Answers
Answer:
equation: y = 4x-12
slope: 4
y-intercept: -12
Step-by-step explanation:
3 points across an x-axis is +1 x-axis difference and +4 y-axis away from origin, so you have to subtract 3 by 1 andsubtract y by 4. until x is 0, you get -12 on y-axis
Related Questions
Use the accompanying data set to complete the following actions.
a. Find the quartiles.
b. Find the interquartile range.
c. Identify any outliers.
55 56 61 58 63 58 65 59 64 58 54 63 63 57 75
Find the quartiles.
First Q1 is _
Second Q2 is _
Third Q3 is_
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Ordered data:
54, 55, 56, 57, 58, 58, 58, 59, 61, 63, 63, 63, 64, 65, 75
Sample size, n = 15
Q1 = 1/4(n+1)th term
Q1 = 16/4 = 4th term = 57
Q2 = 1/2(n+1) th term
Q2 = 16/2 = 8th term = 59
Q3 = 3/4(n+1)th term
Q3 = 3/4(16) = 12 th term = 63
Interquartile range = Q3 - Q1 = 63 - 57 = 6
Outlier :
LOWER = Q1 - (1.5 * IQR) = 57 - (1.5*6) = 48 ; values below 48
UPPER = Q3 + (1.5 * IQR) = 63 + (1.5*6) = 72 ;
Values above 72
Outlier = 75
A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 9 inches, a width of 3 inches, and a height of 3 1/2
inches. What is the surface area?
Answers
Answer:
[tex]Area = 138in^2[/tex]
Step-by-step explanation:
Given
[tex]L = 9; W =3; H =3\frac{1}{2}[/tex]
Required
The surface area
This is calculated as:
[tex]Area = 2(LW + LH + WH)[/tex]
So:
[tex]Area = 2(9*3 + 9*3\frac{1}{2} + 3*3\frac{1}{2})[/tex]
[tex]Area = 2(27 + 31\frac{1}{2} + 10\frac{1}{2})[/tex]
[tex]Area = 2*69[/tex]
[tex]Area = 138in^2[/tex]
Select Yes or No to state whether each data set is likely to be normally distributed
Answers
Answer:
No
Step-by-step explanation:
no more animals in zoo
no average of animals at San Diego zoo is high
no visitors are more than 2k
Answer:
Step-by-step explanation:
average age of an elephant at a zoo- YES
number of elephants at the San Diego Zoo- NO
number of daily visitors at the San Diego Zoo- YES
took the test :)
find the difference of the value of the two 6's in the number 6060 ?
Answers
Answer:
5940
Step-by-step explanation:
The first '6' represents '6000' and the second represents '60.'
Thus the difference of the values of the two '6s' is 6000 - 60 = 5940.
1. After you retire in 17 years your goal is to have $100,000 in your investment account that earns 8% compounded annually. How much money would you need to deposit now to reach this goal
Answers
9514 1404 393
Answer:
$27,026.90
Step-by-step explanation:
The future value formula can be solved to find the present value required.
FV = P(1 +r)^t . . . future value of P compounded at annual rate r for t years
$100,000 = P(1 +0.08)^17
P = $100,000/3.70002 . . . . divide by the coefficient of P
P = $27,026.90
You would need to deposit #27,026.90 now to reach this goal.
If a distribution for a quantitative variable is thought to be nearly symmetric with very little variation,and a box and whisker plot is created for this distribution,which of the following is true?
A) The box will be quite wide but the whisker will be very short.
B) The left and right-hand edges of the box will be approximately equal distance from the median.
C) The whiskers should be about half as long as the box is wide.
D) The upper whisker will be much longer than the lower whisker.
Answers
Answer:
B). The left and right-hand edges of the box will be approximately equal distances from the median.
Step-by-step explanation:
The 'symmetry' si described as a 'satisfying arrangement of a balanced distribution of the elements of the whole' while a 'symmetry group' is characterized as a group whose elements are all the transformations under which a given object remains invariant and whose group operation is function composition.
As per the given conditions, the second statement asserts a true claim regarding the keeping of edges of left, as well as, right-hand side's boxes at equal intervals from the median. This will help in making the arrangement fulfilling while keeping a little scope for the variation. Thus, option B is the correct answer.
2. A display window consists of a stacked pyramid of books for sale. The bottom row has 27 books. Each row has two fewer books than the row below it. The display has 13 rows (a) Write and use a function to determine how many books are in the top row. Show your work. (5 points ) (b) Use the appropriate formula to determine the number of books in the entire display. Show your work . (4 points )
Answers
Answer:
A) 1
Step-by-step explanation:
A) 27 ÷ 13 = 1
B) if you take away 2 from "27", "13" times you will get 1 as the final answer.
