Required data:
_______________
| 60 | 105 | 80 | 125 |
| 140 | 95 | 65 | 170 |
----------------------------
Answer:
Mean absolute deviation = 30
Variability of the data about the mean value is 30
Step-by-step explanation:
Mean = Σx / n
n = sample size = 8
Mean = (60 + 105 + 80 + 125 + 140 + 95 + 65 + 170) = 840 / 8 = 105
Mean absolute deviation = Σ|x - mean| ÷ n
( |60-105| + |105-105| + |80-105| + |125 - 105| + |140-105| + |95-105| + |65-105| + |170-105|) / 8
(45 + 0 + 25 + 20 + 35 + 10 + 40 + 65) / 8
240 / 8
= 30
The variability of data about the central point or mean value is 30.
A pitcher contains 4.5 pints of iced tea. How many fluid ounces of iced tea are in the pitcher?
Solve:
3(4 - 2x) = -x +1
13
X =
5
O B. x = 11
O C. x= -1
x-5
D. X
Step-by-step explanation:
[tex]3(4 - 2x) = - x + 1 \\ 12 - 6x = - x + 1 \\ 12 - 1 =6x - x \\ 11 = 5x \\ \frac{11}{5} = x \\ 2 \frac{1}{5} = x \\ [/tex]
The solution of the equation is x = 11/5
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
The given equation is,
3 (4 - 2x) = -x + 1
We have to solve the equation.
Distributive property states that, for three numbers, a, b and c,
a(b + c) = ab + ac
So, 3 (4 - 2x) = (3 × 4) - (3 × 2x)
= 12 - 6x
Substituting,
3 (4 - 2x) = -x + 1
12 - 6x = -x + 1
-6x + x = 1 - 12
-5x = -11
x = 11/5
Hence the solution is x = 11/5.
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divide the given equation By 5 5x² - 4x- 3 = 0 .
Answer:
x^2 - 4/5x - 3/5 = 0
Step-by-step explanation:
5x^2/5 - 4x/5 - 3/5 = 0/5
x^2 - 4/5x - 3/5 = 0
[tex]\\ \sf\longmapsto \dfrac{5x^2-4x-3=0}{5}[/tex]
Divide each variable by 5[tex]\\ \sf\longmapsto \dfrac{5x^2}{5}-\dfrac{4x}{5}-\dfrac{3}{5}=\dfrac{0}{5}[/tex]
[tex]\\ \sf\longmapsto x^2-\dfrac{4}{5}x-\dfrac{3}{5}=0[/tex]
We are done!
Hi, I need help with this math question .
The image posted below
(6, 8). Substitute the numbers in for x and y and then solve the equation. The coordinates are (x, y).
Answer:
(6,8)
Step-by-step explanation:
[tex]\\ \sf\longmapsto y=\dfrac{1}{3}x+2[/tex]
Put the value[tex]\\ \sf\longmapsto 8=\dfrac{1}{3}(6)+2[/tex]
[tex]\\ \sf\longmapsto 8=2+2[/tex]
[tex]\\ \sf\longmapsto 8\neq 4[/tex]
Write the equation in slope intercept form. what are the slope and y-intercept? -3x - 10y = 7
Can someone please help me out
Answer:
U
Step-by-step explanation:
FINE ASHAlways include the steps and/or background required to get to the final answer. Let’s help other people understand and solve future problems on their own.
how can my questions be marked brainliest
Answer:
Step-by-step explanation:
If you want to give brainliest, you have to wait for two answers then pick the best answer to get brainliest by clicking the little crown icon on the bottom right.
If you want to get brainliest, try to give a really good answer to a question and if the person asking thinks you gave the best answer,you will receive brainliest.
Answer:
Questions are marked brainliest by whoever asked the question. That person chooses which answer they received is the most helpful/correct, and then awards that answer with the brainliest crown.
Step-by-step explanation:
So, I have a math problem, the problem is,16x^0+2x^2*y^-1,How do I solve if x = 2 and y = 4?
