The simplified answer to the equation is [tex]y=-\frac{1}{3}x+4[/tex]
First, subtract [tex]\frac{1}{3}x[/tex] on both sides.
[tex]y=-\frac{1}{3}x+4[/tex]
You have isolated [tex]y[/tex] by itself, and the equation can't be simplified further, so [tex]y=-\frac{1}{3}x+4[/tex] is your answer.
According to a company's website, the top 15% of the candidates who take the entrance test will be called for an interview. You have just been called for an interview. The reported mean and standard deviation of the test scores are 70 and 7, respectively. If test scores are normally distributed, what is the minimum score required for an interview?
Answer:
The minimum score required for an interview is 77.252
Step-by-step explanation:
We solve this using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Top 15% of the candidates is a ranking that is equivalent to = 100 - 15% = 85th percentile.
The z score of 85th percentile = 1.036
Mean = 70
Standard Deviation = 7
Minimum score = raw score = ???
Hence:
1.036 = x - 70/7
Cross Multiply
1.036 × 7 = x - 70
7.252 = x - 70
x = 70 + 7.252
x = 77.252
The minimum score required for an interview is 77.252
A digital rain gauge has an outdoor sensor that collects rainfall and transmits data to an indoor display. Assume you produced a graph of all the data collected by the rain gauge over a 24-hour period. a. Would that graph be a discrete graph or a continuous graph? Explain your reasoning. b. b. Describe the general shape of the graph assuming it rained at a rate of 0.1 inch per hour for the entire 24-hour period. c. c. Describe the general shape of the graph assuming it rained 0.1 inch per hour for 6 hours, stopped raining for 6 hours, and then rained 0.2 inch for 12 hours.
Answer:
A digital rain gauge has an outdoor sensor that collects rainfall and transmits data to an indoor display. Assume you produced a graph of all the data collected by the rain gauge over a 24-hour period. a. Would that graph be a discrete graph or a continuous graph? Explain your reasoning. b. b. Describe the general shape of the graph assuming it rained at a rate of 0.1 inch per hour for the entire 24-hour period. c. c. Describe the general shape of the graph assuming it rained 0.1 inch per hour for 6 hours, stopped raining for 6 hours, and then rained 0.2 inch for 12 hours.
14. Craig jogs 12 km in 1 h. If he jogs at the
same rate, how long will it take him to jog
18 km?
Answer: 1:30 (one hour and thirty minutes)
Step-by-step explanation:
If he jogs 12 km in an hour, and he wants to jog 18 km, you divide 12 km from when he jogged for and hour by 2 and get 6. Add 12 km to 6 km, and get 18 km in one hour and thirty minutes. So, basically 6 km every 30 minutes.
Answer:
1.5 hours
Step-by-step explanation:
12/1 = 18/x
X = 18/12 = 1.5 hours
If a student is on the basketball team, then he has practice after school. If there is practice after school, then the student needs to find a ride home other than the bus. Jamal is on the basketball team.
A. Jamal does not have practice after school.
B. Jamal needs to find a ride home other than the bus.
C. Jamal can ride the bus home.
D. no conclusion
Answer:
B. Jamal needs to find a ride home other than the bus.
Step-by-step explanation:
This conclusion can be made from the prompt.
Hope this helps!
Factor out the greatest common factor. 21x2 - 6x 21x2 - 6x =
Answer:
21x²-6x=x(21x-6)...
at a restaurant jars of tomato sauce are stored in boxes in the pantry . each box contains 8 jars of tomato sauce . A cook uses 2 jars from 1 of the boxes .
Which function shows the relationship between y , the total number of jars of tomato sauce remaining in the pantry , and x , the number of boxes in the pantry?
Answer: y=8x-2
Step-by-step explanation
Because 8 jars per box would be 8x (x for how many boxes) and subtract 2 so it would be y=8x-2
Answer:
Step-by-step explanation:
y=8x-2
Rodrigo can carpet a house in twelve hours, working by himself. DaShawn can carpet the same house in ten hours . Working together, how long would it take Rodrigo and DaShawn to carpet the house
Answer:
I would say 2 hours but im not sure tbh.
Step-by-step explanation:
400+90+7,000+ blank =7,495
Answer:
The answer is for this question is 5.
Priya has completed 12 exam questions. This is 60% of the questions on the exam. How many questions were in the exam
Answer:
there are 20 questions on the exam
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST FOR RIGHT ANSWER!!
Answer:
Population 2 pattern is that every year the population goes down by 2
Step-by-stepation:
What is the inverse of multiplication?
Answer:
i would say division
Step-by-step explanation:
Answer:
Division
Step-by-step explanation:
When we multiply a number is by its (multiplicative) inverse, the result is always 1. Which means, when we add any number to zero, both the operation and inverse operation will give the same number.
A bee travels at 24 km/h. At that rate, how many miles can it travel in a day?
Geometry
Please help
Solve for h(x)=x(x+3)(x-2)
Answer:
Your answer is:
If you are solving to find x then your answer would have been: x = 0 , -3 , 2
If you are solving to find the x and y intercepts your answer is: ↓
x-intercept(s): (0,0) (-3,0) (2,0)
y-intercept(s): (0,0)
If you are solving to find roots your answer is: x = 0 , -3 , 2
If you want the graph look below ↓
Step-by-step explanation:
Hope this helped : )
how to get 20 dollars by using 25 cents?
please work it out on paper
Answer:
below if you cant read it, it takes 80 quarters
Step-by-step explanation:
in a class of 36,19 read bioogy,16 read chemistry and 5 were not allowed to read both subjects
Answer:
not hjyftyi uit yfiu hyr k
Step-by-step explanation:
sorry just i need some points
its urgent
How many significant digits should the product of 11,435 meters and 19.35 meters have?
Answer:
It has 8 significant figures
Step-by-step explanation:
Product of 11,435 meters and 19.35 meters
Product means multiplication(×)
= 11,435 × 19.35
= 221,267.25
Product of 11,435 meters and 19.35 meters = 221,267.25
It has 8 significant figures
Significant figures are non-zero digits or trapped zeros
[tex]m6 + 64n6[/tex]
factor: 3x^2 + 2x - 21
Answer: (3−7)(+3)
Step-by-step explanation:
How do you make a fraction like this: 72 3/16 into a whole number?
What you do is you take the denominator and you divide it into the numerator.
Miguel completed the division problem below. What is Miguel's error? 754 divided by 0.52. 52 StartLongDivisionSymbol 7540 EndLongDivisionSymbol minus 52 = 234. 234 minus 208 = 260. 260 minus 260 = a remainder of 0 and a quotient of 145. He included a 5 in the quotient, which does not belong. He multiplied the divisor by 10 and the dividend by 100. He subtracted 208 from 234 incorrectly. He multiplied the divisor by 100 and the dividend by 10.
Answer:
He multiplied the divisor by 100 and the dividend by 10.
Step-by-step explanation:
Given that
Divisor = 0.52
And, the dividend is 754
It can be written as
Divisor is 52 i.e. (0.52 × 100)
And, the dividend is 7540 i.e. (754 × 10)
Now if we multiplied by 100 and divide by 10 so it gives the same result
Therefore the last option is correct and the same is to be considered
And all the other options are wrong
Answer:
D He multiplied the divisor by 100 and the dividend by 10
Step-by-step explanation:
Hope this helps:)
Find the length of AB if AC = 18 and BC = 7.
Identify the domain and range of the function below.
Domain
Range
Answer:sry
Step-by-step explanation:
If the area of a square poster is 625 square inches. Josh needs to it to fit into a frame that has dimensions of 12 inches. How many inches does he need to cut off each dimension?
Answer:
13 inches
Step-by-step explanation:
To solve this problem we need to figure out the length of each side. Caculate the length of the square poster by finding out the square root. 25 times 25= 625. We know that th dimentions of the poster is 25. 25-12= 13
Emily Wilson was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 854 points. The number of two-point field goals that Emily made was 73 less than double the number of three-point field goals she made. The number of free throws (each worth one point) she made was 34 less than the number of two-point field goals she made. Find how many free throws, two-point field goals, and three-point field goals Emily Wilson made during the 2006 regular season.
made
Answer:
Free throw: 139
2 pointers: 173
3 pts: 123
Step-by-step explanation:
Set x equal to the number of 3pts scored.
Then get 2x-73 from the given number of 2pts relative to 3pts.
Then get 2x-107 from the given number of free throws.
Set up an equation in reference to the number of 3pts and multiply by pts for each type to get:
3x+2(2x-73)+1(2x-107)=854
where 3x is pts from 3pts
2(2x-73) is pts from 2pts
1(2x-107) is pts from free throws.
Simplify to get:
9x-253=854
Solve:
9x=1107
x=123.
Then plug in the number of 3pts scored into the other numbers.
1 less than the quotient of a number n and 6
Answer:
[tex]\frac{n}{6}[/tex] - 1
Step-by-step explanation:
whenever the word than is there (less than, greater than) you have to switch the order so it the words 1 was first or in the beginning of the sentence but since the words less than are there, 1 goes toward the end or after the quotient of a number n and 6.
The distance from Mason's house to Kevin's house is about 5 × 105 inches. The distance from Mason's house to Chloe's house is about 8 × 107 inches. The distance from Mason's house to Chloe's house is how many times as great as the distance from Mason's to Kevin's house?
Answer:
Distance from Mason's house to Chloe's house is 160 as great as the distance from Mason's to Kevin's house.
Step-by-step explanation:
Let the distance from Mason's house to Chloe's house is x times as great as the distance from Mason's to Kevin's house.
Distance from Mason's house to Kevin's house= [tex]5 \times 10^5[/tex] inches.
Distance from Mason's house to Chloe's house =[tex]8 \times 10^7[/tex] inches
ATQ
[tex]8 \times 10^7= x \times 5 \times 10^5 \\\frac{8 \times 10^7}{5 \times 10^5}=x\\160=x[/tex]
So, distance from Mason's house to Chloe's house is 160 times as great as the distance from Mason's to Kevin's house.
Hence distance from Mason's house to Chloe's house is 160 as great as the distance from Mason's to Kevin's house.
21
2. The dust usually sticks ton TV iscréent because, dust
A. Falls on the TV screen
B. Particles are metallic conductors
c. is attracted by magnets in the TV screen
D. Is attracted
by
static
charges
on the TV screen.
Answer:
a
Step-by-step explanation:
falls on the TV screen
a line with a slope of 1 passes through the point (18,15). What is its equation in slope-intercept form?
Answer:
y=x-3
Step-by-step explanation:
Equation of the line
The equation of the line in slope-intercept form is:
y=mx+b
Being m the slope and b the y-intercept.
We already have the value of m=1, but need to find b. To do this, we use the given point (18,15) and substitute the coordinates into the equation:
y=mx+b
15=(1)(18)+b
We have used the value m=1. Operating:
15=18+b
Solving:
b=-3
Thus, the equation of the line in slope-intercept form is:
y=x-3
PLEASE ANSWER ASAP WILL MARK BRAINLEST
Paul and Dana both want to find the change from the 6 AM temperature to the new 12 PM temperature.
Paul says that you can use a number line and add the distance from 0 to the 6 AM temperature and from 0 to the new 12 PM temperature. Dana says that you can subtract -1.4 from the new 12 PM temperature.
Is either Paul or Dana correct> Explain your reasoning and find the change in temperature.
Answer:
Paul is correct
Step-by-step explanation:
You can add the distance of 0 to 6 AM and 0 to 12 PM, and doing so on a number line. On a number line you would add them and lets say 6 AM is 6 degrees and 12 PM is 12 degrees, you would add 6 and 12 to get 18. While doing so you would got 1 2 3 4 5 6 7 8 9 and so on. Thus, finding the difference.
I know I'm late but can I still get that brainliest