSHSHSQIWIW

Step-by-step explanation:

the radius is diameter divided by 2

7/2/2 =1 .75

circumference of a circle is 2πr

2*22/7*1.75=11

3.14*11 =34.54

Answer:

7.5 cm

Step-by-step explanation:

Since it's a right triangle, apply pythegorean theorem

Let the missing side be x

[tex] {7.8}^{2} = 2.1 { }^{2} + x {}^{2} [/tex]

[tex]60.84 = 4.41 + {x}^{2} [/tex]

[tex] {x}^{2} = 60.84 - 4.41[/tex]

[tex] {x}^{2} = 56.43[/tex]

[tex] \sqrt{ {x}^{2} } = \sqrt{56.43} [/tex]

[tex]x = 7.5[/tex]

Therefore, the length of the missing side is 7.5 cm

Answer:

  8. x=6; supplementary consecutive interior angles

  10. x = 4; no applicable theorem

Step-by-step explanation:

The marked angles are "consecutive interior" angles. When their sum is 180°, the lines l and m will be parallel.

  (7x -15) +(24x +9) = 180

  31x = 186

  x = 6

Consecutive interior angles being supplementary will make the lines parallel.

__

The sum of the remote interior angles of a triangle is equal to the exterior angle:

  28x = 48 +16x

  12x = 48

  x = 4

The above relation holds regardless of whether line l is parallel to line m. There is no applicable theorem or converse.

_____

Additional comment

Adding the marking shown in the attachment would make the converse of the alternate interior angles theorem applicable to problem 10.

Answer:

31

Step-by-step explanation:

as we put the value of X in the function it gives 3

Answer:

2

Step-by-step explanation:

After reflecting ABC over the y-axis and translating that image down, ABC will map onto DEF.

Answer:

(2)

Step-by-step explanation:

If you reflect ABC across the y axis it would look like DEF but above the x axis; translate it down and you get DEF.

Answer:

Where is the problem?

Step-by-step explanation:

Answer: The Chocolate shop

Step-by-step explanation:

We should get the cost per one pack for each store.

For the Sweet Store we divide 3.00 by twelve for the cost of one which is:

3 divided by 12 = 0.25

One pack at a sweet store is $0.25

Now do the same for the other stores:

4.67 divided by 22 = 0.21 (Rounded to 2 decimal points)

5.40 divided by 18 = 0.3

7.20 divided by 36 = 0.2

Sweet Store: one pack is $0.25

Delicious Treats: one pack is $0.21

Sugar Factory: one pack is $0.30

Chocolate Shop: one pack is $0.20

Therefore the Chocolate shop is giving you the best deal since each pack is cheaper.

Answer:

The answer will be 5.

Step-by-step explanation:

using the formula d=/(x2-x1)2 +(y2-y1)

Step-by-step explanation:

x + y = 6

+ x - y = -2

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

2x + 0 = 4

x = 2

2 + y = 6

y = 4

Answer:

C

Step-by-step explanation:

-(-4)

so -×- becomes +

so -(-4)= 4

Answer:

No the answer is D

Step-by-step explanation:

-2

Using the t-distribution, it is found that since the p-value of the test is 0.72 > 0.05, there is not significant difference between the values of each group.

At the null hypothesis, we test if the groups have the same values, that is, the subtraction of their means is 0:

[tex]H_0: \mu_2 - \mu_1 = 0[/tex]

At the alternative hypothesis, we test if the groups have different values, that is, the subtraction of their means is different of 0:

[tex]H_1: \mu_2 - \mu_1 \neq 0[/tex]

First, we have to find the mean and the standard deviation for both samples, hence, using a calculator:

[tex]\mu_1 = 18.75, \sigma_1 = 6.2507, \mu_2 = 19.75, \sigma_2 = 4.2678[/tex]

The standard errors are:

[tex]s_1 = \frac{\sigma_1}{\sqrt{n_1}} = \frac{6.2507}{\sqrt{8}} = 2.21[/tex]

[tex]s_2 = \frac{\sigma_2}{\sqrt{n_2}} = \frac{4.2678}{\sqrt{8}} = 1.5089[/tex]