Answer:
Given x = 2 and y =4
so 16[tex]x^{0}[/tex]+2[tex]x^{2}[/tex][tex]y^{-1}[/tex]
= 16*[tex]2^{0}[/tex] + 2*[tex]2^{2}[/tex]*[tex]4^{-1}[/tex]
= 16 + (2*4)/4
=16 + 8/2
16 + 2
=18
Step-by-step explanation:
There are 454 grams in a line. There are 16 ounces in a pound.How many grams are in an ounce?
Answer:
28.375 (rounded to 29 grams)
Step-by-step explanation:
there are about 454 grams in a pound and 16 ounces in a pound, so to find the relationship we divide 454 by 16 to get 28.375 or about 29 grams
if 1 ft = 1.894 x 10 -4miles, convert 20.0 inches to miles
Answer:
3.1567 * 10^-4 miles
Step-by-step explanation:
1 ft = 1.894 * 10^-4 miles , so
1 inch = 1.894 * 10^-4 / 12 miles
= 0.15783 * 10^-4
= 1.5783* 10^-5 miles ( in scientific form).
Multiplying this by 20 we get
31.567 * 10^-5
= 3.1567 * 10^-4 miles.
Problem 2: A ball is dropped from rest from a height of 6 meters, Find the time it takes the ball
to fall. Find the velocity of the ball just before it hits the earth. Assume no air resistance and
that acceleration due to gravity (g) is 9.8 m/s/s.
Answer:
1.11 s , 10.88 m/s
Step-by-step explanation:
Initial velocity and air resistance = 0
Time to fall : s = 1/2 gt²
6 = 1/2 * 9.8 * t²
t² = 1.224
t = 1.11 s
final velocity = initial velocity + gt
= 0 + 9.8 * 1.11
= 10.88 m/s
A meteorologist says that there is a 50% greater chance of rain than no rain on Wednesday. What is the probability that it will rain on Wednesday?
Answer:
2/3
Step-by-step explanation:
The probability that it will rain on wednesday will be 0.75.
What is a expression? What is a mathematical equation? What is Probability?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The formula to calculate the probability of occurrence of an event 'A' can be written as -
P(A) = n(A)/n(S)
where -
n(A) = Number of outcomes favorable to event A.
n(S) = Total number of outcomes.
We have a meteorologist who says that there is a 50% greater chance of rain than no rain on Wednesday.
Assume that the probability that it will rain on wednesday be [x]. Now, we can write -
P[R] = P[N.R.] + 1/2
P[R] + P[R] = P[N.R.] + P[R] + 1/2
2 P[R] = 1 + 1/2
2 P[R] = 1.5
P[R] = 1.5/2
P[R] = 0.75
Therefore, the probability that it will rain on wednesday will be 0.75.
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solve the equation: -2(n+3)=13
Answer:
n is -9.5 ....hyuibgtyujhff
Linda is twice as old as Vera. Tanya is four less than four times the age of Linda. Their total age is two more than nine times the age of Vera. How old is Tanya, in years?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let the age of Vera be x,
Linda's age = 2x
Tanya's age = (4 × 2x) - 4 = 8x - 4
Total Age = 9x + 2
so, let's Solve for x :
[tex]x + 2x + 8x - 4 = 9x + 2[/tex][tex]11x - 4 = 9x + 2[/tex][tex]11x - 9x = 2 + 4[/tex][tex]2x = 6[/tex][tex]x = 3[/tex]Age of Tanya :
[tex]8x - 4[/tex][tex](8 \times 3) - 4[/tex][tex]24 - 4[/tex][tex]20[/tex]Tanya's age is 20 years.
what is 46+56+3+17+30+
Answer:
152
Step-by-step explanation:
46+56=102
102+3=105
105+17+130=152
Please help!! BRAINLIEST to correct answer!!
I NEED THIS ASAP,Which equation represents a line with a slope of 0 (zero) that goes through the point (-6, -1)?
