What is this supposed to mean!?!?!?!?

The probability that a randomly selected customer will arrive less than 5 minutes after the previous customer is 0.177

The answer is B. 0.1776.

To solve this problem, we need to convert the rate given in customers per hour to minutes. Since there are 60 minutes in an hour, the rate is 15/60 = 0.25 customers per minute.

Let X be the time (in minutes) between two consecutive arrivals. We are given that X follows the exponential distribution with a rate parameter of λ = 0.25.

To find the probability that a randomly selected customer will arrive less than 5 minutes after the previous customer, we need to find P(X < 5). Using the exponential distribution formula, we have:

P(X < 5) = 1 - e^(-0.25*5) = 1 - e^(-1.25) ≈ 0.1776

Therefore, the probability that a randomly selected customer will arrive less than 5 minutes after the previous customer is 0.1776, which corresponds to option B.

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--The question is incomplete, answering to the question below--

"During the 3 pm to 5 pm time period, cars arrive at a bank's drive-through window at an average rate of 15 customers per hour. assume that the time between arrivals follows the exponential distribution. what is the probability that a randomly selected customer will arrive less than 5 minutes after the previous customer?

A. 0.0660

B. 0.1776

C. 0.2395

D. 0.3834"

Answer:

(0, 2)

Step-by-step explanation:

The solution to the system based on the graph is (0, 2)

Reason: Lines are intersecting at point (0, 2) which satisfy the given equations.

From Newton’s Second Law of Motion, the force needed to accelerate a moving object of mass m at acceleration a is given by ;

F = ma

In this case, m = 5kg, a = 6m/s^2 and we want to find F

F = 5 x 6

F = 30N

Therefore, a force of 30N is needed to accelerate a 5kg object at 6m/s^2.

Let's write the ration as a fraction:

1 cm to 1.5 cm

Ratio : 1/1.5 but we need to write it without decimals,

1/1.5 = 2/3 (multiplying by 2 numerator and denominator)

K, the correct answer is 2/3

Answer:

Step-by-step explanation:Price per pound of strawberries is $-0.31635 and blueberries is $0.6836.

Explanation :

Given data ;

Weight of strawberries required for dessert = 212 lb

Weight of blueberries required for dessert = 112 lb

Total cost spent = $9.50

Let,

Cost of blueberries per pound =x

Cost of strawberries per pound = (x-1)

We know that,

Cost of blueberries for overall weight + Cost of strawberries for overall weight = Total cost spent on fruits.

x(112) + (x-1)212 = 9.50

112x + 212x – 212 = 9.50

324x = 221.5

X = 221.5/324

X = $0.6836

So, (x-1) = $-0.31635

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Price per pound of strawberries is $0.02476 and the price per pound of blueberries is $0.03794

Given that ;

Ben is making a dessert that requires 212 lbs of strawberries and 112 lbs of blueberries. Strawberries cost $1 less per pound than blueberries. Ben spent a total of $9.50 on the fruit.

So according to the question get the price per pound of each type of fruit;

Let ' x ' be the price per pound of strawberries and ' y ' be the price per pound of blueberries.

By assuming the following equations;

212x - 112y = 1 → ( I )

212x + 112y = 9.5 → ( II )

By solving above equations ( I ) ( II ) we get;

424x = 10.5

      x = 10.5/424

      x = 0.02476

224y = 8.5

      y = 8.5/224

      y = 0.03794

Price per pound of strawberries is $0.02476 and the price per pound of blueberries is $0.03794

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The fourth vertex's coordinates are as follows: ( 2.1, -3.6)

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.

So, let the missing coordinates be (a,b).

Let's now utilize the midpoint formula to locate the erroneous coordinate.

Let the reference point be (-2.3, 3.6) A.

Let point B be (2.3, 2.2).

(2.1, 2.2) Let C be the point.

The center of AC should be at BD.

Step 1: Locating the AC's midpoint

Middle pint of AC:

(-2.3 + 2.1/2), (-3.6 + 2.2/2)

(0.2/2), (1.4/2)

(-0.1, -0.7)

Let's equate the midpoints in step two.