I hope this helps, if I'm wrong please do correct me.
When a coin is tossed it is either heads or tails. Suppose heads has a point value of 1 and tails a point value of -1. if the sum of the point value after 50 tosses is 14. How many of the tosses must have been heads?
Answers
Answer:
32
Step-by-step explanation:
Totally there are 50 tosses.
Let the number of tosses which resulted head be x.
Therefore the number of tosses which resulted tail is 50−x.
We get x×1+(50−x)×(−1)=14
x−(50−x)=14
x−50+x=14
x=32
the sum of four consecutive even integers is 256. what are the numbers?
no troll ones, please! those who do attempt to will get reported immediately !
Answers
Answer:
61 , 63 , 65 , 67
Step-by-step explanation:
Let the least even number be denoted by x. The sum of the four consecutive even numbers would be:
(x) + (x + 2) + (x + 4) (x + 6) = 256
First, simplify. Combine all like terms:
x + x + x + x + 2 + 4 + 6 = 256
4x + 12 = 256
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 12 from both sides of the equation:
4x + 12 (-12) = 256 (-12)
4x = 256 - 12
4x = 144
Next, divide 4 from both sides of the equation:
(4x)/4 = (144)/4
x = 144/4
x = 61
61 is your first number. Find the next 3 consecutive numbers:
x = 61
x + 2 = 63
x + 4 = 65
x + 6 = 67
Check:
61 + 63 + 65 + 67 = 256
256 = 256
~
The table below shows Michaels' income and expenditure for the month of
April 2021. Study the table and answer the questions that follow.
Income
Amount
Andont
R15 435.20
Funeral Plan
Salary
Expenses (Variable)
R 200
R2050
Rent
Petrol
Air Time
Food (Groceries)
Clothing
R 500
R 350
R 400
R 700
School Fees
Car Repayment
Car Insurance
Total Expenditures
R600
R4 500
R 317
A
Entertainment
R 900
R 300
Toiletries
B
Money Left Over
1.1.1 Determine the values of A and B.
Use the value of B to decide whether the family is using the money wisely (2)
Answers
Joseph needs to drive 42 miles. They were going to drive at a certain average speed, but if they drive 10 mph faster, the trip will take 6 minutes (1/10 of an hour) less time. How fast were they going to drive? Write out the equation(s)
Answers
Answer:
The speed is 60 mph.
Step-by-step explanation:
distance = 42 miles
Let he drove with speed v and time is t.
distance = speed x time
42 = v t ..... (1)
42 = (v + 10)(t - 1/10) ..... (2)
[tex]42 = 42 -\frac{v}{10}+ 10 t - 1\\\\t =\frac{10+v}{100}\\\\Put in (1)\\\\42 = \frac{v(10+v)}{100}\\\\v^2 + 10 v - 4200 = 0 \\\\v = \frac{-10\pm \sqrt{100+4\times 4200}}{2}\\\\v =\frac{- 10 \pm 130}{2}\\\\v =- 70 mph, 60mph[/tex]
So, the speed cannot be negative so the speed is 60 mph.
us matrix method to solve the
3y+2x=13
2y+3x=0
Answers
Answer:
13
Step-by-step explanation:
3y+2x=13
2y+3x=0
∴3y+2x+2y+3x=13+0
∴3y+2y+2x+3x=13
∴5y+5x=13
Hope this helps you mate!
Pls mark as Brainliest
Answer:
the above ans is true
Step-by-step explanation:
uu can do it
what is this equation, equivalent to c(x)=(x+6)^2+14
Answers
Work Shown:
c(x) = (x+6)^2+14
c(x) = (x+6)(x+6)+14
c(x) = x(x+6)+6(x+6)+14
c(x) = x^2+6x+6x+36+14
c(x) = x^2+12x+50
Identify the equation for the parabola with vertex (0, 0) and directrix x = 2.5.
Answers
Answer:
jk
Step-by-step explanation:
PLEASE HELP ITS TIMED!! Which function is represented by the graph?
A)f(x) = -|x - 3l+ 4
B)f(x) = -lx + 3l+ 4
C)f(x) = -lx - 4l+ 3
D) f(x) = -lx + 4l+ 3
Answers
Find st to the nearest tenth please helppppp
Answers
The answer of s is 79'
Good luck :)))
salma is 1.45 meters tall. at 3p.m she measures the length of a tree's shadow to 29.35 meters. she stands 24.3 meters away from the tree, so that the tip of her shadow meets the tip of the treels shadow. find the height of the tree to the nearest hundreth of a meter.
Answers
Answer:
23.67
Step-by-step explanation:
Answer:
kimjnuhbygvtcfrdxe
Step-by-step explanation:
What two solid figures have the same volume
Answers
{2x + y = -1}
{3x- 5y + -21}
Answers
Answer:
(-2, 3).
