Answer:
{4, 4, 8, 13, 16}
Step-by-step explanation:
If we have a set of N numbers in order:
{x₁, x₂, ..., xₙ}
The median is the middle number of the set.
The mode is the value that is repeated more times in the set
The mean is computed as:
[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
And the range is the difference between the largest value and the smallest value.
Here we want 5 positive integers, so we have something like:
{x₁, x₂, x₃, x₄, x₅}
We know that the median is 8.
Then the middle value, x₃, is equal to 8.
We also know that the mode is 4, then we can have the number 4 repeated two times, and because 4 is smaller than 8 and this must be in order, then we can have:
x₁ = x₂ = 4
Replacing these in the set we have:
{4, 4, 8, x₄, x₅}
Now we know that the range is 12, and this was the difference between the largest and smallest value.
We know that the smallest value is 4, and the largest value is x₅, then we will have:
x₅ - 4 = 12
x₅ = 12 + 4 = 16
Then our set is:
{4, 4, 8, x₄, 16}
Finally, we know that the mean is 9.
Remember that the equation for the mean is:
[tex]M = \frac{4 + 4 + 8 + x_4 + 16}{5}[/tex]
Then we need to solve:
[tex]9 = \frac{4 + 4 + 8 + x_4 + 16}{5}[/tex]
[tex]9*5 = 4 + 4 + 8 + x_4 + 16}[/tex]
[tex]45 = 32 + x_4[/tex]
[tex]45 - 32 = x_4 = 13[/tex]
Then the set of five positive integers is:
{4, 4, 8, 13, 16}
factorise and solving
Answer:
a. (x+2)(x+3)
b. x = -2
x = -3
Step-by-step explanation:
a.
split 5x into 2x + 3x
then, you get
x² + 2x + 3x + 6
Split into (x² + 2x) + (3x + 6)
factorize individual groups
x (x + 2) + 3 (x + 2)
combine x + 3
your final answer is
(x + 2) (x + 3)
b.
if (x + 2) (x + 3) = 0
then (x+2) = 0 and (x+3) = 0
x + 2 = 0
x = -2
x + 3 = 0
x = -3
Answer:
A)(x+2)(x+3)
B)(x + 2) (x + 3) = 0
x + 2 = 0
x = -2
x + 3 = 0
x = -3
Step-by-step explanation:
Can anyone help? with these probelms.
Denise Irwin drove her vehicle 10,500 miles. Fixed costs totaled $2,452. Variable costs totaled $893. a. What was the total annual cost? (2 points) b. What was the cost per mile? (4 points)
Lease an SUV for 48 payments of $294. Deposit of $1,189. Title fee of $90. A license fee of $125. What is the total lease cost?
Answer:
Denise = total cost $3,345.00 per mile cost is 0.3185 or 32 cents per mile
Total Lease cost = $15,516
Step-by-step explanation:
6. The price of a necklace is four times that of a
bracelet. Let the price of the bracelet be $x.
(i) Express the price of the necklace in terms of x.
Answer:
The necklace is 4x.
Step-by-step explanation:
If the bracelet is x and the necklace is 4 times greater you would multiply the cost of the bracelet by 4. Meaning it would be X *4= 4x (x multiplied 4 times.)
A bacteria population is tripling every hour. By what factor does the population change in 1/2 hour? Select all that apply.
Answer:
B but there might be more, look below. I didn't have time to calculate the other answers.
Step-by-step explanation:
Well, it is growing x3 each hour, so each half hour it's 1.5...
So whichever is equal to 1.5 is the answer, like B. There might be more.
Find the Volume (Round to the nearest hundredth)
13.3 mm
16 mm
20.5 mm
Answer:
Step-by-step explanation:
third side of triangle=√(20.5²-13.3²)
=√(420.25-176.89)
=√243.36
=15.6
area of side triangle=1/2×15.6×13.3
=7.8×13.3
=103.74 mm²
volume=103.74×15.6
=1618.344
≈1618.34 mm³
ANSWER ME QUICK IS Y=4/5(16)^X AN EXPONENTIAL GROWTH OR AN EXPONENTIAL DECAY?
Answer:
decay
Step-by-step explanation:
I'LL GIVE BRAINLIST!!! SHOW PROCESS
Answer:
45 degree . my step-by-step solution is in this picture
Mary, Anna, Alice, and Kate are at the food court and find a deal on packs
of 6 pretzels. They want to buy the minimum number of packs so that each
of them gets the same number of pretzels and no pretzels are left over.
How many packs of 6 pretzels should they buy?*
O 2
04
6
O 10
O 12
Testing y’all’s knowledge from middle school
Answer:
2
Step-by-step explanation:
4 people and 6 pretzels.
If you buy 2 packs you get 12 pretzels and each person gets 3
Mischief Campbell math class lasts 45 minutes. Math class starts at 9:05. what time does math class end?
Answer:
The correct answer is 9:50.
Step-by-step explanation:
9:05+0:45=9:50
A study investigated the effectiveness of meditation training in reducing trait anxiety. The study evaluated subjects trait anxiety levels before and after the study subjects participated in an 8 week training course in meditation. The difference in the pre-training and post-training trait anxiety levels were calculated for each participant. For the 27 people in the study, the mean reduction in anxiety was 4.9, and the standard deviation of the reductions was 6.9.
Required:
Find a 99% confidence interval for the population mean.
Answer:
The 99% confidence interval for the population mean reduction in anxiety was (1.2, 8.6).
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 27 - 1 = 26
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.7787.
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.7787\frac{6.9}{\sqrt{27}} = 3.7[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 4.9 - 3.7 = 1.2.
The upper end of the interval is the sample mean added to M. So it is 4.9 + 3.7 = 8.6.
The 99% confidence interval for the population mean reduction in anxiety was (1.2, 8.6).
Help me I need help plsss
Answer:
B and F
Step-by-step explanation:
Given
Functions A and B
Required
Select the true statements
First, determine the equation of A
We have:
[tex](x_1, y_1) = (1,2)[/tex]
[tex](x_2, y_2) = (3,10)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{10 - 2}{3 - 1}[/tex]
[tex]m = \frac{8}{2}[/tex]
[tex]m =4[/tex]
So, the equation is:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 4(x - 1) + 2[/tex]
[tex]y = 4x - 4 + 2[/tex]
[tex]y = 4x -2[/tex]
So, we have:
[tex]y = 4x -2[/tex] ------ A
[tex]y = 3x + 4[/tex] ---- B
The y intercept is when [tex]x = 0[/tex]
So, we have:
[tex]y = 4 * 0 - 2 = -2[/tex] ---- y intercept of A
[tex]y = 3 * 0 + 4 = 4[/tex] ---- y intercept of B
By comparison:
[tex]-2 < 4[/tex]
Hence: (b) is correct
The rate of change of a function [tex]y = mx + b[/tex] is m
So:
The rate of change of A is:
[tex]m_A=4[/tex]
and for B is:
[tex]m_B=3[/tex]
By comparison:
[tex]4 > 3[/tex]
Hence: (F) is correct
Geometry work HELP ASAP trying to find the measure of a circumference!!
Answer:
65 degrees
Step-by-step explanation:
Since it is given that AB=DC
then we know that AO=DO and BO=CO because it is the radius of a same circle.
Hence the shapes are equal and thus DOC=65 degree as it serves as a corresponding angle to AOB
Suppose a triangle has sides 1,
and 1. Which of the following must be true?
A. The triangle in question is a right triangle.
B. The triangle in question may or may not be a right triangle.
C. The triangle in question S not a right triangle.
SUBMIT
9514 1404 393
Answer:
B. The triangle in question may or may not be a right triangle
Step-by-step explanation:
The length of the third side of the triangle may have any measure between 0 and 2. The triangle will only be a right triangle if the third side has length √2.
The triangle may or may not be a right triangle.
an outdoor pavilion has 30 rows with 20 seats in the first row each row thereafter has 6 more seats using a formula find the total of seats at the pavilion?
Answer:
Lets take a shot at this....
774
Step-by-step explanation:
We know we have 30 rows in the pavillion. We know we have 20 seats in the first row, and that we add 6 seats to every subsequent row.
Now if we have 30 x 20, then that is the starting numer of seats at 600 and we add 6 seats to each of the remaining 29 rows so we could multiply 29 times 6 for a total of 174 and add that to the original for a total of 774.
However I have a sneaking suspicion I have over simplified by adding jut 6 seats to each row rather than a progressive number where there are 6 added to the second row and then 12 to the thitrd ro and so on and so on. I am not certain how to calculte that progression into this equation but I suspect it relies upon an exponent for that calculation so I am off to see if I can find it....
more to follow....
What is the correct answer?
This graph shows the cost of a small cheese pizza at 3 different restaurants. a) explain how the size of the bars gives a false impression about the cost of the pizza at different restaurants.
I would answer, but I don’t see the graph. If you add the graph I could help (if you want of course, not trying to be rude. Sorry!)
if f(x) = x^2 + 3x, and g(x) = 2x^2, what is g(f(-1))?
Answer: g
(
x
2
−
3
x
)
=
2
x
2
−
6
x
+
2
Step-by-step explanation:
is 3a + 3B equivalent to 3 (a + 2B)
true or false
Hi there!
»»————- ★ ————-««
I believe your answer is:
The expressions given are not equivalent.
»»————- ★ ————-««
Here’s why:
We can check if the expressions are equivalent by simplifying one of them.⸻⸻⸻⸻
[tex]\boxed{3(a+2B)}\\\\---------\\\rightarrow3*a = 3a\\\\\rightarrow3 * 2B = 6B\\\\\text{Therefore:}\\\\3(a+2B)=\boxed{3a+6B}\\\\\text{and}\\\\\boxed{3(a+2B)\neq 3a+3B}[/tex]
⸻⸻⸻⸻
You can also say that they are not equivalent because it was not completely distributed.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
False
[tex]3(a + b) ≠ 3a+6b[/tex]
Step-by-step explanation:
[tex]3a + 3b \\ 3(a) + 3(b) \\ 3(a + b)[/tex]
[tex]3(a + 2b) \\ 3a+3(2b) \\ 3a+6b[/tex]
Hope it is helpful....Construct an equation that has y = 8 as its solution. Use y on both sides of the equation.
Answer:
3y + 4 = 20 + y
Step-by-step explanation:
The equation that has y = 8 as its solution will be 3y + 4 = 20 + y.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
Given that Construct an equation that has y = 8 as its solution. The equation of the line will be:-
3y + 4 = 20 + y.
When we solve the equation we will get the value of y equal to 8.
3y + 4 = 20 + y.
3y - y = 20 - 4
2y = 16
y = 16 / 2
y = 8
Therefore, the equation that has y = 8 as its solution will be 3y + 4 = 20 + y.
To know more about an equation of the line follow
brainly.com/question/18831322
#SPJ2
I added a picture of the question.
Answer:
C) 2*18, 3*12, 4*9, 6*6
Step-by-step explanation:
When these number sets are multiplied, all of them equal 36, therefore C is your answer.
Hope this helped! :)
the area of a 20 cm wide rectangle is 500 cm cm2 what is the length?
Given = b = 20cm, A = 500cm2 l=?
A = l×b,
500= l×20
l= 25
THE LENGTH IS 25 CM
Answer:
25 cm
Step-by-step explanation:
area of a rectangle = length × breadth
500 = length × 20
500/ 20 = length
25 = length
therfore, the length of the rectangle is 25 cm
Evaluate the inverse trigonometric function Sin^-1(-1). Give answers in both radians and degrees.
A) Sin^-1(-1) = -pi or -180°
B) Sin^-1(-1) = 3pi/2 or 270°
C) Sin^-1(-1) = pi or 180°
D) Sin^-1(-1) = -pi/2 or -90°
Answer:
B) Sin^-1(-1) = 3pi/2 or 270°
D) Sin^-1(-1) = -pi/2 or -90°
Step-by-step explanation:
Sine function:
The sine function is -1 at 270º(-90º), which is 3pi/2 = -pi/2.
Inverse sine:
The input of the inverse sine function is a value, and the output are the angles which have the sine equal to the input.
