Evaluate 7!4!/3!6! Simplyfy your answer

Answer:

we need the original answer to help with this question lol

Answer:

All i have to say is be kind. Thats all.

Step-by-step explanation:

The variance of X-bar is 12.25.

To find the variance of the sample mean (X-bar) for a normally distributed population, we can use the formula:

Variance of X-bar = (Population Variance) / (Sample Size)

In this case, the population mean (μ) is 138 and the standard deviation (σ) is 14. The population variance (σ^2) can be calculated as the square of the standard deviation, which gives us 14^2 = 196.

Since we are sampling with a batch size of 16, the sample size is also 16.

Now we can substitute these values into the formula:

Variance of X-bar = 196 / 16 = 12.25

Therefore, the variance of X-bar is 12.25.

It's important to note that the sample mean (X-bar) is an unbiased estimator of the population mean (μ). The smaller the sample size, the greater the variability of X-bar around the population mean.

As the sample size increases, the variance of X-bar decreases, indicating a more precise estimate of the population mean.

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Answer: A) \(y=13e^{-0.1359t}\)

              B) H = 5.10

              C) Yes

Step-by-step explanation: Exponential Decay function is a model that describes the reducing of an amount by a constant rate over time. Generally, it is written in the form: \(y(t)=Ce^{rt}\)

A) C is initial quantity, in this case, the initial concentration of DDT. To determine r, using the data given:

\(y(t)=Ce^{rt}\)

\(2.22=13e^{13r}\)

\(e^{13r}=0.1708\)

Using a natural logarithm property called power rule:

\(13r=ln(0.1708)\)

\(r=\frac{ln(0.1708)}{13}\)

\(r=-0.1359\)

The decay function for concentration of DDT through the years is \(y(t)=13e^{-0.1359t}\)

B) The value of H is calculated by \(y=C(0.5)^{\frac{t}{H} }\)

\(2.22=13(0.5)^{\frac{13}{H} }\)

\((0.5)^{\frac{13}{H} }=0.1708\)

Again, using power rule for logarithm:

\(\frac{13}{H} log(0.5)=log(0.1708)\)

\(\frac{13}{H} =\frac{log(0.1708)}{log(0.5)}\)

\(\frac{13}{H} =2.55\)

H = 5.10

Constant H in the half-life formula is H=5.10

C) Using model \(y(t)=13e^{-0.1359t}\) to determine concentration of DDT in 1995:

\(y(24)=13e^{-0.1359.24}\)

y(24) = 0.5

By 1995, the concentration of DDT is 0.5 ppm, so using this model is possible to reduce such amount and more of DDT.

Answer:

.42

Step-by-step explanation:

Considering the definition of distance between two points, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

The distance between two points is equal to the length of the segment that joins them. Therefore, to determine the distance between two different points, you must calculate the squares of the differences between their coordinates and then find the root of the sum of said squares.

In other words, the distance between two points in space is the magnitude of the vector formed by said points.

So, given the coordinates of two distinct points (x1, y1) and (x2, y2), the distance between two points is the square root of the sum of the squares of the difference of the coordinates of the points:

distance= \(\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)

In this case, you know:

Replacing in the definition of distance:

distance= \(\sqrt{(5-(-2))^{2} +(-4-1)^{2} }\)

distance= \(\sqrt{(5+2)^{2} +(-5)^{2} }\)

distance= \(\sqrt{7^{2} +(-5)^{2} }\)

distance= \(\sqrt{49+25 }\)

distance= √74= 8.6023

Finally, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

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The probability that the salesman sells a deluxe and a standard encyclopedia on his two appointments is 0.126.

To calculate this probability, we can use the multiplication rule of probability, which states that the probability of two independent events occurring together is the product of their individual probabilities.

Let S1 be the event that the salesman makes a sale on his first appointment, and S2 be the event that he makes a sale on his second appointment. Let D1 be the event that the sale is for the deluxe model, and S1 be the event that the sale is for the standard model.

Then, the probability of selling a deluxe model on the first appointment is 0.3 * 0.5 = 0.15 (since there is a 50% chance of selling a deluxe model). The probability of selling a standard model on the second appointment is 0.4 * 0.5 = 0.3 (since there is a 50% chance of selling a standard model).

Therefore, the probability of selling a deluxe model on the first appointment and a standard model on the second appointment is 0.15 * 0.3 = 0.045. However, this can also occur in reverse order (i.e., selling a standard model on the first appointment and a deluxe model on the second appointment), so we need to double the probability to get the final answer: 0.045 * 2 = 0.09.

Finally, the probability that both events occur (selling a deluxe and a standard encyclopedia on his two appointments) is 0.09 * 2 = 0.126.

