Answer:
1:50
Step-by-step explanation:
The drawing's scale factor is
1:50
Explanation:
In drawing, width of the garage is 6 cm and in actual width of the garage is 3m or 3×100=300 cm.
Hence, the drawing's scale factor is 6:300 and dividing by 6, it is 1:50
(a) What is the probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50
Using the normal distribution and the central limit theorem, it is found that there is a 0.0901 = 9.01% probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50.
What is probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment. To find the probability of a single event to occur, first, we should know the total number of possible outcomes.To learn more about distribution refer to:
https://brainly.com/question/4079902
#SPJ4
25
1 point
(3x + 32)
(5x - 8)
Select the correct equation to solve for x,
3x + 32 + 5x - 8 = 180
3x + 32 = 5x - 8
3x + 32 + 5x - 8 = 90
The value of x is 20
Now, According to the question:
The given equation is:
3x + 32 = 5x - 8
To solve the equation for finding the value of x .
32 + 3x = -8 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
32 + 3x -5x = -8 + 5x -5x
Combine like terms:
3x -5x = -2x
32 -2x = -8 + 5x -5x
Combine like terms: 5x -5x = 0
32 -2x = -8 + 0
32 -2x = -8
Add '-32' to each side of the equation.
32 -32 -2x = -8 -32
Combine like terms: 32 -32 = 0
0 -2x = -8 -32
-2x = -8 -32
Combine like terms: -8 -32 = -40
-2x = -40
Divide each side by '-2'.
x = 20
Learn more about Equation at:
https://brainly.com/question/29657992
#SPJ4
PLEASE HELP! Jake and Hakeem's rocket's flight is approximately modeled by the equation h(t) = - 12t ^ 2 + 36t + 3 where h(t) is the height in meters of their rocket seconds after launch.
Jake and Hakeem's rocket's flight is approximately modeled by the equation h(t) = - 12t ^ 2 + 36t + 3. The rocket's highest point is 30m
What is the height?Generally, Since we are not instructed on what to look for, we are able to determine the highest point that the rocket ever achieved.
Given that the rocket's flight can be approximated approximatively using the equation,
h(t) = - 12t ^ 2 + 36t + 3
At maximum height dh/dt = 0
dh/dt = --24t + 36
0 = -24t + 36
24t = 36
t= 36/24
t = 1.5s
Find out the maximum height.
h(1.5) = - 12 (1.5)^ 2 + 36(1.5) + 3
h(1.5) = - 12(2.25) + 54 + 3
h(1.5) = -27 + 57
h(1.5) = 30m
As a result, the rocket is only capable of reaching a height of 30 meters at its highest point.
Read more about height
https://brainly.com/question/10726356
#SPJ1
Molly and Liza are exercising. Molly does
10 push-ups at the same time
as Liza
does 15 push-ups. When Molly does
40 push-ups, how many push-ups does
Liza do?
Answer:
25
Step-by-step explanation:
so molly and liza are exercising right?.so 10 push-ups at the same time wich means they do 10 push-ups together and liza push-ups 15 and molly does 40 pushups so. its addition so 10+15=25 so thats the answer.
Solve for x. each figure is a parallelogram
it's 40 points for the 4
3.) x = 15.25 or 15 1/4 ( not sure if you'll need to round your answer )
4.) x =6
5.) x = 10
6.) x = 9
Explanation:
1.) write your equation down 8x + 9 = 131
2.) Subtract +9 from 131. you'll get 122
3.) divide 8x and 122.
4.) Then there's your answer 15.25
you'll do the same thing throughout each equation. write down your equation but with the 22x and 23x you're going to subtract 22x from 23x. and you'll get 1x then continue on the same way as with the last equation.
The container has 1 gallon of water. Each bottle holds 1/8 of a gallon. How many bottles of water does the container hold?
The total quantity of water that the container would have to hold is given as 8.
