Help me please im so confused ????

Given: Distance between Emily and Emerson = 1/2 mileSpeed of Emily = 12 miles per hourSpeed of Emerson = 8 miles per hourTo find:For how many minutes can Emily see Emerson?

As per the question,After she passes him, she can see him in her rear mirror until he is 1/2 mile behind her.Since the distance between Emily and Emerson is 1/2 mile.Distance travelled by Emerson to reach behind Emily = 1/2 mileDistance travelled by Emily in the same time = Distance travelled by EmersonTo find the time taken by Emerson, we will use the formula:Time = Distance / SpeedDistance = 1/2 mileSpeed = 8 miles per hourTime taken by Emerson = Distance / Speed= (1/2) / 8= 1/16 hours

Now, let's calculate the distance traveled by Emily in the same time.Distance = Speed × Time= 12 × (1/16)= 3/4 mileThus, Emily can see Emerson for the time taken by Emerson to cover the distance of 3/4 mile. Time taken by Emerson to cover the distance of 3/4 mile= Distance / Speed= (3/4) / 8= 3/32 hours= (3/32) × 60 minutes= 5.62 minutesSo, Emily can see Emerson for 5.62 minutes. Therefore, the main answer is 5.62 minutes.

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Answer:

Its B

Step-by-step explanation:

No of teachers in the school = 5

Salaries they make =40000 to 70000

When one of the five teachers reduce salary to 20000/- per year, median may or may not shift one number to the left

Mean will definitely decrease by difference/5 = 4000 dollars

Thus mean will defintely change by reduction of 4000 dollars.

Median has a chance to remain the same or may shift left side one item.

No . of girls in Ms. Jeffry's environmental club = 6

No . of boys in Ms. Jeffry's environmental club = 12

To find the maximum number of groups she can make , we have to find the highest common factor ( HCF ) of the number of boys and girls in her club .

Factors of 6 = 1 , 2 , 3 and 6

Factors of 12 = 2 , 3 , 4 , 6 and 12

Hence the highest common factor of 6 and 12 are 6 .

Therefore , the maximum number of groups Ms . Jeffry can make where the number of girls and boys are same are 6 .

Answer:

Yes there is a proportional relationship.

Step-by-step explanation:

You divide 32 by 1/2 = 64

1 gallon = 32 2 gallons =64

16 gallon times 2 = 32

it all equals together.

Mark me brainllest

we are given data on bear transplants in Glacier National Park over a 10-year period and are asked to calculate probabilities related to the bears' characteristics and outcomes.

a) To find the probability of selecting a male bear that became a nuisance after relocation, we divide the number of male bears that became nuisances by the total number of bears in the sample.

b) To find the probability of selecting a female bear or a bear that was successfully transplanted, we add the number of female bears to the number of successfully transplanted bears and divide by the total number of bears in the sample.

c) To find the probability of a randomly selected bear being a female and returning to the capture area, we divide the number of female bears that returned to the capture area by the total number of female bears in the sample.

d) To find the probability of a randomly selected male bear being enough of a nuisance to be transplanted, we multiply the proportion of nuisance bears that are male by the overall proportion of bears that become nuisances.

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Answer:

The objects of a set are called its elements. If a set has no elements, it is called the empty set and is denoted by ∅.

Step-by-step explanation:

Could I have branliest and heart please

Have a good day.

The probability the mean age at heart attack after using cocaine is greater than 42 is 0.9192. Hence, the correct option is D. 0.9192.

The standard deviation of the age of people who suffered heart attacks soon after using cocaine was 10 years. In a random sample of size 49, what is the probability the mean age at heart attack after using cocaine is greater than 42?We are given the following details:

The mean age of people in the study who suffered heart attacks soon after using cocaine was only 44.

Standard deviation = 10

Sample size = 49

Now we need to find the z-score using the formula:

z = (x - μ) / (σ / √n)

wherez is the z-score

x is the value to be standardized

μ is the mean

σ is the standard deviation

n is the sample size.

Substitute the values in the formula as given,

z = (42 - 44) / (10 / √49)z = -2 / (10/7)

z = -1.4

Probability of z > -1.4 can be found using the standard normal distribution table or calculator.

P(z > -1.4) = 0.9192

Therefore, the probability the mean age at heart attack after using cocaine is greater than 42 is 0.9192. Hence, the correct option is D. 0.9192.

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The IQR measures the spread of the middle 50% of the data.

