Define a variable and write an inequality to model the given situation. The restaurant can seat at most 154 people. *** If p is the restaurant's capacity, which of the following inequalities models the given situation?
A. p≥ 154
B. p≤ 154
C. p< 154
D. p>154
Answers
Answer:
B. p ≤ 154
Hope that helps :)
Step-by-step explanation:
The restaurant can hold 154 people or less than that.
Related Questions
find the distributions of the random variables that have each of the following moment- generating functions: (a) m(t) = [(1/3)et (2/3)]5 (b) m(t) = et 2 −et (c) m(t) = e2(et−1)
Answers
The distribution of the random variable corresponding to m(t) is a log-normal distribution with mean e^2 and standard deviation e^(2/2).
The moment-generating function m(t) = [(1/3)et (2/3)]5 can be written as the product of five independent moment-generating functions, each corresponding to a random variable with exponential distribution parameter 1/3. Therefore, the distribution of the random variable corresponding to m(t) is the gamma distribution with shape parameter 5 and rate parameter 1/3.Moment generating functions are useful for several reasons, one of which is their application to analysis of sums of random variables. There are basically two reasons for this. First, the MGF of X:gives us all moments of X. That is why it is called the moment generating function. Second, the MGF (if it exists) uniquely determines the distribution. That is, if two random variables have the same MGF, then they must have the same distribution. The moment-generating function m(t) = et 2 −et corresponds to a random variable with a symmetric Laplace distribution. The probability density function of a symmetric Laplace distribution is given by f(x) = (1/2)exp(-|x|). Therefore, the distribution of the random variable corresponding to m(t) is a symmetric Laplace distribution.The moment-generating function m(t) = e2(et−1) corresponds to a random variable with a log-normal distribution. The probability density function of a log-normal distribution is given by f(x) = (1/xσ√(2π))exp(-[ln(x)-μ]^2/(2σ^2)), where μ is the mean and σ is the standard deviation of the corresponding normal distribution.
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Please help will mark brainliest
Answers
Answer:
-4
Step-by-step explanation:
Answer:
y = 1/3x - 3
Step-by-step explanation:
A toy is in the form of a cone mounted on a hemisphere of the same diameter. the radius of the base is 5cm and height of the cone is 12cm
Answers
Answer:
Step-by-step explanation:
Given the radius of the base of the cone is 5 cm and the height of the cone is 12 cm, we can find the volume of the toy as follows:
Volume of the cone:
The volume of a cone can be found using the formula: V = (π * r^2 * h) / 3, where r is the radius and h is the height of the cone.
Plugging in the values, we get:
V = (π * 5^2 * 12) / 3 = 100π cm^3
Volume of the hemisphere:
The volume of a hemisphere can be found using the formula: V = (4/3) * π * r^3, where r is the radius of the hemisphere.
Plugging in the values, we get:
V = (4/3) * π * 5^3 = (4/3) * π * 125 = 500π / 3 cm^3
Total volume of the toy:
The total volume of the toy is equal to the sum of the volume of the cone and the volume of the hemisphere:
V = 100π + 500π / 3 = (100 + 500 / 3) * π = 600π / 3 cm^3
So, the total volume of the toy is 600π / 3 cubic centimeters.
What is the prime factorization of 21?Enter your answer as a product of prime numbers, like 2 X 3, or asa single prime number. like 17.
Answers
Answer:
The prime factorization of 21 is;
\(21=3\times7\)Explanation:
We want to find the prime factorization of 21;
The number 21 is a product of 3 and 7;
\(21=3\times7\)since 3 and 7 are both prime number, then the prime factorization of 21 is;
\(21=3\times7\)For which values of A, B, and C will Ax + By = C be a horizontal line through the point (4, -9)?
Answers
Answer:
Step-by-step explanation:
no
find the directions in which the function increases and decreases most rapidly at p0. then find the derivatives of the function in those directions. f(x,y,z)=2ln(xy) 2ln(yz) 2ln(xz), p0(1,1,1)
Answers
The derivative of f in the direction of u = <4, 4, 4> is 48√3.
What is derivative?
The derivative of a function represents the rate at which the function changes with respect to its independent variable(s). It measures the slope or steepness of the function at a specific point.
To find the directions in which the function increases and decreases most rapidly at point P0(1, 1, 1), we need to calculate the gradient vector (∇f) at that point and identify its components. The gradient vector will point in the direction of the steepest increase in the function.