Step-by-step explanation:
2x + y = -1
3x- 5y = -21
Multiply the first equation by 5:
10x + 5y = -5 Adding this to the second equation:
13x = -26
x = -2.
Substituting this into equation 1:
2(-2) + y = -1
y = -1 + 4 = 3.
Checking this result in the second equation:
3(-2) - 5(3)
= -5 - 15 = -21
- Checks OK.
1 Joseph weighs 100 pounds and his sister weighs 100 pounds. How much do they weigh together? 15 a. 4 200 pounds 4 100 15 15 pounds b. d. 2 200 pounds 20 5 200 pounds 15 Please select the best answer from the choices provided O A OB Ос D
Answers
I don't get it please Help me
Answers
Step-by-step explanation:
A. 2(x+4)=2x+8
=G
B. 3(2x-1)=6x-3
=I
C. 4(x+2)=4x+8
=J
D. 2(x+3)=2x+6
=K
E. 3(4x+1)=12x+3
=H
A - G
B - I
C - J
D - K
E - H
HOPE IT HELP
Two buses leave towns 520 kilometers apart at the same time and travel toward each other. One bus travels 16 km/h slower than the other. If they meet in 2 hours, what is the rate of each bus?
Answers
Answer:
122 km/h
138 km/h
Step-by-step explanation:
distance = speed * time
One bus travels 16 km/h slower than the other
(s * 2) + (s - 16)2 = 520
2s + 2s - 32 = 520
4s = 552
s = 552/4
s = 138 km/h
s - 16 = 122 km/h
4. It was 68.7°F at midday, then it rose 9°F in the afternoon and dropped another 12.3°F by 7:00 p.m. What was the temperature at 7:00p.m.?
Answers
The temperature rose so you add the amount it rose to the starting temperature
68.7 + 9 = 77.7 degrees
It then dropped so mow you subtract t the amount it dropped:
77.7 - 12.3 = 65.4 degrees
The answer is 65.4 degrees
two factor of a number are 5 and 6 .what is the number
Answers
Answer:
30
Step-by-step explanation:
Have a nice day ;]
Answer:
The number is obviously 30 as the prime factors of 30 are 5 and 6 again 5 and 6 can also be factors of any multiples of 30 such as 60 180 900
Hope it helps
In 1993, the moose population in a park was measured to be 4100. By 1998, the population was measured again to be 3000. If the population continues to change linearly
Answers
there seems to be missing text
the mean of the numbers 5, 2x, 4 and 3 is 5 find the value of x
Answers
Answer:
X=4
Step-by-step explanation:
(5+4+3+2x)/4=5
(12+2x)/4=5
12+2x=20
2x=8
X=4
URGENT HELP! SOLVE FOR A
answer choices : 24.6
27.8
18.7
44.2
Answers
9514 1404 393
Answer:
(b) 27.8
Step-by-step explanation:
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(22°) = a/30
a = 30×cos(22°) ≈ 27.8
One difference between objects and data types is that it is usually not meaningful to compare the identities of separate instances of data types, but for objects it is valuable to compare separate object identities. Group of answer choices
Answers
Answer and explanation:
Question isn't complete but explanation is given below based on what you may be asking.
Answer and Explanation:
First, An object is a data type but is quite different from the usual or primitive data types such as string or integers. An object is based on object oriented programming(OOP) and is a sort of abstract data type which is usually defined by the programmer(some are inbuilt in the language). Objects are usually defined using classes and then become instances of those classes. Objects have identities(e.g- a dog has a name Zeus) and be compared to other objects of same class(other instances) while data types are not as well equipped to have identities, properties or methods that are user defined in order to make comparisons.
.A national survey of companies included a question that asked whether the company
had at least one bilingual telephone operator. The sample results of 90 companies follow (Y
denotes that the company does have at least one bilingual operator; N denotes that it does
not).
Use this information to estimate with 95% confidence the proportion of the population that does have at least one bilingual operator.
Answers
Answer:
The 95% confidence the proportion of the population that does have at least one bilingual operator is (0.2359, 0.4307).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
90 companies. 30 have at least one billingual operator.
This means that [tex]n = 90, \pi = \frac{30}{90} = 0.3333[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3333 - 1.96\sqrt{\frac{0.3333*0.6667}{90}} = 0.2359[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3333 + 1.96\sqrt{\frac{0.3333*0.6667}{90}} = 0.4307[/tex]
The 95% confidence the proportion of the population that does have at least one bilingual operator is (0.2359, 0.4307).
Write the decimal number that has the specified place values.
3 ones, 0 hundredths, 5 tens, 2 hundreds, 9 tenths
The number is
Answers
Answer:
253.90
Step-by-step explanation: