What percent of 200 is 16?,,,,

Solution:

Given;

Thus;

Then;

Thus;

Answer and Step-by-step explanation: For an exponential distribution, the probability distribution function is:

f(x) = λ.\(e^{-\lambda.x}\)

and the cumulative distribution function, which describes the probability distribution of a random variable X, is:

F(x) = 1 - \(e^{-\lambda.x}\)

(a) Probability of distance at most 100m, with λ = 0.0143:

F(100) = 1 - \(e^{-0.0143.100}\)

F(100) = 0.76

Probability of distance at most 200:

F(200) = 1 - \(e^{-0.0143.200}\)

F(200) = 0.94

Probability of distance between 100 and 200:

F(100≤X≤200) = F(200) - F(100)

F(100≤X≤200) = 0.94 - 0.76

F(100≤X≤200) = 0.18

(b) The mean, E(X), of a probability distribution is calculated by:

E(X) = \(\frac{1}{\lambda}\)

E(X) = \(\frac{1}{0.0143}\)

E(X) = 69.93

The standard deviation is the square root of variance,V(X), which is calculated by:

σ = \(\sqrt{\frac{1}{\lambda^{2}} }\)

σ = \(\sqrt{\frac{1}{0.0143^{2}} }\)

σ = 69.93

Distance exceeds the mean distance by more than 2σ:

P(X > 69.93+2.69.93) = P(X > 209.79)

P(X > 209.79) = 1 - P(X≤209.79)

P(X > 209.79) = 1 - F(209.79)

P(X > 209.79) = 1 - (1 - \(e^{-0.0143*209.79}\))

P(X > 209.79) = 0.0503

(c) Median is a point that divides the value in half. For a probability distribution:

P(X≤m) = 0.5

\(\int\limits^m_0 f({x}) \, dx\) = 0.5

\(\int\limits^m_0 {\lambda.e^{-\lambda.x}} \, dx\) = 0.5

\(\lambda.\frac{e^{-\lambda.x}}{-\lambda}\) = \(-e^{-\lambda.x} + e^{0}\)

\(1 - e^{-\lambda.m}\) = 0.5

\(-e^{-\lambda.m}\) = - 0.5

ln(\(e^{-0.0143.m}\)) = ln(0.5)

-0.0143.m = - 0.0693

m = 48.46

Answer:

1.65

Step-by-step explanation:

1) Use the algorithm method.

0 . 5 5

×     3

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

1  1

1 . 6 5

Hence, a person on a 2000 calorie diet  should eat more calories approximate ratio of 200-300 calories from  vegetables and 900-1300 calories from carbohydrates.

A calorie is a measurement,  just like a teaspoon or an inch.  Calories are the amount of energy released when your body breaks down (digests and absorbs) food.  The more calories a food has, the more energy it can provide to your body

The  number of calories a person  should consume from vegetables versus carbohydrates depends on various factors  such as age, gender, activity level, body composition, and overall health status. However, in general, it is recommended that a person on a  2000 calorie diet should  consume more calories from vegetables than from carbohydrates.

The United States Department of Agriculture (USDA) recommends  that adults consume 2.5 to 3 cups of vegetables per day, depending on their age, gender, and level  of physical activity. On a 2000 calorie diet, this would amount to approximately 200-300  calories from vegetables.

For carbohydrates, the recommended  intake varies depending on the individual's energy needs,  but it generally accounts for 45-65% of their total calorie intake. This  equates to 900-1300 calories from carbohydrates on a 2000 calorie diet.

Therefore, a person on a 2000 calorie diet  should eat more calories  from vegetables than from carbohydrates, with an approximate ratio of 200-300 calories from  vegetables and 900-1300 calories from carbohydrates.

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Let x be multiply with ( 2-6 ) to get ( -10+30 )

Therefore, x ( 2 - 6 ) = (-10 + 30 )

or, x = (- 10 + 30 ) / ( 2 - 6 )

or, x = 20 / -4

or, x = -5

Therefore, -5 must be multiplied by (2 − 6) to get −10 + 30 .

Multiplying positive integers always bring about a positive integer. Multiplying negative integers constantly result in a negative integer. Multiplying a positive or negative integer usually result in a negative integer.

Multiplication and division of Integers. RULE 1: The product of a positive integer and a negative integer is negative. RULE 2: The product of positive integers is positive. RULE 3: The product of two negative integers is positive.

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Answer:

C and D

Step-by-step explanation:

Hope this helps :)

Answer:

Sue rode 1885 miles total

Step-by-step explanation:

There are 31 days in March, 30 in April, and 30 in May.

31 * 12 + 30 * 12 + 30 * 12 = 1092

There are 30 days in June and 31 in august.

30 * 13 + 31 * 13 = 793

Now we find the total:

1092 + 793 = 1885

The meaning of the statement is if you take n distinct numbers, x₁, ..., xₙ, and permute them in all possible ways, the number of different values that the function f(x₁, ..., xₙ) can take on will be a divisor of n!.