How to find the total quantity of waterWe know that the container holds 1 gallon of water, and that each bottle holds 1/8 of a gallon. To find out how many bottles the container can hold we need to divide the container size by the size of each bottle.
We can use the following formula to find the number of bottles:
Number of bottles = Container size / Size of each bottle
We can substitute the values into the formula:
Number of bottles = 1 / (1/8) = 8
So the container can hold 8 bottles of water.
Read more on quantities here: https://brainly.com/question/29022471
#SPJ1
What are 3 examples of perfect squares?
Three examples of perfect squares is 1) 9, as it is equal to 3 x 3.2) 16, as it is equal to 4 x 4.3) 25, as it is equal to 5 x 5.
What is perfect squares?Perfect squares are numbers that can be expressed as the product of two equal integers, such as 4, 9, and 16. These numbers can be written as the square of a single number, such as 2² = 4, 3² = 9, and 4² = 16. Perfect squares are also known as whole squares, and they provide an easy way to find the square root of a number.
Perfect squares are numbers that are the result of multiplying a number by itself. For instance, 4 is a perfect square because it is equal to 2 x 2.
Similarly, 9 is a perfect square because it is equal to 3 x 3. Perfect squares can be easily identified by their square root, which is the number that can be multiplied by itself to produce the perfect square.
For example, the square root of 16 is 4, since 4 x 4 = 16.
To know more about perfect squares click-
https://brainly.com/question/27307830
#SPJ4
3. 2 Roulette wheel: The game of roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2
green. A ball is spun onto the wheel and will eventually land in a slot, where each slot has an equal chance
of capturing the ball.
a) You watch a roulette wheel spin 9 consecutive times and the ball lands on a red slot each time. What is
the probability that the ball will land on a red slot on the next spin?
(please round to four decimal places)
b) You watch a roulette wheel spin 320 consecutive times and the ball lands on a red slot each time. What
is the probability that the ball will land on a red slot on the next spin?
x (please
round to four decimal places)
The probabilities for the game of roulette that involves spinning a wheel with 38 slots, for a and b, are 0.4737, or 18/38, or 47.37%.
The following are the rationales:
(a) The probability of the ball landing on a red slot on any given spin is 18/38, or 0.4737, or 47.37%. This probability does not change based on the outcome of previous spins, as each spin is independent of the others and the probability of landing on a red slot is always the same. So, the probability of the ball landing on a red slot on the next spin is also 18/38, or 0.4737, or 47.37%.(b) The probability of the ball landing on a red slot on any given spin is 18/38, or 0.4737, or 47.37%. This probability does not change based on the outcome of previous spins, as each spin is independent of the others and the probability of landing on a red slot is always the same. So, even though the ball has landed on a red slot 300 consecutive times, the probability of the ball landing on a red slot on the next spin is still 18/38, or 0.4737, or 47.37%Learn more about probability here: brainly.com/question/25839839
#SPJ4
Find the product using any method. (Need some help!!)
Answer:
2n^2-8n-24
Step-by-step explanation:
Uhm i just did this one with one of my classmates like 2-3 months ago so it just came to mind.
Hope this helped tho! :)
HELP!
4(2x-3)=6x+2
I thought when I simplify it 22x=14 but its wrong
Answer:
the answer is 1
Step-by-step explanation:
4(2x-3)=6x+2
8x-12=6x+2
+6x +6x
14x-12 =2
+12 +12
14x=14
x=1 and don't worry we all make mistakes
⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ a(1)=20 a(n)=a(n−1)−17 third term
The third term of the arithmetic sequence will be negative 14.
What is an arithmetic sequence?A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.
Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The first term is 20 and the common difference is calculated as,
aₙ = aₙ₋₁ - 17
aₙ - aₙ₋₁ = - 17
d = - 17
Then the third term is calculated as,
a₃ = 20 + (3 - 1) (-17)
a₃ = 20 + 2 (-17)
a₃ = 20 - 34
a₃ = - 14
The third term of the arithmetic sequence will be negative 14.
