Assume that student waiting times at bus stops are uniformly distributed between 12 and 28 minutes. What is the probability that a randomly selected student has a waiting time between 20 and 25 minutes? Round to 3 decimal places. a. 0.500 b. 0.313 c. 0.188 d. 0.200

Answer: as per question statement

we need to set up an equation first

p(t)=1200e(0.052*t)

they have given that it is relative to 1200 that means it starts to increase from 1200 at t=0 initially 1200 bacteria were present

we need to find population at t=6

we need to plug t=6 in p(t).

P(6)=1200e(0.052*6)=1639.38

1638.38 bacteria were present at that time t=6

Step-by-step explanation: I hope this helps.

Answer:

You will need 32 ounces

Step-by-step explanation:

2 pounds x 16 = 32 ounces

300 cal / 3 oz = x / 32 oz

(300 * 32) / 3 = 3,200 calories

the answer is that there are 7 rounds of calls in the phone chain.

To determine the number of rounds of calls in the phone chain, we need to find out how many staff members are reached in each round until all 94 staff members have been notified. Since every staff member calls two other staff members, the number of staff members reached doubles with each round.

In the first round, the superintendent calls both principals, reaching 2 staff members. In the second round, the principals each call two staff members, reaching a total of 4 staff members. In the third round, those 4 staff members each call two more staff members, reaching a total of 8 staff members. This pattern continues, doubling the number of staff members reached in each round.

Based on this doubling pattern, we can calculate the number of rounds needed by finding the exponent to which 2 must be raised to reach or exceed the total number of staff members (94).

2^x ≥ 94

By trial and error or using logarithms, we find that 2^7 = 128, which is greater than 94, and 2^6 = 64, which is less than 94. Therefore, it takes 7 rounds of calls to reach or exceed all 94 staff members.

Therefore, the answer is that there are 7 rounds of calls in the phone chain.

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Answer:

1. x = 24

2. x = 31

Step-by-step explanation:

For number 1, 3x - 1 = 71 because opposite angles are congruent. Solving that gives us x = 24.

For number 2,  2x + 4x - 6 = 180, because they lie on the same line and a straight line is 180 degrees. Solving that gives you 6x - 6 = 180, x = 31 degrees.

Answer:

1. 24

2. 31

Step-by-step explanation:

1. opposite angles are equal

( 3x-1)°=71°

3x=72

x=24

2. remember opposite angles are equal,

180°= (2x)°+(4x-6)°

186=6x

x=31

The correct statements about the PACF plot and partial autocorrelations are:

b. The PACF plot starts at Lag 1.

The PACF plot starts at Lag 1. The first value in the PACF plot represents the partial autocorrelation at Lag 1.

c. The partial autocorrelation at lag 1 is the same as the autocorrelation at lag 1.

The partial autocorrelation at lag 1 is the same as the autocorrelation at lag 1. This is because the partial autocorrelation at Lag 1 measures the correlation between the variable and its lag 1 value, which is equivalent to the autocorrelation at Lag 1.

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Let us make the line from the picture, pointing the given equations:

From the draw and the given equations, we note that:

Therefore, we can solve the equation for y as follows

Where in the last line, we add the similar terms, for example 3y+4y=7y. Let us continue the calculations

where in the second line of the equation above, we pass the 12 from the right to the left with opposite sign. We discover y as follows

That is, we have y=6.

Let us now calculate the value of RD an RT. We know from the question that

as we discover that y=6, substituting this value in the equations above we find:

We conclude that RS=27 and ST =27 .

The concept is Data Analysis,  which is the process of totally applying statistical tools to dissect data. The answer is options B, C, and D.

To help you consider data limitations, critically dissect correlations, examine the environment, and understand tool strengths and sins. Data analysis applies statistical and/ or logical ways to describe, illustrate, epitomize, and estimate data.

Data analysis helps individualities and associations make sense of data. Data analysts typically analyze raw data for insights and trends.

Limitations include:

Question

You're preparing a question-and-answer session that will follow your donation. Which styles help you to consider data limitations? elect everything that suits you.

A) exclude the outliers

B) Understand the strengths and sins of the tools

C) Critically dissect the correlations

D) Look at the environment

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The area of the regular hexagon is 24√3 square centimeter. Therefore, the correct answer is option B.

From the given regular hexagon, we have a = 2√3 cm and s = 4 cm.

We know that, area of a hexagon = 1/2 ×Apothem × Perimeter of hexagon

= 1/2 ×2√3×(6×4)

= 24√3 square centimeter

Therefore, the correct answer is option B.