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They are integers that follow one right after another. For example the set {1,2,3,4,5} represents consecutive numbers. Another example would be {9,10,11,12,13}

In general, if x is some integer, then x+1 is the next integer right after x, and x+2 is right after x+1 and so on. The list is {x, x+1, x+2, x+3, ...} representing any general set of consecutive numbers.

Answer and Step-by-step explanation:

Solution:

(a)

The waveform has even symmetry.

(b) Obtain its cosine/sine Fourier series representation.

Given:

Period = T = 4 s

W0 = 2π/ T = π / 2 rad/s

F(t) =   { -5t( -2≤t≤5t                         0s≤  t ≤2s                   )}

a0= 1/ T ∫_(-t/2)^(t/2)f(t)dt

    = 1/4 [ ∫_(-2)^0〖-5tdt+ ∫_0^25tdt〗]

  = 1/4 [5/2 x 4 + 5/2 x 4]

  = 1/4 [20 /2 + 20 / 2]

  = 1/4 [10 + 10]

 = 1/4 (20)

 = 5

An= 2/T  ∫_(-t/2)^(t/2)〖f(t)cos⁡(nw0t)dt〗

   = 1/2 [∫_(-2)^0〖-5tcos(nπ/2)tdt+ ∫_0^2〖5tcos(nπ/2)tdt〗〗]

   = 20 / n2π2 [ cos(nπ) – 1]  

 Bn = 0

(Even symmetry)

F(t) = 5 + Ʃn=1∞  20 / n2π2 [ cos(nπ) -1] (cos (nπ/2)t)

Answer:

1. − 5/4

2. 77/3

Step-by-step explanation:

SO SORRY IF THIS IS WRONG!! T^T

Answer:

Perimeter: 16x + 16

Area: 40x + 15

Step-by-step explanation:

Remember, the perimeter is the sum of all the sides of a figure, it can be found by adding up all the sides. The area is the space within the figure, in the case of a quadrilateral can be found by multiplying the length by the width. Finally, in a rectangle, the opposite sides are congruent, parallel, and intersect in 90degree (right) angles.

Using this,

1. Find the perimeter

Since opposite sides are congruent, there will be two sides with a measure of ( 8x + 3 ), and two sides with the measure of 5. Hence the sum of all the sides would be

8x + 3 + 8x + 3 + 5 + 5

Add them together,

16x + 16.

The perimeter of the figure is 16x + 16

2. Find the area,

To find the area of a rectangle, multiply the length by the width.;

( 8x + 3 ) * 5

Distribute:

40x + 15

The area of the figure is 40x + 15

Answer:  x<10

Step-by-step explanation:

2x-8<12

2x-8+8<12+8

2x<20

\(\frac{2x}{2}\)<\(\frac{20}{2}\)

x<10

Answer/Step-by-step explanation:

Area of a semicircle = ½πr²

Perimeter of a semicircle = πr + d

7. d = 14 m

r = ½ of d = 7 m

Area = ½*π*7² = ½*π*49

✅Area = 76.97 m² (nearest hundredth)

Perimeter = π*7 + 14

✅Perimeter = 35.99 m (nearest hundredth)

8. d = 35 in.

r = ½ of d = 17.5 in.

Area = ½*π*17.5² = ½*π*306.25

✅Area = 481.06 in.² (nearest hundredth)

Perimeter = π*17.5 + 35

✅Perimeter = 89.98 in (nearest hundredth)

Answer:

0.749m and 2.25m

Step-by-step explanation:

to convert from centimeters to meters, you divide by 100 because there are 100cm in 1m

74.9cm/100= 0.749m and 225cm/100=2.25m

Answer:

52.4 min

Step-by-step explanation:

100% of the times are between 49.2 min and 55.5 min.

48.8% of the times are between x and 55.5 min.

Write a proportion:

(55.5 − 49.2) / 1 = (55.5 − x) / 0.488

0.488 (55.5 − 49.2) = 55.5 − x

3.0744 = 55.5 − x

x = 52.4256

Rounded to the tenths place, the time is 52.4 min.

Answer:

A

Step-by-step explanation:

anything in parenthesis will be multiplied by the number on the outside only if it has no expression between that number and the parenthesis, therefore 2 will multiply X and 5

Answer:

Let

Breadth =x

length=x+5

As we know that in a rectangle

\({\boxed{\sf Area=lb}}\)

\({:}\longrightarrow\)\(\sf x (x+5)=300\)

\({:}\longrightarrow\)\(\sf x^2+5x=300 \)

\({:}\longrightarrow\)\(\sf x^2+5x-300=0 \)

\({:}\longrightarrow\)\(\sf x^2+20x-15x-300=0 \)

\({:}\longrightarrow\)\(\sf x (x+20)-15 (x+20)=0 \)

\({:}\longrightarrow\)\(\sf (x+20)(x-15)=0 \)

\({:}\longrightarrow\)\(\sf x+20=0\:or\:x-15=0 \)

\({:}\longrightarrow\)\(\sf x=-20 (Impossible)\:or \;x=15 \)

On solving the provided questions, we can say that Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

he diameter of the ball bearings varies according to a distribution that is approximately Normal

mean 11.5 mm and standard deviation 0.05 mm

the probability that the difference in the diameters of the two ball bearings is less than 0.06 mm

Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%

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The number of minutes that the players spend running bases during each hour of practice is the constant of proportionality of the proportional relationship.

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

In the context of this problem, the variables x and y are given as follows:

The equation for the constant is given as follows:

k = y/x.

Representing the hourly time spent running times, you can calculate it taking any point (x,y) on the graph of the function.

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Answer:

$56

Step-by-step explanation:

9:00= 8$

10:00= 8$ (16)

11:00=8$ (24)

2:00=8$ (32)

3:00=8$ (40)

4:00=8$ (48)

5:00=8$ (56)

There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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Answer:

The slope is m=0

Explanation:But since the y-coordinates of the points are equal, we can find the slope easier than just by using above formula.

Explanation:But since the y-coordinates of the points are equal, we can find the slope easier than just by using above formula.If y-coordinates are equal and x-coordinates are not equal (as in our case), then the slope equals 00 (the line is horizontal).

Answer:

(B) 4

Hope this helps :)

Rewrite all 4 numbers as decimals to compare them:

88/25 = 3.52

3 11/20 = 3.55

Now arrange them in the correct order:

88/25, 3 11/20, 3.551, 3.88

Answer:

Step-by-step explanation:

all numbers are 3 and some more

start by arranging the decimals from least to greatest

3.551,  3.88

88/25 ( 25, three times is 75) = 3 and (88-75)/25 = 3 and 13/25 =3.52

3 11/12 is almost 4 because 11/12 is almost 12/12

the order is :

88/25, 3.551, 3.88, 3 11/20

Answer:

with the years labeled on the horizontal axis and the number of hours labeled on the vertical axis. The graph shows that the number of hours spent watching TV declined steadily over the 5-year period, starting at around 1750 hours in Year 1 and falling to around 1300 hours in Year 5. The graph also shows a clear, downward-sloping trend from Year 1 to Year 5.

Step-by-step explanation:

The equation of the line that passes through the points (1,6) and (2,7) is y = x + 5.

We can use the point-slope version of the equation, which is: to determine the equation of a line passing through two specified points.

y - y₁ = m(x - x₁)

where (x₁, y₁) are the coordinates of one of the points, m is the slope of the line, and (x, y) are the coordinates of any other point on the line.

Use the points (1,6) and (2,7) to find the equation of the line:

Using (x₁, y₁) = (1,6):

y - 6 = m(x - 1)

Now, substitute the coordinates (2,7) into the equation:

7 - 6 = m(2 - 1)

1 = m

So, the slope of the line is m = 1.

Substitute this value into the equation:

y - 6 = 1(x - 1)

y - 6 = x - 1

y = x + 5

Therefore, the equation of the line that passes through the points (1,6) and (2,7) is y = x + 5.

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Two-variable linear equations have a line as their graph, which is why they are referred to as linear equations. Plotting (x1,y1) and (x2,y2), then creating a line that connects the two.

\($\frac{d}{d x}\left(-(x-2)^2+1\right)$\)

Domain of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & -\infty < x < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$\)

Range of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & f(x) \leq 1 \\ \text { Interval Notation: } & (-\infty, 1]\end{array}\right]$\)

Interception zones on the axis \($-(x-2)^2+1: \quad X$\) Intercepts: \($(3,0),(1,0), Y$\)Intercepts: (0,-3) .

Vertex of \($-(x-2)^2+1: \quad$\) Maximum (2,1) .

The graph of the equation y=2x+1 shows a straight line, or it is a linear equation. When the value of x rises, eventually the value of y rises by twice the rise in x plus one. With a ruler and the specified amount as the starting point, draw a vertical line. From the line across to the -axis, create a horizontal line using a ruler. Look at the value on the -axis.

There are three fundamental ways to graph linear functions. The initial method involves charting points and then tracing a line through them. The second is by using the slope and y-intercept. The identity function f(x)=x is transformed as the third method.

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Answer:

75%

Step-by-step explanation:

100% - 25% = 75%

<3 Enjoy,

    Dea

Answer:

25.12 inches

Step-by-step explanation:

To find the circumference or the perimeter of a circle it is the diameter times pi. (pi = 3.14) Or you can do radius times 2 times pi.

Answer is 4 times 2 times 3.14 which is 25.12