Without knowing the actual values of the fuel economy ratings or the summary statistics, we cannot provide an exact answer. However, we can make some general observations about the effects of removing an extreme outlier on the standard deviation and the interquartile range (IQR).

First, the standard deviation measures the spread of the data around the mean. Removing an extreme outlier that is far from the mean could potentially decrease the standard deviation, as the remaining values may be more tightly clustered around the mean. However, the effect on the standard deviation will depend on the exact values of the data points and how much they vary from the mean.

Second, the IQR measures the spread of the middle 50% of the data. Removing an extreme outlier that is far from the bulk of the data may not have a significant effect on the IQR, as the remaining.

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An assumption made about the value of a population parameter is called a hypothesis.

What is null hypothesis?

In inferential statistics, the null hypothesis is that 2 possibilities are an equivalent. The null hypothesis is that the determined distinction is because of likelihood alone. mistreatment applied mathematics tests, it's doable to calculate the chance that the null hypothesis is true.

Main Body:

As we need to make an assumption about population , it could be done by using a hypothesis test. so , the incorrect options are identified below:

The confidence, significance and normal curve cannot be used to make the assumptions about the value of a population parameter.

Hence , An assumption made about the value of a population parameter is called a hypothesis.

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100% humidity is very common in many coastal zones, near rivers or   lakes or in your bathroom when you take a shower, and possibly in  Alaska as well as UAE.

Relative humidity:

                             Relative humidity is the ratio of the current absolute humidity to the highest possible absolute humidity (which depends on the current air temperature). A reading of 100 % relative humidity means that the air is totally saturated with water vapor and cannot hold any more, creating the possibility of rain. This doesn't mean that the relative humidity must be 100 percent in order for it to rain — it must be 100 percent where the clouds are forming, but the relative humidity near the ground could be much less.

0% humidity means there is an absence of water vapor in the air.

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Answer: A

Step-by-step explanation:

A. Cleaning windows more often is associated with vacuuming more often. This relationship most likely reflects correlation but not causation because it is possible that these two activities are related, but not necessarily because one causes the other. For example, it is possible that the increased frequency of vacuuming is unrelated to the increased frequency of window cleaning and is actually due to other factors such as the amount of time spent at home.

The statement 'A. Cleaning windows more often is associated with vacuuming more often' most likely represents correlation but not causation, as one activity does not necessarily lead to the other.

The statement 'A. Cleaning windows more often is associated with vacuuming more often' most likely reflects a correlation but not causation. This implies that although the two activities may happen together, one does not necessarily cause the other. For instance, a person could clean the windows without necessarily vacuuming more often.

Whereas, in option B and C, having more dogs and hosting dinner parties could possibly lead to vacuuming more often due to increased dirtiness and cleanliness needs, thus indicating a probable causation.

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The appropriate test statistic and P-value are (c) 1.896, 0.065. This is because the t-test output shows that the calculated t-statistic is 1.896 with * d.f.

The alternative hypothesis (HA) is that the mean number of larvae per stem for the control group (not spray) is greater than the mean number of larvae per stem for the treatment group (spray).

The P-value for this test is 0.065, which is greater than 0.05, the commonly used threshold for statistical significance. Therefore, we cannot reject the null hypothesis (H0) that there is no difference between the mean number of larvae per stem for the control group and the treatment group.

The appropriate test statistic and P-value are:

(d) 1.887, 0.059

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Answer: 2/3

Step-by-step explanation:

Number of red cubes = 2

Number of green cubes = 1

Total cubes in the bag = 3

The question relates to a probability with replacement. The probability of getting two reds will be the probability of picking red the first time multiplied by the probability of picking red the second time. This will be:

= 2/3 × 2/3

= 2/3

The pair of equal trigonometric ratios among the given options is tan A and tan B.

To identify the pair of equal trigonometric ratios among the given options, we have to use the basic identities of trigonometry.

Basic identities of trigonometry:1. sin² θ + cos² θ = 1 (Pythagorean identity)2. tan θ = sin θ/cos θ3. cot θ = cos θ/sin θ4. sec θ = 1/cos θ5. cosec θ = 1/sin θ.

Now, let's check the given options,I. sin A and cos B: Not equal because sin is opposite/hypotenuse and cos is adjacent/hypotenuse in a right-angled triangle.II. tan A and tan B:

Equal because the tan is opposite/adjacent in a right-angled triangle. III. cosec A and sec B: Not equal because cosec is hypotenuse/opposite and sec is hypotenuse/adjacent in a right-angled triangle.