The BD mid-point:

(a + -2.3/2), (b + 2.2/2) =  (-0.1, -0.7)

(a + -2.3/2) = -0.1

(a -2.3/2) = -0.1*2

a = -0.2+2.3

a = 2.1

(b + 2.2/2) = -0.7

b + 2.2 = -0.7*2

b + 2.2 = -1.4

b = -1.4 -2.2

b = -3.6

Therefore, the fourth vertex's coordinates are as follows: ( 2.1, -3.6)

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Complete question:

Freddy drew a plan for a rectangular piece of material that hehe will use for a blanket. Three of the vertices are ​( -2.3 and −3.6​), ​(−2.3​, and 2.2​), and ​(2.1​, and 2.2​). What are the coordinates of the fourth​ vertex?

Using proportions, the total acceleration you would have applied to the car would be of -33 m/s².

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

For one crash, the acceleration is of -3 m/s². Hence, for 11 crashes, the total acceleration would be of:

a = -3 x 11 = -33 m/s².

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The correct answer is C. -1 ≤ r ≤ 1. The correlation coefficient, r, is a measure of the strength and direction of a linear relationship between two variables. It can take on any value between -1 and 1, inclusive.

A correlation coefficient of -1 indicates a perfect negative correlation, where as one variable increases, the other variable decreases in a perfectly linear fashion. A correlation coefficient of 0 indicates no linear relationship between the two variables. A correlation coefficient of 1 indicates a perfect positive correlation, where as one variable increases, the other variable increases in a perfectly linear fashion.

Therefore, statement A is not correct as it only includes the positive values of r. Statement B is not correct as it does not include negative values of r. Statement C is correct as it includes all possible values of r.

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a. The two-way table is attached.

b. probability of lung cancer is 0.2.

d.  probability of a smoker is 0.625

b. If someone in this population is a smoker, the probability that person will develop lung cancer is P(C | M) = 0.05/0.25 = 0.2 or 20%.

c. The general probability that an individual develops lung cancer is 0.08 or 8%, which is higher than the probability of developing lung cancer if they are a smoker (20%). This suggests that smoking is a significant risk factor for developing lung cancer.

d. If someone in this population gets lung cancer, the probability that person is a smoker is P(M | C) = 0.05/0.08 = 0.625 or 62.5%.

e. The general probability that an individual is a smoker is 0.25 or 25%, which is higher than the probability of being a smoker if they have lung cancer (62.5%). This suggests that smoking is a major contributing factor to developing lung cancer in this population.

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Answer:

$500

Step-by-step explanation:

100-12=88

88/100=440/x

88x=100(440)

88x=44000

/88.  /88

x=500

hopes this helps

Use the distance formula to find base and height.

Probability that exactly 8 online bankers have not profited from insider information is C(15, 8) * 0.3^8 * (1 - 0.3)^(15 - 8).

Using the binomial distribution formula and rounding to four decimal places, we can calculate these probabilities and expected values.

To solve these probability problems, we can use the binomial distribution formula:

P(x) = C(n, x) * p^x * (1 - p)^(n - x)

where:

P(x) is the probability of x successes,

C(n, x) is the number of combinations of n items taken x at a time,

p is the probability of success in one trial, and

n is the number of trials.

In this case, let's calculate the probabilities step by step:

Probability that exactly 8 online bankers have not profited from insider information:

n = 15 (number of trials), x = 8 (number of successes), p = 0.3 (probability of success)

P(8) = C(15, 8) * 0.3^8 * (1 - 0.3)^(15 - 8)

Probability that at most 5 online bankers have profited from insider information:

P(x ≤ 5) = P(0) + P(1) + P(2) + P(3) + P(4) + P(5)

= P(0) + P(1) + P(2) + P(3) + P(4) + P(5)

Probability that not all selected online bankers have profited from insider information:

P(not all) = 1 - P(all)

Probability that more than 12 online bankers have profited from insider information:

P(x > 12) = P(13) + P(14) + P(15)

Expected number of online bankers who have profited from insider information:

E(x) = n * p

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Answer:

10

Step-by-step explanation:

Because 5 + 5 is 10, so 1/2 of 10 + 1/2 of 10 = 10

11.18033

let b=x

use pythag and rearrange for side b. Then simply maths.

Step-by-step explanation:

2x+4 +3x = 2x +2 +1

4+x= 2x+3

4-3=2x-x

1=x

x=1

The maximum value of the objective function from the given vertex points is 60.

The given system of inequalities are {2x + y ≤ 20, 3x + 2y ≤ 30, x , y ≥ 0}.Graph of the given inequalities: The region of feasible solutions is the shaded region below. The vertex points of this system are:(0,0), (0,10), (15,0).Explanation:For the first equation, 2x + y ≤ 20, assume x = 0, then we have y ≤ 20, therefore the line y = 20 is the horizontal boundary for the region of feasible solutions.For the second equation, 3x + 2y ≤ 30, assume x = 0, then we have 2y ≤ 30, which gives us y ≤ 15, therefore the line y = 15 is the horizontal boundary for the region of feasible solutions.For the third equation, x ≥ 0, this implies that the region of feasible solutions is on the right side of the vertical boundary x = 0.For the fourth equation, y ≥ 0, this implies that the region of feasible solutions is above the horizontal boundary y = 0.In part A, we obtained the vertex points of the given system.The vertex points of the given system are (0,0), (0,10), and (15,0). The given objective function is f(z) = 4x + 6y. We need to find the maximum value of the objective function from the given vertex points.Testing vertex points:(0,0): f(0,0) = 4(0) + 6(0) = 0(0,10): f(0,10) = 4(0) + 6(10) = 60(15,0): f(15,0) = 4(15) + 6(0) = 60Therefore, the maximum value of the objective function from the given vertex points is 60.

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Answer:

what kind of math question Is this?

Answer:

14

Step-by-step explanation:

becaus3 9+5=14......

The angle that a side of 15 inches makes with the 6-inch side is approximately 78.46 degrees.

c²= a² + b² - 2ab cos(C)

In this case, we know that the lengths of the two congruent sides are both 15 inches, and the length of the remaining side is 6 inches. So we have:

15² = 6² + 15² - 2(6)(15)cos(x)

225 = 261 - 180cos(x)

180cos(x) = 36

cos(x) =\(\frac{36}{180}\)

cos(x) = 0.2

Now we can use the inverse cosine function (\(cos^{-1}\)) to find the value of "x" in degrees:

x = \(cos^{-1}\)(0.2)

x ≈ 78.46 degrees

An angle is a geometric figure formed by two rays with a common endpoint, called the vertex. The rays are known as the sides of the angle. The measure of an angle is usually expressed in degrees, and it represents the amount of rotation needed to rotate one of the sides of the angle onto the other. A full rotation around a point is 360 degrees, so an angle measuring 180 degrees is called a straight angle.

Angles can be classified according to their measure. An acute angle is an angle measuring less than 90 degrees. A right angle is an angle measuring exactly 90 degrees. An obtuse angle measures more than 90 degrees but less than 180 degrees. A reflex angle measures more than 180 degrees but less than 360 degrees.

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Answer:

x = -2 | y = -6
x = 1 | y = 6
x = 2 | y = 10

Step-by-step explanation:

Answer:

b > 3

Step-by-step explanation:

\(12b-15>21\\\\12b-15+15>21+15\\\\12b>36\\\\\frac{12b>36}{12}\\\\\boxed{b>3}\)

Hope this helps.

False. A 2-by-2 symmetric matrix can have a determinant (|A|) equal to zero without necessarily having an eigenvalue that is equal to zero.

Consider the following counterexample:

Let A be the 2-by-2 symmetric matrix: A = [2 1; 1 2].

The determinant of A is: |A| = 2*2 - 1*1 = 3, which is not equal to zero.

However, the eigenvalues of A can be calculated as follows:

Det(A - λI) = 0, where λ is the eigenvalue and I is the identity matrix.

Setting up the determinant equation:

|A - λI| = |[2-λ 1; 1 2-λ]| = (2-λ)(2-λ) - 1*1 = λ^2 - 4λ + 3 = (λ-1)(λ-3) = 0.

The eigenvalues are λ = 1 and λ = 3, both of which are nonzero.

Therefore, |A| can be zero without A necessarily having an eigenvalue that is equal to zero.

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The P-value associated with each value of the z test statistic is given above. We round our answers to four decimal places.

To answer this question, we need to use the concepts of proportion, P-value, and statistic. The proportion, denoted by p, represents the proportion of students at a large university who plan to use the fitness center on campus on a regular basis. The null hypothesis, H0, states that the proportion is equal to 0.5, while the alternative hypothesis, Ha, states that the proportion is greater than 0.5.
A large-sample z test is used to test the hypotheses, and we are given different values of the z test statistic. To find the P-value associated with each value of the statistic, we need to use a statistical software or calculator, such as SALT.
The P-value is the probability of obtaining a test statistic as extreme as, or more extreme than, the observed statistic, assuming the null hypothesis is true. A small P-value indicates strong evidence against the null hypothesis, while a large P-value indicates weak evidence against the null hypothesis.
Using SALT, we can find the P-value associated with each value of the z test statistic.
(a) z = 1.10: P-value = 0.1357
(b) z = 0.92: P-value = 0.1788
(c) z = 1.95: P-value = 0.0256
(d) z = 2.44: P-value = 0.0073
(e) z = -0.12: P-value = 0.4522
Therefore, the P-value associated with each value of the z test statistic is given above. We round our answers to four decimal places.

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Answer:

The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.

Step-by-step explanation:

hope it help

Answer:

9.85

Step-by-step explanation:

|v|= √9²+(-4)²

=√81+16

=√97

|v|= 9.85

Answer:

Step-by-step explanation:

If you do the division needed to figure out this answer, you will find out she is able to make 45.5 bags. :)

Answer:

1,040kg/m³

Step-by-step explanation:

1g/cm³ =1,000kg/m³

1.04g/cm³=?

= 1.04×1000

Density =1,040kg/m³

Answer:

$100.80

Step-by-step explanation:

84 * 1.20 (120%) is 100.80

Answer:100.8

Step-by-step explanation:

0.2x84=16.8 so 16.8 is the discount.

84+16.8=100.8

The series diverges.

To compute the first four partial sums for the series with nth term an=1/n, we can use the formula for the nth partial sum Sn:

Sn = a1 + a2 + ... + an

In this case, a1 = 1/1, a2 = 1/2, a3 = 1/3, and so on. Therefore:

S1 = 1/1 = 1
S2 = 1/1 + 1/2 = 1.5
S3 = 1/1 + 1/2 + 1/3 ≈ 1.8333
S4 = 1/1 + 1/2 + 1/3 + 1/4 ≈ 2.0833

To determine whether the series converges or diverges, we need to examine the behavior of the sequence of partial sums {Sn}. If the sequence {Sn} converges to a finite limit, then the series converges. If the sequence {Sn} diverges to infinity or negative infinity, then the series diverges.

In this case, we can see that the sequence of partial sums {Sn} is increasing and appears to be approaching infinity as n increases. Therefore, the series diverges.

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Answer:

First one is 92

Step-by-step explanation:

Answer:

1. 9/2

2. 7 3/13

3. 3 13/15

4. 3 25/27

5. 2 1/4

6. 3 30/91

7. 2 5/21

8. 6 3/5

Step-by-step explanation:

When I put it like 2 5/21 I mean it's a mixed number.

Now I'll tell you the steps.

1. Find the common denominator (The denominator is the bottom number of the fraction. To find it you have to write out the multiplies of each number and once a number is the same that's the common denominator.)

2. Multiply the numerator by the amount of times it took to find the common denominator. (The numerator is the top number of the fraction. And the amount of times you'll have to multiply the numerator depends. I'll put an example below)

Example:

4/20 ÷ 7/2

2 goes into 20, 10 times so you have to multiply 7 by 10.

Then you'll get

70/20.

Now you can solve it.

4/20÷70/20

(I put random numbers so the answer may turn out funky this is just an example.)

3. Divide the fractions

4. Simplify answer if possible

I hope this helped!

Let's begin by listing out the information given to us:

When this is glided by T(-1, 1); ry−axis(x, y) → (−x, y)