A. y = -6
B. y = -1
C. x = -6
D. x = -1
Answer:
c/3 and if multiple c/3 and b/8
Step-by-step explanation:
ry+r= x - t solve for x
Answer:
Step-by-step explanation:
ry+r=x-t
ry+r+t=x
x=r(y+1)+t
-12+x=8 properties of equality
Answer:
x=20
Step-by-step explanation:
-12+x=8
Add 12 on both sides (-12 + 12 + x = 8 + 12)
which crosses out -12
and then you get x=20
Jake bought cupcakes for his sister's birthday party. 33 out of the 44 cupcakes had sprinkles on top. What percentage of the cupcakes had sprinkles?
Write your answer using a percent sign (%).
ill give brainlyist Write the equation of the line that passes through the points (-1,3)(−1,3) and (-6,-7)(−6,−7). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
negative slope intercept
Step-by-step explanation:
AHH HELPPPP !!!!
-In the following diagram, two parallel lines are cut by a transversal. The measure of which angle is equal to the measure of angle 1 ?
a - angle 2
b - angle 3
c - angle 4
d - angle 6
Answer:
angle 4
Step-by-step explanation:
1 and 4 are vertical angles
∠1 = ∠4
This according to the vertical angle theorem
Hope this helps!!
76.6, 25.5 and 10.87 estimated sum and actual sum?
estimated sum-114, actual sum-112.97
Step-by-step explanation:
76.6-77
25.5-26
10.87-11
77+26+11=114
76.6+25.5+10.87=112.97
What is the slope of the line that passes through (-12, -5) and (0, -8)?
Answer:
-1/4
Step-by-step explanation:
Use the slope formula
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{-8-(-5)}{0-(-12)}[/tex]
Which equals -1/4
Use the graph to estimate the value of y when x = 2.5
Answer:
y=7
y will equal to 7 when x is 2.5
A truss or staircase frame from the custom steel products cost $2.25 for each rod plus $50for shipping and handling
The equation that can be used to represent the cost paid for the staircase frame is 50 + 2.25x
Based on the information given, let the number of rods be represented by x.
Fixed cost = $50
Variable cost = $2.25 × x = 2.25x
Therefore, the equation to calculate the total cost will be:
= Fixed cost + Variable cost
= 50 + 2.25x
Therefore, the equation to represent the fact that the staircase frame cost $2.25 for each rod plus $50 for shipping and handling is 50 + 2.25x
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Write the equation of the line that passes through the points (0,0) and (7,8). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line
Answer:
PLS MARK BRAINLIEST
Step-by-step explanation:
m= y2 - y1/ x2 - x1( slope of a line)
m = 8 -0 / 7- 0
8/7 = m
m = 1.1
since m =y - y1/ x - x1
1.1 = y - 0/ x-0
1.1 = y/x(cross multiply)
y = 1.1 x
y -1.1 x = 0
or
y - 8/7 x = 0
This graph shows a reciprocal parent function.
Which statement best describes the function
A. The function is always increasing
B. The function is increasing when x<0
C. The function is never increasing
D. The function is increasing when x>0
Answer:
C. The function is never increasingStep-by-step explanation:
According to the graph, the line goes down in both sections as the value of x increases. It means the function is always decreasing.
Correct answer choice is:
C. The function is never increasingThe best describes the function is,
''The function is never increasing.''
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
This graph shows a reciprocal parent function.
Since, We have;
According to the graph, the line goes down in both sections as the value of x increases.
It means the function is always decreasing.
Hence, Correct answer choice is:
C. The function is never increasing.
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Answer this for likes and a crown
Answer:
The unit cost is 25 cents for 1 oz of cereal, because 4/16 = 1/4, convert to cents.
Hope this helps and have a nice day:)
Step-by-step explanation:
Answer:
Your answer should be the 3rd one.
Step-by-step explanation:
What is 4^3 written in expanded form?
Answer:
64
Step-by-step explanation:
4^3, means 4*4*4, and it is very simple to calculate when you break it down to 4*4= 16 and then 16*4=64. So your final answer is 64.