The product of 84.12 and which number will have three decimal places?
4.22
10.51
14.163
19.3

To solve we need to calculate the z-score, but since we are given the sample size then we shall begin as follows:

The z-score is calculated as (320 - 300)/(50/6) = 2.4, which means that the value of 320 is 2.4 standard deviations above the population mean of 300. Using a standard normal table or calculator, we can find the probability that a standard normal random variable is less than 2.4, which is approximately 0.9918.

This means that the probability that the sample mean is greater than 320 is approximately 0.9918. In other words, there is a 99.18% chance that a randomly selected sample of 36 U.S. Marines will have a mean number of pushups greater than 320.

μ=300, σ=50, n=36, x=320

So,

σ/√n

= 50/√36

= 8.33333

z=(320-300)/8.33333

z=2.4

Therefore,

P(x>320)=P(z<2.4)=0.9918.

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Answer:

\((x - 4)^2 + (y - 6)^2 = 25.\)

Step-by-step explanation:

Start with the equation of a circle: \((x - h)^2 + (y - k)^2 = r^2\)

Plug in the values for the center: \((x - 4)^2 + (y - 6)^2 = r^2\)

Substitute the value of the radius: \((x - 4)^2 + (y - 6)^2 = 5^2\)

Simplify the equation: \((x - 4)^2 + (y - 6)^2 = 25\)

The resulting equation is the equation of the circle:\((x - 4)^2 + (y - 6)^2 = 25.\)

Answer:

(x - 3)^2 + (y + 2)^2 = 2^2.

Answer:

1 pound equals 16 ounces. So the pounds per ounce equals:

$4.00/16 ounces

Divide top and bottom by 16, we get:

$0.25 per ounce

Answer:

so what your gonna do is 48.96 divided by 9 which is 5.44

Step-by-step explanation:

Answer:

it A  

x + y = 29, 5x + 2y = 100

Step-by-step explanation:

Answer:

A, x + y = 29, 5x + 2y = 100

Step-by-step explanation:

just finished the assignment on edg 2020

The simplified value the expression "㏑e^(2x-5)", by applying the properties of logarithmic and exponential function is 2x-5.

An exponential-function is a function of the form f(x) = aˣ, where a is a constant called the base and x is the variable. The base "a" is positive and not equal to 1.

A logarithmic function is called inverse of an exponential-function.

The inverse properties of logarithmic and exponential functions tell us that ㏑eˣ = x for any value of x.

So, we can simplify ㏑e^(2x-5) as :

⇒ ㏑e^(2x-5) = 2x - 5

Therefore, the simplified expression is 2x-5.

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The given question is incomplete, the complete question is

Apply the inverse properties of logarithmic and exponential functions to simplify the expression. ㏑e^(2x-5)

The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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9λe−3λ

We compute first the CDF of λ given X = 1.

By hypothesis,

P(X = 1 |Λ) = E(1X=1 |Λ) = e−Λ

P(X = 1) .

By differentiate the CDF w.r.t. λ, we obtain the PDF:

f(λ | X = 1) = 9λe−3λ

What does CDF mean?

An additional technique for describing the distributions of random variables is to use the functional form (CDF) of a random process. The CDF's benefit is that any type of random variable may be defined using it (discrete, continuous, and mixed).

How do you determine a distribution's CDF?

F(x) is used to represent the cumulative distribution functions (CDF) of a random variable X and is defined as F(x) = Pr(X x).

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The conditional PDF or CDF of the λ is 9λe−3λ.

The functional form (CDF) of a random process is another method for describing the distributions of random variables. The CDF has the advantage of allowing any type of random variable to be defined (discrete, continuous, and mixed).

F(x) is a function that is used to represent the cumulative distribution functions (CDF) of a random variable X. It is defined as F(x) = Pr (X x).

First, we compute the CDF for X = 1.

P(X = 1 |) = E(1|X=1 |) = e P(X = 1), according to hypothesis.

We obtain the PDF by differentiating the CDF with respect to:

f(λ | X = 1) = 9λe−3λ

Therefore conditional pdf of the λ is 9λe−3λ.

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Answer:

\(\frac{1}{27}\)

Step-by-step explanation:

Since there are a total of three buckets and only one can be chosen at a time, this would mean that the probability of a ball being placed in a bucket is 1/3. Since each ball has the same probability of being placed into any bucket regardless of the where the previous ball landed, it means that each ball has the same 1/3 probability of a bucket. In order to find the probability that all three land in the same bucket, we need to multiply this probability together for each one of the balls like so...

\(\frac{1}{3} * \frac{1}{3} * \frac{1}{3} = \frac{1}{27}\)

Finally, we see that the probability of all three balls landing in the same bucket is \(\frac{1}{27}\)

Answer:

Mean: 3

Median: 2

Mode: 1

Range: 6

Step-by-step explanation:

1.) The mean is the average of all the numbers. To find it, you add up all the numbers and then divide that by the amount of numbers. So, you would do:   7 + 2 + 1 + 4 + 1 = 15

15 ÷ 5 = 3

The mean is 3.

2.) The median is the middle number. In order to find it, you must put all the numbers in order:

1, 1, 2, 4, 7

The middle number is 2, so the median is 2.

3.) Mode is the number that appears the most often. Because 1 appears twice and the rest only appear once, the mode is 1.

4.) The range is the difference between the biggest and smallest numbers. Since 7 is the biggest number and 1 is the smallest, you would subtract them. 7-1 is 6, so the range would be 6.

Answer:

The total profit the company earns after selling 100 boards is $3,000 hope this helps! :)

$3000 is the ANSWER EDG 2022

Step-by-step explanation:

The supremum of the set A does not exist (it is negative infinity), and the infimum of the set A is 1.

To define the supremum and infimum of the set A, we first need to determine the properties of the set.

The set A is defined as A = {(x-3)/(x-2) ∈ R : x < 0}.

To find the supremum (also known as the least upper bound) of A, we need to find the smallest value that is greater than or equal to all the elements of A. In other words, we are looking for the least upper bound of the set A.

Let's analyze the elements of A:

For x < 0, the expression (x-3)/(x-2) can take on different values depending on the value of x. We need to find the maximum value that this expression can reach for all x < 0.

As x approaches 0 from the left side, (x-3)/(x-2) approaches negative infinity. Therefore, there is no finite supremum for the set A.

Next, let's find the infimum (also known as the greatest lower bound) of A. We need to find the largest value that is less than or equal to all the elements of A. In other words, we are looking for the greatest lower bound of the set A.

Again, analyzing the elements of A:

As x approaches negative infinity, (x-3)/(x-2) approaches 1. Therefore, the infimum of the set A is 1.

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The quadratic equation with zeros at -6 and 2 is y² + 4y - 12 = 0. This is in standard form, which is ax² + bx + c = 0, with a = 1, b = 4, and c = -12.

To find the quadratic equation with zeros at -6 and 2, we can start by using the fact that if a quadratic equation has roots x₁ and x₂, then it can be written in the form

(y - x₁)(y - x₂) = 0

where y is the variable in the quadratic equation.

Substituting the given values of the zeros, we get

(y - (-6))(y - 2) = 0

Simplifying this expression, we get

(y + 6)(y - 2) = 0

Expanding this expression, we get

y² - 2y + 6y - 12 = 0

Simplifying this expression further, we get

y² + 4y - 12 = 0

So the quadratic equation with zeros at -6 and 2 is

y² + 4y - 12 = 0

This is the standard form of a quadratic equation, which is

ax² + bx + c = 0

where a, b, and c are constants. In this case, a = 1, b = 4, and c = -12.

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Answer:117

Step-by-step explanation:

I’m good at math

Answer:

117 Roses

Step-by-step explanation:

234 *0.5 = 117

Answer:

a) 0.25 stands for 25 cents per mile

b) 32 stands for $32 just to rent the car

Step-by-step explanation:

Answer:

85

Step-by-step explanation:

Answer:

(2b-a)x(2b-3)x(2b+3)

Step-by-step explanation:

The two most common graphical charting techniques are bar charts and line charts. (Option B)

The two most common graphical charting techniques are bar charts and line charts.

Bar charts are used to represent categorical data by displaying rectangular bars of different heights, where the length of each bar represents a specific category and the height represents the corresponding value or frequency.

Line charts, on the other hand, are used to represent the trend or relationship between data points over a continuous period or interval. Line charts connect data points with straight lines to show the progression or change in values over time or other continuous variables.

Option B) bar charts and line charts accurately represent the two most common graphical charting techniques used in data visualization. Vertical and horizontal charts (option A) are not specific chart types but rather describe the orientation of the axes. Series charts (option C) and printed charts and screen charts (option D) are not commonly used terms in the context of charting techniques.

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In this expression, the Constant Rate of change will be $6.25

Given that Steven earns $31.25 for 5 hours and $50 for 8 hours. In this, we can say that there is a constant Rate of change which is charged for each hour Steven works.

Constant Rate of Change is when the Rate of an expression remains constant throughout system equations. In this case, we can find out the constant rate of change by:

Taking expression, Amount = C.R. * Hours, where C.R is Constant Rate 'x'

So, we get:  Amount = x * Hours.

Comparing this expression to given conditions we get:

For Amount 31.25 and 5 Hours: 31.25 = 5x  => x = 6.25

For Amount 50 and 8 Hours: 50 = 8x   => x = 6.25

Here, the rate of change is constant in both cases which tells that Steven charges a Constant of $6.25 for a single hour.

Hence, the Constant Rate of change will be: $6.25

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If r is < 0, then lambda must be:  Less than 0, Less than 1, Greater than 1  and Greater than 0. The correct answers are: A), B), C), and D).

Recall that the exponential growth or decay model is given by the function:

\(y = y0 * e^(rt)\)

where y0 is the initial value of the function, r is the rate of change (growth or decay), t is the time, and e is the mathematical constant approximately equal to 2.71828.

If r < 0, then the function represents exponential decay, and we have:

\(y = y0 * e^(rt)\)

y/y0 = e^(rt)

Taking the natural logarithm of both sides, we get:

ln(y/y0) = rt

r = (1/t) * ln(y/y0)

Since ln(y/y0) is the natural logarithm of a ratio, it can take any real value. Therefore, r can take any negative value, and there is no restriction on the value of lambda (which is\(e^r\)).

So, the correct answers are: A), B), C), and D).

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Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

Answer:

223$

Step-by-step explanation:

318.50×30% =95.5

discount= 95.5

new bill= 223$

Answer:

.

Step-by-step explanation:

If you need any explanation you can communicate with me

Answer:

y + 5x + 8

Explanation:

Move numbers or variable:

y + 5x + 8

Additional Information:

x + y + 1

This has three terms, coefficient of 1, constant of 1

Answer:

\(\huge\boxed{\bf\: x + 5y + 8}\)

Step-by-step explanation:

We need to make an expression using the given conditions. Let's look at them in order.

Condition 1:

If the expression has three terms then let's take the three terms as, x, y & z. Therefore, the expression uoto now = x + y + z.

Condition 2:

Now, the expression has a term with coefficient = 5. Let's put 'y' with coefficient 5 since the second term has two blanks in the question. So, expression = x + 5y + z.

Condition 3:

The expression also has a constant 8. By substituting the value of 'z' with 8 (as 'z' is not given in the options), we get the final expression as → x + 5y + 8.

\(\rule{150pt}{2pt}\)

Answer:

(x + 8) (x - 8)

Step-by-step explanation:

To factorise the expression follow the steps:

Think the factorising means you want like:-

  ( x + _ ) ( x + _ )

Now, add the numbers to get 0 & multiple together to get -64

 -64 = 8 x -8

 8 + -8 = 0

Now fill the numbers in the factorising mean which will give you,

( x + _ ) ( x + _ ) --> ( x + 8 ) ( x - 8 )

Therefore, the answer will be: ( x + 8 ) ( x - 8 )

I hope this will help you :)

Answer:

b

Step-by-step explanation:

Answer:

A. Quadratic, degree 2

Step-by-step explanation:

The degree is found by simply finding the term with the power of, that is the highest. Which would be 2x^2. It is raised to the 2nd power, so the degree is 2.

Answer:

4

Step-by-step explanation:

8.763 – 5.4

9 – 5 = 4

Answer:

Hope the picture will help you...........

Answer: hewo is meh hey chu am sorry but i wont be able to text here no more :{ sorry is just my parents wont let me text here and i don't think theres any other app i can text the only one is remind :0 sorry i hope we can text again :{

Step-by-step explanation: i just wish i could get out of my parents rules :P