Applying the formula, it is found that the SP for both numbers is of 7.
The first step is finding the mean for both sets, hence:
[tex]M_x = \frac{4 + 0 + 1 + 3}{4} = 2[/tex]
[tex]M_y = \frac{5 + 2 + 1 + 4}{4} = 3[/tex]
Then, the SP(sum of products of deviations) is the sum of the multiplications between each value x and the mean, with each respective value of y(same index) and the mean, hence:
[tex]SP = (4 - 2)(5 - 3) + (0 - 2)(2 - 3) + (1 - 2)(1 - 3) + (3 - 2)(3 - 4) = 7[/tex]
The SP for both numbers is of 7.
A similar problem is given at https://brainly.com/question/20640860
The chief engineer is in charge of deciding the mountainous road-network that will be kept open (cleared of debris and maintained regularly) during the winter months. Each road connects different small towns in the mountains, and all towns are connected to each other either directly or indirectly. Each road is associated with a value indicating the level of danger in maintaining that road during winter months. There are many subsets of roads such that the roads in such subsets keep the towns connected directly or indirectly. Each subset is assigned a cost of maintenance, which is directly proportional to the highest danger level of the road present in that subset. The engineer wants to select the smallest subset that keeps the towns connected directly or indirectly and that also has the lowest cost of maintenance. Develop an algorithm to find such a subset. Justify the correctness of your algorithm and derive its runtime.
Answer:
I dont know the answer to it
What is y, picture below
Answer:
100 Degrees is the value of y.
Step-by-step explanation:
ALL triangles add up to 180 degrees, and in this figure, 40 degrees is on two of the 3 angles so, 40+40=80, 180-80=100.
100 Degrees = y
Describe an example in which two variables are strongly correlated, but changes in one do not cause changes in the other.
Just because 2 things are related doesn't mean they will both be changed when one thing happens. For example steak and candy, just because they are both food doesn't mean they taste the same or interact with each other.
Relatively Simple Math, pls lend a hand. 50 points and Brainliest
Answer:
B. 192 miles in 3 hoursStep-by-step explanation:
Mr. Anderson's rate is:
480 / 7.5 = 64 mphGiven options, find rates and compare with the above number:
A. 120/2 = 60 mph, NoB. 192/3 = 64 mph, YesC. 100/1.5 = 66.66 mph, NoD. 240/3.25 = 73.85 mph, No4. Suppose you have a map of Charlotte where 2
inches equals 4 miles. On the map, the distance
from your house to school if 3.5 inches. How
many miles is this?
45 cows can graze a field in 13 days. How many cows will graze the same field in 9 days
Answer:
65 cows
Step-by-step explanation:
Inverse rule of three
[tex]45-------13\\x -------- 9[/tex]
[tex]x=\frac{(45)(13)}{9}=585/9=65[/tex]
Hope this helps
Solve the quadratic by factoring: 3x^2+36x+33=0
Answer:
= − 11
Step-by-step explanation:
BEST ANSWER GETS BRAINLIEST!!!!!!!!1
Two pools are being filled with water. To start, the first pool contains 1900 liters of water and the second pool contains 1351 liters of water. Water is being added to the first pool at a rate of 20.5 liters per minute. Water is being added to the second pool at a rate of 35.75 liters per minute.
After how many minutes will the two pools have the same amount of water?
How much water will be in each pool when they have the same amount?
After how many minutes will the two pools have the same amount of water? 36 min.
How much water will be in each pool when they have the same amount? 2638 liters.
Explanation:
y=1900+20.5x
y=1351+35.75x
Let the time be t
[tex]\\ \sf\longmapsto 1900(1+\dfrac{20.5}{100})^t=1351(1+\dfrac{35.75}{100})^t[/tex]
[tex]\\ \sf\longmapsto 1900(\dfrac{120.5}{100})^t=1351(\dfrac{135.75}{100})^t[/tex]
[tex]\\ \sf\longmapsto 1900(1.2)^t=1351(1.35)^t[/tex]
[tex]\\ \sf\longmapsto \dfrac{1900}{1351}=\left(\dfrac{1.35}{1.2}\right)^t[/tex]
[tex]\\ \sf\longmapsto 1.4=(1.125)^t[/tex]
[tex]\\ \sf\longmapsto (1.125)^2.9=(1.125)^t[/tex]
[tex]\\ \sf\longmapsto t=2.9h[/tex]
Can somebody answer this with A ANSWER and not sum else whoever does I will give brainiest
Answer:
911,250
Step-by-step explanation:
4050 · 225 = 911,250
What is 3 x 320 x 5 x 10245?
Answer:
49176000
I hope this helps.
Eleven more than five times a number is equal to the difference between −38 and twice the number. Find the number.
Answer:
x = -7
Step-by-step explanation:
Eleven more than five times a number is equal to the difference between −38 and twice the number.
let x represent the number.
11 + 5x = -38 - 2x
7x +11 = -38.............add 2x to both sides
7x = -49................... subtract 11 from both sides
x = -7........................divide both sides by 7
Write an explicit formula for each sequence given below.
Part A
1,-10, 100,-1,000, 10,000
Explicit Formula: In =
Part B
10.2, 2.2, -5.8, -13.8, -21.8
Explicit Formula: an =
Answer:
The first five values are 12, 14, 16, 18 and 20
The recursive formula is as follow
Step-by-step explanation:
Since we need to find the first 5 values we start with n = 1 to n = 5. Note that we don't start from n = 0 as the question states that n ≥ 1.
For the first 5 values we just replace the value of n with 1, 2, 3, 4 and 5 and calculate the answer
The first five values are 12, 14, 16, 18 and 20
A recursive formula is one that
a) Mentions the initial term
b) provides a formula connecting the previous term to the existing term.
Since we know the first term is 12, i.e and we know that the difference between consecutive terms is 2 we can conclude that the recursive formula is made up of the following two formulas
The over all formula is as follow
Step-by-step explanation:
Hope this helps:)
A water bottling facility has a mean bottling rate of 33.5 thousand bottles per hour with a standard deviation of 1.92 thousand bottles. A nearby cola bottling facility has a mean bottling rate of 26.2 thousand bottles per hour with a standard deviation of 1.42 thousand bottles. One Wednesday from noon to 1:00 p.m., the water bottling facility bottled 34.9 thousand bottles of water, and the cola bottling facility bottled 26.8 thousand bottles of cola. Which facility increased their efficiency more during that hour
Using z-scores, we have that due to the higher z-score, the water bottling facility increased their efficiency more during that hour.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean.In this problem, the facility with the higher z-score increased their efficiency more during that hour.
For the water bottling facility, we have that [tex]\mu = 33.5, \sigma = 1.92, X = 34.9[/tex], hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{34.9 - 33.5}{1.92}[/tex]
[tex]Z = 0.73[/tex]
For the cola bottling facility, we have that [tex]\mu = 26.2, \sigma = 1.42, X = 26.8[/tex], hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{26.8 - 26.2}{1.42}[/tex]
[tex]Z = 0.42[/tex]
Due to the higher z-score, the water bottling facility increased their efficiency more during that hour.
A similar problem is given at https://brainly.com/question/24663213
Solve the following of:
11/15 × 7/8 ÷ 3/4
Answer:
Well following the order of operations
You just do this from left to right
11/15* 7/8 = 77/120
77/120 ÷ 3/4
or
77/120 * 4/3
77/90 (simplified)
77/90 is the answer
This circle is centered at the point (3,2) and the length of its radius is 5 what is the equation of the circle
Answer:(x-3)² + (y-2)² = 25
Step-by-step explanation:
A circle's equation is (x-h)² + (y-k)² = r². When centered at the origin, h and k equal 0. If you shift the circle, say, one unit up, then k equals 1, and the equation is x² + (y-1)² = r².
So for your circle, the equation would be (x-3)² + (y-2)² = 5² or (x-3)² + (y-2)² = 25.
Answer:
(x - 3)² + (y - 2)² = 25
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
Here (h, k ) = (3, 2 ) and r = 5 , then
(x - 3)² + (y - 2)² = 5² , that is
(x - 3)² + (y - 2)² = 25 ← equation of circle
wich of the of the following is correct setup to find: a 12% bonus is $ 30.72 of what amout
There were 5 times the number of students in ninth grade at the soccer game. How many students attended the soccer game? It dosent tell me the previous number and it only gave me one.
Answer
I think it is 25
Step-by-step explanation:
5 x 5 = 25 I think
Answer:
We’ll you can not physically or mentally get a answer
Step-by-step explanation:SORRY
help help hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeellllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
E is correct
...............
how to add and subtracts decimals from whole nubers
Answer:
ok so to do this you line them up like normal then always remember to make sure your decimal is in the right spot if you need more help there are many easy solutions online also if you need more help you can always send me a picture of the question or tell me it and it will make things a lot easier :)
Step-by-step explanation:
Screenshot proidedpls answer quick
Answer: The price of the torch is 2 and 2/2.5 is 80% or 8/10th of the total price.
