Answer:
Undefined
Step-by-step explanation:
The equation for slope is:
\(Slope = \frac{y_2-y_1}{x_2-x_1}\)
Let's plug the given points into the equation:
\(Slope = \frac{-6-5}{4-4}=\frac{-11}{0}\)
Since the change in x is 0, the slope is undefined
Electricity bills: According to a government energy agency, the mean monthly household electricity bill in the United States in was . Assume the amounts are normally distributed with standard deviation . Use the TI-84 Plus calculator to answer the following. (a) Find the th percentile of the bill amounts. (b) Find the rd percentile of the bill amounts. (c) Find the median of the bill amounts. Round the answers to at least two decimal places
The 9th percentile of the bill amounts is 81.0634.
How to calculate the percentile?
Population mean, µ = 110.56
Population standard deviation, σ = 22
a) p = 0.09
Z score at p = 0.09 using excel = NORM.S.INV(0.09) = -1.3408
Value of X = µ + z*σ = 110.56 + (-1.3408)*22 = 81.0634
9th percentile = 81.0634
b) p = 0.66
Z score at p = 0.66 using excel = NORM.S.INV(0.66) = 0.4125
Value of X = µ + z*σ = 110.56 + (0.4125)*22 = 119.6342
66th percentile = 119.6342
c) Median = 0.50
Z score at p = 0.5 using excel = NORM.S.INV(0.5) = 0
Value of X = µ + z*σ = 110.56 + (0)*22 = 110.56
Median = 110.56
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find the values of x such that the given vectors are orthogonal: xi+2xj, xi - 5j
The two x-values that the supplied vectors are orthogonal to are 0 and 10 respectively.
What are vectors?
A quantity or phenomenon with independent qualities for both magnitude and direction is called a vector.
The term can also refer to a quantity's mathematical or geometrical representation.
Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.
A movement from one point to another is described by a vector. A vector quantity has a magnitude and a direction (size).
There is just magnitude for scalar quantities.
An arrow-labeled line segment can serve as a visual representation of a vector.
So, we have:
xi+2xj and xi - 5j
As is common knowledge, when two vectors are orthogonal, their dot product equals zero, which means:
(xi + 2xj)*(xi-5j) = 0
x*x+2x*-5 = 0
x²-10x = 0
x(x-10) = 0
x = 0 or x - 10 = 0
x = 0 or x = 10
Therefore, the two x-values that the supplied vectors are orthogonal to are 0 and 10 respectively.
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John and Mary had Php 384 altogether. After John gave Php 36 to Mary, Mary had 3 times as much money as John. How much money did Mary had at first?
John initially had Php 132 and Mary initially had Php 252 (384 - 132).
Let's start by setting up the equations to solve for this problem.
Let x be the amount of money John had initially.
Then, Mary had (384 - x) initially.
After John gave Php 36 to Mary, John had (x - 36) left and Mary had (384 - x + 36) = (420 - x).
We are told that Mary had three times as much money as John after this transaction, so we can write:
3(x - 36) = 420 - x
Simplifying this equation gives:
3x - 108 = 420 - x
4x = 528
x = 132
Therefore, John initially had Php 132 and Mary initially had Php 252 (384 - 132).
Answer: Mary had Php 252 at first.
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3(x-3) = 20 what is x
Answer:
x ≈ 9.7
how mny decimal places do u need?
Step-by-step explanation:
3( x-3 )= 20
>3x - 9 = 20
>3x = 29
> x= 9.66666667
How many lines of symmetry does this triangle have
Answer:
Option A:1 line of symmetry
A dolphin swims 665,280 feet in 3 hours. Use the formula d = rt, where d represents distance, r represents rate, and t represents time, to answer the following questions. Show your work.
Part A: Rearrange the distance formula, d = rt, to solve for rate. (2 points)
Part B: Find the dolphin's rate in feet per hour. (3 points)
Part C: Find the dolphin's rate in miles per hour. (3 points)
Part D: Which unit, feet, or miles, makes more sense to use in this scenario, and why? (2 points)
Answer:
Here we need to use the relation:
Distance = rate×time
Where "rate" is the speed at which the dolphin moves.
To answer different questions.