This assertion is a specific instance of a broader concept known as the Principle of Inclusion-Exclusion in the field of combinatorics. The Principle of Inclusion-Exclusion asserts that when dealing with a set comprising n elements and aiming to determine the number of possible subsets that can be selected, one can arrive at this figure by summing up the number of options for choosing 0, 1, 2, and up to n elements from the set.

Regarding the aforementioned assertion, the collection of components comprises every potential arrangement of the numerical values x₁, ..., xₙ. There is only one possible way to choose 0 elements, there are n options for choosing 1 element, selecting 2 elements can be done in n(n-1)/2 ways, and the pattern continues.

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Answer:

Option 3 :

x → 7+, y → –[infinity]

Step-by-step explanation:

f(x) = (-2x² + 14)/(x² - 49)

x² - 49 = (x + 7)(x - 7)

Hence f(x) goes to infinity at x = - 7 or 7

x < - 7 = (-ve)(-ve) = + ve

=> x → –7–

Here, x² - 49 is + ve

-7 < x < 7 = (+ve)(-ve) = - ve

=> x → –7+ or x → 7– .

here, x² - 49 is - ve

x > 7 = (+ve)(+ve) = + ve

=> x → 7+

Here, x² - 49 is + ve

So (-2x² + 14) is - ve for all [ x → –7– , x → –7+ , x → 7– , x → 7+ ]

As,

-2(-7)² + 14 = -84 and -2(+7)² + 14 = -84

x → –7– = (-ve)/(+ve)

=> y → -[infinity].

x → –7+ or x → 7– = (-ve)/(-ve)

=> y → [infinity]

x → 7+ = (-ve)/(+ve)

=> y → -[infinity].

x → 7+, y → –[infinity]. is the correct option

The statement (C) as x approaches 7 from the left, y approaches -∞ describe the behavior of the graph of the function.

It is defined as a spceial type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a rational function:

\(\rm f(x) =\dfrac{-2x^2+14}{x^2-49}\)

x² - 49 cannot be zero:

x² - 49 ≠ 0

x ≠ 7, x ≠  -7

From the graph, as x approaches 7 from the left, y approaches -∞

Thus, the statement (C) as x approaches 7 from the left, y approaches -∞ describe the behavior of the graph of the function.

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Answer:

A. 6

Step-by-step explanation:

Use the formula  x = − b /2 a  to find the maximum and minimum.

( − 2 , 6 )

Answer:

140

Step-by-step explanation:

PENN

Hence angle AOE has a measure of 120 Degrees.

An angle is a combination of two rays (half-lines) with a common endpoint.

When an angle is formed or drawn or opened clockwise , then we measure it using the upper scale of the protractor , and if the angle or its arc goes anticlockwise , we measure it using the bottom scale of the protractor.

According to the figure , the angle has been opened anticlockwise.

(Observe carefully , AOB , then AOC , AOD and so on. Suppose that O  is the center of a clock and OA is the needle which is moving anticlockwise from position OA, OB, OC and so on).

So we will use the bottom or lower scale of the protractor. Line Segment OE of angle AOE is bisecting the Lower scale of the protractor at 120 degrees.

Hence angle AOE has a measure of 120 Degrees.

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We will have the following:

The values that satisfy the expression are:

Answer:

B

Step-by-step explanation:

Answer:here!!

-2

Step-by-step explanation:

Answer:

look at the attached image

Step-by-step explanation:

The number of students who got actually enrolled are, 5400

A percentage is a number or ratio that can be expressed as a fraction of 100.

Given that, a large university accepts ​60% of the students who apply. Of the students the university​ accepts, ​45% actually enroll, there are 20,000 students​ apply,

Since, the students whose application has been accepted = 20000 × 60%

= 12000

Now, the students who got admission = 12000 × 45%

= 5400

Hence, the number of students who got actually enrolled are, 5400

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The cosine equation of the function shown is f(x) = 4cos(x) + 3

From the question, we have the following parameters that can be used in our computation:

The graph

From the graph, we can see that the function is shifted up

Next, we enter the points in a graphing calculator to determine the function

From the graph, we have

f(x) = 4cos(x) + 3

Hence, the equation is f(x) = 4cos(x) + 3

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Answer:

The first step is to label the points being (1,2.3),(6,6.8) in which the first ordered pairs is the number of weeks, and the second one is the dollars in millions.

Hence, the slope is: m=(6.8-2.3)/(6-1) = 4.5/5 = 9/10 = 0.9

The slope represents the dollar rate in the millions per week. In this case, the movie grossed $0.9 million per week from week one to the sixth week.

