Suppose that the average people living in a brgy is 34 years old with a standard deviation of 14

Answer:

-6

Step-by-step explanation:

-6

Answer:

5.25 or 5 1/4

Step-by-step explanation:

rate of change = slope = m = rise ÷ run

21 ÷ 4 = 5.25 or 5 1/4

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Answer:

Step-by-step explanation:

the longest side of a right triangle, opposite the right angle.

Answer:

here

Step-by-step explanation:

here

the probability that the average length of a randomly selected bundle of steel rods is between 196.6 cm and 196.7 cm is approximately 0.2888.

To find the probability that the average length of a randomly selected bundle of steel rods is between 196.6 cm and 196.7 cm, we need to calculate the z-scores for these values and then use the standard normal distribution.

The z-score formula is given by:

z = (x - μ) / (σ / √n)

Where:

x is the value we are interested in (in this case, the mean length of the bundle),

μ is the mean of the population (196.8 cm),

σ is the standard deviation of the population (1 cm),

n is the sample size (24 rods in a bundle).

Calculating the z-scores:

For 196.6 cm:

z1 = (196.6 - 196.8) / (1 / √24) = -1.7889

For 196.7 cm:

z2 = (196.7 - 196.8) / (1 / √24) = -0.4472

Now, we can use a standard normal distribution table or a calculator to find the probabilities associated with these z-scores.

Using a standard normal distribution table, we can find the corresponding probabilities:

P(196.6 cm < x < 196.7 cm) = P(-1.7889 < z < -0.4472)

Looking up the z-scores in the table, we find:

P(z < -0.4472) ≈ 0.3255

P(z < -1.7889) ≈ 0.0367

To find the probability between the two z-scores, we subtract the smaller probability from the larger probability:

P(-1.7889 < z < -0.4472) = P(z < -0.4472) - P(z < -1.7889) ≈ 0.3255 - 0.0367 ≈ 0.2888

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The joint probability, Prob(V1 < 0.5, V2 < 0.3), of two uniformly distributed variables V1 and V2, modelled using a Gaussian copula with a correlation coefficient of ρ = 0.5.

Given that V1 and V2 are uniformly distributed between 0.2 and 0.8, we need to transform these variables to standard normal variables before calculating the joint probability. The Gaussian copula is commonly used for this purpose.

The transformation from the uniform distribution to the standard normal distribution can be achieved using the inverse of the cumulative distribution function (CDF) of the standard normal distribution. Let Φ denote the CDF of the standard normal distribution. The transformed variables, denoted as U1 and U2, can be calculated as follows:

U1 = Φ^(-1)(V1)

U2 = Φ^(-1)(V2)

Since the correlation coefficient between U1 and U2 is ρ = 0.5, we can calculate the joint probability using the bivariate normal distribution function with mean 0, standard deviation 1, and correlation coefficient 0.5. Let Φ2 denote the cumulative bivariate normal distribution function.

\(Prob(V1 < 0.5, V2 < 0.3) = Prob(U1 < Φ^(-1)(0.5), U2 < Φ^(-1)(0.3))\)

\(= Φ2(Φ^(-1)(0.5), Φ^(-1)(0.3); ρ = 0.5)\)

By evaluating the bivariate normal distribution function at the given values, we can obtain the joint probability.

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To write down the joint probability Prob(V1 < 0.5, V2 < 0.3) in terms of the cumulative bivariate normal distribution function, we need to utilize the properties of the Gaussian copula and the correlation coefficient.

The function is f(x) = 15x + 25 and you would have 6 services if you were charged $25

We know that the hair salon charges a fixed rate of $25.00 for a haircut and then an additional $15 for any other services, therefore:

Let x = number of services, then we can obtain the function as:

f(x) = 15x + 25 (function)

when we further solve the function, we get the answer for how many services one would have if we were charged $25,

f(x) = 15x + 25

115 = 15x + 25

90 = 15x

6 = x

Now, we know that the function is f(x) = 15x + 25 and you would have 6 services if you were charged $25

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Answer:

if this is 4.88/16 then the answer is 0.305.

Answer:

75

Step-by-step explanation: cuz yes

Step-by-step explanation:

A whole number that is not able to be divided by two into two equal whole numbers. Example: 1, 3, 5, and 7 are odd numbers

Answer:

i think its (x2,y2)=(19,3)

Step-by-step explanation:

sorry if its wrong

The correlation coefficient of the security X and Y returns is closest to 0.67, indicating a moderate positive correlation between the two securities.

The correlation coefficient of the security X and Y returns is closest to 0.67. This can be calculated by dividing the covariance of the returns by the square root of the product of the variances of X and Y.

The correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges between -1 and 1, with values close to 1 indicating a strong positive correlation, values close to -1 indicating a strong negative correlation, and values close to 0 indicating a weak or no correlation.

In this case, the given covariance is 10, the variance of Security X's returns is 13%, and the variance of Security Y's returns is 17%. To calculate the correlation coefficient, we use the formula:

Correlation coefficient = Covariance / (\(\sqrt{}\)(Variance_X) * \(\sqrt\)(Variance_Y))

Plugging in the values, we get:

Correlation coefficient = 10 / (\(\sqrt\)(13%) * \(\sqrt\)(17%)) ≈ 0.67

Therefore, the closest option is 0.67, indicating a moderately strong positive correlation between the returns of Security X and Security Y.

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Answer:

x = 19°

Step-by-step explanation:

x and 19° are alternate angles and are congruent , then

x = 19°

Answer:

13. x = 21; y = 15

14. x = 8; y = 11

15. x = 16; y = 23

Step-by-step explanation:

13. (3x - 16)° + (6x + 7)° = 180° (same side interior angles are supplementary)

Solve for x

3x - 16 + 6x + 7 = 180

Collect like terms

9x - 9 = 180

Add 9 to both sides

9x = 180 + 9

9x = 189

Divide both sides by 9

x = 189/9

x = 21

(6x + 7)° = (11y - 32)° (vertical angles are congruent)

Solve for y by substituting x = 21 into the equation

6(21) + 7 = 11y - 32.

126 + 7 = 11y - 32

133 = 11y - 32

Add 32 to both sides

133 + 32 = 11y

165 = 11y

Divide both sides by 11

165/11 = y

15 = y

y = 15

14. (11x - 25)° = (8x - 1)° (alternate exterior angles theorem and corresponding angles theorem)

Solve for x

11x - 25 = 8x - 1

Collect like terms

11x - 8x = 25 - 1

3x = 24

Divide both sides by 3

x = 24/3

x = 8

(8x - 1)° + (15y - 48)° = 180° (linear pair theorem)

Substitute x = 8 into the equation and solve for y

8(8) - 1 + 15y - 48 = 180

64 - 1 + 15y - 48 = 180

15 + 15y = 180

Subtract 15 from both sides

15y = 180 - 15

15y = 165

Divide both sides by 15

y = 165/15

y = 11

15. (7x - 44)° = (4x + 4)° (alternate exterior angles theorem)

Solve for x

7x - 44 = 4x + 4

Collect like terms

7x - 4x = 44 + 4

3x = 48

Divide both sides by 3

x = 48/3

x = 16

39° + (8y - 43)° = 180° (corresponding angles theorem and linear pair theorem)

Solve for y

39 + 8y - 43 = 180

Collect like terms

-4 + 8y = 180

Add 4 to both sides

8y = 180 + 4

8y = 184

Divide both sides by 8

y = 184/8

y = 23

Answer:

5:1

Step-by-step explanation:

I think

The statement ''two right triangles that are not similar can still have a pair of congruent acute angles '' is true.Two right triangles that are not similar can still have a pair of congruent acute angles.

The similarity of the two triangles is determined by their corresponding side ratios, not by their angles. Therefore, two right triangles that have different side ratios can still have the same angles, and these angles can be congruent.

For example, a right triangle with sides 3, 4 and 5 can be congruent to another right triangle with sides 6, 8, and 10, both have angles of 90 degrees but the sides are different. So, it is possible for two right triangles that are not similar to have congruent angles.

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Complete question:

Two right triangles that are not similar can still have a pair of congruent acute angles.True or false.

The equation 1 + 4 + 9 + ... + n² = n(n + 1)(2n + 1) / 6 is proven by mathematical induction.

We have,

To prove the equation 1 + 4 + 9 + ... + n² = n(n + 1)(2n + 1) / 6 using mathematical induction,

We will follow the three steps of mathematical induction:

The base case, the induction hypothesis, and the inductive step.

Step 1: Base case

Let's start by checking if the equation holds true for the base case, which is n = 1.

When n = 1, the left-hand side (LHS) is 1² = 1, and the right-hand side (RHS) is 1(1 + 1)(2(1) + 1) / 6 = 1.

Since LHS = RHS for the base case, the equation holds true.

Step 2: Induction hypothesis

Assume the equation holds true for some positive integer k, where k ≥ 1. This is our induction hypothesis:

1 + 4 + 9 + ... + k² = k(k + 1)(2k + 1) / 6

Step 3: Inductive step

We need to prove that if the equation holds true for k, it also holds true for k + 1.

Starting with the left-hand side of the equation, we add (k + 1)² to both sides:

1 + 4 + 9 + ... + k² + (k + 1)² = k(k + 1)(2k + 1) / 6 + (k + 1)²

Simplifying the right-hand side:

= [k(k + 1)(2k + 1) + 6(k + 1)²] / 6

= [(2k³ + 3k² + k) + (6k² + 12k + 6)] / 6

= (2k³ + 9k² + 13k + 6) / 6

= [(k + 1)(k + 2)(2k + 3)] / 6

We can see that the right-hand side is now in the form

(k + 1)((k + 1) + 1)(2(k + 1) + 1) / 6, which matches the equation for k + 1.

Since the equation holds true for k implies it holds true for k + 1, and the base case is true, we have proven the equation using mathematical induction.

Therefore,

The equation 1 + 4 + 9 + ... + n² = n(n + 1)(2n + 1) / 6 is proven by mathematical induction.

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Answer:

To find x intercept, u graph it

the x intercept is 1.67

Step-by-step explanation:

Answer:

it's x= 1±sqrt(47)

Step-by-step explanation:

Answer:

Oh easy...

Step-by-step explanation:

Multiply the numerator on the left by the denominator on the right, and the numerator on the right by the denominator on the left, to solve a proportion. Cross multiplying is the term for this. Simplify the equation, then solve for the variable using the inverse operation, division.

Answer:

For the first picture:

1) Right angle

2)Acute

3)Obtuse

For the second picture:

W) Acute

Step-by-step explanation:

Step-by-step explanation:

-1/4, -1/5, -1/6, -1/7, -1/8, 1/8, 1/7, 1/6, 1/5, 1/4

Answer:

(13/24)

Step-by-step explanation:

let’s find a common number that we can get on the denominator

4 can be multiplied to get 48

6 can be multiplied to get 48

and 8 can also be multiplied to get 48

4(12) = 48

so for the equation (1/4) the numerator and denominator will both be multiplied by 12

(1/4)x(12/12) = (12/48)

6(8)= 48

(1/6)x(8/8) = (8/48)

8(6) = 48

(1/8)x(6/6) = (6/48)

now the fractions are

(12/48)+(8/48)+(6/48)

we can add them now because they have the same denominator and we get:

(26/48)

this can be simplified if we divide both the numerator and denominator by 2 and we get

(13/24)

Answer:

\(\frac{13}{24}\)

Step-by-step explanation:

LCM(4, 6, 8) = 24

\(\frac{1}{4}\) + \(\frac{1}{6}\) + \(\frac{1}{8}\) = \(\frac{6+4+3}{24}\) = \(\frac{13}{24}\)

Answer:

j = 2/3

Step-by-step explanation:

-1/3 = -1/2 j

Multiply each side by -2

-1/3 * -2 = -1/2 j * -2

2/3 =j

Answer:

j = 2/3

Step-by-step explanation:

-2/3 = -j

j = 2/3

Convergence is a technique used by a professional to gain the audience's trust by using speech they are unfamiliar with. This assertion is untrue.

As in the case of a convergence of plum as well as apricot genetic mutations in the plucot, convergence would be when multiple components combine to form a fresh fact that the entire.

What are convergence & divergence in speech?

Convergence refers to behavioral tactics used by speakers to alter their communication so that it resembles other people's. Divergence, on the reverse hand, relates to interpersonal strategies where a person speaking changes how they speak towards other people in order to emphasize or create differences.

There are three distinct kinds of convergent plate boundaries: oceanic-continental, oceanic-oceanic, as well as continental-continental.

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Answer:

The cost of one hot dog is $2.50

Step-by-step explanation:

You need to subtract $3.20 from $18.20 to get $15.00. Then you need to divide $15.00 by 6 to get $2.50.

According to the given information, the random variable B represents the number of residents who are at least 25 years old and have a bachelor’s degree out of the sample of 50 residents selected randomly.

To find the probability that B will equal 40, we will use the formula for the binomial distribution which is given as:P(B = k) = (nCk) * p^k * q^(n-k)Where,Binomial probability is denoted by P.B is the random variable whose value we have to find.n is the number of independent trials.k is the number of successful trials.p is the probability of success.q is the probability of failure.nCk is the number of combinations of n things taken k at a time.

Now, let's substitute the given values in the formula:P(B = 40) = (50C40) * 0.69^40 * (1-0.69)^(50-40)Now,50C40 = (50!)/(40! * (50-40)!)50C40 = 1144130400/8472886094430.69^40 = 2.4483 × 10^(-7)(1-0.69)^(50-40) = 0.0904Substituting all the given values we get:P(B = 40) = (1144130400/847288609443) * 2.4483 × 10^(-7) * 0.0904P(B = 40) = 0.0343Therefore, the probability that B will equal 40 is 0.0343.

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Recurring decimal: 0.5

The recurring decimal 0.5 can be expressed as a rational number, which is 1/2.

Recurring decimal: 10.3 The recurring decimal 10.3 can be expressed as a rational number, which is 103/10.

Recurring decimal: 10.34

The recurring decimal 10.34 can be expressed as a rational number, which is 1034/100.

Recurring decimal: 0.5

A recurring decimal is a decimal representation of a fraction where one or more digits repeat indefinitely. In the case of 0.5, it can be rewritten as 1/2. This is because 0.5 is equivalent to the fraction 1/2, where the numerator is 1 and the denominator is 2. Therefore, the rational representation of 0.5 is 1/2.

Recurring decimal: 10.3

Explanation: To convert 10.3 to a rational number, we can consider it as a mixed fraction. The integer part is 10, and the decimal part is 0.3. Since 0.3 is equivalent to the fraction 3/10, we can combine it with the integer part to get 10 3/10. This can be further simplified to an improper fraction as 103/10. Therefore, the rational representation of 10.3 is 103/10.

Recurring decimal: 10.34

Explanation: Similar to the previous case, we can consider 10.34 as a mixed fraction. The integer part is 10, and the decimal part is 0.34. The fraction equivalent of 0.34 is 34/100. Combining the integer part and the fraction, we get 10 34/100. This can be simplified to 10 17/50. Finally, we can express it as an improper fraction, which is 1034/100. Therefore, the rational representation of 10.34 is 1034/100.

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