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Answer:

The system of linear equations can be used to determine the number of pounds of each dried fruit in the mixture is:

p + c = 6....... Equation 1

4p + 5c = 4.40(6)....... Equation 2

Step-by-step explanation:

A health food store sells dried peaches (p) for $4 per pound and dried cherries (c) for $5 per pound. A six pound mixture of the two dried fruits cells for $4.40 per pound. Which system of linear equations can be used to determine the number of pounds of each dried fruit in the mixture?

Let the number of pounds of dried peaches = p

the number of pounds of dried cherries = c

We are told: health food store sells dried peaches (p) for $4 per pound and dried cherries (c) for $5 per pound. A six pound mixture of the two dried fruits cells for $4.40 per pound.

Hence: The system of equations is given as:

p + c = 6...... Equation 1

$4× p + $5 × c = $4.40(6)

4p + 5c = 26.4.......Equation 2

Statement 1: Some cats like turkey, the form is I, the subject class is Cats, and the predicate class is Turkey, statement 2: There are burglars coming in the window, the form is E, the subject class is Burglars, and the predicate class is Not coming in the window and statement 3: Everyone will be robbed, the form is A, the subject class is Everyone, and the predicate class is Being robbed.

The given categorical propositions and their forms are as follows:

(1) Some cats like turkey - Form: I:

Subject class: Cats,

Predicate class: Turkey

(2) There are burglars coming in the window - Form: E:

Subject class: Burglars,

Predicate class: Not coming in the window

(3) Everyone will be robbed - Form: A:

Subject class: Everyone,

Predicate class: Being robbed

In the first statement:

Some cats like turkey, the form is I, the subject class is Cats, and the predicate class is Turkey.

In the second statement:

There are burglars coming in the window, the form is E, the subject class is Burglars, and the predicate class is Not coming in the window.

In the third statement:

Everyone will be robbed, the form is A, the subject class is Everyone, and the predicate class is Being robbed.

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The sum of the measures of angle A and angle B is 90 degrees. To determine the value of x, we need to set up an equation based on the given information.

Angle A is given as (5x + 10) degrees, and angle B is given as 3x degrees.

According to the problem, the sum of angle A and angle B is 90 degrees. We can write this as an equation:

(5x + 10) + 3x = 90

Combining like terms, we have:

8x + 10 = 90

Subtracting 10 from both sides:

8x = 80

Dividing both sides by 8:

x = 10

Therefore, the value of x is 10.

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Answer:

You have to know the order or which side is the con-sin etc

Step-by-step explanation:

Answer:

$3.28

Step-by-step explanation:

→ Find how much he should pay

6.72

→ Subtract from original amount

10.00 - 6.72 = 3.28

Answer:

\( \boxed{\sf Surface \ area \ of \ a \ solid \ sphere = 616 \ cm^{2}} \)

Given:

Diameter of a solid sphere = 14 cm

To Find:

Surface area of a solid sphere

Step-by-step explanation:

\(\sf Radius \: (r) = \frac{Diameter}{2} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \ \ \ \ = \frac{14}{2} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \ \ \ \ = 7 \: cm\)

\(\sf Surface \ area \ of \ solid \ sphere = 4\pi r^{2} \\ \\ \sf \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 4 \times \frac{22}{7} \times {(7)}^{2} \\ \\ \sf \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 4 \times \frac{22}{ \cancel{7}} \times \cancel{7} \times 7 \\ \\ \sf \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 4 \times 22 \times 7 \\ \\ \sf \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 88 \times 7 \\ \\ \sf \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 616 \: {cm}^{2} \)

The total number of students in the sample who visited campus bars on the weekend before the final exam week is an example of a discrete random variable.

Discrete Random Variable: A discrete random variable is a statistical variable that takes a finite or countable number of values. For instance, the number of cars on a street, the number of people in a movie theatre, and the number of students in a class are all examples of discrete random variables. For example, the total number of students in the sample who visited campus bars on the weekend before the final exam week can take a finite set of values from 0 to 250, making it a discrete random variable.

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Answer:

f(g(x)) = x^2 - 14x + 53

Step-by-step explanation:

f(g(x)) = (x-7)^2 + 4 = x^2 - 14x + 53

Answer:3

Step-by-step explanation: We see that 217361.05 =217000+361.05 so our answer is 3

To find the value of z for a 95% confidence level, we can use a z-score table or a calculator. The z-score corresponding to a 95% confidence level is 1.96.

To determine the sample size, we can use the formula:

n = (z^2 * s^2) / E^2

where:
n = sample size
z = z-score (1.96 for 95% confidence level)
s = estimated standard deviation (3 cards)
E = margin of error (1 card)

Plugging in the values, we get:

n = (1.96^2 * 3^2) / 1^2
n = 34.56

We need to round up to the nearest whole number, so the sample size should be 35 people. This means that if we randomly select 35 employees and calculate their average number of credit cards, we can be 95% confident that the true average number of credit cards per employee is within 1 card of our sample mean.
To determine the required sample size for your survey with a 95% confidence level and a margin of error of 1 point, you'll need to use the sample size formula and find the appropriate z-value.

