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The mean and the variance of the poisson distribution are;

Mean = 2.66

Variance = 1.277

The formula for the PMF of a Poisson distribution is;

p(x:λ) = [e^(-λ) * λ^(x)]/x! for x = 0, 1, 2......

Thus;

p(x = 0) =  [e^(-λ) * λ^(0)]/0!

e^(-λ) = 0.07

λ = - In 0.07

λ = 2.66

That is the mean

Variance is square root of standard deviation;

Variance = √√(2.66)

Variance = 1.277

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Answer:

2.65926003693 for mean and variance.

Step-by-step explanation:

First of all, when it comes to Poisson distributions, the mean and variance equal the same thing. Here we can find the mean using e^-(lambda)=0.07 therefore lambda= -ln(0.07) which equals 2.65926003693 for both.

Answer:

  C  86

Step-by-step explanation:

You want the measure of the angle marked x° where chords cross. The angle marked x° intercepts an arc of 104° and one that is unmarked. The remaining arcs of the circle are marked 111° and 77°.

The measure of angle x is half the sum of the arcs it intercepts. One of those is given as 104°. The other will be ...

  360° -111° -104° -77° = 68°

Then the value of x is ...

  (104 +68)/2 = 172/2 = 86

The value of x is 86, choice C.

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Answer:

6:24 or 1:3 (this is reduced)

Step-by-step explanation:

I added 18 plus 6 together getting 24, which tells me that there are 24 flowers in Mr. Lopez's garden. I then set up the ratio as 6:24, but i knew that i could reduce it. (I'm noy sure if you want it reduced or not) So I divided both sides by 6 getting the ratio 1:3.

Hope this helps!

Answer:

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

Initial value of the toy is €450.

After 10% increase the value is:

After further 10% decrease the value becomes:

The final value of the toy is €445.50.

Answer: 5 pounds

Step-by-step explanation:

Think about it in order to find j you multiply 6 times c. If j=30 you divide 30 from 6 to find the value of c. This is why c is 5.

Hope this helps :)

Answer:

Number one is D/12.5

Step-by-step explanation:

correct me if im wrong plz

Answer:

it is too blury to read

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

Because two sides are congruent, the triangle in the diagram is isosceles which means that angle c = angle e because of the Base Angles Theorem. We know that angle c = 63 degrees because we see that it's vertical to a 63 degree angle, and vertical angles. Since angle c = angle e, angle e = 63 degrees. Since angles e and b form a linear pair, they are supplementary, meaning that they add up to 180 degrees which means that angle b = 180 - 63 = 117 degrees. To find angle d, we notice that d and c are alternate interior angles, and since these angles are congruent in parallel lines, angle d = 63 degrees as well. To find angle a, we know that the sum of angles in a triangle is 180 degrees so angle a = 180 - 63 - 63 = 54 degrees.

See in the attachment.

Answer:

The total number of ways the researcher can select  5 women and 5 men for a study is 7,56,756.

Step-by-step explanation:

The complete question is:

From a group of 10 women and 15 men, a researcher wants to randomly select  5 women and 5 men for a study in how many ways can the study group be selected?

Solution:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

 \({n\choose k}=\frac{n!}{k!\cdot (n-k)!}\)

The number of women in the group: \(n_{w}=10\).

The number of women the researcher selects for the study, \(k_{w}=5\)

Compute the total number of ways to select 5 women from 10 as follows:

\({n_{w}\choose k_{w}}=\frac{n_{w}!}{k_{w}!\cdot (n_{w}-k_{w})!}=\frac{10!}{5!\cdot (10-5)!}=\frac{10!}{5!\times 5!}=252\)

The number of men in the group: \(n_{m}=15\).

The number of men the researcher selects for the study, \(k_{m}=5\)

Compute the total number of ways to select 5 men from 15 as follows:

\({n_{m}\choose k_{m}}=\frac{n_{m}!}{k_{m}!\cdot (n_{m}-k_{m})!}=\frac{15!}{5!\cdot (15-5)!}=\frac{15!}{5!\times 10!}=3003\)

Compute the total number of ways the researcher can select  5 women and 5 men for a study as follows:

\({n_{w}\choose k_{w}}\times {n_{m}\choose k_{m}}=252\times 3003=756756\)

Thus, the total number of ways the researcher can select  5 women and 5 men for a study is 7,56,756.

when x < 5, we can simplify it as -(x - 5) because (x - 5) is negative.

We have,

Absolute value:

The absolute value of a number represents its distance from zero on the number line. It is always a non-negative value.

For example, the absolute value of 3 is 3, and the absolute value of -3 is also 3.

|x - 5|:

In this expression, we have the absolute value of the quantity (x - 5).

It means that we are looking at the distance between x and 5 on the number line.

x < 5:

The condition x < 5 states that x is less than 5.

It means that x is located to the left of 5 on the number line.

Simplification:

When x is less than 5, it implies that x is located to the left of 5.

In this case,

The quantity (x - 5) becomes negative because we are subtracting a larger value (5) from a smaller value (x).

Now,

The expression |x - 5| can be simplified to -(x - 5), which means taking the negation of (x - 5).

- If x = 3, which is less than 5, we can substitute it into the expression:

|x - 5| = |3 - 5| = |-2| = 2

- If x = 7, which is greater than 5:

|x - 5| = |7 - 5| = |2| = 2

In both cases,

The value of |x - 5| is 2.

However, when x < 5, we can simplify it as -(x - 5) because (x - 5) is negative.

Thus,

when x < 5, we can simplify it as -(x - 5) because (x - 5) is negative.

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Answer:

D) 8\(\frac{1}{2}\)

Step-by-step explanation:
5\(\frac{2}{3}\) ÷ \(\frac{2}{3}\) = 8\(\frac{1}{2}\)

Answer:

C

Step-by-step explanation:

(6a - 2b) ^ 2

36a^2 + 2b^2

The ordered pair we are looking for is the values of the variables \(x\) and \(y\), or \((x, y).\)  We are given that \(x=2\), and that the formula to evaluate \(y\) is \(y = 5^x\). Note we are given \(x\) so we can evaluate \(y\) as \(y = 5^2 = 25\). Now, we have both the values of \(x\) and \(y\), so our ordered pair is thus \((x,y) = (2,25).\)

The remaining amount of salt that Tom needed to pour was 67.59 grams.

To subtract in mathematics is to take something away from a group or a number of objects.

In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.

The group's total number of items decreases or becomes lower when we subtract from it.

As per the given,

The total amount that Tom needs to pour = 84.99 grams

Amount poured = 17.4 grams

Remaining = 84.99 grams - 17.4 grams = 7.59 grams

Hence "The remaining amount of salt that Tom needed to pour was 67.59 grams".

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Answer:Federal Step-by-step explanation:

Answer:

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

Find the slope of AB:

Use point-slope form and point A(2, 4) to determine the line:

Multiply both sides by 9 to clear fraction:

Open parenthesis and convert the equation into ax + by + c = 0:

Answer:

Raw Score

Step-by-step explanation:

A raw score is a datum point or value that has not been altered in any way. Raw scores are original measurements from surveys, tests, or other instruments that have not been weighted, transformed, or converted into any other form. Raw scores are also called observed scores.

Therefore

It is a Raw score

Check the picture below.

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Using relations in a right triangle, the secant of angle θ is given by:

D. 5/4.

The relations in a right triangle are given as follows:

Using the Pythagorean Theorem, the hypotenuse of the triangle is given as follows:

h² = 9² + 12²

h = sqrt(9² + 12²)

h = 15.

The secant of an angle is 1 divided by the cosine, hence:

Which means that option D is correct.

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The data set represents an inverse variation. When x increases, y decreases, and vice versa. This is the hallmark of an inverse variation. So, the correct answer is B: Inverse variation.

Inverse variation is a mathematical relationship between two variables where an increase in one variable results in a decrease in the other and vice versa. In other words, the product of the two variables remains constant as the values of the variables change. This relationship is represented by the equation y = k/x, where y and x are the two variables, and k is a constant.

For example, consider the situation where the speed of a car is inversely proportional to the time it takes to cover a certain distance. If a car covers a distance of 60 miles in 1 hour, it would cover a distance of 30 miles in 2 hours, because the speed has halved. This relationship can be represented mathematically as s = k/t, where s is the speed, t is the time, and k is a constant.

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The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

Answer:

the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.

Uri paid a total of $85.47 for the landscaping service including tax and tip.

Taxes are compulsory payments made by a government organisation, whether local, regional, or federal, to people or businesses. Tax revenues are used to fund a variety of government initiatives, such as Social Security and Medicare as well as public infrastructure and services like roads and schools. Taxes are borne by whoever bears the cost of the tax in economics, whether this is the entity being taxed, such as a business, or the final users of the items produced by the firm. Taxes should be taken into consideration from an accounting standpoint, including payroll taxes, federal and state income taxes, and sales taxes.

Given that company charged $74 for the service plus 5% tax.

The tax is 5%, that is:

Tax = 5% of $74 = 0.05 x $74 = $3.70

Cost after tax = $74 + $3.70 = $77.70

Now, tip is 10%:

Tip = 10% of $77.70 = 0.10 x $77.70 = $7.77

Total cost = $77.70 + $7.77 = $85.47

Hence, Uri paid a total of $85.47 for the landscaping service including tax and tip.

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