Therefore, the correct answer is (B) II only. Hence, the main answer is B. II only.

The pair of equal trigonometric ratios among the given options is tan A and tan B.

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L is the point, which is the center of a circle that contains R, S, and T

What is perpendicular bisector ?

A line segment that bisects another line segment at a 90° angle is known as a perpendicular bisector. In other terms, a perpendicular bisector separates a line segment into two equal halves by intersecting it at a 90° angle.

According to question

Line drawn to RS from point L is (90°)Perpendicular and also bisect it

which means the line is perpendicular bisector.

also

Line drawn to ST from point L is (90°)Perpendicular and also bisect it

which means the line is perpendicular bisector.

We know that

Any point on a perpendicular bisector will be equidistant to (the same distance from) the ends of the line segment it bisects.

Hence, L is the center of a circle that contains R, S, and T.

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Answer:

Step-by-step explanation:

Binomial distribution:  \(X \sim B(n,p)\)

where n is the number and p is the probability

Given:

\(X \sim B(12,0.8)\)

P(X ≥ 10) = 1 - P(X ≤ 9)

              = 1 - 0.4416542515...

              = 0.5583 (4 dp)

Answer:

Answer is A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer is C because if swimmer A does 14 laps to start an 3 laps every day after that and on the chart swimmer B does 11 laps to start and 2 laps every day after that you would compare.

on day 3 swimmer B has 17 (shown on chart)

on day 3 swimmer A has 23 (14, 17, 20, 23)

if you would want it to complicate it 14:3 and 11:2

14 ÷ 14 is 1

3 ÷ 14 is .214

11 ÷ 11 is 1

2 ÷ 11 is .181

The maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

Acceleration is directly proportional to the force acting on an object. In simple terms, if the force on an object is greater, then it will undergo more acceleration. However, there are limitations to the acceleration that can be tolerated by the human body. At about 5 g (49.0 m/s2) for more than a few seconds, an average person starts to lose consciousness. Let's use this information to answer the given question.

Let the maximum burn rate |ΔM/Δt| that the engine could reach before the ship's acceleration exceeded 5 g be x.

Let the mass of the spaceship be m and the exhaust speed of the engine be v.

Using the formula for the thrust of a rocket,

T = (mv)e

After substituting the given values into the formula for thrust, we get:

T = (3.00 × 104)(2.50 × 103) = 7.50 × 107 N

Therefore, the acceleration produced by the engine, a is given by the formula below:

F = ma

Therefore,

a = F/m= 7.50 × 107/3.00 × 104= 2.50 × 103 m/s²

The maximum burn rate that the engine could reach before the ship's acceleration exceeded 5 g is equal to the acceleration that would be produced by a maximum burn rate. Therefore,

x = a/5g= 2.50 × 103/(5 × 9.8)≈ 51.0 kg/s

Therefore, the maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

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The value of the fraction 7/15 * (9/-28) is - 3/20.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

On the other hand, a fraction appears in the numerator or the denominator of a complex fraction. The value will be:

= 7/15 * (9/-28)

= -63 / 420

= -3/20

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The red arc corresponds to a central angle of 15 degrees.

What is angle ?

In mathematics, an angle is a measure of the amount of turn between two intersecting lines, line segments, or rays. Angles are typically measured in degrees, radians, or gradians, and are used to describe the relative position and orientation of objects in space.

In a two-dimensional plane, an angle is formed by two intersecting lines or line segments that share a common endpoint, called the vertex of the angle. The two lines or segments are called the arms or sides of the angle. The angle is usually denoted by a symbol, such as ∠ABC or ∠PQR, where the vertex is labeled with the middle letter.

The size of an angle is usually measured in degrees, with a full rotation of 360 degrees corresponding to a complete turn. In radians, a full rotation corresponds to 2π radians, and in gradians, a full rotation corresponds to 400 gradians.

According to the question:
We know that the sum of the angle measures in a circle is 360 degrees. Therefore, we can set up an equation using the given angle measures:

RS + ST + TQ + QR = 360

Substituting the given angle measures:

4x + 6x + 7x + 7x = 360

Simplifying and solving for x:

24x = 360

x = 15

Now we can find the measure of the red arc by finding the central angle that corresponds to it. The red arc corresponds to the arc between points R and T, which subtends an angle of STQ.