For the distribution of differences, we have that:

[tex]\overline{x} = \mu_2 - \mu_1 = 19.75 - 18.75 = 1[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{2.21^2 + 1.5089^2} = 2.676[/tex]

We have the standard deviation for the samples, hence, the t-distribution is used. The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu[/tex] is the value tested at the null hypothesis, which is 0 for this problem. Hence, the value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

[tex]t = \frac{1 - 0}{2.676}[/tex]

[tex]t = 0.37[/tex]

To find the p-value, we have a two-tailed test, as we test if the means are different from a value, with t = 0.37 and 8 + 8 - 2 = 14 df.

Using a t-distribution calculator, this p-value is of 0.72.

Since the p-value of the test is 0.72 > 0.05, there is not significant difference between the values of each group.

A similar problem is given at https://brainly.com/question/15682365

Answer:

jokes aside it is 19

Step-by-step explanation:

but if it is jokes then 21

Answer:

Step-by-step explanation:

the answer would be 21

Answer:

6 is 100 times 0.06  

0.06 is 10 times 0.006  

60 is 1/100 of 6,000

Step-by-step explanation:

Since 6/100 is equal to 0.06, we can say that 6 is the result of multiplying 0.06 by one hundred (0.06 x 100 = 6).  

On the other hand, since 0.06 / 10 is equal to 0.006, it is correct to say that 0.006 x 10 is equal to 0.06 (0.006 x 10 = 0.06).  

Finally, 60 is one hundredth of 6000, since multiplying 60 x 100 the result is 6,000 (6,000 / 100 = 60).

hope this really helped!!

mark me brainliest :D

The complete sentences are:

6 is 100 times 0.06 .

0.06 is 10 times 0.006.

60 is 1/100 of 6,000.

"6 is 100 times greater than 0.06":

This means that if you multiply 0.06 by 100, you get 6.

So, 6 is indeed 100 times larger than 0.06.

"0.06 is 10 times greater than 0.006":

In this case, if you multiply 0.006 by 10, you get 0.06.

Thus, 0.06 is 10 times larger than 0.006.

"60 is 1/100 of 6,000":

This means that if you divide 6,000 by 100, you get 60.

So, 60 is a hundredth (1/100) of 6,000.

Hence, 6 is 100 times 0.06  

0.06 is 10 times 0.006  

60 is 1/100 of 6,000

To learn more on Number system click:

https://brainly.com/question/1763119

#SPJ3

Answer:

2,4,6,

6,12,18

10,20,30

Answer:

Step-by-step explanation:

Correct Answer: C

We can rely on the guess and check method to easily solve this problem. Let’s first pick arbitrary values of x and y to eliminate some answer choices.

Let’s consider the case where |x| and let x = 3 and y = -10.

Because x/y = -3/10 < 1, answer choice A is incorrect.

Because |x|2 = (3)2 = 9 and |-10| = 10, we have that |x|2 < y, so answer choice B is also incorrect.

Because x2 + 1= (3)2 + 1 = 10 and y2 + 1 = (10)2 + 1 = 101, we have that x2 + 1 < y2 + 1, so answer choice D is also incorrect.

Now, let’s consider the case where |x|>|y| and let x = 3 and y = -2.

Then, x-2 = 1/x2 = 1/9 and y-2 = 1/y2 = 1/4. This means that x-2 < y-2 , so answer choice E is also incorrect.

This means that answer choice C is correct. We can manipulate the inequality to see why this is true: (x/3 – 5) > (y/3 – 5)

We add 5 to both sides: x/3 > y/3

We multiply both sides by 3: x > y.

We know this is true since we are given that x > 1 > -1 > y, which simplifies to x > y.

Answer:

7

Step-by-step explanation:

as -7a^5c^2 term has two cofficient a and b and each have power.by adding power of one term we get 7

Answer:

False.

Step-by-step explanation:

A x b does not equal to A + b. Addition and mutiplication is different.

31=1-(5/9)x

30=-(5/9)x

x=54

The answer is 54 people.

hope this helps :)