Answer:
-8 or 8
Step-by-step explanation:
We are given the absolute equation:
[tex]\displaystyle \large{4|x|=32}[/tex]
First, divide both sides by 4 which leaves [tex]\displaystyle \large{|x|=8}[/tex]
Absolute Value Definition
[tex]\displaystyle \large{|x|=\begin{cases} x \ \ \ (x\geq 0)\\ -x \ \ \ (x<0) \end{cases}}[/tex]
So from |x| = 8, break into two intervals/conditions.
(1) when x ≥ 0
x = 8
(2) when x < 0
-x = 8
x = -8
From (1) and (2), the solution to 4|x| = 32 is 8 or -8
En un barrio de 3.120 habitantes, se realizó una encuesta a 620 sobre la preferencia
por comer huevo al desayuno todos los días, contestando que, si le gusta 18 personas,
probablemente en el barrio, ¿cuántas personas prefieren lo mismo?
Es probable que el número de personas a las que si les gusta comer huevo al desayuno todos los días sea 90 personas.
Según principios estadísticos, es posible determinar una tendencia general utilizando una muestra de la población. En otras palabras, es posible tener una idea aproximada de las preferencias de una población si se logran determinar las preferencias de un pequeño grupo de dicha población.
En este caso sabemos que la población total equivale a 3120 habitantes, la muestra equivale a 620 personas y en la muestra 18 personas comen huevo al desayuno todos los días.
Usando una regla de tres podemos determinar la tendencia general:
Si a 18 personas de 620 les gusta comer huevo todos los días al desayuno, a cuántas personas de 3120 les gusta lo mismo.18 = 620x = 3120x = 18 x 3120 / 620x = 56160 / 620x= 90Es decir que aproximadamente 90 personas tienen esta misma preferencia.
Aprenda más de estadística en: https://brainly.com/question/10678542
If something cost $37.80, how many tens would you give?
Answer:
4 tens
Step-by-step explanation:
3 tens would get you $30, which is $7.80 short. If you give 4 tens you are giving $40 which is 2.20 more than $37.80, which is okay as you can probably get change and it is the least amount of tens you can give to cover the cost.
Round each amount to the nearest hundred to find an estimate of:
9635 – 4891
A. 4400
B. 4500
C. 4600
D. 4700
PLS ANSWER URGENT
1. Larry writes a list of numbers that has average 14, median 21 and mode 11
(a) Moe creates a list by adding 12 to each number in Larry’s list. What is the average, median and mode of Moe’s list?
(b) Curly creates a list by multiplying each number in Larry’s list by 2, what are the average, median and mode of Curly’s list?
Answer:
See step-by-step below!
Step-by-step explanation:
a) Moe's list:
Average=26
Median=33
Mode= 23
b) Curly's list
Average= 28
Median= 42
Mode= 22
six and seven on this wkst!!!!!
Answer:
6.) x=5/4
7.) x=-6
Also, since your worksheet in paratheses says it would help to graph number 7, I attached a graph for it. :)
Step-by-step explanation:
Just ask!
Hope this helps. :))
Sorry if I'm wrong.
~Happy Holidays!!~ o(*￣▽￣*)ブ
Please I really need help
15 POINTS..15 POINTS
ONLY ONE QUESTION
ANSWER IT WITH EXPLANATION
PLEASE I NEED IT NOW
NEW ANSWER
Lupita is correct because when there is a constant of proportiantilly the line will start at the origin and it will be straight all the way. No curves, bends, etc. Another way you can tell is because when the line gets to "2" it lines up with 300 when the line gets to "4" it lines up with 600. That shows that the line is equal all the way through.
thanks for brainly (:
glad I could help!
21.6% of all registered doctors were female, if there were 45,200 females registered doctors that year, what was the total number of registered doctors? Round your answer to the nearest whole number
Answer:
209259
Step-by-step explanation:
45200 / 21.6 = 209259.259259
209259.259259 rounded to nearest whole number = 209259
I don't know how to solve this please help.
Answer:
56 miles
Step-by-step explanation:
Let x is the total distance Sam will travel today
Sam has already biked 12 + x/4 miles
He needs to bike 3x/8 (x.3/8) + 9 miles
12 + x/4 + 3x/8 + 9 = x
21 + x/4 + 3x/8 = x
21 + 2x/8 + 3x/8 = x
21 + 5x/8 = x
21 = x - 5x/8
21 = 3x/8
21.8 = 3x
168 = 3x
x = 168/3
x = 56 (miles)
Answer:
Step-by-step explanation:
Help!!
What is the value of -2 xy if x = -1 and y = 6?
-12
12
8
26
Answer:
12
Step-by-step explanation:
-2xy
Let x = -1 and y =6
-2 ( -1) (6)
Multiply
2 (6)
12
what are all the roots of the function f(x)= x^3+3x^2-x-3
Answer:
\mathrm{Domain\:of\:}\:x^3+3x^2-x-3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}
Step-by-step explanation:
What is the reference angle and cosine of StartFraction 7 pi Over 6 EndFraction ?
Answer:
[tex]\frac{\pi}{6}[/tex] radians
[tex]cos(\frac{7\pi}{6})=-\frac{\sqrt{3}}{2}[/tex]
Step-by-step explanation:
A reference angle is an acute angle between the terminal arm/terminal side and the x-axis. In this case, the reference angle is [tex]\frac{7\pi}{6}-\pi=\frac{\pi}{6}[/tex].
As for [tex]cos(\frac{7\pi}{6})[/tex], we can identify the value of it using the unit circle as attached below. Recall that points on the unit circle are defined as [tex](cos(\theta),sin(\theta))[/tex], so [tex]cos(\frac{7\pi}{6})=-\frac{\sqrt{3}}{2}[/tex].
Andrew loses
31 pencils in
October
What is the
lose rate per
day?
Answer:
1
Step-by-step explanation:
there are 31 days in October so if he loses one each day he loses 31
Hehehehehsheh help pls need help asap
Answer:
c
Step-by-step explanation:
hope this helps
The graphs below have the same shape. What is the equation of the blue graph?
Answer:
B. G(x)=(x-2)^2 + 1
Step-by-step explanation:
the graph shifts two to the right x^2 turns into (x-2)^2
and the y value shifts from 0 to 1 (+1)
together, we get (x-2)^2 + 1
:)
please ignore the work below it!! i am pretty sure it’s wrong!!
18x-3y=9 Y=6x-3 what is the answer
Answer:
NP (Not possible)
Step-by-step explanation:
When you find 'X', by inserting '6x-3' into the 'Y', you get:
18x - 3(6x-3) = 9
distribute:
18x -18x + 9 = 9
Subtract 9 from 9 = 0
Add like numbers (the x's), and it equals 0
0=0
You can't find x, rendering the equation 'NP'
Hopefully this answer is right and an option :)
what is the slope of a line with points (0,3) and (5,18)
Answer:
bye
Step-by-step explanation:
i need help as u can tell all the erasing
Answer:
x=10
Step-by-step explanation:
We know that the values will be the same because of a geometry rule (i don't remember which one sorry) so we can rewrite the equation as
6x=5x+10 Then, subtract 5x from both sides
x=10
I'm assuming this is what the question is asking
Select True or False to correctly classify each inequality.
Inequality True False
2.6≤2.6 true or false
−6<−6true or false
3.1>−3.1 true or false
−5≥--5 true or false
[tex]2.6\le2.6[/tex] classifies as [tex]\text{true}[/tex]
[tex]-6<-6[/tex] classifies as [tex]\text{false}[/tex],
[tex]3.1>-3.1[/tex] classifies as [tex]\text{true}[/tex]
so [tex]-5\ge -5[/tex] classifies as [tex]\text{true}[/tex]
To classify the statements, we need to evaluate each of them:
[tex]\text{Evaluate }2.6\le2.6\\\implies (2.6<2.6)\text{ or }(2.6=2.6)\\\implies \text{false or true}\\\implies\text{true}[/tex]
so [tex]2.6\le2.6[/tex] classifies as [tex]\text{true}[/tex], since the statement also allows [tex]2.6[/tex] to be equal to itself.
[tex]\text{Evaluate }-6<-6\\\implies\text{false}[/tex]
so [tex]-6<-6[/tex] classifies as [tex]\text{false}[/tex], since [tex]-6[/tex] is equal to itself, not smaller.
[tex]\text{Evaluate }3.1>-3.1\\\implies \text{true}[/tex]
so [tex]3.1>-3.1[/tex] classifies as [tex]\text{true}[/tex], since [tex]x>-x[/tex], for all real numbers
[tex]\text{Evaluate }-5\ge-5\\\implies (-5>-5)\text{ or }(-5=-5)\\\implies \text{false or true}\\\implies\text{true}[/tex]
so [tex]-5\ge -5[/tex] classifies as [tex]\text{true}[/tex], since the statement also allows [tex]-5[/tex] to be equal to itself.
Learn more about inequalities here: https://brainly.com/question/24786628
Jason and Mateo went to eat at Sam's Sub Shop. They spent $12.25 for lunch plus 8% tax. If they split the bill evenly, what was the price that each person paid
Answer:
answer 26
ok now help me
5c−4c+c equavilent like terms
Answer:
yes they are like terms
Step-by-step explanation:
they are like terms as the variables are same 5c-4c+
Hello there!
Solve by Combining Like Terms:[tex]5c-4c+c[/tex][tex]5c-3c[/tex][tex]2c[/tex]Therefore, 2c is the answer.Hope it helps.
Good luck with your studies.
