WILL MARK BRAINLIST !!
Find the value of xº from the given figure applying the activity. ​

Answer:

x = √55

Step-by-step explanation:

using Pythagoras Theorem:

x² + 3² = 8²

x² = 64 - 9

x² = 55

x = √55 ..........this is your answer in radical form.

x = 7.416

Answer:

x = √55 = 7.4162

Step-by-step explanation:

The Pythagorean Theorem states that a^2 + b^2 = c^2

so 3^2 + x^2 = 8^2

x^2 = 64 - 9 = 55

x = √55 = 7.4162

a.  The probability that this runner will complete this road race: In less than 160 minutes is 0.0764. The correct answer is C.

b.  The probability that this runner will complete this road race: In 215 to 245 minutes is 0.1125 The correct answer is C.

a. To find the probability for each scenario, we'll use the given normal distribution parameters:

Mean (μ) = 190 minutes

Standard Deviation (σ) = 21 minutes

Probability of completing the road race in less than 160 minutes:

To calculate this probability, we need to find the area under the normal distribution curve to the left of 160 minutes.

Using the z-score formula: z = (x - μ) / σ

z = (160 - 190) / 21

z ≈ -1.4286

We can then use a standard normal distribution table or statistical software to find the corresponding cumulative probability.

From the standard normal distribution table, the cumulative probability for z ≈ -1.4286 is approximately 0.0764.

Therefore, the probability of completing the road race in less than 160 minutes is approximately 0.0764. The correct answer is C.

b. Probability of completing the road race in 215 to 245 minutes:

To calculate this probability, we need to find the area under the normal distribution curve between 215 and 245 minutes.

First, we calculate the z-scores for each endpoint:

For 215 minutes:

z1 = (215 - 190) / 21

z1 ≈ 1.1905

For 245 minutes:

z2 = (245 - 190) / 21

z2 ≈ 2.6190

Next, we find the cumulative probabilities for each z-score.

From the standard normal distribution table:

The cumulative probability for z ≈ 1.1905 is approximately 0.8820.

The cumulative probability for z ≈ 2.6190 is approximately 0.9955.

To find the probability between these two z-scores, we subtract the cumulative probability at the lower z-score from the cumulative probability at the higher z-score:

Probability = 0.9955 - 0.8820

Probability ≈ 0.1125

Therefore, the probability of completing the road race in 215 to 245 minutes is approximately 0.1125. The correct answer is C.

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The value of the correlation coefficient based on the provided R-squared is approximately 0.995562, indicating a strong positive linear relationship between leaf water potential and sap flow velocity for tree #2.

The correlation coefficient, denoted as "r," is a measure of the strength and direction of the linear relationship between two variables.

It ranges between -1 and 1, where -1 indicates a perfect negative correlation, 1 indicates a perfect positive correlation, and 0 indicates no correlation.

In the given least squares regression output, the value of R-squared (R-sq) is provided as 0.99115489.

R-squared represents the proportion of the total variation in the dependent variable that can be explained by the independent variable(s).

It is calculated as the squared value of the correlation coefficient (r).

To find the value of the correlation coefficient based on R-squared, we take the square root of R-squared:

r = √(R-sq)

Using the given value of R-squared (0.99115489), we can calculate the correlation coefficient:

r = √(0.99115489) ≈ 0.995562

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Please find attached the drawing of two triangles which are drawn with MS Word, based on the possible difference of two triangles having a ASA and a SAA configuration.

Unique triangles are triangles that are different based on their configuration, which derives from the positioning of the given parameters to correspond with different congruency requirement.

The conditions for the congruency of two triangles are;

SSS: The Side-Side-Side rule; two triangles are congruent if all three sides of one triangle are congruent to the three sides of the other triangle

SAS: The Side-Angle-Side rule; two triangles are congruent if two sides and the included angle of one are congruent to two sides and an included angle in the other triangle

ASA: The Angle-Side-Angle rule; two triangles are congruent if two angles and the included side of one triangle are congruent to two angles and an included side of the other triangle

SAA: The Side-Angle-Angle rule; Two triangles are congruent if two angles and an a non included side of one triangle are congruent to two angles and the non included side of the other triangle.

