Find the distance between the points (5, 4) and (3, -1).

Answer:

3,550 $15 tixkets and 4,550 $25 tickets were sold.

Step-by-step explanation:

15 × 3550=53250

25 × 4550=113750

53250+113750=167000

Answer:

sí, (yo) quiero un chocolate

Answer:

45

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

Given the mean of 8 numbers is 41 , then

[tex]\frac{sum}{8}[/tex] = 41 ( multiply both sides by 8 )

sum of 8 numbers = 328

Given the mean of 2 numbers is 29 , then

[tex]\frac{sum}{2}[/tex] = 29 ( multiply both sides by 2 )

sum of 2 numbers = 58

The sum of the remaining 6 numbers = 328 - 58 = 270 , so

mean = [tex]\frac{270}{6}[/tex] = 45

The mean of the other 6 numbers = 45

Answer:

14.6 units

Step-by-step explanation:

AB = [tex]\sqrt{(1-3)^2+(3-5)^2}[/tex]

AB =[tex]\sqrt{8}[/tex]

BC = [tex]\sqrt{(3-1)^2+(-1-3)^2}=\sqrt{20}[/tex]

CD = [tex]\sqrt{(5-3)^2+(3-(-1))} = \sqrt{20}[/tex]

DA = [tex]\sqrt{(5-3)^2+(3-5)^2} = \sqrt{8}[/tex]

Primeter = [tex]\sqrt{8} + \sqrt{20} + \sqrt{20} +\sqrt{8} = 14.6[/tex]

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

Explanation:

The perimeter around the circle, aka circumference, is found through this formula

C = 2*pi*r

That's for a full circle. However, we're dealing with semicircles here, so we cut that in half to get pi*r to represent the curved distance around half the circle.

For the outer larger semicircle, that curved distance is exactly 14pi

For the inner smaller semicircle, that curved distance is 7pi, since 7 is half of 14.

The total curved portions is 14pi+7pi = 21pi

Then we add on the last straight line portion that's 14 cm long to get a total perimeter of 21pi+14

This is the exact perimeter in terms of pi.

The last thing to do is replace pi with 3.14 and simplify

21pi+14 = 21*3.14+14 = 79.94

This value rounds to 80

Answer:

- 10

Step-by-step explanation:

-6+8×5÷-10

-6+40÷-10

-6-4

-10

Answer and Step-by-step explanation:

According to PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction),

First we multiply, then divide, then finally add/subtract.

-8 times 5 is -40.

-40 divided by -10 is 4.

-6 - 4 = -10

The answer to the expression is -10.

#teamtrees #PAW (Plant And Water)

Answer:

C

Step-by-step explanation:

Answer:

12 units

Step-by-step explanation:

From the given figure,

AB=4 units & BC=3 units

By Pythagoras Theorem, [tex]AC^{2} = AB^{2} + BC^{2}[/tex]

Here, [tex]AC^{2} = 4^{2} + 3^{2}[/tex]

Thus, AC=5 units

Now, perimeter of triangle is equal to the sum of all sides.

Perimeter = AB + BC + AC = 4 + 3 + 5 = 12 units

Answer:

54,600 ways

Step-by-step explanation:

i hope you understand this

Answer:

C. 60° and 80°

Step-by-step explanation:

Sum of triangle = 180°

Therefore,

8x + 4 + 6x - 2 + 10x + 10 = 180

Add like terms

8x + 6x + 10x + 4 - 2 + 10 = 180

24x + 12 = 180

24x = 180 - 12

24x = 168

x = 168/24

x = 7

Find each measure of the angles by substitute x = 7 into each expression

8x + 4 = 8(7) + 4 = 60°

6x - 2 = 6(7) - 2 = 40°

10x + 10 = 10(7) + 10 = 80°

The answer is 60° and 80°

Answer:

9 peaches per bowl

40 hours each week

Answer:

Your mom

Step-by-step explanation:

Answer:

I don't know the answer

Step-by-step explanation:

c.1

Answer:

7.19%

Step-by-step explanation:

let i be the effective rate

[tex](1+\frac{.07}{4})^4=(1+i)\\.071859031[/tex]

The annual effective yield will be 7.19% for the investment.

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

Given that Candace invests $636 in an investment that pays 7% interest compounded quarterly.

The annual effective yield will be calculated as below:-

[ ( 1 + ( 0.07 / 4 )⁴ ] = ( 1 + i)

Solve the equation:-

i = 0.0718

i = 0.0718 x 100 = 7.19%

Therefore, the annual effective yield will be 7.19% for the investment.