Answered by
~A lonely teen who helps people joyfully
Grace
What is the value of y? 2 R C A. 60° B. 120° C. 369 D. Cannot be determined
Answer:
60 degrees
Step-by-step explanation:
edge
i really need help with these two questions pleeeaassseeee
Answer:
10 is B
11 is D
Step-by-step explanation:
Find the residual values, and use the graphing calculator tool to make a residual plot. A 4-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries negative 2. 7, negative 0. 9, 1. 1, 3. 2, 5. 4. The third column is labeled predicted with entries negative 2. 84, negative 0. 81, 1. 22, 3. 25, 5. 28. The fourth column is labeled residual value with all entries blank. Does the residual plot show that the line of best fit is appropriate for the data? No, the points are in a curved pattern. No, the points are evenly distributed about the x-axis. Yes, the points are in a linear pattern. Yes, the points have no pattern.
The residual of a regression is the difference between the actual value and the predicted value
The true statement about the residual plot is (c) Yes, the points are in a linear pattern
The entries are given as:
x Given Predicted Residual
1 -2.7 -2.84
2 -0.9 -0.81
3 1.1 1.22
4 3.2 3.25
5 5.4 5.28
The residual of a line of best fit is calculated using:
[tex]Residual = Actual - Predicted[/tex]
Using the entry headings, the formula would be:
[tex]Residual = Given - Predicted[/tex]
So, the residuals of the 5 entries are:
[tex]Residual_1 = -2.7 - -2.84 =0.14[/tex]
[tex]Residual_2 = -0.9 - -0.81 =-0.09[/tex]
[tex]Residual_3 = 1.1 - 1.22 =-0.12[/tex]
[tex]Residual_4 = 3.2 - 3.25 =-0.05[/tex]
[tex]Residual_4 = 5.4 - 5.28 =0.12[/tex]
So, the entries become:
x Given Predicted Residual
1 -2.7 -2.84 0.14
2 -0.9 -0.81 -0.09
3 1.1 1.22 -0.12
4 3.2 3.25 -0.05
5 5.4 5.28 0.12
See attachment for the residual plot.
From the plot, we can see that the points are in a linear pattern.
Hence, the true statement about the residual plot is (c)
Read more about residuals at:
https://brainly.com/question/4333650
Using the picture below, which angle is alternate exterior to angle 2?
Answer:
alternate exterior means outside of the two parallel lines so your answer is 7 because alternate means other side of transversal
1
Find the indicated values for f(x) = -X.
-
a.
b.
f(0)
f(22)
f(-22)
C.
a.
f(0) =
=
Answer:
f(0) = 0
f(22) = 11
f(-22) = -11
Step-by-step explanation:
Substitute the values for x.
[tex]1.)~f(0)=1/2(0)=0\\\\2.)~f(22)=1/2(22)=11\\\\3.)~f(-22)=1/2(-22)=-11[/tex]
5x – 2y = 30
Complete the missing value in the solution to the equation. (8, ?)
Answer:
5
Step-by-step explanation:
Hope this helps
Answer:
(8,5)
Step-by-step explanation:
x=8
5*8-2y=30
40-2y=30 . subtract 40 from both sides
-2y=-10 . divide both sides by-2
y=5
please help Me make sure you put the correct answer
Answer:
26
Step-by-step explanation:
3*8=24+2=26
1. Construct the Isosceles triangle from given data below : Altitude = 55mm Perimeter = 135mm
Answer:
base: 22 37/54; sides: 56 17/108
Step-by-step explanation:
If we let x represent half the length of the base, and y represent the length of the side, then we have ...
2x +2y = 135 . . . . . perimeter relation
x^2 +55^2 = y^2 . . . . Pythagorean theorem relation
Solving for y and substituting into the second equation, we have ...
y = 135/2 -x
x^2 + 3025 = (67.5 -x)^2
3025 = -135x +4556.25 . . . . . . expand, subtract x^2
135x = 1531.25 . . . . . . . . . . add 135x -3025
x = 1531.25/135 = 11 37/108
The length of the base is double this value, 22 37/54.
The length of each side is 67.5 -11 37/108 = 56 17/108.
__
Check
The perimeter is the base plus two side lengths:
22 37/54 + 2(56 17/108) = (22 +112) +37/54 +17/54 = 134 +1 = 135.
Each figure shows a pair of similar triangles, one contained in the other.
For each pair, describe a point and a scale factor to use for a dilation
moving the larger triangle to the smaller one. Use a measurement tool
to find the scale factor.
Dilation involves enlarging or reducing the size of a shape.
The scale factor of dilation is 1/6
From the complete question, the side lengths of corresponding sides of both triangles are:
[tex]AC =18cm[/tex]
[tex]AC' =3cm[/tex]
This means that, the larger triangle is ABC, while the smaller triangle is AB'C'.
So, the scale factor of dilation from the larger triangle to the smaller triangle is:
[tex]k = \frac{AC'}{AC}[/tex]
This gives
[tex]k = \frac{3cm}{18cm}[/tex]
Remove the common units
[tex]k = \frac{3}{18}[/tex]
Reduce fraction
[tex]k = \frac 16[/tex]
Hence, the scale factor of dilation is 1/6
Read more about dilation at:
https://brainly.com/question/3457976