Topic: Probability


Only complete question 7.

Answer:

c

Step-by-step explanation:

2x + 3y > 6                                                                                                          (1)

3x – 2y = 9                                                                                                         (2)

x + 5y = 20                                                                                                        (3)

From (1) and (2), we have:

(2x + 3y) - (3x - 2y) > 6 - 9

5y - x > -3                                                                                                          (4)

From (3) and (4), we have:

(x + 5y) - (5y - x) > 20 - (-3)

2x > 23

x > 12,5                                                                                                               (5)

From (3) and (5), we have:

x + 5y = 20 ⇔ 12,5 + 5y > 20

5y > 7,5

y > 1,5

So: C = 4x + 3y > 12,5 × 4 + 1,5 × 3 = 50 + 4,5 = 54,5

Conclusion: C > 54,5

Answer:

Step-by-step explanation:

5. a) ∠1 and ∠2 are remote interior angles of ∠ACD so that means that ∠ACD = ∠1 + ∠2

   b) Because an exterior angle is the sum of its two remote interior angles it makes sense that an exterior angle is greater in measure than either of its remote interior angles.

6. BD = DB  Reflexive property

    ∠3 = ∠5, ∠4 = ∠6  Alt. int. angles

    ΔADB = ΔCDB   ASA

7. AB = BC Def. of midpoint

   ∠1 = ∠2 Given

   ∠BAE = ∠CBD Corresponding angles

   ΔBAE = ΔCBD ASA

    ∠D = ∠E CPCTC

Answer:

B or D

Step-by-step explanation:

best bet is B

Answer:4

Step-by-step explanation:

Answer:

The Correct answer is D

Step-by-step explanation:

I got it right on my test :)

Answer:

A (-2, 10)

Step-by-step explanation:

If you plug in the point into x and y you should get "false" on a calculator, or the answer won't make sense, meaning that it's not a part of the set

(-2,10) is not the solution set of the given equation [tex]3y+2 =x^{2} -5x+17[/tex].

The solution, or root, of an equation is any value or set of values that can be substituted into the equation to make it a true statement.

According to the given question

We have an equation

[tex]3y + 2 =x^{2} -5x+17[/tex]

The above equation can be written as

[tex]x^{2} -5x +17-3y-2=0...(i)[/tex]

For finding the point which is not the solution set of the equation, first we will substitute the given points in the above equation and check whether it making the equation true or not.

For point (-2, 10)

Substitute, x = -2 and y = 10 in the equation (i)

[tex](-2)^{2} -5(-2) + 17 - 3(10) -2\\=4+10+17-30-2\\= -1\neq 0[/tex]

Hence, (-2, 10) is not the solution of the given equation.

For point (5, 5)

Substitute, x = 5, and y = 5 in equation (i)

[tex](5)^{2} -5(5)+17-3(5)-2\\=25-25+17-15-2\\=0[/tex]

Hence, (5, 5) is the solution of the given equation.

Learn more about solution to the equation here:

https://brainly.com/question/545403

#SPJ2

- 6 x⁴ - 4 x³ + 7 x² - 2 x

+ .. . . - 6 x³ + 4 x² - 8 x + 10

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

-6 x⁴ -10 x³ + 11 x² -10 x + 10

Answer:

Since both terms are perfect squares, factor using the difference of squares a^2-b^2=(a+b)(a-b) where a=5x and b=4y

(5x+4y)(5x-4y)

Answer:

B

Step-by-step explanation:

Looking at the graph we can see that the function is increasing -4<x<-2 and 0<x2

The graph is increasing when it is going upwards, or has a slope greater than 0

We can see that happening in two places in the function, which are the intervals of the x coordinate in B

Answer:

B

Step-by-step explanation:

The function is increasing - 4 < x < - 2 and 0 < x < 2 and has a slope greater than 0, and it's happening at 2 places on the graph, so it's B

Hope this helps!