A) Dividing both sides by "time" we can rearrange the above relation to get:
rate = distance/time
B) We know that the dolphin swims 665,280 feet in 3 hours, then:
distance = 665,280 feet
time = 3 hours
Then the rate is
C) Now we want to rewrite the equation in miles per hour.
To do it, we need to use the relation:
1 mi = 5280 ft
Then we can rewrite the rate as:
That one is the rate in miles per hour.
D) Which one makes more sense to use?
The second one is a way simpler number (to read and to use in other equations) so we should use the rate in miles per hour.
Hope this helps:)
Brainly plz.
What is the median of following scores 3 5 4 9 8?
The median for the next batch of observations is 5.
What is median?The median is the value in the middle of a data set, which indicates that 50% of the data points have a value less than or equal to the median, and 50% have a value greater than or equal to the median. The median is the number in the middle of a set of numbers. The median represents the 50th percentile of the set of numbers. In other words, the median is the value in the center of a set of numbers where half are less than the median and half are more than the median.
Here,
given set of observation,
=3,4,5,8,9
n=5
median=(5+1)/2
=3rd term
=5
The median for following set of observation is 5.
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A color printer prints 14 pages in 6 minutes.
How many minutes does it take per page?
Answer:
2.67 minutes per page
Step-by-step
this question was already on brainly ,,,,,,,,,,,,,,,,,,,,,,,
Answer:
2.33
Step-by-step explanation:
All you have to do is divide 14 and 6 and you will get 2.33
6 > 3p + 9
could u also show work
Answer:-1>p
Step-by-step explanation:
6>3p+9
-9 -9
-3>3p
Divide by 3 on each side
-1>p
Answer:
p < -1
Step-by-step explanation:
Original equation:
6 > 3p + 9
Subtract 9 from both sides
The equation should look like this now:
-3 > 3p
Divide both sides by 3 (to separate the 3 from the p)
-1 > p
p < -1
Hope this helps :)
If you get both of these your HIM
Answer:question 6: 48
question 7: 24 and 1/2
Step-by-step explanation:3*4=12 3*3=9 12+9+12+15=48
3.5*2*3.5=24.5 or 24 and 1/2
Given rectangle MNOP below, NQ = 65. If MO = -6x+10, solve for x.
Answer:
x= -9.17
Step-by-step explanation:
To solve for x, we can use the information provided about the rectangle to set up an equation. Since opposite sides of a rectangle are congruent (have the same length), we know that MO = NP.
Therefore, we can set up the equation:
-6x + 10 = 65
To solve for x, we can subtract 10 from both sides:
-6x = 55
And then divide both sides by -6:
x = -9.17
process 1 process 2 process 3 total process totals ($100s) 137 108 107 352 sample size 10 10 10 30 sum of squares 1,893 1,188 1,175 4,256 in an anova table, what are the degrees of freedom for the treatment source of variation?
The degrees of freedom for the error source of variation is: df = 30 - 3 = 27 To calculate the degrees of freedom for the treatment source of variation in an ANOVA table, we need to use the formula:
df (degrees of freedom) = number of groups - 1
In this case, the number of groups is equal to the number of processes, which is 3. Therefore, the degrees of freedom for the treatment source of variation is:
df = 3 - 1 = 2
This means that we have 2 degrees of freedom for the variation among the three processes. These degrees of freedom will be used to calculate the F-statistic, which is a measure of the variability between the means of the different groups (in this case, the processes).
It's worth noting that the other source of variation in an ANOVA table is the error or residual variation, which represents the variation within the groups or samples. The degrees of freedom for this source of variation are calculated using the formula:
df = total sample size - number of groups
In this case, the total sample size is 30 (the sum of the sample sizes for each process), and the number of groups is 3. Therefore, the degrees of freedom for the error source of variation is:
df = 30 - 3 = 27
This means that we have 27 degrees of freedom for the variation within the samples.
Overall, the ANOVA table provides information about how much of the variation in the data can be explained by the treatment (process) and how much is due to random error. By comparing the F-statistic to a critical value based on the degrees of freedom and a chosen significance level, we can determine whether there is a significant difference between the means of the different processes.
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Write a linear function f with the values f(0)=−3 and f(7)=11
A function is f(x)=
Answer:
f(x) = 2x - 3
Step-by-step explanation:
x y
0 -3
7 11
when x = 0, y = -3. When x increases by 7, y increases by 14, or when x increases by 1, y increases by 2.
