Answers
Answer:
For the first question the answer is 50(0.2 + 1)^2 = 72
For the second question it is y = 32
Step-by-step explanation:
In case you need to see how i got it...it's belowbbbbbbbbbbbbbbbbbb
For number 1, y is proportional to (x + 1)^2
The equation would be y(x +1)^2 = k(the constant). Then I substituted numbers you gave me in the equation which was : 50(0.2 + 1)^2 = k(72)
For number 2 I used this equation: y (x + 1)^2 = 72. I substituted x for 0.5. The equation will be: y(0.5 + 1)^2 = 72. Then I got 32 for y.
Hope this helps:)jdl
Step-by-step explanation:
i am the best mother freaker
Related Questions
A 6-pack of bouncy balls costs $2. 76. What is the unit price?
Answers
A 6 pack of bouncy ball costs 2.76$ and the unit price of a bouncy ball is $0.46
To find the unit price of the bouncy balls, we need to divide the total cost by the number of bouncy balls in the pack. Since there are 6 bouncy balls in the pack and the cost is $2.76, we can calculate the unit price as follows: Unit price = total cost ÷ number of units
Unit price = $2.76 ÷ 6
Unit price = $0.46
Therefore, the unit price of a bouncy ball is $0.46.
Unit price is a measure of the cost of a single unit of a product. It is calculated by dividing the total cost of a product by the number of units in the package. The unit price is helpful when comparing the costs of different package sizes or brands of the same product. It allows consumers to make informed decisions about their purchases based on the value they receive for their money. Unit pricing is required by law in some countries, including the United States, to ensure transparency in pricing and to protect consumers from deceptive marketing practices. Overall, knowing the unit price of a product can help consumers save money and make more informed purchasing decisions.
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helpp!!! very easy question
Answers
Answer:
The answer is D, E, F or it is also D to F
Step-by-step explanation:
9514 1404 393
Answer:
A and B
Step-by-step explanation:
Speed is the change in distance divided by the change in time. That is, it is the slope of the distance vs. time curve. A steeper slope corresponds to a greater speed.
Between A and B, the slope is (30-0)/(1-0) meters/time-unit = 30 m/u.
Between B and C, the slope is (30-10)/(4-1) = 20/3 = 6 2/3 m/u.
Between C and D, the slope is 0.
Between D and F, the slope is (50-10)/(10-6) = 40/4 = 10 m/u.
The greatest slope is between A and B.
The object has the greatest speed between points A and B.
IQ scores are normally distributed with a mean of 100 and a standard deviation of 16.
a) What percent of people have an IQ of less than 68?
b) What percent of people have an IQ between 100 and 132?
c) Write a 68% confidence interval.
d) If 10,000 people are studied, how many will score above a 148 on the IQ?
Answers
Answer:
Given
μ = 100σ = 16a)
x = 68
z = (x - μ)/σ =(68 - 100)/16 = -2z-score = 0.0228 = 2.28%b)
x = 100 and x = 132
z = (100 - 100)/16 = 0, z-score = 50%z = (132 - 100)/16 = 2, z-score = 0.9772 = 97.72%97.72% - 50% = 47.72%c)
68% confidence interval, assumed sample number n = 100
z-score representing 68% = 0.47
CI = μ ± z× σ/√nCI = 100 ± 0.47*16/√100 = = 100 ± 0.752d)
n = 10000x = 148z = (148 - 100)/16 = 3, z-score is 0.9987Number of people scored above 148:
(1 - 0.9987)*10000 = 13 peoplestatistics computed for larger random samples are less variable than the statistic computed for smaller random samples
Answers
Statistics computed for larger random samples tend to be less variable compared to statistics computed for smaller random samples.
This statement is based on the concept of the Central Limit Theorem (CLT) in statistics. According to the CLT, as the sample size increases, the distribution of the sample mean approaches a normal distribution regardless of the shape of the population distribution. This means that the variability of the sample mean decreases as the sample size increases.
The variability of a statistic is commonly measured by its standard deviation or variance. When working with larger random samples, the individual observations have less impact on the overall variability of the statistic. As more data points are included in the sample, the effects of outliers or extreme values tend to diminish, resulting in a more stable and less variable estimate.
In practical terms, this implies that estimates or conclusions based on larger random samples are generally considered more reliable and accurate. Researchers and statisticians often strive to obtain larger sample sizes to reduce the variability of their results and increase the precision of their statistical inferences.