RHS: Right angle Hypotenuse Side: Two right triangles are congruent if the hypotenuse side and one leg of one triangle are congruent to the hypotenuse side and one leg of the other right triangle.

The configuration of the unique triangles can therefore, be ASA and SAA, which gives the triangles;

Please see attached drawings of the two unique triangles

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Answer:

x (is greater than or equal to) -24

Step-by-step explanation:

x/-6 - 8 (is greater than or equal to) -12

add 8 to both sides

x/-6 (is greater than or equal to) 4

multiply both sides by -6

x (is greater than or equal to) -24

sorry I didnt know where to find the sign so I just wrote is greater than or equal to

Answer: 225 adult tickets, 375 student tickets

Step-by-step explanation:

a = adult tickets

s = student tickets

a + s = 600 (the adult and student ticket added together should equal 600)

6.00a + 4.50s = 3,037.50 ($6 multiply by the adult ticket plus $4.50 multiply by the student ticket should equal to 3,037.50)

a = -s + 600 (get one of the variable by itself by subtracting it from one side)

6 (-s + 600) + 4.5s = 3,037.5 (substitute the a for -s + 600)

-6s + 3600 + 4.5s = 3,037.5 (combine like terms)

-1.5s + 3600 = 3,037.5 (subtract 3600 from each side)

-1.5s = - 562.5 (divide -1.5 from each side)

s = 375

600 = 375 + a (substitute s for 375)

a = 225

In addition to the Gini index and Entropy, there are other parameters that can be used to measure purity or determine the best split in a decision tree. Two commonly used parameters are: Classification Error , Gini Gain.

Classification Error (Misclassification Error):

The classification error, also known as the misclassification error, measures the fraction of misclassified instances in a node. It calculates the probability of misclassification by assigning the majority class label to all instances in the node. The classification error is given by the formula:

Classification Error = 1 - (max(p1, p2, ..., pk))

where p1, p2, ..., pk are the proportions of each class in the node.

A lower classification error indicates a purer node, where the majority of instances belong to a single class.

Gini Gain:

Gini gain is a measure of the reduction in the Gini index achieved by splitting a node based on a particular feature. It quantifies how much the impurity or randomness decreases after the split. Gini gain is calculated by subtracting the weighted average of the Gini indices of the resulting child nodes from the Gini index of the parent node. The feature with the highest Gini gain is chosen as the best split.

Gini Gain = Gini Index(parent) - (Weighted Average of Gini Indices of Child Nodes)

A higher Gini gain indicates a better split that maximizes the reduction in impurity.

These parameters, like the Gini index and Entropy, help in determining the purity of nodes and finding the optimal splits in a decision tree algorithm. By evaluating multiple parameters, the decision tree can make informed choices about the features and splits that lead to the most homogeneous and informative subsets of data.

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The 16/8 diet is restricting meals and calorie-containing beverages to a fixed window of eight hours per day and then fasting from eating for the remaining 16 hours of the day. Therefore, option b is correct.

This fasting strategy is becoming increasingly popular among those trying to lose weight and burn fat. 16/8 intermittent fasting is also thought to improve blood sugar control and increase longevity.

While other diets often have tight regulations, 16/8 intermittent fasting is simple to follow and may deliver quantifiable results with no disturbance to your diet. It is often seen as less restrictive and more flexible than many other diets, and it is compatible with the majority of lives.

With 16/8 intermittent fasting, you limit your meal intake to an 8-hour window and fast for the remaining 16 hours.

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Answer:

Step-by-step explanation:

71/8*9 which it 639/8 feet long

Answer:

$8.60 + $0.75x

Step-by-step explanation:

the "x" is the variable. change it into any letter you want.

If you need more help comment.

Answer:

prob of being a red=1/2

prob of being an ace=1/13

Answer:

the second one

Step-by-step explanation:

Answer:

1)a

2)c

3)b

4)a

Step-by-step explanation:

No further explanations needed

Answer:

25.135

Step-by-step explanation:

Use the formula \(\pi r^2\) to find the area of the circle and then divide it in half.

Answer:

About 25.13 yards^2

Step-by-step explanation:

The area of a semicircle can be found using the following formula:

\(a=\frac{\pi r^2}{2}\)

We know that the radius is 4 yards. Therefore, we can substitute 4 yards in for r.

\(a=\frac{\pi (4 yards)^2}{2}\)

First, evaluate the exponent.

(4 yards)^2=4 yards *4 yards= 16 yards^2

\(a=\frac{\pi * 16 yards^2 }{2}\)

Multiply pi and 16 yards^2.

\(a=\frac{50.2654825 yards^2}{2}\)

Divide 50.2654825 yards^2 by 2.

\(a=25.1327413 yards^2\)

Rounded to the nearest hundredth:

\(a=25.13 yards^2\)

The area of the semicircle is about 25.13 square yards.

Given:

Initial value = $800 per acre

Growth rate = 3% per year

To find:

How long will it be before the land is worth $1000 per acre.

Solution:

The exponential growth model is:

\(y=a(1+r)^t\)

Where, y is the new value, a is the initial value, r is the growth rate in decimal and t is the number of years.

Putting \(y=1000, a=800, r=0.03\), we get

\(1000=800(1+0.03)^t\)

\(\dfrac{1000}{800}=(1.03)^t\)

\(1.25=(1.03)^t\)

Taking log both sides, we get

\(\log 1.25=\log (1.03)^t\)

\(0.09691=t\log (1.03)\)

\(0.09691=0.012837t\)

Isolating the variable t, we get

\(\dfrac{0.09691}{0.012837}=t\)

\(7.54927=t\)

\(t\approx 7.55\)

Therefore, the land is worth $1000 per acre after 7.55 years.

Answer:

1.) $12,800: 800÷0.0625=12,800

2.)$6,311.37: 5500×(0.035(5))

Answer:

The mean is lower than the median which is lower than the mode.

Step-by-step explanation:

Answer:

susan is correct

Step-by-step explanation:

2+12+4+18+24+32=108

108 divided by 7=54

my reasoning is that the formula is add all and divide by how many numbers you added

Answer:

x=8.499

y=0.167

Step-by-step explanation:

the equation says:x^2-9y^2=72....(1)

x+3y=9.......(2)

divide (2) from (1),it becomes:

x-3y=8

making x subject of formula,

x=8+3y....(3)

submitting (3) into (1),it becomes

(8+3y)^2-9y^2=72

64+48y=72

48y=72-64=8

y=8/48=0.167......(4)

submitting (4) into (2),it becomes

x+3(0.167)=9

x+0.501=9

x=9-0.501

x=8.499

SOLUTION

From the question looking at the row for age > 45 gives use individuals over or older than 45 years. under this same first row, the number that are not color blind is 39. So we are considering 39 as the number of individuals that are over 45 years and not color blind

Total number of individuals (total outcome) is

So the required probability becomes

Hence the answer is 13/47

The period of the Markov chain is 2.

The period of this Markov chain is determined by the number of times you have to go through the probability transition matrix before you return to the same state. The period for this Markov chain is 2, as you can see from the probability transition matrix below:

 P(i,j)   State 0   State 1    State 0   0.5   0.5    State 1   0.3   0.7  


Starting from State 0, the probability of transitioning to State 0 is 0.5, and the probability of transitioning to State 1 is 0.5. If we start from State 1, the probability of transitioning back to State 0 is 0.3, and the probability of transitioning back to State 1 is 0.7.

Therefore, it takes two steps for the chain to return to its original state and the period of this Markov chain is 2.

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Answer:

A. Symmetric Property

Step-by-step explanation:

The Symmetric Propertry states that if x = y, then y = x.

Since XY = WX, and WX = XY, its the Symmetric Property.

Answer:

x = -12

Step-by-step explanation:

Let x be the number.

The product of 5 and x increased by 9 is equal to 15 less than 3 times x.

5x + 9 = 3x - 15.

We can isolate x, getting (5-3)x = -15-9

Then we can solve:

2x = -24

x = -12.

The required number is -12.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, The product of five and a number, increased by 9 is equal to fifteen less than three times then number.

Let x be the number.

Establishing the equation,

5x + 9 = 3x - 15.

(5-3)x = -15-9

Then we can solve:

2x = -24

x = -12.

Hence, the number is -12

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To answer this question, we need to calculate the area of the given wall first to know the area to be painted, and we have the following information:

• We have that the dimensions of the wall are 13ft by 9ft.

• A can of paint will cover 50ft² (50 square feet).

Then we have:

1. Find the area of the wall:

2. Therefore, we have that a can of paint can cover only 50ft², then it can paint only:

3. Therefore, we can say that the paint can cover about 43% of the wall.

Then we have:

No, one can of paint will not be enough since it can cover, approximately, 43% of the area of the given wall.

Main Answer:The difference quotient for the function f(x) = x^2 - 5 is 2x + h.

Supporting Question and Answer:

How do we calculate the difference quotient for a given function?

To calculate the difference quotient for a function, we need to evaluate the expression (f(x + h) - f(x)) / h, where f(x) represents the given function and h is a non-zero value.

Body of the Solution:To find the difference quotient for the function f(x) = x^2 - 5, we need to evaluate the expression (f(x + h) - f(x)) / h.

First, let's find f(x + h):

f(x + h) = (x + h)^2 - 5

= x^2 + 2hx + h^2 - 5.

Now, let's subtract f(x) from f(x + h):

f(x + h) - f(x) = (x^2 + 2hx + h^2 - 5) - (x^2 - 5)

= x^2 + 2hx + h^2 - 5 - x^2 + 5

= 2hx + h^2.

Finally, divide the result by h: (f(x + h) - f(x)) / h = (2hx + h^2) / h = 2x + h.

Final Answer: So, the simplified difference quotient for the function f(x) = x^2 - 5 is 2x + h.

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The difference quotient for the function f(x) = x^2 - 5 is 2x + h.

To calculate the difference quotient for a function, we need to evaluate the expression (f(x + h) - f(x)) / h, where f(x) represents the given function and h is a non-zero value.

To find the difference quotient for the function f(x) = x^2 - 5, we need to evaluate the expression (f(x + h) - f(x)) / h.

First, let's find f(x + h):

f(x + h) = (x + h)^2 - 5

= x^2 + 2hx + h^2 - 5.

Now, let's subtract f(x) from f(x + h):

f(x + h) - f(x) = (x^2 + 2hx + h^2 - 5) - (x^2 - 5)

= x^2 + 2hx + h^2 - 5 - x^2 + 5

= 2hx + h^2.

Finally, divide the result by h: (f(x + h) - f(x)) / h = (2hx + h^2) / h = 2x + h.

So, the simplified difference quotient for the function f(x) = x^2 - 5 is 2x + h.

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Answer:

A!

Step-by-step explanation:

open circle = the number it's on isn't an answer

the arrow is pointing left, the negative side so it's less than :)

Answer:

480 sasquatch

Step-by-step explanation:

Year one: 30 x 2 = 60 sasquatch

Year two: 60 x 2 = 120 sasquatch

Year three: 120 x 2 = 240 sasquatch

Year four: 240 x 2 = 480 sasquatch

Answer:

480

Step-by-step explanation