Given the function f(x, y, z) = 2ln(xy) + 2ln(yz) + 2ln(xz), we can calculate the partial derivatives with respect to each variable:
∂f/∂x = 2/y + 2/z
∂f/∂y = 2/x + 2/z
∂f/∂z = 2/x + 2/y
Now, we evaluate the partial derivatives at point P₀(1, 1, 1):
∂f/∂x = 2/1 + 2/1 = 4
∂f/∂y = 2/1 + 2/1 = 4
∂f/∂z = 2/1 + 2/1 = 4
So, the gradient vector at P0(1, 1, 1) is (∇f) = <4, 4, 4>. The components of this vector indicate that the function increases most rapidly in all directions at that point.
To find the derivatives of the function in those directions, we can take the dot product of the gradient vector (∇f) with a unit vector in each direction at that point.
u = <4, 4, 4> / √(1² + 1² + 1²) = <4/√3, 4/√3, 4/√3>
To find the derivative of f in the direction of u, we take the dot product:
∇f · u = <4, 4, 4> · <4/√3, 4/√3, 4/√3> = 16/√3 + 16/√3 + 16/√3 = 48√3
So, the derivative of f in the direction of u = <4, 4, 4> is 48√3.
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What is 12 1/2 X 4? I rlly need to know
Answers
SOLUTION
We want to solve
\(12\frac{1}{2}\times4\)To do this, change the mixed fraction into improper fraction.
We say, 2 multiplied by 12, then plus 1. We write the result as the numerator over the denominator which is 2. That is
\(\begin{gathered} 12\frac{1}{2}\text{ to improper fraction becomes } \\ 2\times12=24 \\ 24=1=25.\text{ this becomes } \\ \frac{25}{2} \end{gathered}\)We then multiply by 4, we have
\(\begin{gathered} \frac{25}{2}\times4 \\ This\text{ becomes } \\ \frac{25}{2}\times\frac{4}{1} \\ 2\text{ cancels itself is 1, and into 4, it is 2. So we have } \\ \frac{25}{1}\times\frac{2}{1} \\ =\frac{25\times2}{1\times1} \\ =\frac{50}{1} \\ =50 \end{gathered}\)Hence the answer is 50
Select the correct answer. Simon used these steps to solve an equation: Step 1: -6(x + 7) = 2(x − 11) Step 2: -6x − 42 = 2x − 22 Step 3: -8x − 42 = -22 Step 4: -8x = 20 Which property did he use to get from step 3 to step 4? A. addition property of equality B. distributive property C. subtraction property of equality D. transitive property
Answers
From the steps Simon used in solving the equation, the property he applied to get to step 4 from step 3 is: A. addition property of equality.
What is the Addition Property of Equality?The addition property of equality states that to balance an equation, whatever value we add to one side of an equation must be added also from the other side of the equation.
In step 3, we have the following equation:
-8x - 42 = -22
Simon applied the addition property of equality by adding 42 to both sides of the equation to get -8x = 20 in step 4.
Thus:-8x - 42 + 42 = -22 + 42
-8x = 20
Therefore, from the steps Simon used in solving the equation, the property he applied to get to step 4 from step 3 is: A. addition property of equality.
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You can use the small-angle formula to relate the size of an object (x) to the distance to the object (d). This allows you to calculate the physical characteristics of an object even if you cannot directly measure them. Let's imagine the size (x) of an object doubles. In order to keep the angular size ( θ ) of the object the same, you would need to the distance (c).
Answers
If the size of an object doubles, the new distance needs to be square root of 2 times the original distance to keep the same angular size.
To relate the size of an object (x) to the distance to the object (d), you can use the small-angle formula. This formula is θ = x/d, where θ represents the angular size of the object.
If the size of an object doubles, you need to find the new distance (c) in order to keep the angular size the same.
To calculate the new distance (c), you can rearrange the small-angle formula. Since the angular size (θ) remains the same, the new size of the object will be 2x.
So, the equation becomes θ = 2x/c.
To find the new distance (c), you need to solve for c. Rearrange the equation as c = 2x/θ.
Now you can plug in the values for the new size of the object (2x) and the angular size (θ) to calculate the new distance (c).
Remember to use consistent units for accurate results.
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What does 25 DIVIDE by 3 equal?
Answers
Step-by-step explanation:
25/3 = 8.33
hope it's helpful
8.3333
OR
8 1/3
OR
8 remainder 1
5x+ 20 = 90 solve for x
Answers
Answer:
This is your answer
joyce paid $210 for an item at the store that was 55 percent of the original price. what was the original price?
Answers
Answer:
Step-by-step explanation:
Answer : Original price 382
55% of 382 = $210
analyze the worst-case time complexity of the algorithm you devised in exercise 35 of section 3.1 for finding the first term of a sequence less than the immediately preceding term.
Answers
The overall worst-case time complexity of the algorithm is O(n).