Answer:

15p + 10

Step-by-step explanation:

5 (3p+2)

15p + 10

Answer:

the answer is none of the answer choices

Answer:

the answer is none of the answer choices

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Expression: \(\displaystyle\sf (6-2x) +(15-3x)\)

Substituting \(\displaystyle\sf x=0.2\):

\(\displaystyle\sf (6-2(0.2)) +(15-3(0.2))\)

Simplifying the expression inside the parentheses:

\(\displaystyle\sf (6-0.4) +(15-0.6)\)

\(\displaystyle\sf 5.6 +14.4\)

Calculating the sum:

\(\displaystyle\sf 20\)

Therefore, \(\displaystyle\sf (6-2x) +(15-3x)\) evaluated at \(\displaystyle\sf x=0.2\) is equal to \(\displaystyle\sf 20\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

x = -13

Step-by-step explanation:

Find LCM for 5 , 10.  LCM of 5 , 10= 10

\(\frac{x-3}{5}-\frac{x+1}{10}= -2\\\\\frac{(x-3)*2}{5*2}-\frac{x+1}{10}=-2\\\\\\\frac{2x-6}{10}-\frac{x+1}{10}\\\\\\\frac{2x - 6 - (x+1)}{10}= -2\\\\\\\frac{2x - 6 - x -1}{10} = -2\\\\\\\frac{2x -x - 6 - 1}{10} = -2 \\\\\\\frac{x - 7}{10} = -2\\\\\\)

Cross multiply,

x - 7 = -2 * 10

x - 7 = -20

     x = -20 + 7

    x = -13

To find the cost per square foot of the wallpaper used to cover the rectangular prism storage box, we need to determine the total area covered by the wallpaper and divide it by the total cost.

Let's assume the dimensions of the rectangular prism are length (L), width (W), and height (H). The box has six faces, each of which needs to be covered with wallpaper.

The total surface area of the box is given by:

Surface Area = 2(LW + LH + WH)

Since all the sides of the box are covered with wallpaper, the total surface area is the area covered by the wallpaper. We can set up an equation using this information:

2(LW + LH + WH) = $860

Simplifying the equation, we have

LW + LH + WH = $430

Now, to find the cost per square foot, we need to divide the total cost by the total area covered by the wallpaper. The total area covered is LW + LH + WH.

Let's assume the cost per square foot is C dollars. The total cost is given as $860. Therefore, we can set up the equation:

C * (LW + LH + WH) = $860

Now we can solve for C:

C = $860 / (LW + LH + WH)

The resulting value will give us the cost per square foot of the wallpaper.

Note: If you provide specific dimensions for the length, width, and height of the box, we can calculate the exact cost per square foot.

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The angle A for the given triangle will be 57°.

What is a triangle's definition?

In geometry, triangles have three sides and three vertices. This two-dimensional figure has three straight sides. A triangle is a three-sided polygon. The total of three triangle angles equals 180°. The triangle is enclosed by only one plane. Triangles are classified into three different categories based on their sides.

Scalene Triangle - The length of each side varies.

Isosceles Triangle - A triangle having two equal-length sides and one that is not.

Equilateral Triangle - A triangle with three sides of equal length.

Now,

let the right angle is at B

then AB=Base=7 and BC=perpendicular=11

then Tan A=B/P=11/7

Tan A=1.57

∠A=57°

hence,

          The angle A for the given triangle will be 57°.

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Answer:

Wdym number?

Improper Fraction: (17/10)

Whole Fraction: 1 (7/10)

Otherwise... I'm not sure what you mean numbers...?

Check the picture below.

Step-by-step explanation:

let's say a is length, and b is width:

a = 10 + b

after this, we can write:

2(a + b) = 72

2(10 + b + b) = 72

2(10 + 2b) = 72

20 + 4b = 72

4b = 72 - 20

4b = 52

b = 52 ÷ 4

b = 13

if b = 13, then a = 10 + b = 10 + 13 = 23

so: a = 23 and b = 13

Answer:
V = 180 (vans)

S = 90 (small trucks)

L = 40 (large trucks)

Step-by-step explanation:

Set up the variables: Let V represent the number of vans, S represent the number of small trucks, and L represent the number of large trucks.

Write the equations:

V + S + L = 310 (total number of vehicles)

V = 2S (twice as many vans as small trucks)

35,000V + 70,000S + 60,000L = 15,000,000 (total cost of the vehicles)

Substitute equation 2) into equation 1):

2S + S + L = 310

3S + L = 310

Simplify equation 3) by substituting V = 2S:

70,000S + 70,000S + 60,000L = 15,000,000

140,000S + 60,000L = 15,000,000

Set up a system of equations:

3S + L = 310

140,000S + 60,000L = 15,000,000

Eliminate L by multiplying equation 1) by 60,000:

60,000(3S + L) = 60,000(310)

180,000S + 60,000L = 18,600,000

Subtract equation 2) from the new equation:

(180,000S + 60,000L) - (140,000S + 60,000L) = 18,600,000 - 15,000,000

40,000S = 3,600,000

Solve for S:

S = 90

Substitute the value of S into equation 1) to solve for L:

3(90) + L = 310

270 + L = 310

L = 40

Substitute the values of S and L into equation 2) to solve for V:

V = 2S

V = 2(90)

V = 180

The final answer is:

V = 180 (vans)

S = 90 (small trucks)

L = 40 (large trucks)

Answer:

180 Vans 90 Small trucks and 40 Large trucks

Step-by-step explanation: