assume that the number of babies born in a randomly selected day at a local hospital follows a poisson distribution with parameter . in a random sample of 4 days, there are (5, 0, 3, 2) babies born. let be the probability that 2 babies are born in a single day. find the maximum likelihood estimate of based on this sample.

Given data:

The width is b=3.

The given height is h= 2.

The length is equal to the unity l=1.

The volume is,

Thus, the volume is 6 cubic-units.

The graph that represents the solutions of the given system of equations is attached below.

We are given a system of equations. The first equation is a quadratic polynomial. The second equation is linear in nature. The equations are given below.

x² - y = -2

4y - 8 = x

We need to find the solution to the equations using a graph. The graph of the equations is attached below. The graph of the first equation is represented by an upward parabola. The graph of the second equation is represented by a straight line. The intersection points of the two curves are the solutions to the given system of equations.

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Answer:

ie (4/5)^3

= 64/125

Step-by-step explanation:

please mark as brainliest

Answer:

6 1/4 and 1 1/4

1 and 1/5

Step-by-step explanation:

These are the only ones I think

\(6\frac{1}{4}\) kilometer:  \(1\frac{1}{4}\) minutes and 1 kilometer: 1/5 minutes has unit rate as 5.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

The given, ratios are:

4/5 km : 5 minutes

\(3\frac{1}{10}\) km: 3/10 minutes

1 kilometer: 1/5 minutes

1/3 kilometer: \(1\frac{2}{3}\) minutes

\(4\frac{1}{2}\) kilometer: 2 minutes

\(6\frac{1}{4}\) kilometer:  \(1\frac{1}{4}\) minutes

We need to check which ratios have 5 as unit rate.

\(6\frac{1}{4}\) kilometer:  \(1\frac{1}{4}\) minutes has unit rate as 5

25/4/5/4

5

1 kilometer: 1/5 minutes

5

Hence, \(6\frac{1}{4}\) kilometer:  \(1\frac{1}{4}\) minutes and 1 kilometer: 1/5 minutes has unit rate as 5.

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mass of the penny in pounds is 0.00220462 pounds.

To explain this, we can use unit analysis to convert the mass from grams to pounds. We know that there are 453.592 grams in one pound, so we can set up a conversion factor:
1 pound / 453.592 grams
To convert the mass of the penny in grams to pounds, we can multiply the given value by this conversion factor:
( X grams ) * ( 1 pound / 453.592 grams )
Simplifying this expression, the grams unit cancels out, leaving us with the mass of the penny in pounds:
( X / 453.592 ) pounds
Plugging in the given mass of the penny in grams, we get:
( Y grams ) * ( 1 pound / 453.592 grams ) = ( Y / 453.592 ) pounds

the mass of the penny in pounds is ( Y / 453.592 ) pounds, which is approximately 0.00220462 pounds.

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Answer:

28

Step-by-step explanation:

In the morning, the temperature was 20 degrees

By 6pm, we have a drop to 8 degrees below 0, that will be -8

So the temperature difference will be;

20-(-8)

= 20 + 8 = 28

The probability that the sample mean would be less than 127 wpm if 84-speed typists are randomly selected is: 0.033625

What is Mean?

In statistics, in addition to the mode and median, the mean is one of the measures of central tendency. Simply said, the mean is the average of the values in the given collection. It indicates that values in a certain data collection are distributed equally. The three most often employed measures of central tendency are the mean, median, and mode. The total values provided in a datasheet must be added, and the sum must be divided by the total number of values in order to get the mean. When all of the values are organized in ascending order, the Median is the median value of the provided data. While the number in the list that is repeated a maximum of times is the mode.

We have

\(\mu=124\)  

\(\sigma=15\)

n=84

We want to find the probability that the sample mean would be greater than 127 WPM is

\(\begin{aligned}P(\bar{X} > 127) &=P\left(\frac{\bar{X}-\mu}{\sigma / \sqrt{n}} > \frac{127-124}{15 / \sqrt{84}}\right) \\&=P(Z > 1.83)\end{aligned}\)

\(=0.033625\)

The required probability is 0.0336.