Answer:

The domain is {0.5, 1, 1.5, 2}

The range is {1.9, 3.8, 5.7, 7.6}

Step-by-step explanation:

The cost, y is in dollars, and x in pounds of almonds is shown in the  table.

x (pounds)                 y ($)

0.5                               1.9

1                                   3.80

1.5                                5.70

2                                  7.60

The grocery store sells almond at $3.80 per pound, the relation between y and x is given by the function:

y = 3.8x

The x values are the independent variables and they serve as the input of the function while the y values are the dependent variables (dependent on x) and the serve as the output of the function.

The domain consist of input values which is the x values. The domain is {0.5, 1, 1.5, 2}

The range consists of all output values i.e the y values. The range is {1.9, 3.8, 5.7, 7.6}

Any number of pounds of almonds can be purchased, including partial amounts, so the relation described in the table is continuous.

Because x can be any positive number of pounds, the domain of the relation is x ≥ 0, or x-values greater than or equal to 0.

Because y can be any positive dollar amount, the range of the relation is y ≥ 0, or y-values greater than or equal to 0.

Answer:

Amy is (21.6 - 14.4) 7.2 km/hr faster than Bill.

Distance = speed / time

Amy's speed

40 minutes = 40/60 = 2/3 hours

14.4 = speed / 2/3

Speed = 14.4 * 3/2 = 21.6 km/ hr

Bill speed

60 minutes = 1 hour

Speed = 14.4 km / hr.

Answer:

1/2 Is Greater

Step-by-step explanation:

If you have HALF of 100 you have have 50. If you have 1/100 of 100 you have 1. Therefore, 50>1, so 1/2 is greater.

Answer:

30%

Step-by-step explanation:

Think of the 10 as 100%. 2 as 20% and so on. The green makes up 30%.

Answer:

$15

Step-by-step explanation:

Since there are 10 cards and a total possible prize of 30 dollars, the probability for each one is 30/10=3 dollars. And since 5 out of the 10 are even, you can multiply the individual amount by 5 to get a total estimated payout of $15. Hope this helps!

Kelas : VII (1 SMP)

Materi : Geometri

Kata Kunci : Garis, Sisi, Rusuk, Bidang

Pembahasan :

Titik adalah bentuk yang paling dasar dalam geometri. Titik ditulis dengan tanda titik dan diberi nama dengan huruf besar. Sebuah titik hanya untuk menunjukkan posisi dan memiliki ukuran nol (panjang nol, lebar nol, dan tinggi nol).

Garis adalah kumpulan titik-titik yang memanjang secara tak berhingga ke dua arah. Sebuah garis memiliki panjang tidak terbatas.

Ruas garis adalah potongan sebuah garis. Sebuah ruas garis memiliki dua titik ujung dan diberi nama menurut kedua titik ujungnya.

Sinar garis merupakan bagian dari sebuah garis, namun hanya memiliki satu titik ujung. Sebuah sinar garis diberi nama dengan huruf titik ujungnya dan titik lain pada sinar garis tersebut.

Sudut adalah dua sinar yang memiliki titik ujung yang sama.

Titik ujung tersebut dinamakan titik sudut dan sinar-sinar garisnya dinamakan sisi-sisi sudut. 

Bidang adalah kumpulan titik yang jumlahnya tak terhingga yang membentuk permukaan rata yang melebar ke segala arah sampai tak terhingga. Sebuah bidang memiliki panjang tak terbatas, lebar tak terbatas, dan tinggi nol. Sebuah bidang biasanya digambarkan dengan gambar segi empat dan diberi nama dengan satu huruf besar.

Rusuk adalah suatu garis yang merupakan pertemuan dari dua sisi bidang.

Dua bidang berpotongan bila terdapat garis persekutuan atau garis potong antara kedua bidang tersebut.

Dua bidang sejajar bila antara kedua bidang tersebut tidak memiliki garis persekutuan.

Dua bidang berhimpit bila setiap titik terletak pada kedua bidang tersebut.

Mari kita lihat soal tersebut.

Jika dua bidang saling berpotongan dan tidak berhimpitan, maka perpotongannya berbentuk garis.