Step-by-step explanation:
x is the price of the battery
x + 1.50 is the price of the torch
x + (x + 1.50) is 2.50
x + (x + 1.50) = 2.50
2x = 2.50 - 1.50
2x = 1
x = 1/2
x = 0.50
The price of the torch is 2 and 2/2.5 is 80% or 8/10th of the total price.
the value of x in the solution to the system x+y=10 and x-y=4
Answer:
x = 7; y = 3
Step-by-step explanation:
I used the Trial and Error Method and found that x = 7 and y = 3
=> 7 + 3 = 10
=> 10 = 10. ✔
=> 7 - 3 = 4
=> 4 = 4. ✔
Therefore, x = 7 and y = 3
Hoped this helped.
HELOOOOOOO HELPPPPPPPPP
Answer:
e would be 130 because its vertical angles and it has to add up to 180 so f would be 50 im not sure about d yet
Answer:
e = 130º it's a vertical angle
f = 50º it's supplementary to 130º
d = 90º it's a right angle
POSSIBLE POINTS: 33.33
homeowner collects data about the amount of oil A, in gallons, used to heat the house per month for 5 months and the
verage monthly temperature t, in degrees Fahrenheit, for those months. The scatter plot shows the data. The function
(t) = -1.4t + 96 best fits these data.
=============================================================
Explanation:
Check out the diagram below. I've plotted the regression line A(t) = -1.4t+96 on the same xy grid as the given scatterplot. This line tries to get as close as possible to all of the points.
From here, we plug in each of the temperatures mentioned in the five answer choices (10, 15, 68.5, 55, 0). The outputs form the second column of the table in that same diagram.
For example, if we plugged in t = 10, then,
A(t) = -1.4t+96
A(10) = -1.4(10)+96
A(10) = -14 + 96
A(10) = 82
Telling us that a temperature of 10 degrees F would have a predicted or estimated usage of roughly 82 gallons of oil. This points to choice A being one of the answers.
The other temperature values are handled the same way. Choice B is false because t = 15 does not lead to A(t) = 85. Instead, it's A(15) = 75 meaning it's 10 degrees off the mark.
Choice C is true though. Plugging t = 68.5 into A(t) leads to A(t) = 0.1 which rounds to 0 assuming we're only worried about whole numbers. If your teacher is considering decimal values, then choice C is unfortunately false. For now I'll assume your teacher wants you to round.
If we tried t = 55, then we'd get A(15) = -1.4*55+96 = 19 which is not 5 as we'd want. This rules out choice D.
Lastly, plug in t = 0 to find that A(t) = 96. This leads to choice E being one of the answers.
For the graph attached statements A, C and E are true.
Function that fits the given data in the graph,
A(t) = -1.4t + 96Here, t = temperature in Fahrenheit
A(t) = Oil used in gallons
By substituting the value of 't' in the equation we can get the amount of oil used A(t) to heat the house.
Option A
By substituting t = 10°F,
A(10) = -1.4(10) + 96
= 82 gallons
Therefore, statement is true.
Option B
For t = 15°F,
A(15) = -2.4(15) + 96
= 60 gallons
Statement is False.
Option C
For t = 68.5°F
A(5) = -1.4(68.5) + 96
= 0.1 gallons
≈ 0 gallons
Statement is True.
Option D
For t = 55°F,
A(55) = -1.4(55) + 96
= 19 gallons
Statement is False.
Option E
For t = 0°F
A(0) = -1.4(0) + 96
= 96 gallons
Statement is true.
Therefore, statements given in options A, C and E are True.
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Calcular la masa que tiene un cuerpo que se le aplica una fuerza que empuja al lado derecho de 230 N y otra fuerza que empuja al lado izquierdo de - 150N. Considerar que la aceleración que adquiere es de 2 m/s2.
Answer:
Calculate the mass of a body that is applied with a force that pushes the right side of 230 N and another force that pushes the left side of - 150N. Consider that the acceleration it acquires is 2 m / s2.
Step-by-step explanation:
230 e dos
which number line represents the solution of 1 - 2x ≥ 3
Answer:
Number line D
Step-by-step explanation:
1 - 2x ≥ 3
Subtraact 1 from both sides
-2x ≥ 2
Multiply both sides by -1
When multiplying by a negative the inequality is reversed
2x ≤ -2
Divide both sides by 2
x ≤ -1
Number line D
Let f(x)=3x-8 and g(x)=x^2+4.
Find f(g(-2)).
Answer:
16Step-by-step explanation:
Given:
f(x) =3x - 8 and g(x) = x² + 4f(g(- 2)) = ?First find g(- 2):
g(- 2) = (-2)² + 4 = 4 + 4 = 8Find f(8):
f(8) = 3*8 - 8 = 24 - 8 = 16g(-2):-
[tex]\\ \sf\longmapsto (-2)^2+4[/tex]
[tex]\\ \sf\longmapsto 4+4[/tex]
[tex]\\ \sf\longmapsto 8[/tex]
Now
[tex]\\ \sf\longmapsto f(x)=3x-8[/tex]
[tex]\\ \sf\longmapsto f(g(-2))=f(8)[/tex]
[tex]\\ \sf\longmapsto 3(8)-8[/tex]
[tex]\\ \sf\longmapsto 24-8[/tex]
[tex]\\ \sf\longmapsto 16[/tex]
Suppose `h\left(t\right)=-5t^{2}+10t+3`is an expression giving the height of a diver above the water (in meters), t seconds after the diver leaves the springboard.
a. How high above the water is the springboard? Explain how you know.
Answer:
Step-by-step explanation:
a) The height of the springboard above the water should be h(0) : Read, the height at t = 0
h(0) = -5(0) + 10(0) + 3
h(0) = 0 + 0 + 3
h(0) = 3
a) 3 meters
b) The time it takes the diver to hit water should be, the positive 0 solution for t. Remember, in a quadratic equation, there are two values for t where a parabola crosses the horizontal axis, which in this case would be t. Just by looking at the function, h(t) = -5t2 + 10t + 3 , one should be able to see that it cannot be factored easily, so it requires the Quadratic Formula to find the zeros ; x = -b ±√(b2-4ac) / 2a
Substitute t for x, and use the coefficients for a, b, c:
t = (-10 ± √((102 - 4(-5)(3)))/2(-5)
t = (-10 ±√(100 + 60))/-10
t = (-10 ±√160)/-10) ; Now factor the 160 to simplify:
t = (-10 ±√(10*16))/-10
t = (-10 ±4√10)/-10 ; Factor out leading coefficient of -2 from the numerator:
t = -2(5 ± 2√10)/-10
t = (5 ± 2√10)/5
Using a calculator to find the zeros, and disregarding the negative zero (because t starts at 0):
t ≈ 2.265
b) approx. 2.265 seconds for diver to hit water.
c) To find this, set the function equal to 3 to find what other value for t would be equal to 3 (we know one is 0).
-5tt + 10t + 3 = 3
-5t2 + 10t = 0 ; factor out t
t(-5t + 10) = 0
We know t = 0:
We also know that -5t + 10 = 0
-5t = -10
t = 2
c) 2 seconds. This is the time that diver would equal height of t=0 which is where he started, and where he equals the height of the springboard.
d and e) The peak of the dive (parabola), is determined using the formula h = -b/2a (Derived from the Quadratic Formula) to find the y value (in this case, the h value, answering e) and then using that result in the function to find the x value (in this case, the t value answering d) of the point where the parabola (dive path) reaches a maximum(height), or minimum(in upward opening parabolas).
h = -10/2(-5)
h = -10/-10
h = 1
h(1) = -5(1)2 + 10(1) + 3
h(1) = -5 + 10 + 3
h(1) = 8
d) At t = 1 second, diver will have reached peak of dive.
e) At t = 1 second, diver will have reached a maximum height of 8 meters.
7. Eddicycle Cycle Shop sells the Ultra Extreme X mountain bike for $179.98. Kammie Cycles sells the same
bicycle for $280.20. Today, Kammie Cycles decides to offer a 19% discount on the mountain bike. Which
store offers the better deal?
A Kammie Cycles
B Eddicycle Cycle Shop
Luisa sella otuff
Answer:
edficycle cycle shop luisa sella otuff
a function is given, 2^x + 3. find f(-2)
Answer:
2_3_4_4/547767()9897568. thank
b(n)=−8−2(n−1)b, left parenthesis, n, right parenthesis, equals, minus, 8, minus, 2, left parenthesis, n, minus, 1, right parenthesis
Find the 9^\text{th}9
th
9, start superscript, start text, t, h, end text, end superscript term in the sequence
Step-by-step explanation:A(n)=−5+6(n−1)a, left parenthesis, n, right parenthesis, equals, minus, 5, plus, 6, left parenthesis, n, minus, 1, right parenthesis find the 12^\text{th}12 th 12, start superscript, t, h, end superscript term in the sequence
A(n)=−5+6(n−1)a, left parenthesis, n, right parenthesis, equals, minus, 5, plus, 6, left parenthesis, n, minus, 1, right parenthesis find the 12^\text{th}12 th 12, start superscript, t, h, end superscript term in the sequence
What is a sequence?A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. It has members, just like a set does. The length of the sequence is determined by the number of items.
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