1) An i staircase has a 10 inch vertical rise per step to get to the second floor of the house. If the angle of elevation is 30.20 degrees and there are 12 feet of horizontal space total for each of the landings combined, answer the following questions showing each step of your work:

a) What is the landing space per step (in inches, rounded to the nearest inch)?

b) Find the vertical rise from the 1st floor to the 2nd floor (in feet, rounded to the nearest foot).

A and b are both questions regaurding the stairs. Answer both, and show your work to recieve brainliest.

Answer: Its a rational number

Step-by-step explanation: All repeating decimals are rational :)

x = amount (kg) of 25% coper alloy

y = amount (also kg) of 70% copper alloy

Each kilogram of the 25% alloy contains 0.25 kg of copper, while each kilogram of the 70% alloy contains 0.7 kg of copper. When combined, the metalworker ends up with (x + y) kg of an alloy that should consist of 52% copper, so that it contains 0.52 (x + y) kg of copper.

The metalworker wants to make 50 kg of this new alloy, so that

x + y = 50

of which 52%, 0.52 (50 kg) = 26 kg, is copper, so

0.25x + 0.7y = 26

Solve for y in terms of x :

y = 50 - x

Substitute this into the other equation and solve for x :

0.25x + 0.7 (50 - x) = 26

0.25x + 35 - 0.7x = 26

9 = 0.45x

x = 20   →  y = 30

Answer:

1.099 * 10^-8 ; 4.23 * 10^-5 ; 0.0036

Step-by-step explanation:

Given :

p = 0.6

Sample size, n = 20

P(x = 0)

Using binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

1 - p = 1 - 0.6 = 0.4

P(x = 0) = 20C0 * 0.6^0 * 0.4^20

P(x = 0) = 1 * 1 * 1.099511627776E−8

P(x = 0) = 1.099 * 10^-8

2) Exactly 3;

P(x = 3) = 20C3 * 0.6^3 * 0.4^17

P(x = 3) = 1140 * 0.216 * 0.00000017179869184

P(x = 3) = 0.0000423037098786816

P(x = 3) = 4.23 * 10^-5

3.) More than 17

P(x > 17) = P(x = 18) + P(x = 19) + P(x = 20)

Using calculator :

P(x > 17) = 0.0036

9514 1404 393

Answer:

  k = 4.5

  y = 4.5x . . . y bracelets in x hours

Step-by-step explanation:

The constant of proportionality is the "unit rate", the number of bracelets per hour.

  k = bracelets/hours = 36/8 = 4.5

The constant of proportionality is 4.5 (bracelets per hour).

__

The equation of a proportional relationship is ...

  y = kx

For this relationship, ...

  y = 4.5x . . . . . . y bracelets in x hours

Answer:

n = 120

Step-by-step explanation:

Given that,

Side length the cube = 3 inches = 0.25 feet

We need to find the number of games can be packed inside of a box whose dimensions are 5 foot by 3 foot by 2 feet.

Let there are n games.

[tex]n=\dfrac{\text{Volume of box}}{\text{Volume of the game}}\\\\=\dfrac{5\times 3\times 2}{0.25}\\\\n = 120[/tex]

Hence, there are 120 games packed inside the box.

Answer:

[tex]c=20[/tex]

Step-by-step explanation:

The diagonals of a rectangle always bisect each other. Therefore, we can set [tex]QT=ST[/tex]:

[tex]c=4c-60,\\-3c=-60,\\c=\fbox{20}[/tex]

Answer:

2:14 and 3:21

Step-by-step explanation:

Answer:

b = 18

Step-by-step explanation:

We do the inverse operation thing:

3 x 6 = 18

We can check it by filling it in:

18/6 = 3

So b = 18

Answer:

0.986

Step-by-step explanation:

Probability of at least one being vac = 1 - Probability of all 5 not vac

1 - (1-0.57)^5 = 1 - (0.43^5) = 1 - 0.014 = 0.986

The probability that at least one of the five randomly chosen individuals had received a vaccination is around 0.956, or 95.6%.

Given that in a population, 57% people were vaccinated.

5 people are randomly selected, we need to find the probability that at least one of them has been vaccinated.

To calculate the probability that at least one of the five randomly selected people has been vaccinated, we can use the complementary probability approach.

The probability that none of the five people have been vaccinated is equal to the complement of the probability that at least one of them has been vaccinated.

So, let's calculate the probability of none of them being vaccinated and subtract it from 1 to find the desired probability.

The probability that a randomly selected person has not been vaccinated is 1 - 0.57 = 0.43 or 43%.

Since the selection of each person is independent, the probability that all five of them have not been vaccinated is:

P(Not Vaccinated) = 0.43⁵ = 0.043855

The probability that at least one of them has been vaccinated is the complement of the above probability:

P(at least one vaccinated) = 1 - P(not vaccinated)

= 1 - 0.043855 = 0.956145

Therefore, the probability that at least one of the five randomly selected people has been vaccinated is approximately 0.956 or 95.6%.

Learn more about probability click;

https://brainly.com/question/31828911

#SPJ4

Answer:

−2(3x+12y−5−17x−16y+4)

=(−2)(3x+12y+−5+−17x+−16y+4)

=(−2)(3x)+(−2)(12y)+(−2)(−5)+(−2)(−17x)+(−2)(−16y)+(−2)(4)

=−6x−24y+10+34x+32y−8

=28x+8y+2

Answer:

2.4

Step-by-step explanation:

The formula you would use is: A = P(1 + rt)

P is the principal which is $270

r is the interest rate

t is the time in years but we have 11 days so 11/360

A is $19.8

let's put the values in the formula

$289.9= $270(1 + r*(11/360))

you will find the r is 2.4

Answer:

okkokokokokokoookkijoiig

Answer:step 3 Step-by-step explanation: because it is right and i took the test edge 2021

Answer:

32 people can she serve

Step-by-step explanation:

12x8=96

96 divided by 3=32

Answer:

2: a2-x2

4: b2-2bx+x2

6: -2bx

Step-by-step explanation:

The following procedure will be

1.  a²=h²+x²

2.  h²= a²-x²

3.  c² = h² + (x-b)²

4.  c² = h² + x² + b² -2xb

5.  c² = a²-x² + x² + b² -2xb

6.  c² = a² +b² -2xb

7.  x = a CosC

8.  c² = a² +b² -2ab CosC

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Right angle triangle

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

The following procedure will be

1.  a²=h²+x²

2.  h²= a²-x²

3.  c² = h² + (x-b)²

4.  c² = h² + x² + b² -2xb

5.  c² = a²-x² + x² + b² -2xb

6.  c² = a² +b² -2xb

7.  x = a CosC

8.  c² = a² +b² -2ab CosC

More about the triangle link is given below.

https://brainly.com/question/25813512

Answer:oop I put the answer in da wrong play my bad have a good day or night

Step-by-step explanation:

M=2

Answer:

g(-1)=1/1296

g(.25)=1/6

g(0)=1

g(.25)=6

g(.50)=36

g(.75)=216

​g(1)=1,296

:)

[tex]16 - 3 \times 5 {}^{2} \div 5[/tex]

[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{1} [/tex]

[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{ - 1} [/tex]

[tex]16 - 3 \times 5 {}^{2 - 1} [/tex]

[tex]16 - 3 \times 5 {}^{1} [/tex]

[tex]16 - 3 \times 5[/tex]

[tex]16 - 15[/tex]

[tex]1[/tex]

HopeItHelps you

#CarryOnLearning

Answer:

4

Step-by-step explanation:

Answer:

125  56 − x 7

Step-by-step explanation:

1/2-3/8/1/3+4/7(5- 1/4 x)

Answer:

D infitently Many

Step-by-step explanation:

A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases. One solution. A system of linear equations has one solution when the graphs intersect at a point.

Step-by-step explanation:

We are solving for the number of students in each bus, so let x represent the number of students in each bus.

We have 4 + 9x = 472.

=> 9x = 468, x = 52.

Hence there are 52 students on each bus.

Answer:

-9

Step-by-step explanation:

Answer:

47 apples

Step-by-step explanation:

50 apples - 3 apples

47 apples

Answer:

56 apples

Step-by-step explanation:

Answer:

YOUR MOM IS THAT BIG

Step-by-step explanation:

LOL