What is the worst-case time complexity for the algorithm described in exercise 35 of section 3.1?To analyze the worst-case time complexity of the algorithm from exercise 35 of section 3.1, we can follow these steps:
1. Review the algorithm: Recall the algorithm designed in exercise 35, which aims to find the first term of a sequence less than the immediately preceding term.
2. Identify the loop: The main part of the algorithm is a loop that iterates through the sequence of numbers, comparing each term to the previous one.
3. Count the operations: For each iteration of the loop, there are a constant number of operations, such as comparisons and variable assignments.
4. Determine the number of iterations: In the worst-case scenario, the algorithm has to iterate through the entire sequence to find the first term that is less than the immediately preceding term. If the sequence has n elements, the algorithm will have n-1 iterations, since we compare each element with its previous one.
5. Calculate the time complexity: Since each iteration takes a constant amount of time, and there are n-1 iterations in the worst case, the overall worst-case time complexity of the algorithm is O(n). This means that the time complexity grows linearly with the length of the input sequence.
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Allison plays basketball and last season she made a total of 87 shots (two- or three- point shots). Her points total was 191. How many three-points shots did she make
Answers
Answer:
17
Step-by-step explanation:
Let the number of 2 point shots be t.
Let the number of 3 point shots be h.
Allison made 87 shots and scored 191 total points. This implies two things:
t + h = 87 ________(1)
2t + 3h = 191 ______(2)
Let us eliminate t by multiplying (1) by 2 and subtracting from (2):
=> 2t + 3h = 191
- 2t + 2h = 174
h = 17
Therefore, she made 17 three point shots.
cual es la fraccion Unitaria mas Grande?
Answers
At the city museum, child admission is $6.10 and adult admission is $9.90. On Friday, four times as many adult tickets as child tickets were sold, for a total sales of $1188.20. How many child tickets were sold that day?
Answers
Answer: 26 child tickets were sold that day.
Step-by-step explanation:
Let's say the number of child tickets sold is "x".
According to the problem, the number of adult tickets sold is four times the number of child tickets sold. So, the number of adult tickets sold would be 4x.
6.10x + 9.90(4x) = 1188.20
6.10x + 39.60x = 1188.20
45.70x = 1188.20
x = 26
Let X and Y be two uniformly distributed random variables over [0,1). Find the probability P [X² +Y²
Answers
The probability P[X² + Y² < 1] is equal to π/4.
To find the probability P[X² + Y² < 1], we need to consider the geometric interpretation of the inequality. The inequality X² + Y² < 1 represents the interior of the unit circle centered at (0,0) in the xy-plane.
Since X and Y are uniformly distributed random variables over [0,1), their joint distribution forms a square with side length 1. The area of this square is 1*1 = 1.
To find the probability of the event X² + Y² < 1, we need to determine the area of the region that satisfies this condition. This region is the interior of the unit circle.
The area of a unit circle with radius 1 is πr² = π(1)² = π.
Therefore, the probability P[X² + Y² < 1] is equal to the area of the unit circle divided by the total area of the square, which is π/1 = π.
Hence, the probability P[X² + Y² < 1] is equal to π/4, as π is the area of the unit circle and 4 is the area of the square.
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Which graph represents an increasing function? (1 point)
Graph A
Graph B
7
6
5
4
6
5
4
3
2
1
3
2
1
0
0
1 2 3
Graph C
Graph D
7
6
5
71
6
5
4
3
2
3
2.
1
1
0
1 2 3 4 5 6
o
a
Graph A
b
Graph B
CO
с
Graphc
d
Graph D
Answers
Answer:
graph b
Step-by-step explanation:
it's the only one that has a positive slope
The graph that represents an increasing function from the given graphs is graph B.
What graph represents an increasing function?A graph can be described as a pictoral representation of data. A graph exhibits an increasing function if the graph is upward sloping. A graph exhibits a decreasing function if the graph is downward sloping. A graph exhibits a constant function if its a straight line.
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2 triangles are shown. The first triangle has side lengths x, x, 50. The second triangle has side lengths 45, 45, 75.
What value of x will make the triangles similar by the SSS similarity theorem?
1.5
20
30
Answers
The value of x would make the triangles similar by the SSS similarity theorem would be 30 . Option C
How to determine the value
The SSS similarity theorem of triangles holds that if the three sides of two triangles are proportional, then the triangles are similar.
If the two triangles are to be similar, we have that:
45/x = 75/50
Cross multiply
x = (45 × 50)/75
x = 2250/75
x = 30
Therefore, the value of x would be 30 . Option C
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Can u guys help me with this question!! :)
Answers
Answer:
A
Step-by-step explanation:
5/8=0.625
0.42=0.42^2
Each toy is 8 inches tall by 12 inches wide and 6 inches wide how much space is in each box
Answers
Each box needs to have a minimum space of 576 cubic inches to hold the toy.
What is a cuboid?
A cuboid is a three-dimensional solid shape that has six rectangular faces, where each face meets at right angles with adjacent faces.
To calculate the space required for each box to hold a toy that is 8 inches tall by 12 inches wide and 6 inches deep, we need to calculate the volume of the toy.
The volume of the toy can be calculated as:
Volume = height x width x depth
Volume = 8 inches x 12 inches x 6 inches
Volume = 576 cubic inches
Therefore, each box needs to have a minimum space of 576 cubic inches to hold the toy.
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A bag contains 10 red marbles, 7 blue marbles, and 3 green marbles. You randomly select a marble from the bag, record the color, and then put that marble back in the bag. If you were to do this 200 times, how many times would you expect to pull out a blue marble?
Answers
Answer:
70
Step-by-step explanation:
We have 7 blue marbles, and 20 total marbles. As a result, if we randomly chose one marble from the bag, the probability would be (number of favorable outcomes)/(number of total outcomes) = 7/20.
This means that for each 20 trials, we would expect to pull out a blue marble 7 times, as the probability does not change over time (because we put the marbles back, there are the same amount of each marble). Over 200 trials, we can simply make it out of 200 instead of 20. We can thus multiply 7/20 by 10/10 (10/10 is equal to 1, keeping the proportions equal) to get 70/200, so we can expect 70 blue marbles out of 200.
you use a line of best fit for a set of data to make a prediction about an unknown value. the correlation coefficient for your data set is 0. how confident can you be than your predicted value will be reasonably close to the actual value?
Answers
The relationship between two variables is measured by their strength and direction using a coefficient. A score of 0 indicates a very adverse association. It is safe to assume that the anticipated number will be close to the value as a result.
When attempting to construct a correlation concerning data, lines of best fit are utilized. These correlations can be favorable (uphill), unfavorable (downhill), or not at all (points are scattered).
Based on a line of best fit, correlation coefficients will vary from -1 to +1, with -1 denoting a wholly negative association and +1 denoting a fully positive one.
The absence of a relationship would be indicated by an association value of 0. You cannot be certain that the data have a very close relationship if the correlation coefficient of the data is zero, which is nearest to 0 on a number line.
Since 0 is a strong regression coefficient, we may be sure that the projected value will be accurate.
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100 POINTS!! HELP!! MATH!!
Arrange in order from least to greatest (Radicals)
a. 4√3
b. 3√5
c. 5√2
d. 2√10
e. 2√13
f. 3√6
Answers
4/3=6.9
3/5=6.7
5/2=7
2/10=6.3
2/13=7.2
3/6=7.3
ANSWER
D,B,A,C,E,F
Find the values of X and Y
Answers
In a triangle, The value of x is, 40°
And, The value of y is, 50°
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
The triangle is show in figure.
We know that;
In a triangle, the pair of two opposite sides are equal then there corresponding angles are also equal.
Now, By figure we can formulate;
⇒ x + x + 100 = 180
Solve for x;
⇒ 2x + 100 = 180
⇒ 2x = 180 - 100
⇒ 2x = 80
⇒ x = 40
Thus, The value of x = 40°
And, We get;
⇒ x° + y° + 90° = 180°
⇒ 40 + y + 90 = 180
⇒ y + 130 = 180
⇒ y = 180 - 130
⇒ y = 50°
Thus, The value of y = 50°
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Help I will give u 5 point please someone
Answers
The sum of 2.69 + (3.84 +1.54) = 2 .69 + = 8.07.
Answers
Answer:
it is equal to 8.07
Step-by-step explanation:
help me in this please
Answers
Answer:
35 rows and 35 numbers of plants in a row.
Step-by-step explanation:
Mark as brainliest
Can sb help me not much !!!!!!a lot of points plz
Answers
Answer:
18 is Hypo
9 is leg..
MARK ME AS BRAINIEST
what is the scale factor of triangle ABC to triangle DEF? A. 1/3 B. 1/2 C. 3 D. 2
Answers
Answer: 3
Step-by-step explanation:
i just took the quiz
The required scale factor of the triangle ABC to triangle DEF is 3. Option C is correct.
Given that,
To determine the scale factor of triangle ABC to triangle DEF.
The scale factor is defined as the ratio of the modified change in length to the former length.
In mathematics, the operation and interpretation of a function to make it simple or easier to grasp is known as simplifying, and the process is known as simplification.
Here,
For Triangle ABC and Triangle DEF
The Scale factor = AB / DE = BC / EF = AC / DF
= 9 / 3 = 18 / 6 = 6 / 2 = 3
Thus, the required scale factor of the triangle ABC to triangle DEF is 3. Option C is correct.
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