13. The first quartile of the ages of 250 fourth year students is 16 years. Which of the following statement is False? * 1 point 25% of the students are 16 years old and below. 150 students are younger than 16 years. 75% of the students are 16years old and above. Most of the students are above 16 years old. 14. In a 50-item test in Biology, Wrane got a score of 38 which is the third quartile, whatdoes it mean? * 1 point She got the highest score Her score is higher than 25% of her classmates She surpassed 75% of her classmates. Seventy-five percent of the class did not pass the test. 15. Andy got a score of 55, which is equivalent to a 70th percentile rank in mathematics test. Which of the following is NOT true? * 1 point His score is below the 5th decile. 30% of the class got a score of 55 and above. He scored above 70% of her classmates. If the passing mark is the first quartile, he passed the test.

Answer:

  d.  $10.18

Step-by-step explanation:

The sale price is 85% of the original price, and the coupon means he will pay 95% of that. The added tax causes the resulting price to be multiplied by 107%, so for 2 dozen cookies, Ozzie will pay ...

  2($5.89)(0.85)(0.95)(1.07) = $10.18

Answer:

D

Step-by-step explanation:

The measure of angle B, m∠B, is 113° when angle A and B are supplementary, and applying the law of syllogism allows us to form the statement R→T: If the dog jumps in the lake, then it can't come in the house.

To find m∠B when angles A and B are supplementary and ∠A is given as 67°, we use the fact that supplementary angles add up to 180°.

Applying the law of syllogism to the given statements R→S and S→T allows us to form a new statement based on the logical relationship between the two.

Angles A and B are supplementary, which means they add up to 180°.

If ∠A is given as 67°, we can find m∠B by subtracting 67° from 180°:

m∠B = 180° - 67°

m∠B = 113°

Therefore, the measure of angle B, m∠B, is 113°.

The law of syllogism allows us to combine two conditional statements to form a new statement.

Given the statements:

R→S: If the dog jumps in the lake, then it gets wet.

S→T: If the dog gets wet, then it can't come in the house.

By applying the law of syllogism, we can form a new statement based on the logical relationship between R, S, and T:

R→T: If the dog jumps in the lake, then it can't come in the house.

This new statement is formed by chaining the conditions from the original statements, showing the logical implication that if the dog jumps in the lake (R), then it can't come in the house (T).

In summary, the measure of angle B, m∠B, is 113° when angle A and B are supplementary, and applying the law of syllogism allows us to form the statement R→T: If the dog jumps in the lake, then it can't come in the house.

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The measures of the angles are ∠1 = 127°, ∠2 = 53°, ∠3 = 127°, ∠4 = 37°, ∠5 = 53°, ∠6 = 90°, ∠7 = 37°, ∠8 = 143°, ∠9 = 37° and ∠10 = 143°

From the question, we have the following parameters that can be used in our computation:

The transversal lines and the other lines

So, we have

∠1 = 180 - 53

Evaluate

∠1 = 127°

Also, we have

∠5 = 53°

By vertical angles, we have

∠2 = 53°

∠3 = 127°

Next, we have

∠4 = 127 - 90°

∠4 = 37°

Solving further, we have

∠6 = 90°

By corresponding angles, we have

∠7 = 37°

∠9 = 180 - 90 - 53°

∠9 = 37°

∠10 = 90 + 53°

∠10 = 143°

∠8 = 143°

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a) This hypothesis test is that there is sufficient evidence, at a significance level of 0.01, to suggest that coyotes in the specified region tend to live longer than the average age of 1.75 years.

The level of significance in this hypothesis test is α = 0.1. The null hypothesis (H0) is that the population mean age of coyotes in the region is 1.75 years, while the alternative hypothesis (H1) is that the population mean age is less than 1.75 years.

The sampling distribution to be used in this case is the Student's t-distribution, since the sample size is relatively small (n = 51) and the population standard deviation (σ) is unknown.

The value of the sample test statistic can be calculated by using the formula: t = (x - μ) / (s / √n), where x is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size. The calculated value of the test statistic can then be compared to the critical value(s) from the t-distribution to find the p-value. The p-value represents the probability of observing a test statistic as extreme as the calculated value, assuming that the null hypothesis is true.

Based on the calculated p-value and the chosen level of significance, we can determine whether to reject or fail to reject the null hypothesis. If the p-value is less than α, we reject the null hypothesis and conclude that the data are statistically significant. In this case, the statement "At the α = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant" indicates that the data provide evidence to support the claim that coyotes in the specified region tend to live longer than 1.75 years.

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The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

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Answer:

Step-by-step explanation:

let the number be x

=7+x

=3(7+x)

=3(7+x)-2

13=3(7+x)-2

solving for  x we have

13=21+3x-2

21+3x-2-13=0

collect like terms we have

21-2-13+3x=0

6+3x=0

6=-3x

x=6/-3

x=-2

The answer is B

B. -2

Answer:

true if I jump from their then their will no chance to back

Answer: $22.68

Step-by-step explanation:

17.50 times 0.08 = 1.40

17.50 + 1.40 = 18.90

Now the tip:

18.90 times .2 = 3.78

18.90 + 3.78 = 22.68

Answer:

27.5!

Step-by-step explanation:

good luck on your test

Answer:

\({ \tt{ - \frac{3}{8} + \frac{1}{6} }} \\ { \bf{l.c.m \: of \: 8 \: and \: 6 = 24}} \\ { \tt{formular = \frac{(l.c.m \times denominator \div numerator)}{l.c.m} }} \ \\ \\ = \frac{(24 \times 8 \div - 3) + (24 \times6 \div 1)}{24} \\ = - \frac{5}{24} \)

Answer:

c)3/2(8/7)^x

Step-by-step explanation:

Evaluate the functions. 

1. Because 7/4 > 1 and the exponent is positive,

  the function does not decay.

2.Because 4/5 < 1 and the exponent is negative,

   the function does not decay.

3. Because 8/7 > 1 and the exponent is negative,

   the function decays.

4. Because 9/2 > 1 and the exponent is positive,

   the function does not decay.

A composite plot the functions verifies the answer.

If all the x's are exponents, then 3/2 (8/7)^-x is the only one that decays as x gets bigger.  That's because the base is greater than 1 and the x is negative.

please mark me brainliest :)

The only expression that is a decay function is f(x) = 2/3(4/5)^-x since 4/5 is less than 1

The standard form of an exponential equation is expressed as:

y = a(b)^x

where

a is the base

x is the exponent

b is the rate (determine whether the rate is growth or decay)

If the value of b is less than 1 then it is a decay function. The only expression that is a decay function is f(x) = 2/3(4/5)^-x since 4/5 is less than 1

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Answer:

Step-by-step explanation:

11:30-9:30=2

so Danielle starts 2 hrs late.

let Danielle catches them after x hrs.

x×60=(x+2)×20

divide by 20

3x=x+2

3x-x=2

2x=2

x=1

so Danielle takes 1 hour to catches them.

Answer: multiply both sides by 2

Answer:

Two intervals are 63 and 75

Step-by-step explanation:

Given:

Mean of students (μ) = 69 inches

Standard deviation (σ) = 3 inches μ

Find:

Interval of heights (95%) using empirical rule

Computation:

Interval of heights (95%) using empirical rule:

⇒ μ – 2σ = 69 - 2(3)

⇒ μ – 2σ = 69 - 6

⇒ μ – 2σ = 63

⇒ μ + 2σ = 69 + 2 (3)

⇒ μ + 2σ = 69 + 6

⇒ μ + 2σ =  75

Two intervals are 63 and 75

Answer: 65.5, 72.5

Step-by-step explanation:

The minimum value, Y_(1), from a random sample of Y_1, Y_2, ..., Y_n, where the probability density function is given by f_Y (y) = [ exp{− (y −c)}, if y>c] and 0 otherwise, is a consistent estimator of the parameter c.

To show that Y_(1) is a consistent estimator of the parameter c, we need to demonstrate that it converges in probability to c as the sample size, n, increases.

Since Y_(1) represents the minimum value of the sample, it can be written as Y_(1) = min{Y_1, Y_2, ..., Y_n}. For any given y > c, the probability that all n observations are greater than y is given by (1 - exp{− (y −c)}\()^n\). As n approaches infinity, this probability approaches 0.

Conversely, for y ≤ c, the probability that at least one observation is less than or equal to y is \()^n\). As n approaches infinity, this probability approaches 1.

Therefore, as the sample size increases, the probability that Y_(1) is less than or equal to c approaches 1, while the probability that Y_(1) is greater than c approaches 0. This demonstrates that Y_(1) converges in probability to c, making it a consistent estimator of the parameter c.

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Answer:

\(3n - 4 = - 2 + 2n \\ or \: 3n - 2n = - 2 + 4 \\ or \: n \: = + 2 \\ or \: n = 2 \\ therefore \: n = 2\)

Thank you ☺️ ☺️

Steps:

3n - 4 = -2 + 2n

-2n              -2n

n - 4 = -2

   +4    +4

n = 2

The groups found in the maps correspond to logical terms in the Boolean functions, and the reduced Boolean functions are derived by combining and simplifying these terms using the information provided by the maps. The maps serve as a visual aid in identifying the groups and their relationships, facilitating the simplification process and enabling the construction of optimized Boolean expressions.

1) The groups found in the maps are clusters of adjacent 1s or 0s in the truth table or Karnaugh map. These groups represent logical terms in the Boolean functions. In a Karnaugh map, the groups can be formed by combining adjacent cells horizontally or vertically, forming rectangles or squares. Each group corresponds to a term in the Boolean function.

2) The reduced Boolean functions derived from the maps are simplified expressions that represent the logical relationships between the input variables and the output. These reduced functions are obtained by combining and eliminating terms in the original Boolean functions. The maps help in identifying the groups and their corresponding terms, which can then be simplified using Boolean algebra rules such as absorption, simplification, and consensus.

The Karnaugh map is a graphical representation of a truth table that allows for visual analysis and simplification of Boolean functions. The map consists of cells representing all possible combinations of input variables, with the output values placed inside the cells. By examining the adjacent cells, groups of 1s or 0s can be identified. These groups represent logical terms in the Boolean functions.

To obtain the reduced Boolean functions, the identified groups are combined using Boolean algebra rules. Adjacent groups that differ by only one variable are merged to form larger groups. The resulting groups are then used to construct simplified Boolean expressions that represent the original functions. The simplification process involves eliminating redundant terms and applying Boolean algebraic rules such as absorption, simplification, and consensus.

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Answer:

2

Step-by-step explanation:

i took the quizz

The equation that represents the relationship in the table is y = x + 2.75.

To determine the equation that represents the relationship between the amount of money Jack earns, x, and the amount of money Julie earns, y, we need to identify the pattern in the data.

Looking at the given values, we can see that as Jack's earnings increase by $1.25, Julie's earnings increase by $1.25 as well.

This indicates a constant rate of change, or slope, between the two variables.

Using the point-slope form of a linear equation, we can write the equation as:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is any point on the line.

We can choose any point from the table, such as (87.50, 90.25), to substitute for (x1, y1).

The slope, m, is the change in y over the change in x, which is:

m = (91.50 - 90.25) / (88.75 - 87.50) = 1.25 / 1.25 = 1

Substituting the values into the point-slope form, we get:

y - 90.25 = 1(x - 87.50)

Simplifying, we get:

y - 90.25 = x - 87.50

y = x + 2.75.

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Answer:

5x + 8y = 24

Step-by-step explanation:

Multiply the equation 8

8 ( y = -5x/8 + 3 )

8y = -5x + 24

5x + 8y = 24

The hole will be of a radius of 7.63 inches when its perimeter is 48 inches.

The hole is in the form of a circle.

The perimeter of the circle = perimeter of the hole = 48 inches.

Let r be the radius of the vent,

The perimeter of the circle is known as the Circumference.

Circumference of the circle is given by \(2\pi r\)

So,

\(2\pi r = 48\\\\2*\frac{22}{7} *r =48\\\\r =\frac{48*7}{22*2} =7.63\)

The hole will be of a radius of 7.63 inches.

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Answer:

3 apples

boom. brainliest

After substituting the given coordinate in the flux equation, the resulting flux dΦ through the patch can be expressed in terms of dA as dΦ = E⋅dA⋅cosθ

Here, E represents the electric field intensity, dA is the area of the patch, and cosθ is the angle between the normal vector of the patch and the electric field lines passing through it.The term dA represents the differential area of the patch and is used to calculate the total flux through the entire surface by integrating over the entire area. This integration process adds up the contributions of all the small patches of the surface.

Therefore, the flux through any small patch of the surface can be calculated using the above equation by substituting the appropriate values of E, dA, and cosθ. This formula is particularly useful in calculating the flux through curved surfaces or irregularly shaped patches.In summary, after substituting the given coordinate, the flux dΦ through the patch can be expressed in terms of dA using the formula dΦ = E⋅dA⋅cosθ, which helps in determining the total flux through the entire surface.

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∠1 and ∠2 are right angles because the measure of both angles is 90 and supplementary angles because the sum of both angles is 180°.

Triangle is a polygon that has three sides and three angles and the sum of the angle of the triangle is 180 degrees.

The figure is attached in the picture, please refer to the attached picture.

Given that:

An Angle in the figure is a right angle.

Its measure = 90°

So,∠2 = 90° ( vertically opposite angles are equal )

∠1 + ∠2 = 180° ( Linear Pair )

∠1 = 180 - 90

∠1 = 90°

∠1 = ∠2 = 90°

So, ∠1 and ∠2 are right angles because measure of both angles is 90°.

Adjacent angles because both a common arm and a common vertex.

Thus, ∠1 and ∠2 are right angles because the measure of both angles is 90 and supplementary angles because the sum of both angles is 180°.

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Answer:

Slope = 0

Step-by-step explanation:

Let's use the equation \(\frac{y2 - y1}{x2 - x1}\) for this problem.

We have two points: (2,0) and (-2, 0)

Let's plug them both into the equation shown above.

\(\frac{0 - 0}{-2 - 2}\)

Solve.

0 - 0 = 0

-2 - 2 = -4

\(\frac{0}{-4}\) = \(-\frac{0}{4}\) = 0

A zero in the numerator means this equation has a slope of 0.

Any line with a slope of 0 is a horizontal line.

Slope (rate of change) = 0

The approximate margin of error for the approval rating estimate would be 0.025, or 2.5%.

In the given scenario, a poll of 2,277 likely voters was conducted on the president's performance.

The question asks for the approximate margin of error that the approval rating estimate would have using the conservative method and a 90% confidence level.In order to calculate the margin of error, the formula is:

M = Zα/2 * √p(1-p)/n

where M is the margin of error, Zα/2 is the z-score corresponding to the given level of confidence, p is the proportion of likely voters who approve of the president, and n is the sample size.

The conservative method assumes that the proportion of voters who approve of the president is 0.5, which means that p = 0.5.

The z-score corresponding to a 90% confidence level is 1.645.

Plugging in these values, we get:

M = 1.645 * √(0.5)(1-0.5)/2277

M ≈ 0.025

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