More about the arithmetic sequence link is given below.
https://brainly.com/question/12373434
#SPJ1
what can you say about the series ∑an in each of the following cases
a) lim |(an+1)/(an)∑|=1
n→[infinity] b) lim nth root(|(an)|=2/3
n→[infinity]
c) lim |(an+1)/(an)|=0.8
n→[infinity]
d) lim |(an+1)/(an)|=3/2
n→[infinity]
e) lim |(an+1)/(an)|=3
n→[infinity]
f) lim nth root(|(an)|=1/2
n→[infinity]
In each of the cases, the series ∑an is convergent. This means that the limit of the sequence of partial sums of the series is finite.
In case a, since the limit of the ratio of consecutive terms is 1, the series is convergent and its sum is equal to the limit of the sequence of partial sums of the series.In case b, since the limit of the nth root of the absolute value of the terms is 2/3, the series is convergent and its sum is equal to the limit of the sequence of partial sums.In case c, since the limit of the ratio of consecutive terms is 0.8, the series is convergent and its sum is equal to the limit of the sequence of partial sums.In case d, since the limit of the ratio of consecutive terms is 3/2, the series is convergent and its sum is equal to the limit of the sequence of partial sums.In case e, since the limit of the ratio of consecutive terms is 3, the series is convergent and its sum is equal to the limit of the sequence of partial sums.In case f, since the limit of the nth root of the absolute value of consecutive terms is 3/2, the series is convergent and its sum is equal to the limit.Learn more about Convergent here:
https://brainly.com/question/21089324
#SPJ4
Solve these for points I got a one in algebra so this would be helpful to my grade
The solution for each system of equations is given as follows:
1) x = -4, y = -8.
2) x = 5, y = -1.
3) x = -7, y = 2.
4) No solution.
5) x = 2, y = -6.
6) x = -3, y = 4.
How to solve the system of equations?The system of equations are solved using the elimination method, writing one variable as a function of another, replacing in the other equation, and then obtaining each variable.
For item 1, we eliminate x, as follows:
x = 12 + 2y.
Hence the solution for y is obtained as follows:
5(12 + 2y) + 3y = -44
60 + 10y + 3y = -44
13y = -104
y = -104/13
y = -8.
Then the solution for x is given as follows:
x = 12 + 2y = 12 + 2(-8) = -4.
For item 2, we have that:
y = 19 - 4x.
Hence:
7x - 2(19 - 4x) = 37
7x - 38 + 8x = 37
15x = 75
x = 5.
Hence the solution for y is of:
y = 19 - 4(5) = -1.
For item 3, we can simplify the second equation by two, hence:
-x + y = 9.
y = 9 + x.
Hence:
3x + 8(9 + x) = -5
3x + 72 + 8x = -5
11x = -77
x = -7.
Hence the solution for y is of:
y = 9 - 7 = 2.
For item 4, we have that:
x = 7 + 3y.
Hence:
2(7 + 3y) - 6y = 12
14 + 6y - 6y = 12
0y = -2. (no solution, division by zero).
For item 5, we have that:
y = -2 - 2x.
Hence:
5x + 3(-2 - 2x) = -8
5x - 6 - 6x = -8
-x = -2
x = 2.
Hence the solution for y is of:
y = -2 - 2(2)
y = -6.
For item 6, we simplify the second equation by two, hence:
2x + y = -2
y = -2 - 2x.
Replacing on the first equation, we have that:
2x + 5(-2 - 2x) = 14.
2x - 10 - 10x = 14
-8x = 24
8x = -24
x = -3.
Hence the solution for y is obtained as follows:
y = -2 - 2(-3)
y = -2 + 6
y = 4.
More can be learned about a system of equations at https://brainly.com/question/24342899
#SPJ1
Given:
sin (C) 4/9
Find tan (C)
[tex]sin(C)=\cfrac{\stackrel{opposite}{4}}{\underset{hypotenuse}{9}}\qquad \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{9^2 - 4^2}=a\implies \sqrt{65}=a \\\\[-0.35em] ~\dotfill[/tex]
[tex]tan(C)=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{\sqrt{65}}}\implies tan(C)=\cfrac{4}{\sqrt{65}}\cdot \cfrac{\sqrt{65}}{\sqrt{65}}\implies tan(C)=\cfrac{4\sqrt{65}}{65}[/tex]
Is 10 12 15 a right triangle?
No, 10, 12, and 15 are not the lengths of the sides of a right triangle.
A right triangle is a triangle with one 90 degree angle. The other two angles must be acute angles (less than 90 degrees).
The Pythagorean Theorem is a formula used to determine if three given side lengths can form a right triangle. The Pythagorean Theorem states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the longest side, also known as the hypotenuse.
In this case, the side lengths of the triangle are 10, 12, and 15. Therefore, the Pythagorean Theorem can be written as:
10^2 + 12^2 = 15^2
100 + 144 = 225
244 ≠ 225
Therefore, 10, 12, and 15 are not the side lengths of a right triangle.
Learn more about right triangle here:
https://brainly.com/question/29285631
#SPJ4
The sales tax in one town is 8%.So, the total cost of an item can be written as c=0.08cents .what is the total cost of an that sells for $12 ?its due tmrr asap
Answer: 12.96
Step-by-step explanation: you should multiply 12 * 0.08 = 0.96
then just add 0.96 + 12 = 12.96
What are the domain and range of the logarithmic function?
The domain of a logarithm function is (0, ∞). The range of the logarithm function is all real numbers.
What is a function?
A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
The given function is f(x) = log x.
When the value of x is less than or equal to 0, then the value of log x is undefined.
The possible value of x where f(x) exists is the domain of a function.
In the given function the value of x must be greater than zero.
The domain of the function is (0,∞).
log (0.1) = -1
log (0.023) = -1.638
The value of log x can be any real number.
The possible value of the logarithm function is any real number. Thus the range of the function is (-∞, ∞).
To learn more about domain and range, click on the below link:
https://brainly.com/question/16444481
#SPJ4
For a loan of. 8,75,000 how much interet will be charged by the bank for 2
month if the rate i 4. 75% per year?
Total interest charged by bank in 2 months is 6793.83.
What is compound interest ?Compound interest is the interest paid on both principal and interest, compounded at regular intervals. At regular intervals, the interest so far accumulated is clubbed with the existing principal amount and then the interest is calculated for the new principal. The new principal is equal to the sum of the Initial principal, and the interest accumulated so far.
The interest that is obtained through the reinvestment of money is known as compound interest. The original principal investment grows substantially more quickly (sometimes referred to as exponentially) when interest is reinvested and allowed to compound over time.
Total loan amount = 875000
total time = 2 months
Rate = 4.75%
Total interest = 875000(1 + [tex]\frac{4.75}{100}[/tex])[tex]\)^{\frac{1}{6} }[/tex] - 875000 = 6793.83
To learn more about Compound Interest refer to :
https://brainly.com/question/29706641
#SPJ4
A heavy rainstorm damages this year's crop of peanuts. The price of peanut butter increases. What will happen to the demand of jelly?
Answer the 3 questions below related to this scenario.
Complete sentences are not required. Please number each answer.
1. Will there be an increase or decrease?
2. Which way will the graph shift?
3. What is the determinant?
On solving the provided question, we got to know that - to plot the graph, required equation is 3x +y -8 = 0
What is an expression?a collection of numbers, symbols, and operators (like + and ) that represent a value. Examples - 2 + 3 is a formula and there is also the statement 3 x/2. The equals symbol does not appear in expressions. Actually, none of these = ≠ < > ≤ ≥
We frequently have to understand a written phrase in order to write an expression. For instance, the notation x + 6 can be used to represent the phrase "6 added to some number," where x stands for the unknown value. To plot the graph,we need to find the equation first.
and to find the equation -
(y - y1) = m( x - x1)
y1 = -4
x1 = -2
y = 3
x = -5)
equation -
(-3)(x-1) = y-5
-3x + 3 = y-5
3x - 3 = 5-y
3x +y -8 = 0
To know more about expression visit:
brainly.com/question/14083225
#SPJ1
Solve 3x^2 - 6x - 9?
Answer:
3(x+1)(x-3)
Step-by-step explanation:
Well, this isn't an equation, but we can factor it like this:
[tex]3x^2-6x-9=3(x^2-2x-3)=3(x+1)(x-3)[/tex]
The table shows data for 4 cyclists during one day of training.
Complete the table by finding the rate of speed for each cyclist. Use the formula r = d ÷ t.
Cyclist Distance (mi) Time (hr) Rate (mi per hr)
Alisha 40 4
Jose 30 2
Raul 40 4
Ruthie 80 5
Rate of speed of each cyclist is:
Alisha 10mi/hr
Jose 15mi/hr
Raul 10mi/hr
Ruthie 16mi/hr
Data given of each cyclist;
Formula used: [tex]r=\frac{d}{t}[/tex]
here,
r=rate of speed
d=distance
t=time
Alisha: Distance=40mi; Time=4hr
applying the formula
[tex]r=\frac{d}{t} \\r=\frac{40}{4} =10mi/hr[/tex]
Jose: Distance=30mi; Time=2hr
applying the formula
[tex]r=\frac{d}{t}\\ r=\frac{30}{2} =15mi/hr[/tex]
Raul: Distance=40mi; Time=4hr
applying the formula
[tex]r=\frac{d}{t} \\r=\frac{40}{4}=10mi/hr[/tex]
Ruthie: Distance=80mi; Time=5hr
applying the formula
[tex]r=\frac{d}{t} \\r=\frac{80}{5} =16mi/hr[/tex]
Alisha= 10mi/hr
Jose= 15mi/hr
Raul= 10mi/hr
Ruthie= 16mi/hr
Learn more about speed-time relation:
https://brainly.com/question/26862717
#SPJ4
PLEASE HELP!!! (WORTH 50 POINTS!!!)
4y + 3x = -6
y-x=-5
how can you eliminate the x terms in this system
Answer:
you can eliminate the x terms in this system by multiplying each side by 3.
Step-by-step explanation:
in order to eliminate a variable from a system of equations, you must multiply whatever variable you want to eliminate (in this case, x) by a number that will make the variable you want to eliminate in the first (4y+3x=-6) and second (which is y-x= -5) equations cancel out when adding them together
a written example for further clarification:
step 1:
4y + 3x = -6
3*(y - x = -5)
up here, you can see i'm multiplying the bottom equation by 3 in order to change the value of x from x to -3x, so that when you add the top and the bottom equations together, x is nowhere to be found in the resulting equation (this is what you want)
step 2:
distribute the 3 to all terms in the second equation. this gives you:
(3y-3x = -15).
step 3:
now add this new equation to the first equation (4y+3x=-6).
This gives you:
4y+3x=-6
+
3y-3x=-15
then just add the like terms (4y and 3y, 3x and -3x, -6 and -15).
which gives you (7y=-21)
see how x is not in the resulting equation? you have now successfully eliminated it :] hope this helped!
Maisie walked for 4 hours at an average speed of
1.6 miles per hour (mph).
How many miles did Maisie walk?
If your answer is a decimal, give it to 1 d.p.
Answer: Maisie walked 6.4 miles.
Step-by-step explanation:
Since Maisie is walking at a constant pace of 1.6 miles per hour we can set up the following equation:
y = 1.6(x)
In this equation, Y is the number of miles Maisie walked in total and X is the number of hours she walked. All we have to do is plug in 4 hours as x and solve.
y = 1.6(4)
y = 6.4 miles.
It take Thorton 4 hour to edit a video for hi chool. If he ha already pent 2. 5 hour on thi video, what percent of the video i edited?
Using the concept of fraction, the percentage edited on the video is 62.5 percent.
What is Percentage
Percentage is a standard mathematical concept used to express a portion of a whole number in terms of a hundred. It is denoted by the symbol “%” and is often expressed as a fraction or a decimal. For example, 25% can be expressed as 0.25 or 1/4.
In this problem, Thorton has done a 2.5 hours work. The percentage he has edited can be calculated using fraction or ratio as;
percentage edited = (2.5 / 4) × 100
Percentage = 0.625 × 100
Percentage = 62.5 %
From the above, Thorton has edited 62,5 percent of the video for his school project.
Learn more on percentage here;
brainly.com/question/843074
#SPJ4
Please help me !!
this the last question !!
Answer:
2 ≥ p
Step-by-step explanation:
-14 ≤ -7p
Divided both sides by -7. Because divided by a negative number, the < will turn to >
So, the equation is
2 ≥ p
Because there is an equal, the circle will be close and to the left of 2.
Answer:
2 ≥ p
Step-by-step explanation:
Have a great day :) <3
ind the Average Rate of Change of the table below for the interval 0 < x < 4
The average rate of change is equivalent to 2.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Given is the table as shown below -
[x] : 0 1 2 3 4
[y] : -2 -3 1 3 6
The rate of change in the interval 0 < x < 4 is -
AROC = (6 + 2)/(4 - 0)
AROC = 8/4
AROC = 2
Therefore, the average rate of change is equivalent to 2.
To solve more questions on expressions, visit the link below -
brainly.com/question/1041084
#SPJ1
What is the solution of the pair of equations y 0 and y =- 3?
The solution of the pair of equations y = 0 and y = -3 is y = -3/2.
The given pair of equations is:
y = 0
y = -3
We can solve this pair of equations using elimination. To do this, we first add the two equations together, which gives us:
y + y = 0 + (-3)
2y = -3
We then divide both sides by 2 to get the solution for y:
2y/2 = -3/2
y = -3/2
Therefore, the solution of the pair of equations y = 0 and y = -3 is y = -3/2.
Learn more about pair of equations here:
https://brainly.com/question/8307359
#SPJ4
What is the product of and 3 /- 4?
Using multiplication we know that the product of 3 * - 4 is -12.
What is multiplication?One of the four fundamental arithmetic operations, along with addition, subtraction, and division, is multiplication.
A product is the output of a multiplication operation.
The addition method, lengthy multiplication, grid method, and drawing lines are four different ways to multiply.
So, we have:
3 * -4
Here, we know that 3 is a positive number and -4 is a negative number.
And so the product will be a negative number.
Now, calculate the product as follows:
3 * -4
-12
Therefore, using multiplication we know that the product of 3 * - 4 is -12.
Know more about multiplication here:
https://brainly.com/question/10873737
#SPJ4
The probability that a student chosen at random from a class has ginger hair is 5/14.
The probability that they have blonde hair is 9/28.
What is the probability that a student chosen from the class at random has either ginger or blonde hair?
Give your answer as a fraction in its simplest form.
Answer: The probability of a random student to have either ginger or blonde hair is 19/28.
Step-by-step explanation: Before anything is done, let's look and see what information the problem gives us and what we need to find out. We know that there's a 5/14 chance for a student to be ginger, and a 9/28 chance for them to be blonde. We need to find out the combined chance, as we want to know what the chances are for a student to have either hair color.
In order to do this, all we need to find is the sum of both fractions. Because the fractions have different denominators, we need to change one of them to match the other. 14 multiplied by 2 is equal to 28.
If we multiply both the numerator and denominator of 5/14 by 2, we get 10/28. Now, all we have to do is add that to 9/28. When we do that, we get 19/28.
19/28 cannot be simplified, so it is our final answer. Hope this helps!
Z= [?]° i dont know how to type out the question
Answer: first u have to find the perimiter for each side
Step-by-step explanation:
the answer is 100 d z