Jadi, jawabannya adalah B.

Semangat!

Answer:

By repeated subtraction.

Step-by-step explanation:

It is pretty much the same thing as division, but in subtraction. Since, Dividing and Subtraction are a like, repeated subtraction is a great example to use for this example

Hope this helps. :)

Answer:

kk so like, division is just repeated subtraction. like idk say you have 36 and you divide it by 9 so I think you just keep subtracting 9 until you reach 0? so you end up subtracting 9 four times which happens to be the quotient for 36/9. yeah. it's almost like how multiplication is just repeated addition.

Answer:

the sum of the series is 365 is my answer

Answer:

see below

Step-by-step explanation:

The equation of a circle can be written as

( x-h) ^2 + (y-k) ^2 = r^2

( x-3)^2 + (y+4) ^2 = 36

Rewriting this equation

( x - 3)^2 + ( y - -4)^2 = 6^2

The center is at (3,-4) and the radius is at 6

Susan did not use the formula correctly.

It is x-h and y-k so she needed to rewrite to get the equation in the proper form

Also the radius is r^2 not r/2

Considering the number of student tickets sold as x.

5x+7*120=1840

5x+840=1840

5x=1840-840

5x=1000

x=1000/5

x=200

200 student tickets were sold.

Answer:

2x + y^2

Step-by-step explanation:

We group the like terms, so:

x + x = 2x

y * y = y^2

_______________________________

Hey!!

Solution,

X+X+y*y

= 2x+y^2

The answer is 2x+y^2

hope it helps

Good luck on your assignment

____________________________

Answer:

See explanation

Step-by-step explanation:

During September, they ran half a mile once, 1 mile twice, 1.5 miles 4 times, and 1.75 miles once. This is a total of 8 runs below 2 miles in length. Meanwhile, they ran 2 miles twice, 2.5 miles twice, 2.75 miles 4 times, and 3 miles 5 times, a total of 13 runs over 2 miles. Therefore, Michelle is correct. Hope this helps!

Answer:

We just have to do 15 ÷ 15/4 = 15 * 4/15 = 4.

Answer:

-17/5

Use math papa it gives you the answer all you have to do is unput the equation

Step-by-step explanation:

Answer:

6000000 divided by 10 = 600000

Step-by-step explanation:

Your answer should make sense

Answer:

$7.50

Step-by-step explanation:

Since there is a 50% chance that the card is odd, the expected payoffs would be $15 * 50%=0.5*15=7.5. Hope this helps!

Answer:

2x - 4

Step-by-step explanation:

x - 5 + x + 1

→Add like terms (x and x, -5 and 1):

2x - 4

Answer:

So since you have the ratio of 1 : 4

we need to find 3 : x

since 1*3 = 3. We multiply all by 3

4*3 =12.

Answer is 12

Answer:

Given:  P(A ∩ B) = 0, P(B) = 0.9, P(A ∪ B) = 0.9.

We have: P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

=>  0.9 = P(A) + 0.9 - 0

=> P(A) = 0.9 - 0.9 = 0

Hope this helps!

:)

Answer:

525/50=10.5 it will take 10.5 weeks to get rid of every car we however only need to have below 75 so 525/50w<75

Step-by-step explanation:

First you need to divide 525 by 50 to show how many weeks it will take to sell all the cars. And then it should be one less week than the answer you just reacieved.

Answer:

it depends how many games you want. If you want 1 game for the xbox then its $174 but if you want a ps4 with a game then its $200. I would go with the xbox.

Answer:

The answer is D.

Step-by-step explanation:

You have to divide it by 2 :

∠RST = ∠ROT ÷ 2

= 46° ÷ 2

= 23°

O represents the centre of circle.

(Correct me if I am wrong)

Answer:

D. 23°

Step-by-step explanation:

The measure of central angle is twice the angle of circumference lying on the same arc. So,

<RT = 2(<RST)

<RST = <RT/2

<RST = 46/2

<RST = 23°