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What is the solution of the norm approximation problem with one scalar variable x E R, minimize ||x 1 – 511, for the following cases? li norm: A The average (1+b)/m of the entries of b B The (or a) median of the entries of b C The largest magnitude entry of b D The midrange point (max b; + min b;)/2 la norm: Α. The average (1Tb)/m of the entries of b B The (or a) median of the entries of b C The largest magnitude entry of b D The midrange point (max b; + min b;)/2 la norm: A The average (1Tb)/m of the entries of b B The (or a) median of the entries of b C The largest magnitude entry of b D The midrange point (max b; + min bi)/2
Answers
li norm: A. The average ((1 + b)/m) of the entries of b: The solution would be to minimize ||x - 1||, B. The (or a) median of the entries of b: The solution would be to minimize ||x - m||, C. The largest magnitude entry of b: The solution would be to minimize ||x - max(b)||, D. The midrange point ((max(b) + min(b))/2): The solution would be to minimize ||x - ((max(b) + min(b))/2)||.
la norm: A. The average ((1/m)Σb) of the entries of b: The solution would be to minimize ||x - (1/m)Σb||, B. The (or a) median of the entries of b: The solution would be to minimize ||x - m||, C. The largest magnitude entry of b: The solution would be to minimize ||x - max(|b|)||, D. The midrange point ((max(|b|) + min(|b|))/2): The solution would be to minimize ||x - ((max(|b|) + min(|b|))/2)||.
What is norm?
In mathematics, a norm is a mathematical concept that measures the size, length, or magnitude of a vector or a mathematical object.
To find the solution of the norm approximation problem with the given scalar variable x ∈ ℝ and the norm types (li norm and la norm) for the specified cases, let's analyze each case separately:
li norm:
A. The average ((1 + b)/m) of the entries of b: The solution would be to minimize ||x - 1||. This is because taking the average of the entries of b does not involve x, so the norm is simply measuring the distance between x and 1.
B. The (or a) median of the entries of b: The solution would be to minimize ||x - m||, where m is the median of the entries of b. This is because the median is the value that minimizes the absolute differences, so the norm is measuring the distance between x and the median.
C. The largest magnitude entry of b: The solution would be to minimize ||x - max(b)||, where max(b) is the largest magnitude entry in b. This is because the norm is measuring the distance between x and the largest magnitude entry.
D. The midrange point ((max(b) + min(b))/2): The solution would be to minimize ||x - ((max(b) + min(b))/2)||. This is because the midrange point is the value that splits the range between the maximum and minimum values in half, so the norm is measuring the distance between x and the midrange point.
la norm:
A. The average ((1/m)Σb) of the entries of b: The solution would be to minimize ||x - (1/m)Σb||. This is because the average is the value that minimizes the sum of squared differences, so the norm is measuring the distance between x and the average.
B. The (or a) median of the entries of b: The solution would be to minimize ||x - m||, where m is the median of the entries of b. This is because the median is the value that minimizes the absolute differences, so the norm is measuring the distance between x and the median.
C. The largest magnitude entry of b: The solution would be to minimize ||x - max(|b|)||, where max(|b|) is the largest magnitude entry in b. This is because the norm is measuring the distance between x and the largest magnitude entry.
D. The midrange point ((max(|b|) + min(|b|))/2): The solution would be to minimize ||x - ((max(|b|) + min(|b|))/2)||. This is because the midrange point is the value that splits the range between the maximum and minimum absolute values in half, so the norm is measuring the distance between x and the midrange point.
In summary, the solution for each case depends on the specific norm type and the property of b that is being used (average, median, largest magnitude, midrange point).
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What outcome is likely to occur for a hypothesis test evaluating a treatment that has a very large and robust effect?
Answers
For the given statement, we have to correctly rejecting the null hypothesis.
According to the statement
we have to find the outcome when hypothesis test evaluating a treatment that has a very large and robust effect.
For this purpose, we know that the
A hypothesis is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.
And according to the given statement it is clear that the by this we have to rejected this hypothesis.
because this treatment and the large effects are not possible for the independent values of the hypothesis.
In other words, we can say that the we have to correctly rejecting the null hypothesis.
So, For the given statement, we have to correctly rejecting the null hypothesis.