Sin^-1(-1)
Angles for which the sine are -1, that is 3pi/2 or 270° and -pi/2 or -90°. Thus, options B and D are correct.
x < -5
f(x) =
(x + 6)2 +3 for
0
for
- 2x - 8
for
x = -5
X > -5
Find f(-7)
HELP PLSSSSS!!!!! I WILL Give Brainlyist
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Answer:
[tex] \frac{5}{6} [/tex]Step-by-step explanation:
[tex] \frac{1}{6} + \frac{2}{3} [/tex][tex] \frac{1}{6} + \frac{2}{3} \times \frac{2}{2} [/tex][tex] \frac{1}{6} + \frac{2 \times 2}{3 \times 2} [/tex][tex] \frac{1}{6} + \frac{2 \times 2}{6} [/tex][tex] \frac{1 }{6} + \frac{4}{6} [/tex][tex] \frac{1 + 4}{6} [/tex][tex] \frac{5}{6} [/tex]Hope it is helpful...determine the quadrant of -210
9514 1404 393
Answer:
-210° is a 2nd quadrant angle
-210 radians is a 3rd quadrant angle
-21° is a 4th quadrant angle
Step-by-step explanation:
If we assume you want the quadrant of the terminal ray of a standard-position angle whose measure is -210 degrees, then we can find the equivalent positive angle by adding 360°. The result is the coterminal angle of 150°. That lies between 90° and 180°, so is in the 2nd quadrant.
__
The number given in this problem statement has no units attached. A "unitless" angle measure is a measure in radians. To normalize this angle of -210 radians, we can 68π radians to give a coterminal angle of about 3.628300 radians, or 207.9°. This angle lies between 180° and 270°, so is a 3rd quadrant angle.
__
If the number given here is intended to be -21°, then it is measured 21° clockwise from the +x axis. That puts it in the 4th quadrant.
_____
Additional comment
We understand that sometimes the degree symbol does not get properly rendered when questions are copied to Brainly. We have seen it disappear (which we initially assumed was the case here), and we have seen it rendered as a zero (considered as an afterthought here). We also want to emphasize the fact that angles cannot be assumed to be in degrees, and that an angle in radians is equivalent to a pure number--one with no units at all. Hopefully we've covered enough bases that you can find the answer you want among those offered.
5. Mr. Q's class is having a give-
away where his students can
receive 100 classroom credits.
He will pull names out of a hat
and select two winners. Once a
student wins, they are not
eligible to win a second time. If
there are 40 total people in the
class, including you and your
best friend.
What is the probability that both you and your best friend get the 100 classroom
credits? (Show work please)
Answer:
The probability that both me and my best friend get the 100 classroom credits is 0.06%.
Step-by-step explanation:
Since Mr. Q's class is having a give-away where his students can receive 100 classroom credits, and he will pull names out of a hat and select two winners, and once a student wins, they are not eligible to win a second time, if there are 40 total people in the class, including me and my best friend, to determine what is the probability that both me and my best friend get the 100 classroom credits, the following calculation must be performed:
I = 1/40 = 0.025
my best friend = 1/39 = 0.02564
0.02564 x 0.025 = X
0.0006410 = X
X x 100 = 0.064
Therefore, the probability that both me and my best friend get the 100 classroom credits is 0.06%.
Alicia borrowed $15,000 to buy a car. She borrowed the money at 8% for 6 years
Answer:
She have to pay the bank at the end of the 6 years = 222000$
Step-by-step explanation:
Formula applied in this case where price, interest rate and time duration is mentioned.
Interest = prt/100
Substituting all the given values in the formula.
interest = 15000 * 6 * 8/100
150 * 6 * 8 = 7200
Interest + 15000 = 15000 + 7200 = 222000$ has to pay the total.
In this question amount is 15000 multiply by 6 and by 8 then divide it by 100 so we get the interest then we add it in to amount so we get an answer that is total amount which he has to pay. Hope this helps! :P PLZ GIVE ME BRAINLIST
Dan built a cubed shaped toy box of wood for his daughter. Each side of the toy box measures 2feet. How much wood did Dan use to build the toy box?
Answer:
12 feet is what i believe is the answer
Step-by-step explanation:
Brainleist :)
Which measurement is equivalent to 300 millimeters ?
Answer:
11.811 inches?
7620 millimeters?
If X=2 y=3 Find the value of X2+y2
Answer:
Step-by-step explanation:
x^2+y^2
=2^2+3^2
=4+9
=13
if the question is x*2 + y*2
=2*2 + 3*2
=4 + 6
=10
Answer:
answer might be 10
Step-by-step explanation:
(2)2+(3)2
2×2+3×2
4+6
10
hope it helps