Hence, The probability that the sample mean would be less than 127 wpm if 84-speed typists are randomly selected is: 0.033625

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Answer: B

Step-by-step explanation:

the formula for area of a triangle is base times height divided by 2

to get the base do 12.3 x 2 = 24.6

24.6 x 25.6 = 629.76

629.76/2 = 314.88

the answer would be B

(sorry for saying the answer was A at first, i forgot to find the full base)

Answer:

B. 314.9m

Step-by-step explanation:

First, let's take a look at the formula of a triangle.

A=\(\frac{1}{2}\)(b * h) ALSO WRITTEN AS- A= \(\frac{(b*h)}{2}\).

So, as you can see, there is only half the base provided. To get the other half, just multiply it by 2. You get 24.6m as the base.

The height is provided. It's 25.6m. Plug in your base and height values and slove.

A=\(\frac{24.6m * 25.6m}{2}\)

A= \(\frac{629.76}{2}\)

A= 314.88m

You then round to the nearest tenth.

The final answer is A=314.9m.

There are number of 170 seats with folding arm tablets that are not designed for wheelchair users.

1. First we need to identify the total number of seats in the lecture hall which is 200.

2. Then we need to identify the number of seats with folding arm tablets that are designed for wheelchair users which is 30.

3. To find the number of seats with folding arm tablets that are not designed for wheelchair users, we can subtract the number of seats designed for wheelchair users from the total number of seats.

4. Therefore, 200 - 30 = 170, which means there are 170 seats with folding arm tablets that are not designed for wheelchair users.

The lecture hall in question has a total of 200 seats, with 30 of those seats having folding arm tablets that are designed for wheelchair users. To find the number of seats with folding arm tablets that are not designed for wheelchair users, we can subtract the number of seats designed for wheelchair users from the total number of seats. This means that 200 - 30 = 170, which means there are number of 170 seats with folding arm tablets that are not designed for wheelchair users.

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Answer:

The probability that the mean lifespan of 64 randomly chosen washing machine belts is below 1999.375 hours is approximately 0.27.

Step-by-step explanation:

To find the probability that the mean lifespan of 64 randomly chosen washing machine belts is below 1999.375 hours, we can use the central limit theorem.

The central limit theorem states that for a large enough sample size, the distribution of the sample means approaches a normal distribution, regardless of the shape of the population distribution.

In this case, the sample size is large (n = 64), so we can assume that the distribution of the sample means will be approximately normal.

The mean of the sample means is equal to the population mean, which is 2000 hours.

The standard deviation of the sample means, also known as the standard error of the mean, is calculated by dividing the population standard deviation by the square root of the sample size:

Standard Error of the Mean = σ / √(n)

In this case, the population standard deviation is 5 hours, and the sample size is 64. So, the standard error of the mean is:

Standard Error of the Mean = 5 / √(64) = 5 / 8 = 0.625 hours

Now, we can calculate the z-score, which measures the number of standard deviations the desired value (1999.375 hours) is away from the mean:

z = (x - μ) / SE

where x is the desired value, μ is the mean, and SE is the standard error of the mean.

z = (1999.375 - 2000) / 0.625 = -0.6

Using a standard normal distribution table or a calculator, we can find the probability associated with this z-score. Therefore, the probability is approximately 0.2743 (rounded to 2 decimal places).

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The probability, rounded to 2 decimal places, that if you chose 64 washing machine belts at random, their mean would be below 1999.375 hours is 0.27.

To solve this problem, we can use the central limit theorem, which states that the distribution of sample means approaches a normal distribution as the sample size increases, regardless of the shape of the original distribution.

Given that the average lifespan of washing machine belts is 2000 hours with a standard deviation of 5 hours, we can calculate the standard deviation of the sample mean (also known as the standard error) using the formula:

Standard Error (SE) = Standard Deviation (SD) / √(Sample Size)

SE = 5 / √64 = 5 / 8 = 0.625

Now, we need to convert the value 1999.375 hours into a z-score. The z-score measures the number of standard deviations a value is from the mean. We can calculate the z-score using the formula:

z = (X - μ) / SE

z = (1999.375 - 2000) / 0.625 = -0.6

To find the probability that the mean of the sample is below 1999.375 hours, we need to find the area under the standard normal distribution curve to the left of the z-score -0.6.

Using a standard normal distribution table or a calculator, we can find that the area to the left of -0.6 is approximately 0.2743.

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Frequency means how often a number or something appears.

so,

2

4

3

5

Answer:

2/6 times

Step-by-step explanation:

only side 5 and 6 are greater than four and with fair rolls you would expect the die to land on each side once. So 2/6 times you would expect a roll greater than 4.

The proof that m∠2 = m∠3 in the two column proof table is; shown in the various steps and this can be seen in the attachment.

It should be noted that two angles are called complementary when their measures add to 90 degrees.

On the other hand, two angles are called supplementary when their measures add up to 180 degrees. One way to avoid mixing up these definitions is to note that s comes after c in the alphabet, and 180 is greater than 90.

Check the attachment.

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Answer:

The answer is in the picture below

Step-by-step explanation:

Answer:

here are 26 choices for each letter, so we can select the letters in 26 x 26 x 26 waysThere are 10 choices for each digit so we can select digits in 10 x 10 x 10 x 10 ways. So total : 26 '3 x 10 '4 ways

Step-by-step explanation:

The number of distinct license plates that can be created in the given pattern is 17576000.

The fundamental counting principle or basic principle of counting is a method or a rule used to calculate the total number of outcomes when two or more events are occurring together.

Given: A standard New York car license plate has 3 letters followed by 4 numbers.

If the letters and numbers can be repeated, then the number of ways 3 letters picked for license plate = 26 x 26 x 26

And the number of ways 4 numbers picked for license plate = 10 x 10 x 10

The total number of distinct license plates that can be created in the given pattern = 26 x 26 x 26 x 10 x 10 x 10

= 17576000

Hence, the number of distinct license plates that can be created in the given pattern is 17576000.

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Answer: b represents the variable and 42 represents the coefficent.

Step-by-step explanation:

The required  the  parts of the park expression 42b represent

the total price of the bolga basket , b represents the number of bolga basket and 42 represents the cost of each bolga basket.

A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.

Given:

Bolga baskets= $42

The expression 42b represents the total price buying b baskets.

According to given question we have

The given statement is

Let the number of bolga basket be b

So, the total price of the bolga basket =42b

The cost of each bolga basket is  $42

Therefore, the required  the  parts of the park expression 42b represent

the total price of the bolga basket , b represents the number of bolga basket and 42 represents the cost of each bolga basket.

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Answer:

C. 18, 24, 30

Step-by-step explanation:

The ratio of y:x should be constant for any value of x and y.

\( \frac{y}{x} = constant\)

If go over every table, you'll find that this is true for the third one and that the ratio is r=50

The table showing the proportional relationship between x and y is the third one.

Two sequences of numbers, often experimental data, are proportional or directly proportional if their corresponding elements have a constant ratio, which is called the coefficient of proportionality or proportionality constant.

Given are four tables, giving values of x and y, we need to identify the table giving the relation between x and y which is proportional.

Table 1)

x = 1, 2, 3, 6

y = 1.5, 3, 6, 9

y/x = 1.5, 1.5, 2, 1.5 [not proportional]

Table 2)

x = 2, 4, 5, 6

y = 6, 12, 18, 21

y/x = 3, 3, 3.6, 3.5 [not proportional]

Table 3)

x = 1, 3, 4, 5

y = 50, 150, 200, 250

y/x = 50, 50, 50, 50 [proportional]

Hence, the table showing the proportional relationship between x and y is the third one.

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Answer:

It is the first answer

Step-by-step explanation:

Because you are multiplying which also means (product of something).

y = 10 + 3 x hopefully this helps im still new tho!

The answers to all the parts is given above.