The sample size formula is: n = (z^2 * σ^2) / E^2

Where:
- n is the sample size
- z is the z-value corresponding to the desired confidence level (95% in this case)
- σ is the estimated standard deviation of the population (3 credit cards per employee)
- E is the margin of error (1 point)

For a 95% confidence level, the z-value is approximately 1.96. You can find this value using a z-table or an online calculator.

Now, plug the values into the formula:

n = (1.96^2 * 3^2) / 1^2
n = (3.8416 * 9) / 1
n ≈ 34.5744

Since you cannot survey a fraction of a person, round up to the nearest whole number. Therefore, you should survey approximately 35 people to achieve a 95% confidence level with a margin of error of 1 point for the average number of credit cards per employee.

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Answer:

5.1

Step-by-step explanation:

A rational number is any number that can be written as a fraction, or is a decimal that terminates or repeats.

Answer:

10^4

Step-by-step explanation:

10×10×10×10=10,000, which is given number.

Answer:

6x - 14= 5

Step by Step

Let the cost of one milky way be 'x'

Given -

Initial Amount of money= $14

Final Amount of money= $5

Number of Milky Way= 6

Cost of 6 Milky Ways = 6x

Answer-

6x -14= 5

6x = 5+14

6x = 19

x =$3.1

Answer:

8.12857143

Step-by-step explanation:

Answer:

3 = 14 and 4 = 8

Step-by-step explanation:

The reason as to why this is, is because of the line going down the middle. If you were to open one of the lengths as a door starting from the middle line it would fit perfectly with the top one.

Answer:

Games to make? or play? If play then I suggest age of empires 2 DE, the games insane

Step-by-step explanation:

Answer:

x > 3/2

Step-by-step explanation:

Answer: x > 1.5

Step-by-step explanation:

Subtract 4 to both sides, which would give you:

3x - 7x < 10 - 12 + 4

Next, solve 3x - 7x, which would give you:

-4x < 10 - 12 - 4

After that, add 10, -12, and -4, which gives you:

-4x < -6

Finally, divide -4 from both sides, which would give you:

x > 1.5

To prove that lines l and m are parallel, we need the information that the corresponding angles formed by the intersecting lines satisfy certain relationships. In this case, if the given conditions are true: <1 + <m = 180°, <5 = <m, <8m = <6 + <m, and <3 = 180° - <m, then we can conclude that lines l and m are parallel.

To determine if lines l and m are parallel, we need to examine the angles formed by the intersecting lines. The given conditions state that <1 + <m = 180°, <5 = <m, <8m = <6 + <m, and <3 = 180° - <m.

If we consider the angles formed by the intersection of lines l and m, we can see that <1 + <m = 180° implies that <1 and <m are supplementary angles. Similarly, <5 = <m indicates that <5 and <m are equal.

Furthermore, <8m = <6 + <m implies that <8m and <6 have a relationship with <m. Finally, <3 = 180° - <m indicates that <3 and <m are also supplementary angles.

Based on these relationships, if the given conditions are true, we can conclude that lines l and m are parallel. This is because the corresponding angles formed by the intersecting lines satisfy the necessary conditions for parallel lines.

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The highest common factor (HCF) of the given polynomials is (x + 2).

To find the highest common factor (HCF) of the given polynomials, we need to factorize each polynomial and identify the common factors.

Polynomial: 2x + 4

This polynomial can be factored out by taking out the common factor of 2:

2(x + 2)

Polynomial: x^2 - 4

This is a difference of squares, which can be factorized as:

(x + 2)(x - 2)

Polynomial: x^2 - x - 6

To factorize this polynomial, we need to find two numbers that multiply to give -6 and add up to -1 (coefficient of x). The numbers are -3 and 2, so we can rewrite the polynomial as:

(x - 3)(x + 2)

Now, we can compare the factors of the three polynomials to determine the HCF. We identify the common factors by taking the minimum power of each common factor:

Common factors:

(x + 2)

Hence, the highest common factor (HCF) of the given polynomials is (x + 2).

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Complete question:

Find HCF - 2x + 4, x^2 - 4, x^2 - x - 6

The required area of the circle is 50.24cm².

All points in a plane that are at a specific distance from a specific point, the center, form a circle.

In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.

So, we have the circumference:

8π

Now, calculate for π as follows using the circumference formula (2πr):

8π = 2πr

8π/2π = r

4 = r

Now, calculate the area when r = 4cm (πr²) as follows:

πr²

π(4)²

16π

50.24

Therefore, the required area of the circle is 50.24cm².

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Complete question:
The circumference of a circle is 8π cm. what is the area in square centimeters?