Using the angle measures we found:

STQ = TQ - ST = 7x - 6x = x

Substituting x = 15:

STQ = 15

Therefore, the red arc corresponds to a central angle of 15 degrees.


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The remaining chocolate slices is 1/12th and the remaining vanilla slices are 1/24th. so the remaining vanilla cake is double of the remaining chocolate cake. here the concept of fraction word problem is used.

There was 1/4th of the chocolate cake left over and there was 3/8th of the vanilla cake left over. Steven divided the remaining chocolate cake into 3 equal slices and the remaining vanilla cake into 9 equal slices.

For the chocolate cake,

Chocolate Cake Remaining 1/4 is divided by 3

            = (1 /4) / 3 = 1 / (4x3) = 1/12

For the Vanilla Cake, Remaining 3/8 is divided by 9

            = (3/8) / 9 = 3 /(8 x 9 ) = 3 / 72 = 1 /24

so from this we conclude that the remaining chocolate slices are twice the size of the remaining vanilla slices because 1/24th Vanilla is half of 1/12th Chocolate. Here the concept of Fraction word problem is used. In word problems on fraction we will solve different types of problems on multiplication of fractional numbers and division of fractional numbers.

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Answer:

19/18

Step-by-step explanation:

ii put it inna calculator

Answer:

We know there are two numbers, one smaller than the other. Let's call the smaller number x, and the larger number y.

Now let's translate each statement into an equation.

"One number is 4 more than another."

This means the larger number is 4 more than the smaller number. We can represent that as:

x + 4 = y

"Four times the smaller is equal to 3 times the larger increased by 1."

Since we know the smaller number is x, the left side of this equation is 4x. For the right side of the equation, we have 3y increased by 1, which is 3y+1. Putting this together:

4x = 3y + 1

Now we have a system of 2 equations to solve:

x + 4 = y

4x = 3y + 1

We can first solve for x by plugging in the first equation into the second equation:

4x = 3(x + 4) + 1

4x = 3x + 12 + 1

4x = 3x + 13

x = 13

Now we can plug x = 13 back into x + 4 = y:

(13) + 4 = y

17 = y

So the final answer is:

x = 13

y = 17

Step-by-step explanation:

The quadratic function that fits the given data points squares is f(t) = 1 - 4t + 3t².

To fit a quadratic function of the form f(t) = C0 + C1t + C2t² to the given data points using least squares, to find the values of the coefficients C0, C1, and C2 that minimize the sum of the squared residuals.

The given data points as (t-1, y-1), (t-2, y-2), (t-3, y-3), and (t-4, y-4)

(0, 1), (1, 2), (2, -9), (3, -12)

Our goal is to find the coefficients C0, C1, and C2 that minimize the following objective function

E = Σ(y-i - f(t-i))²

where Σ represents the sum over all data points.

point (0, 1):

C0 + C1(0) + C2(0²) = 1

C0 = 1

For the data point (1, 2)

C0 + C1(1) + C2(1²) = 2

C0 + C1 + C2 = 2

For the data point (2, -9)

C0 + C1(2) + C2(2²) = -9

C0 + 2C1 + 4C2 = -9

For the data point (3, -12)

C0 + C1(3) + C2(3²  ) = -12

C0 + 3C1 + 9C2 = -12

A system of three equations with three unknowns (C0, C1, and C2). solve this system of equations

To find the coefficients. Using the first equation, C0 = 1.

Substituting this into the second equation,

1 + C1 + C2 = 2

C1 + C2 = 1

Substituting C0 = 1 into the third equation,

1 + 2C1 + 4C2 = -9

2C1 + 4C2 = -10

C1 + 2C2 = -5

A system of two equations with two unknowns (C1 and C2).This system of equations to find the remaining coefficients.

Solving the system of equations, C1 = -4 and C2 = 3.

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Answer:

Did you drop the soap again?

Step-by-step explanation:

Please tell me you did big boy

Answer:

31.40 inches

Step-by-step explanation:

The circle has a radius of 5 inches (as the radius is drawn from the center to the point labeled 5 inches).

Pi (π) = 3.14

Circumference = 2 * pi * Radius

Substitute the radius of 5 inches: Circumference = 2 * 3.14 * 5

= 31.40 inches

So the circumference of the full circle is 31.40 inches.

The other options do not match the given radius of 5 inches and the formula for circumference.

Hence, the correct option is:

31.40 inches

Answer:

128

Step-by-step explanation: