In one area along the interstate, the number of dropped wireless phone connections per call follows a Poisson distribution. From four calls, the number of dropped connections is 2 0 3 1 (a) Find the maximum likelihood estimate of 2. (b) Obtain the maximum likelihood estimate that the next two calls will be completed without any ac- cidental drops.

Answer:

m (Slope) = 3

Step-by-step explanation:

Slope formula:

m = (y2 - y1) / (x2 - x1)

= (24 - 3) / (9 -2)

= 21 / 7

=3

Answer:

126 Sq unite

Step-by-step explanation:

I took the assignment

Answer:

126 Sq

Step-by-step explanation:

im taking the test

Answer: 18

Step-by-step explanation:

Answer:

8(x + 6) = 144

Step-by-step explanation:

We can start building this equation by making everything equal to 144 since the problem is representing the total number of apples:

? = 144

Next, we don't know how many apples are in each basket, so we can represent it with a variable, x.

Since 6 apples are added to each basket we will simply add 6 to the "x" amount of apples in each basket:

x + 6 = 144

Lastly, according to the scenario, we have 8 baskets, each holding "x" amount of apples plus the extra 6 that was added, so it will be multiplied:

8(x + 6) = 144

Answer:

The answer is A. Hope this helps

Answer:

Option C

Step-by-step explanation:

your x values cannot repeat for the function

So in Option C x values are not repeating

Answer:

The probability of boy in seventh child is 1/2, because the possibility of male child is always 50%.

Step-by-step explanation:

Answer:

-62 + (-5) = -67

Explanation:

If we need to find a temperature that is 5°C below, we need to subtract 5°C from the initial temperature.

For example, 5°C below 15°C is equal to:

15°C - 5°C = 10°C

If the initial temperature is -62°C, 5°C below is calculated as:

-62°C - 5°C

Since both numbers have a negative sign, we need to add the numbers and the result will also be negative.

It can also be written as:

-62 + (-5) = -67

It means that -67°C is 5°C below -62°C

Answer:

64

you are distrbuting  both the 8 which =64

Step-by-step explanation:

See the steps below:)

Answer:

Step-by-step explanation:

8(5+3)

You distribute what's in the Parentheses

8 x 5 = 40 and 8 x 3 = 24

40+24 = 64

Answer:

Students= 800

Adults= 400

Step-by-step explanation:

Given data

number of tickets= 1200

let students be x

and adults be y

x+y= 1200--------------------1

'

The total revenue collected for the game was $3200

so

1.5x+5y=3200-------------2

Solve 1 and 2 for x and y

x= 1200-y

put this is 2

1.5( 1200-y)+5y=3200-------------2

1800-1.5y+5y= 3200

3.5y= 3200-1800

3.5y=1400

Divide both sides by 3.5

y= 1400/3.5

y=400

Put y= 400 in 1

x+400= 1200

x= 1200-400

x=800

15 bags are expected for the journey for 9 people to fit backpacks in the trailer.

The fundamental principle of multiplication

To calculate the sum of two or more numbers, utilize the mathematical operation of multiplication. If an event can happen in m different ways and a second event can happen in n different ways after it, then the two events that happen in succession can happen in m n distinct ways.

Given that 5 backpacks can fit in the trailer for every 3 people.

Then 3 people = 5 backpacks

1 people = \(\frac{5}{3}\) backpacks

therefore  If 9 people are going on the trip, then;

9 people = \(\frac{5}{3}*9\) backpacks

= 5 x 3

= 15 backpacks

Hence, the trailer can fit 15 backpacks if 9 people go on the trip.

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The correct answer is A. The null hypothesis is rejected in error.

In statistical hypothesis testing, a Type II error occurs when the null hypothesis is incorrectly retained or failed to be rejected when it is actually false.

In other words, a Type II error happens when the researcher concludes that there is no significant difference or relationship between variables when, in reality, there is.

It is a false negative result, as the researcher fails to detect a true effect or relationship.

Option A accurately describes Type II error, while the other options are not related to Type II error.

Option B refers to rejecting the research hypothesis, which is not a Type II error but rather a Type I error.

Option C refers to the study being underpowered, which may increase the likelihood of both Type I and Type II errors but is not a direct description of Type II error.

Option D mentions double-blinding, which is a methodological consideration and not directly related to Type II error.

Option E refers to accepting the research hypothesis in error, which is not a Type II error but rather a correct decision or Type I error.

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\( \tt \dashrightarrow 4y - 7 = 15\)

\( \tt \dashrightarrow 4y = 15 + 7\)

\( \tt \dashrightarrow 4y = 22\)

\( \tt \dashrightarrow y = \cancel{\dfrac{22}{4}}\)

\( \tt \dashrightarrow y = \dfrac{11}{2}\)

\( \tt \dashrightarrow y = 5.5\)

\( \large \underline{\boxed{\bf{y = 5.5}}}\)

Hence, value of y = 5.5.

Answer: y = 5 ½ or y = 5.5

Step-by-step explanation:

4y - 7 = 15

Add 7 to both sides of the equation.

4y = 22

Divide both sides by 4

y = 5.5

Substitute y in the original equation.

4(5.5) - 7 = 15

22 -7 = 15

True.

Answer:

The third angle is 60

Step-by-step explanation:

The interior angle of a triangle is equal to the 180 minus the exterior angle.

\(180-80= 100\)

So one of the interior angles is equal to 100

All of the interior angles of a triangle add up to 180

\(180=100+20+x\)

\(x=60\)

A given shape that is bounded by three sides and has got three internal angles is referred to as a triangle. Thus the value of PB is 8.0 units.

A given shape that is bounded by three sides and has got three internal angles is referred to as a triangle. Types of triangles include right angle triangle, isosceles triangle, equilateral triangle, acute angle triangle, etc. The sum of the internal angles of any triangle is \(180^{o}\).

In the given question, point P is such that <APB = <APC = <BPC = \(120^{o}\). Also, line PB bisects <ABC into two equal measures. Thus;

<ABP = \(30^{o}\)

Thus,

<ABP + <APB + <BAP = \(180^{o}\)

30 + 120 + <BAP = \(180^{o}\)

<BAP = \(180^{o}\) - 150

<BAP = \(30^{o}\)

Apply the Sine rule to determine the value of PB, such that;

\(\frac{AP}{Sin B}\) = \(\frac{BP}{Sin30}\)

\(\frac{8}{Sin30}\) = \(\frac{BP}{Sin 30}\)

BP = \(\frac{8*Sin30}{Sin 30}\)

     = \(\frac{4}{0.5}\)

BP = 8.0

Therefore, the value of BP = 8 units.

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Let's define the following variables first.

A = number of tickets sold for adults

C = number of tickets sold for children

From the question, we can say that or form the following equations:

1. A + C = 790 tickets

2. $7A + $4C = $4, 390

The first equation can also be written as A = 790 - C. We can use this equation and replace "A" in the second equation.

From that, we can solve "C" by solving the equation formed above.

Therefore, 380 tickets for children were sold.

Since there are 790 tickets in total that are sold and 380 tickets for children were sold, we can say that 410 tickets for adult was sold.

Answer:

--------------------------------

Answer:

13/12 hours

1 hour 5 minutes

Step-by-step explanation:

Given timings:

To find the total time it took Peter to prepare the pizza, sum the fractions.

\(\implies \dfrac{1}{4}+\dfrac{1}{10}+\dfrac{1}{3}+\dfrac{2}{5}\)

\(\implies \dfrac{1 \cdot 15}{4\cdot 15}+\dfrac{1\cdot 6}{10\cdot 6}+\dfrac{1 \cdot 20}{3\cdot 20}+\dfrac{2 \cdot 12}{5\cdot 12}\)

\(\implies \dfrac{15}{60}+\dfrac{6}{60}+\dfrac{20}{60}+\dfrac{24}{60}\)

\(\implies \dfrac{15+6+20+24}{60}\)

\(\implies \dfrac{65}{60}\)

\(\implies \dfrac{13 \cdot 5}{12 \cdot 5}\)

\(\implies \dfrac{13}{12}\)

Therefore, it took Peter 13/12 hours to prepare the pizza.

Convert hours into minutes by multiplying the hours by 60:

\(\implies \dfrac{13}{12} \cdot 60=\dfrac{780}{12}=65\; \sf minutes\)

As 60 minutes = 1 hour, then:

⇒ 65 minutes = 1 hour and 5 minutes.

Therefore, the actual time it took for Peter to prepare the pizza is 1 hour and 5 minutes.

Answer:

30°

Step-by-step explanation:

as sum of angles = 180°

so 180° -(90° + 60°) = 30°

\(\qquad\) ☀️It's given,One angle of a right triangle measures 60°.

\(\qquad\) According to the question :-

\(\qquad \longrightarrow {\purple {\underline{\underline{\pmb{\sf{ Sum_{(All \:angles) }= 180°}}}}}}\)

\(\qquad \pmb{\sf\longrightarrow 60° + 90° + x = 180°}\)

\(\qquad \pmb{\sf\longrightarrow 150° + x = 180°}\)

\(\qquad \pmb{\sf\longrightarrow x = 180° - 150°}\)

\(\qquad \longrightarrow {\pink{\underline{\underline{\pmb{\sf{ x= 30°}}}}}}\)

Therefore–

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

If the columns of B do not span ℝ^4, it means that there are certain vectors y in ℝ^4 for which the equation Bx = dy does not have a solution. In this case, the system of equations is inconsistent, and there may not be a solution for some y.

To determine whether the columns of matrix B span ℝ^4, we need to check if the columns are linearly independent and if they span the entire space.

Let's assume matrix B is an m × n matrix, where m is the number of rows and n is the number of columns.

If the columns of B are linearly independent and there are n columns (n ≤ m), then the columns span ℝ^m. In this case, if B is a 4 × n matrix, the columns would span ℝ^4.

On the other hand, if the columns of B are linearly dependent or there are fewer than n columns (n > m), then the columns do not span the full space.

Regarding the equation Bx = dy, where y is a vector in ℝ^4, we can determine if there is a solution for each y by considering the consistency of the system of equations.

If the columns of B span ℝ^4, it means that for every vector y in ℝ^4, there exists a solution to the equation Bx = dy. In this case, the system of equations is consistent, and there is a solution for each y.

However, if the columns of B do not span ℝ^4, it means that there are certain vectors y in ℝ^4 for which the equation Bx = dy does not have a solution. In this case, the system of equations is inconsistent, and there may not be a solution for some y.

To conclusively determine whether the columns of B span ℝ^4 and whether the equation Bx = dy has a solution for each y in ℝ^4, we would need more information about the specific matrix B and its dimensions.

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Answer:

Step-by-step explanation:

c

Answer:

The numbers that meet these conditions are -3, -2 and -1.

This means that the wording of the question is somewhat ambiguous:

The lowest of the three numbers is -3.

The smallest however is -1.

You may need clarification on which of those is being asked for.

Step-by-step explanation:

Let's call those numbers a, b and c, with a the smallest and c the largest. We're told two key things here:

1) The sum of the smaller two integers is two more than seven times the largest integer.  In other words a + b = 7c + 2

2) We're looking for three consecutive integers, which means that we can define them with a single variable.  If the smallest one is a, then the others are a + 1 and a + 2.

We can take those and put them together, giving us the equation:

a + (a + 1) =  7(a + 2) + 2

Which we can then solve for a:

a + (a + 1) =  7(a + 2) + 2

2a + 1 = 7a + 14 + 2

2a - 7a = 14 + 2 - 1

-5a = 15

a = -3

Since a is -3 and also the smallest, we can then say that the numbers are -3, -2 and -1.

Answer:

144 cm

Step-by-step explanation:

Bottom: 4x11 = 44

Side 3x4x1/2 = 6

Other side = 6 (same)

Slant = 3, 4 and the hypotenuse is 5 (pythagroem triple )

5x11 = 55

Back: 3x11= 33

44+6+6+55+33= 144

Answer:

(x,y) = Any point on the line

m = the slope of the line

(x₁, y₁) = A given point on the line

Step-by-step explanation:

the equation of a straight line is;

y = mx + c

where;

x and y are any point on the line

m is the slope of the line

c is the intercept on the y axis

And a given point on (x,y) can be written as (x₁, y₁)

Therefore, for the case above;

(x,y) = Any point on the line

m = the slope of the line

(x₁, y₁) = A given point on the line

Without specific information about the cactus's shape or dimensions, it is not possible to accurately determine its volume.

Calculating the volume of a cactus based solely on its size of 8 cm is challenging without additional information about its shape or dimensions. Cacti come in various forms, including tall columnar cacti, spherical or globular cacti and branching cacti, each with distinct volume calculations.

I can provide you with a general overview of cacti and their unique characteristics.

Cacti are succulent plants that belong to the family Cactaceae.

They are typically found in arid and desert regions, known for their ability to store water in their stems, leaves, or roots.

This adaptation allows them to survive in dry environments with limited rainfall.

The volume of a cactus is typically determined by its shape and dimensions.

For instance, a cylindrical cactus would have a volume calculated using the formula for the volume of a cylinder, which is given by:

Volume = π × (radius)² × height

Without specific information about the cactus's shape or dimensions, it is not possible to accurately determine its volume.

If you have more details about the cactus, such as its specific shape, measurements, or a photo, I would be happy to assist you further in calculating its volume.

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The appropriate set operators (∩, ∪, -, ') when expressing these sets in terms of A and B.

Remember to use the appropriate set operators (∩, ∪, -, ') when expressing these sets in terms of A and B.

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Answer:

She can pick 39 apples in 45 minutes

Explanation:

Hope this helps! ^w^

This criterion can be defined based on the desired level of accuracy or when the change in the estimated parameters falls below a certain threshold.

When implementing a program for a nonlinear problem using the least square adjustment technique, it is essential to determine a termination condition. This condition dictates when the program should stop iterating and provide the final estimated parameters. A common approach is to set a convergence criterion, which measures the change in the estimated parameters between iterations.

One possible criterion is to check if the change in the estimated parameters falls below a predetermined threshold. This implies that the adjustment process has reached a point where further iterations yield minimal improvements. The threshold value can be defined based on the desired level of accuracy or the specific requirements of the problem at hand.

Alternatively, convergence can also be determined based on the objective function. If the objective function decreases below a certain tolerance or stabilizes within a defined range, it can indicate that the solution has converged.

Considering the chosen termination condition is crucial to ensure that the program terminates effectively and efficiently, providing reliable results for the nonlinear problem.

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Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1. It is calculated based on the number of favorable outcomes divided by the total number of possible outcomes.

To solve this problem, we will use the formula for probability of independent events:

P(A and B and C) = P(A) x P(B|A) x P(C|A and B)

where P(A) is the probability of the first event, P(B|A) is the probability of the second event given that the first event has occurred, and P(C|A and B) is the probability of the third event given that the first two events have occurred.

a.) Probability of drawing three red balls in succession:

P(RRR) = (24/81) x (23/80) x (22/79) = 0.027 or 2.7%

b.) Probability of drawing three green balls in succession:

P(GGG) = (27/81) x (26/80) x (25/79) = 0.061 or 6.1%

c.) Probability of drawing three blue balls in succession:

P(BBB) = (30/81) x (29/80) x (28/79) = 0.080 or 8.0%

Therefore, the probability of drawing all three balls of the same color without replacement from the box are:
a.) 2.7%
b.) 6.1%
c.) 8.0%

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Answers:  he markup price is $9.6

You will be paying 120% which is 1.20 as a decimal

So you multiply. 8(1.20) which gives you $9.6

Step-by-step explanation: thank you for letting me answer this question hope it's helpful

Answer:

Standard form = 606000

Scientific notation = 6.06*10^5

Step-by-step explanation:

Given the expression

(8.08×106)×(7.5×10−2)

This can also be expressed as;

(8.08*7.5) * (10^6*10^-2)

= 60.6*10^4

= 606000

express in scientific form;

606000

= 60.6*10^4

= 6.06*10^1*10^4

= 6.06 * 10^5