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A farmer goes to the market to sell a box of eggs. A clumsy horse steps on the box of eggs and breaks a lot of them. The horse’s rider offers to pay for all of the eggs in the box and asks the farmer how many eggs there were. The farmer does not remember the exact number, but when she took them out of the box two at a time, there was 1 egg left. The same thing happened when she took them out three, four, five and six eggs at a time, but when she took them out 7 at a time, there were no eggs left
Answers
The smallest number of eggs that could have been in the box is 1134
The problem is to find the smallest number of eggs that could have been in the box, given the remainder when taking them out by different numbers. Here are the moves toward tackling it:
Allow n to be the quantity of eggs in the container. Then we have the accompanying arrangement of congruences:
n ≡ 1 (mod 2)
n ≡ 1 (mod 3)
n ≡ 1 (mod 4)
n ≡ 1 (mod 5)
n ≡ 1 (mod 6)
n ≡ 0 (mod 7)
For this problem, we have k = 6 k = 6, a i = {1,1,1,1,1,0} a_i = {1,1,1,1,1,0}, M i = {1260,840,630,504,420,720} M_i = {1260,840,630,504,420,720}, and y i = {−1,−2,−3,-4,-5,-6} y_i = {-1,-2,-3,-4,-5,-6}.
Plugging these values into the formula and simplifying modulo 5040, we get:
n = (−1260 + −1680 + −1890 + −2016 + −2100 + 0) mod 5040
n = (−8946) mod 5040
n = (−3906) mod 5040
n = 1134 mod 5040
Therefore, the smallest number of eggs that could have been in the box is 1134
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She must determine height of the clock tower using a 1.5 m transit instrument (calculations are done 1.5 m above level ground) from a distance 100 m from the tower she found the angle of elevation to be 19 degrees. How high is the clock tower from 1 decimal place?
Answers
Step-by-step explanation:
We can use trigonometry to solve this problem. Let's draw a diagram:
```
A - observer (1.5 m above ground)
B - base of the clock tower
C - top of the clock tower
D - intersection of AB and the horizontal ground
E - point on the ground directly below C
C
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B
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A
```
We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:
tan(ACD) = CE / AB
tan(19) = CE / 100
CE = 100 * tan(19)
CE ≈ 34.5 m (rounded to 1 decimal place)
Therefore, the height of the clock tower is approximately 34.5 m.
I DON'T WANT A LINK I WANT AN ANSWER CAN YOU ANSWER THIS QUESTION I NEED IT DONE ASSP How large is the distance from one end of your state to the other (North to South)? What is the distance from the east coast to the west coast of your state? Your state is the ___________ largest in the United States.
My state is Virginia
Answers
will give brainliest if your answer IS CORRECT
Answers
Answer:
Reflection over the y-axis.
Step-by-step explanation:
All the x values will change sign so its over the yaxis
Answer:
a. The graph will be reflected over the y-axis
Step-by-step explanation:
When a function is reflected over the y-axis, the x-coordinates are divded by -1, and then the new points will become reflections of the y-axis. Because x was changed to -x in this problem, we know that the graph was relfected across the y-axis.
hope this helps :)
Which of the following could be represented by a periodic function? Explain.
a. the average monthly temperature in your community, recorded every month for three years
Answers
The average monthly temperature in your community, recorded every month for three years, could be represented by a periodic function. A periodic function is a function that repeats its values at regular intervals. In this case, the average monthly temperature data repeats on a yearly basis.
To explain further, let's consider an example. Suppose you have recorded the average monthly temperature in your community for three years. Each year, the temperature follows a similar pattern, with peaks during the summer months and lower temperatures during the winter months. This pattern repeats itself every year.
By plotting the average monthly temperature on a graph, with time on the x-axis and temperature on the y-axis, you would observe a repeated pattern. The graph would show peaks and valleys that occur at regular intervals, indicating a periodic behavior. In summary, the average monthly temperature in your community, recorded every month for three years, can be represented by a periodic function because it exhibits a repeated pattern on a yearly basis.
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Solve the initial value problems in Exercises 27-32 for r as a vector function of t. 27. Differential equation: dr/dt = −ti – tj - tk Initial condition: r(0) = i + 2j + 3k
Answers
The solution to the initial value problem is r(t) = (1 - t) I + (2 - t)j + (3 - t)k.