Direct variation of {y} with {x} means that as {x} increases, {y} increases uniformly with it. Mathematically -

{K} = y/x = constant                             .... Eq{ 1 }

Scale factor {K} is a dimensionless value that indicates the constant ratio value indicating direct variation.

Given is a table as shown in question 10 of the given image.

{ 1 } -

We can write Jake's rate of change of grade per hour studied as -

{r} = (91 - 84)/(2 - 1)

{r} = 7/1

{r} = 7

{ 2 } -

We can write Howie's rate of change of grade per hour studied as -

{r} = {(91 + 6) - 84}/(2 - 1)

{r} = 13

Therefore, the answers to all the parts is given above.

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The  values of x is (4,-8) he two vectors will be orthogonal.

Let u=(x+4) i-4 j

x=x i+8 j

Now, U and v are orthogonal.

A number of vectors that are mutually perpendicular to each other, meaning they form an angle of 90° with a magnitude of one unit with each other, are called orthogonal unit vectors.

Therefore, u.v=0

⇒\(((x+4) i-4 j) \cdot(x i+8 j)=0 \\\)

⇒\(x(x+4)-32=0 \\\)

⇒\(x^2+4 x-32=0 \\\)

⇒\(x^2+8 x-4 x-32=0 \\\)

⇒\(x(x+8)-4(x+8)=0 \\\)

⇒x=4, x=-8

Therefore, the value of x=4 and x=-8 the two vectors will be orthogonal.

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Answer:

16

Step-by-step explanation:

Given that the total number of seats in an auditorium is modeled by the following equation:where x represents the number of rows of seats.We are to find the number of rows are there in the auditorium with a total of 416 seats.So, we are to find the value of x if f(x) = 416.

Since the number of rows cannot be negative, so the required number of rows in the auditorium is 16.Thus, the number f rows is 16.

The person is willing to supply fewer hours of labor at wage rate w1 than at w2 and more hours of labor at wage rate w3 than at w2.

What is fewer hours (w1)?

"Fewer hours (w1)" refers to a condition where an individual is willing to offer a reduced amount or a lesser number of hours of labor in response to a specific wage rate denoted as w1. It implies a decrease in the quantity of labor supplied relative to other wage rates, such as w2 or w3.

Typically, the labor supply curve has an upward slope, indicating that as the wage rate increases, individuals are more willing to supply labor or work more hours. This is because higher wages incentivize individuals to allocate more of their time to work in order to earn more income.

Therefore, if we assume a conventional labor supply curve, we can infer that at a higher wage rate (w3) compared to a lower wage rate (w2), the individual would be willing to supply more hours of labor. Conversely, at a lower wage rate (w1) compared to w2, the individual would be willing to supply fewer hours of labor.

It is important to note that the actual relationship between wage rates and labor supply can be influenced by various factors such as individual preferences, market conditions, and other economic factors. Therefore, a specific labor supply curve graph or more information would be needed to provide a more accurate and specific explanation.

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Answer:

yes I agree with kevin's thinking because she needs 75 for each of the 12 days so its 12*75 and compare with how she earns 85 dollars each month for ten months which is 85 *10

Step-by-step explanation:

Answer:

Yes, I agree.

Step-by-step explanation:

She needs 75 for each of the 12 days so do the math 12x75.  Because she earns 85 dollars each month for ten months, you do 85x10.

Answer:

G (-2,8)

Step-by-step explanation:

(-8+x)/2 = -5

-8 + x = -10

x = -10 + 8

x = -2

(0+y)/2 = 4

y = 4 · 2

y = 8

Answer:

\( - 8x {}^{2} - 6x + 35 \)

Step-by-step explanation:

(2x+5)(7-4x)

expanding

2x(7-4x)+5(8-4x)

removing brackets

2x×7+2x×-4x+5×7+5×-4x

14x-8x^2+35-20x

arranging properly

-8x^2-6x+35

Answer:

H - 20

Step-by-step explanation:

Answer:

H) 20 cm.

Step-by-step explanation:

The small trapezoid is two times smaller than the large trapezoid. So, you would do 40/2 to get 20 for d.

Hope it helps!