What is the value of the expression if x = –10 and y = –2?
Answer:
i think B is the answer
Step-by-step explanation:
need brainliest
Which expression illustrates the commutative property applied to the product?
(−8/9)⋅(−13)⋅(18)
A. (−8/9)⋅(18)⋅(−13)
B. (−8/9)⋅(−13)⋅(18)
C. (−8/9)⋅[(−13)⋅(18)]
D. [(−8/9)⋅(−13)]⋅(18)
Please show your work for points
Answer:
try your best
Step-by-step explanation:
When cooper was 15 years old, he scored an 85 on an iq test. he took the test again when he was 35 years old and scored an 85 again. this indicates that the iq test is highly: __________
Answer:
When cooper was 15 years old, he scored an 85 on an iq test. he took the test again when he was 35 years old and scored an 85 again. this indicates that the iq test is highly: __________
Reliable
Because his scores were so close together the test would be considered as Reliable.
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Solve the differential equations 2xy(dy/dx)=1 y^2. y(2)=3
The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).
To solve the given differential equation
2xy(dy/dx) = y²
We will use separation of variables and integrate to find the solution.
Start with the given equation
2xy(dy/dx) = y²
Divide both sides by y²:
(2x/y) dy = dx
Integrate both sides:
∫(2x/y) dy = ∫dx
Integrating the left side requires a substitution. Let u = y², then du = 2y dy:
∫(2x/u) du = ∫dx
2∫(x/u) du = ∫dx
2 ln|u| = x + C
Replacing u with y²:
2 ln|y²| = x + C
Using the properties of logarithms:
ln|y⁴| = x + C
Exponentiating both sides:
|y⁴| = \(e^{x + C}\)
Since the absolute value is taken, we can remove it and incorporate the constant of integration
y⁴ = \(e^{x + C}\)
Simplifying, let A = \(e^C:\)
y^4 = A * eˣ
Taking the fourth root of both sides:
y = (A * eˣ\()^{1/4}\)
Now we can incorporate the initial condition y(2) = 3
3 = (A * e²\()^{1/4}\)
Cubing both sides:
27 = A * e²
Solving for A:
A = 27 / e²
Finally, substituting A back into the solution
y = ((27 / e²) * eˣ\()^{1/4}\)
Simplifying further
y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)
Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is
y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)
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10/n = 2/1.7 what is n
Answer:
n = 8.5
Step-by-step explanation:
\(\frac{10}{n}\) = \(\frac{2}{1.7}\) ( cross- multiply )
2n = 10 × 1.7 = 17 ( divide both sides by 2 )
n = 8.5
x/7 ≥ − 6=============
The range of value of x in the inequality x/7 ≥ -6 is x≥ -42
What is inequality?Inequality, is a statement of an order relationship. Some terms used in inequality are ,greater than, greater than or equal to, less than, or less than or equal to. They are used between two numbers or algebraic expressions.
greater than has the sign >
greater than or equal to has the sign ≥
less than has the sign < and
less than or equal to has ≤
solving the range of value of x in the inequality x/7 ≥- 6
multiply both sides by 7
x ≥ -42
Therefore the range of value of x is x ≥ -42
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Write an equation of the line that is parallel to the given line and passes through the given point.
9. y= -2x+6 (0,-4)
10. -2x+3y=12 (3,2)
pls help me!!!!!
Answer:
9.) y=-2x-4
10.)y=2/3x
Step-by-step explanation:
Parallel lines have the same slope, different intercepts
9.) The slope is -2x
To find the parallel line
y-(-4)=-2(x-0)
y+4=-2x
y-4=-2x-4
y=-2x-4
10.) You must first put the equation in slope-intercept form.
-2x+2x+3y=2x+12
3y=2x+12
Divide by 3
3y/3=2x/3+12/3
Simplify
y=2/3x+4
Slope = 2/3x
y-2=2/3(x-3)
y-2=2/3x-6/3
y-2=2/3x-2
y-2+2=2/3x-2+2
y=2/3x
What is the value of x in the triangle?
30°
х
8
60°
The value of x in the triangle is,
⇒ x = 4
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Triangle is shown in image,
Now, By definition of triangle trigonometry;
⇒ sin 30° = Opposite / Hypotenuse
⇒ sin 30° = x / 8
⇒ 1/2 = x / 8
⇒ x = 8/2
⇒ x = 4
Thus, The value of x in the triangle is,
⇒ x = 4
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Don Luis, el carpintero, desea construir un mueble para estantería, el cual es in- dispensable que tenga dos áreas cuadradas, donde el cuadrado mayor mida por lado, una unidad menor que el doble del largo del cuadrado menor. El área total del mueble será de 121 pies cuadrados.
Answer:
El área de un cuadrado de lado L es:
A = L*L
Y sabemos que si el cuadrado menor tiene lado de largo L, entonces el cuadrado mayor tiene lado de largo 2*L - 1ft
Área menor = L*L = L^2
Área mayor = (2L - 1ft)*(2L - 1ft)
El área total es igual a la suma de ambas áreas:
121 ft^2 = L^2 + (2L - 1ft)*(2L - 1ft) = L^2 + 4*L^2 - 2ft*L + 1ft^2
Ahora podemos resolver esto para L.
121 ft^2 = 5*L^2 - 2ft*L + 1ft^2
0 = 5*L^2 - 2ft*L - 120 ft^2.
Usando la formula de Bhaskara, las soluciones son:
\(L = \frac{2ft +- \sqrt{(2ft)^2 - 4*5*(-120ft^2)} }{2*5} = \frac{2ft +- 49ft}{10}\)
Las dos soluciones son:
L = (2ft + 49ft)/10 = 51ft/10 = 5.1ft
L = (2ft - 49ft)/10 = -4.7 ft
Como estamos hablando de el largo de algo, la única opción que tiene sentido es la positiva.
Entonces el largo de los lados del cuadrado menor es L = 5.1 ft
El largo de los lados del cuadrado mayor es M = 2*5.1ft - 1ft = 9.2ft
Permutation v combination
The process of ordering objects or numbers is known as permutation. Combinations are a method of choosing items or numbers from a collection or group of items so that the order of the items is irrelevant.
How to explain permutations and combination?Combinations are used to group objects or to determine how many subgroups can be formed from the given collection of objects. Additionally, we use permutations to determine the amount of potential combinations of unrelated objects.
Fir example, if we want to select 2 players from 6. This will be:
= 6! / 2! (6 - 2)!
= 15 ways
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What is the sum of the 2nd square number and the 3rd cube number?
Answer:
31
Step-by-step explanation:
Its easy, all you have to do is 2^2 + 3^3 = 31
Answer:
2²+3³= 4+27=31
Step-by-step explanation:
hope it helps you
(1, 1) and (4, 3) slope
Answer:
\( \huge \boxed{ \boxed{ \frac{2}{3} }}\)
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\\)
From the question we have
\(m = \frac{3 - 1}{4 - 1} = \frac{2}{3} \\ \)
We have the final answer as
\( \frac{2}{3} \\ \)
Hope this helps you
Micah invested $3450 in an account paying simple interest. At the end of 6 years, the value of
his account was $3967.50. What was the interest rate?
1.5%
2.0%
2.5%
15%
2b/3-5=3 what is the value of b
Answer:
‒3
Step-by-step explanation:
2b/3‒5=3
2b=3(3‒5)
2b=3(‒2)
2b=‒6
2b/2=‒6/2
b=‒3
you can proof as the following(by replace ‒3)
2(‒3)/3‒5=3
‒6/‒2=3
3=3
i hope it helps you
Hillary, Ashley, Will, and Carlton were planning a surprise anniversary party for Viv and Phillip. The trip was going to cost the kids a total of $8000. Hillary was willing to pay for 30% of the trip. Carlton was willing to pay for ¼ of what Will paid. Will was going to pay for 2/5 of the trip, and Ashley was going to pay for the rest of the trip. a) Create an equation that could be used to determine how much each person paid for the trip. b) Determine how much each person paid for the trip.
Answer:
Hillary 2400
carlton 800
will 3200
ashley 1600
Step-by-step explanation:
hillary 30% of 8000 ---- 8000:100×30=2400
will 2/5 of 8000 8000:5×2=3200
carlton 1/4 of will's---- 3200:4=800
ashley: rest, which is 8000-(2400+3200+800)=8000-6400=1600
in general, the strictest standards with the lowest acceptable levels are the
Answer:
Step-by-step explanation:
are the what???