We are given the differential equation dr/dt = -ti - tj - tk with the initial condition r(0) = i + 2j + 3k. To solve this initial value problem, we need to find the function r(t) that satisfies both the differential equation and the initial condition.
Integrating the differential equation, we have ∫ dr = ∫ (-ti - tj - tk) dt, which gives us r(t) = \(-(1/2)t^2i - (1/2)t^2j - (1/2)t^2k + C\), where C is a constant of integration.
We substitute the initial condition r(0) = I + 2j + 3k into the equation to find the constant C. This gives us
\(i + 2j + 3k = -(1/2)(0)^2i - (1/2)(0)^2j - (1/2)(0)^2k + C.\)
r(t) =\(-(1/2)t^2i - (1/2)t^2j - (1/2)t^2k + i + 2j + 3k.\)
r(t) = \((1 - t)i + (2 - t)j + (3 - t)k.\)
Therefore, the solution to the initial value problem is\(r(t) = (1 - t)i + (2 - t)j + (3 - t)k.\)
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One of the team members convinced you to use Logistic Regression instead of Classification Tree. What argument did the team member use to change your mind
Answers
The argument used by the team member was that a single line is used to differentiate the space into two. This is will make the presentation more attractive. Even if there are higher-dimensional data the lines will generalize into planes and hyperplanes. So according to the team member, it would be better to use Logistic Regression.
When we use the classification tree presentation the data will be mixed up and will clash against each other. So using the Logistic Regression will be better as this divides the data set into two separate parts. So, if the data are not linearly separable then only we should use the Classification Method.
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A group of 18 people need to take an elevator to the top floor. They will go in groups of six. They are deciding who will take the elevator on its second trip.
Answers
The remaining six people will take the elevator on its second trip.
How to determine who will take the elevator on its second trip.Since the group of 18 people will go in groups of six, we can determine the number of trips required to take all 18 people to the top floor.
The first trip will consist of six people, leaving 18 - 6 = 12 people remaining.
The second trip will also consist of six people, leaving 12 - 6 = 6 people remaining.
Therefore, the remaining six people will take the elevator on its second trip.
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I need help with this problem
Answers
\(\\ \sf\longmapsto Area=LB\)
\(\\ \sf\longmapsto Area=(x+4)(x-9)\)
\(\\ \sf\longmapsto Area=x(x-9)+4(x-9)\)
\(\\ \sf\longmapsto Area=x^2-9x+4x-36\)
\(\\ \sf\longmapsto Area=x^2-5x-36\)
Step-by-step explanation:
Solution,
Given:-
Length=x+4
Width=x-9
Now,
By applying the formula for area of rectangle, we get
Area=length×width
Area=(x+4)(x-9)
Area=x(x-9)+4(x-9)
Area=x²-9x+4x-36
Area=x²-5x-36
again i need some help with this :D
Answers
Answer:
v + u - 4
Step-by-step explanation:
An international company has 22,700 employees in one country. If this represents 23.1 of the company's employees,how many employees does it have in total?
Answers
Answer: 98268
Step-by-step explanation:
Given: In an international company,
Employees in one country = 22,700
If this is 23.1% of the total number of company's employees,
[\(1\%=\dfrac1{100}\) , replace 'of' by '×']
i.e. 23.1% of (total employees) = 22700
\(\Rightarrow\ \dfrac{23.1}{100}\times\text{(total employees)}=22700\\\\\Rightarrow\ \text{Total employees}=\dfrac{22700\times100}{23.1}\\\\\Rightarrow\ \text{Total employees}=98268.4\approx98268\)
Hence, there are 98268 employees in total.
pls help this is due tomorow
Answers
Answer:
Only Katie is correct
Step-by-step explanation:
4:10 = 2:5
3:9 = 1:3
10:25 = 2:5
4:10 = 10:25
Answer:
Katie
Step-by-step explanation:
if you multiply 4 by 2.5, you get 10. if you multiply 10 by 2.5 you get 25!
Please helP I WILL MARK BRAINLIEST!
Answers
Answer:
believe it's G, I hope that's correct for you
please help with math thanks
i need word answer for part 1 and 2
Answers
The value of the fraction for 4 multiplied by 3/4 will be 4.
How to calculate the fractionA fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.
In this case, 4 x 3/4 can be solved using multiplication and division as follows:
Multiply the whole number 4 by the numerator of the fraction 3/4:
4 x 3 = 12
Write the product 12 over the original denominator of the fraction 4:
12/4
Simplify the fraction by dividing both the numerator and denominator by their greatest common factor (GCF), which in this case is 4:
12/4 = 3
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Will give u Brainly
Answers
Answer:
Option B
Step-by-step explanation:
Set 1:
med: 76, Range: 50-65= 15IQR: 77-73= 4
find the median, range, and IQRfor each data set.
Set 2:
med: 60, Range: 68-55= 13,IQR: 63-59= 4
76- 60 =16
find the difference of the medians 16 is 4 times 4
so the difference of the medians is 4 times the IQR
----------------------------
hope it helps...
have a great day!!
15 blank CDs for $5; 45 blank CDs for $15
Answers
Answer:
3 cds for 1 dollar
Step-by-step explanation:
Answer:
for every 15 blank cds they cost 5 dollars
Step-by-step explanation:
Can you guys help me with my work, please?
Answers
The image point of (-9, -5) after applying this translation rule (T₋₅, ₀) and dilation (D₂) is (-28, -10).
What is a translation?In Mathematics, the translation of a geometric figure to the left simply means subtracting a digit from the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated up simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image or parent function.
Mathematically, a horizontal translation to the left is modeled by this mathematical expression g(x) = f(x + N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.
Where:
N represents an integer.g(x) and f(x) represent a function.By applying the transformation rule T₋₅, ₀ to the pre-image point (-9, -5), we have:
(x, y) → (x − 5, y + 0)
(-9, -5) → (-9 − 5, -5 + 0) = (-14, -5)
Next, we would apply a dilation (D₂) by using a scale factor of 2:
(x, y) → (kx, ky) = (2x, 2y)
(-14, -5) → (2(-14), 2(-5)) = (-28, -10).
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A health food company is going to make a 600-pound batch of its 'Superfood Blend', which costs $16.35 per pound. This blend consists of whey protein, which costs $10.25 per pound, and powdered spirulina, which costs $22.45 per pound. How many pounds of each should be used to make the blend?
Answers
301 pounds of protein and 299 pounds of spirulina each should be used to make the blend.
Suppose a be the quantity of protein and b be the quantity of spirulina.
\(a+b = 600 .........(i)\)
On simplification
\(a= 600-b\)
\(10.25a+22.5b=16.35*600\)
\(10.25a+22.5b=9810\)
How to solve two variables equation?For solving any equation in two variables we need atleast two equations with those variables and then applying mathematical operations.
Solving the above equations we get:
\(10.25a+22.5(600-a)=9810\)
\(10.25a+13500-22.5a=9810\)
\(13500-12.25a=9810\)
\(13500-9810=12.25a\)
\(a=301.25\)
Then \(b= 298.78\)
Hence the required values of both the compounds has been found.
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Consider the probability distribution of the random variable X
X P(X)
0 0.1
1 0.2
2 0.3
3 ?
a. Find the missing (?) probability value
b. Find E(X).
c. Find Var(X) and x.
d. If Z = 1 + 2/3X, find E(Z), Var(Z) and z.
Answers
a. The missing probability value is 0.4.
b. E(X) = 1.4.
c. Var(X) = 0.56 and σx = 0.75.
d. E(Z) = 2.27, Var(Z) = 2.56, and σz = 1.60.
The given probability distribution of the random variable X shows the probabilities associated with each possible outcome. To find the missing probability value, we know that the sum of all probabilities must equal 1. Therefore, the missing probability can be calculated by subtracting the sum of the probabilities already given from 1. In this case, 0.1 + 0.2 + 0.3 = 0.6, so the missing probability value is 1 - 0.6 = 0.4.
To find the expected value or mean of X (E(X)), we multiply each value of X by its corresponding probability and then sum up the results. In this case, (0 * 0.1) + (1 * 0.2) + (2 * 0.3) + (3 * 0.4) = 0.4 + 0.2 + 0.6 + 1.2 = 1.4.
To calculate the variance (Var(X)) of X, we use the formula: Var(X) = Σ[(X - E(X))^2 * P(X)], where Σ denotes the sum over all values of X. The standard deviation (σx) is the square root of the variance. Using this formula, we find Var(X) = [(0 - 1.4)² * 0.1] + [(1 - 1.4)^2 * 0.2] + [(2 - 1.4)² * 0.3] + [(3 - 1.4)² * 0.4] = 0.56. Taking the square root, we get σx = √(0.56) ≈ 0.75.
Now, let's consider the new random variable Z = 1 + (2/3)X. To find E(Z), we substitute the values of X into the formula and calculate the expected value. E(Z) = 1 + (2/3)E(X) = 1 + (2/3) * 1.4 = 2.27.
To calculate Var(Z), we use the formula Var(Z) = (2/3)² * Var(X). Substituting the known values, Var(Z) = (2/3)² * 0.56 = 2.56.
Finally, the standard deviation of Z (σz) is the square root of Var(Z). Therefore, σz = √(2.56) = 1.60.
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Write an equation of the line passing through point P(0, -1) that is parallel to the line y = - 2x + 3. y =
Answers
Answer:6
-3y= 6 - 2x
Answer:
y=-2x-2
Step-by-step explanation:
Parallel means the same slope from the given slope in the statement.
To find the slope-intercept form equation, you must use the point-slope form which is y-y1=m(x-x1).
The given point (0, -1) includes 0 as the x-intercept and -1 as the y-intercept.
Because parallel is the same slope, the slope we'll insert into our equation is -2.
The point-slope form substituted with the given point and slope looks like the following:
y-(-1)=-2(x-0) which can be simplified to y+2=-2x+0
Solve the simplified equation.
y+2=-2x+0
-2 -2
y=-2x-2
That's the final equation.
Hope this helps.
Hey guys! I need help ASAP! 5th grade math offering 15 points. I believe in u!
Answers
Answer:
Each person will recieve between 3 and 4 liters
Step-by-step explanation:
Carrie makes 27 liters of lemonade and 8 people share the lemonade equally. If we divide the amount of liters of lemonade by the number of people we will get the amount of lemonade each people will get.
27/8 = 3.375
3.375 is in between 3 and 4 so each person will get between 3 and 4 liters of lemonade
Nicole measured some distances on a map of Lassen Volcanic National Park. The scale on the map is 34
inch = 2 miles. What is the actual distance from Raker Peak to Hat Mtn?
Responses
A 4 miles4 miles
B 223
miles2 2 3 miles
C 214
miles2 1 4 miles
D 212
miles2 1 2 miles
E 3 miles
Answers
Performing a change of scale we will see that the actual distance is 4 miles.
What is the actual distance from Raker Peak to Hat Mtn?We know that the scale is:
3/4 inch = 2 miles.
And the distance that Nicole found on the map is (1 + 1/2) inches.
We can rewrrite the scale as:
1 inch = (4/3)*2 miles
1 inch = (8/3) miles.
Then the actual distance will be:
distance = (1 + 1/2) inches = (1 + 1/2)*(8/3) miles = 4 miles.
The correct option is A.
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g how many times would you expect a person selected at random to have to take the test until (s)he passes it? (if necessary, round your answer to 2 decimal places.)
Answers
The probability that a person selected at random to have the test until (s)he passes the test is, 0.03125
Given, a test occurred 5 times in a class.
we have to find that how many times a person selected at random to have the test until (s)he passes it.
the probability of getting pass in the exam be, 1/2
and similarly the probability of getting fail in the exam also be, 1/2
so, the probability that a person selected at random to have the test until (s)he passes the test is,
(1/2)^5
= 1/32
= 0.03125
Hence, the probability that a person selected at random to have the test until (s)he passes the test is, 0.03125
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What is the least number of colors you need to correct color in the sections of these pictures so that no two touching sections are the same color?
Answers
You would assume that in this figure, the number of colored sections with which are not colored with respect to a " touching " colored section, would be half of the total colored sections. However that is not the case, the sections are not alternating as they still meet at a common point. After all, it notes no two touching sections, not adjacent sections. Their is no equation to calculate this requirement with respect to the total number of sections.
Let's say that we take one triangle as the starting. This triangle will be the start of a chain of other triangles that have no two touching sections, specifically 7 triangles. If a square were to be this starting shape, there are 5 shapes that have no touching sections, 3 being a square, the other two triangles. This is presumably a lower value as a square occupies two times as much space, but it also depends on the positioning. Therefore, the least number of colored sections you can color in the sections meeting the given requirement, is 5 sections for this first figure.
Respectively the solution for this second figure is 5 sections as well.