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Step-by-step explanation:

Math is a language

say you plant two posts that are 5ft apart and you want to get up to 60ft

right now you've covered 5ft and now have 60 - 5 = 55ft to go.

you plant the next one: 55 - 5 = 50ft to go

instead of subtracting many times and counting hiw many times we've subtracted, we can use division

60ft / 5ft = 12 posts

to verify, you can multiply 5 and 12 which is the same as adding 5 + 5 + 5 + 5 +... + 5 = 5ft x 12 Posts= 60ft in total length

There are 12 posts for 60 feet of straight line fence.

Here,

Given that,

Post are space 5 feet apart.

We have to find number of posts for 60 feet of straight line fence.

What is Division method?

This method of distributing a group of things into equal parts is termed as division.

Now,

We can division method to find number of posts for 60 feet of straight line fence.

Here, Post are space 5 feet apart.

Number of posts = [tex]\frac{60}{5} = 12[/tex]

Hence, There are 12 posts for 60 feet of straight line fence.

Learn more about the Division method visit:

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Answer:

B

Step-by-step explanation:

This is because the difference of two squares follows the general equation of (x-a)^2 - a^2 - c

Answer:

It's a

Step-by-step explanation:

[tex] \frac{1}{4} {x}^{2} - 1[/tex]

[tex]{( \frac{1}{2} x)}^{2} - {1}^{2} [/tex]

Answer:

It's B, Points a and f. -5 and 5

Answer:

the answer to this is c no association.

Answer:

C

Step-by-step explanation:

The scatter plot doesn't look linear at all. Therefore, there is no association to game attendance and games won.

Step-by-step explanation:

1. Soit

T = le coût d'un ticket

5T + 1.8 = 35

T = (35-1.8)/5 = 6.64

On ne sait pas le coût d'un ticket de tramway! :(

2.

a.

1 h : 60 min

x : 18

x = 1*18/60 = 0.3, ou 0.3h

b. => 1h18m = 1.3h

3. 16 L : 4 h

a.

x L : 365*24

x = 365*24 * 16/4 = 35040 L

b.

1 m^3 = 1000 L : 5.2 euros

35040 L : y euros

y = 5.2*35040/1000 = 182.21 euros (au centième)

4.

a. Voir graphique ci-attachée.

b. On voit bien que tous les points tombent sur la droite passant par l'origine, donc la relation est linéaire, ou proportionnelle.

c. La hauteur requise pour 270L est de 100 cm, approximativement, selon la graphique.

Notez la ligne bleue horizontale.

d. L'équation de la capacité (C) versus la hauteur (h) est

C(h) = (8/3)h

Pour C=270, 270 = (8/3)h  => h=270*(3/8) = 101.25

5. et plus

Désolé, on vous conseil de soumettre une question de 4 parties ou moins.

Step-by-step explanation:

100%-3%=97%

$1500*97%=$1455

Answer:

Step-by-step explanation:

[tex]x_{1}=7 \ ; y_{1} = -4\\\\x_{2} = -8 \ ; y_{2}=5\\\\CD = \sqrt{(-8-7)^{2}+(5-[-4])^{2}}\\\\=\sqrt{(-15)^{2}+(5+4)^{2}}\\\\=\sqrt{225+(9)^{2}}\\\\=\sqrt{225+81}\\\\=\sqrt{306}\\\\=\sqrt{3*3*2*17}\\\\=3\sqrt{34}[/tex]

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}-(y_{2}-y_{1})^{2}}[/tex]

Step-by-step explanation:

Hey there!

The equation of a line which passes through the point (1,1) is (y-1) = m1 (x-1)...............(i) {using one point formula}

Also, another equation which is perpendicular to the line is y = 1/5 x + 4/5..........(ii)

Comparing equation (ii) with y= mx+c, we get;

Slope (m2) = 1/5.

Now, As per the condition of perpendicular lines,

m1*m2 = -1

or, m1 * 1/2 = -1

or, m1= -2

Therefore, m1 = -2.

Keeping the value of m1 in equation (i) we get;

y-1 = -2(x-1)

y-1 = -2x+1

or, y+2x-2= 0

Therefore, the required equation is 2x+y-2= 0.

Hope it helps!

Answer:

(x+2)(x-4)(x-3)

(x²-4x+2x-2)(x-3)

(x²-2x-2)(x-3)

=x³-5x²-2x+24

So the answer true

9514 1404 393

Answer:

  1731 ft

Step-by-step explanation:

The tangent relation is useful in this problem.

  Tan = Opposite/Adjacent

The height of the light is found to be ...

  tan(11°) = height/(639 ft)

  height = (639 ft)·tan(11°) . . . . . solve for height

Then the distance from the light to point B is ...

  tan(3°) = height/(B distance)

  B distance = height/tan(3°) = (639 ft)·tan(11°)/tan(3°) ≈ 2370 ft

Then the distance from point A to point B is ...

  2370 ft -639 ft = 1731 ft . . . AB distance

Tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance between points A and B is 1731 feet.

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

As it is given that the distance between the lighthouse and point A is 639 feet, while the angle of elevation from that point is 11°. therefore, using the tan function, the height of the lighthouse,

[tex]\rm Tan(\theta) = \dfrac{Perpendicular}{Base}\\\\Tan(11^o) = \dfrac{CD}{CA}\\\\Tan(11^o) = \dfrac{CD}{639}\\\\Tan(11^o) \times 639 = CD\\\\[/tex]

As we know that CD is the height of the lighthouse, now

In Δ BCD

The tan function for the distance between the lighthouse and point B can be written as,

[tex]\rm Tan(\theta) = \dfrac{Perpendicular}{Base}\\\\Tan(3^o) = \dfrac{CD}{CA}\\\\Tan(3^o) = \dfrac{Tan(11^o) \times 639}{CA}\\\\CA = 2370\ ft.[/tex]

Hence, the distance between the lighthouse and Point B is 2370 ft.

Now, we know the distance between the lighthouse and Point A, and the distance between the lighthouse and Point B, therefore,

The Distance between Point A and B (AB) = CB - CA

                                                                       = 2370 - 639

                                                                       = 1731 ft.

Learn more about Tangent (Tanθ):

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Answer:

.35

Step-by-step explanation:

35%

Percent means out of 100

35% = 35/100

Writing this as a decimal

.35

Answer:

(a)

[tex]\mu=54[/tex]    

The standard deviation is  

[tex]\sigma=6.6543[/tex]

(b)

[tex]\mu=246\\\sigma=6.6543[/tex]  

Here sample size is large and np and n(1-p) are both greater than 30. So we can use a normal approximation of binomial distribution. z-score for Y = 234.5 (using continuity correction) is  

[tex]z=-1.73[/tex]

So the approximate probability that at least 235 people in the sample will still be in the Rewards Program after the first four weeks is  

[tex]P(Y\geq 235)=P(Y\geq 234.5)=P(z\geq -1.73)=0.9582[/tex]

Step-by-step explanation:  

Let X is a random variable that shows the number of people who would drop out of the Rewards Program within four weeks. Here X has binomial distribution with parameters n = 300 and p = 0.18.

(a)  

The mean number of people who would drop out of the Rewards Program within four weeks in a sample of this size is  

[tex]\mu=np=300\cdot 0.18=54[/tex]  

The standard deviation is  

[tex]\sigma=\sqrt{np(1-p)}=\sqrt{300\cdot 0.18\cdot 0.82}=6.6543[/tex]  

(b)  

Let Y is a random variable that shows the number of people in the sample who will still be in the Rewards Program after the first four weeks. Here Y has a binomial distribution with parameters n= 300 and p=0.82. So mean of Y is  

[tex]\mu=np=300\cdot 0.82=246\\\sigma=\sqrt{np(1-p)}=\sqrt{300\cdot 0.18\cdot 0.82}=6.6543[/tex]  

Here sample size is large and np and n(1-p) are both greater than 30. So we can use a normal approximation of binomial distribution. z-score for Y = 234.5 (using continuity correction) is

[tex]z=\frac{Y-\mu}{\sigma}=\frac{234.5-246}{6.6543}=-1.73[/tex]  

So the approximate probability that at least 235 people in the sample will still be in the Rewards Program after the first four weeks is  

[tex]P(Y\geq 235)=P(Y\geq 234.5)=P(z\geq -1.73)=0.9582[/tex]

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

Explanation:

Define the events

The given probabilities are

The notation "P(F given H)" refers to conditional probability. If we know the person ordered a burger, then it changes the P(F) from 0.50 to 0.80; hence the events H and F are dependent.

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

We want to find the value of P(H and F), which is the same as P(F and H)

We can use the conditional probability formula

P(F given H) = P(F and H)/P(H)

P(H)*P(F given H) = P(F and H)

P(F and H) = P(H)*P(F given H)

P(F and H) = 0.60*0.80

P(F and H) = 0.48

There's a 48% chance someone orders a burger and fries.

Answer:

p = 2×h + 3

Step-by-step explanation:

for every hour in class she writes 2 pages.

so, the total number of pages written is 2 times the number of hours in class.

and she had already a starting "offset", a head start if you will, of 3 pages.

so, even if she spends 0 hours in class, she has these 3 pages no matter what.

hence the "+ 3" part.