Answer:
(A) 44.7°Step-by-step explanation:
Use the law of cosines:
\(cos A=(b^2+c^2-a^2)/(2bc)\)\(cos A=(25^2+31^2-22^2)/(2*25*31)=0.711\)m∠A = arccos(0.711) ≈ 44.7°Using law of cosines
\(\\ \sf\longmapsto cosA=\dfrac{b^2+c^2-a^2}{2bc}\)
\(\\ \sf\longmapsto cosA=\dfrac{25^2+31^2-32^2}{2(25)(31)}\)
\(\\ \sf\longmapsto cosA=\dfrac{625+961-484}{1550}\)
\(\\ \sf\longmapsto cosA=\dfrac{1102}{1550}\)
\(\\ \sf\longmapsto cosA=0.7109\)
\(\\ \sf\longmapsto A=cos^{-1}(0.7109)\)
\(\\ \sf\longmapsto A=44.7°\)
How do I go about solving this? (Teacher got sick mid-lesson & still wanted us to finish the worksheet but he never went over how to solve this kind of equation) Any kind of help is greatly appreciated.
\(g(a) = 4a-2\\h(a) = 3a\\Find: g(h(8))\)
The composite function g(h(8)) when evaluated is 94.
Evaluating the composite functionsFrom the question, we have the following parameters that can be used in our computation:
g(a) = 4a - 2
h(a) = 3a
To find g(h(8)), we need to first evaluate h(8), and then plug that result into g(a) and simplify.
h(a) is defined as 3a, so h(8) = 3(8) = 24.
Now we can plug in 24 for a in g(a) and simplify:
g(a) = 4a - 2
g(h(8)) = g(24) = 4(24) - 2 = 94
Therefore, g(h(8)) = 94.
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If the time now is 4 PM on Saturday, after 253 hours the time will be:
(A) Sun. 5AM
(B)Tues. 5AM
(C) Wed. 1AM
(D) Wed. 5AM
Answer:
C I'm pretty sure
Step-by-step explanation:
ayuda plisss lo tengo que entregar en una hora
Based on the computation, the information in the table will be:
1. Temperature: 5
Liters :38
2. Temperature: 10
Liters: 76.
3. Temperature: 15
Liters: 114
4. Temperature: 420
Liters: 152
How to illustrate the information?It should be noted that the information his will be used to illustrate the numbers.
When x = 5, y = 38
It should be noted the numbers are multiplied in ascending order.
Therefore, at 20. This will be:
= 4 × 38
= 152
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The quadrilateral is a trapezoid. What is the value of x?
A. 4
B. 5
C. 48
D. 25
If the quadrilateral is a trapezoid , then the value of x is = (b) 5 .
We know that the Midsegment of a trapezoid is parallel to each of the base and it's length is one half the sum of the lengths of the bases.
From the figure , we can observe that ⇒ side lengths are 21 units, 27 units , and the sides are parallel to each other.
From the given diagram of the trapezoid , the below expression is true:
that means : ⇒ 5x-1 = (21 + 27)/2 ;
⇒ 2(5x - 1) = 21 + 27 ;
⇒ 10x = 48 + 2 ;
⇒ 10x = 50
On Divide both sides by 10 ;
we have ;
⇒ x = 50/10 ;
⇒ x = 5 .
Therefore , for the quadrilateral the value of x is = 5 .
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The given question is incomplete , the complete question is
The quadrilateral in the below figure is a trapezoid. What is the value of x ?
(a) 4
(b) 5
(c) 48
(d) 25
the product of z and the complex number 5-6i is a real number. find two possible nonzero values of z.
To find the values of z that make the product with the complex number 5-6i a real number, we need to consider the imaginary part of the product.
The product of z and 5-6i can be written as:
z * (5 - 6i)
Expanding this expression, we get:
5z - 6zi
For the product to be a real number, the imaginary part (-6zi) must be equal to zero. This means that the coefficient of the imaginary unit i, which is -6z, must be zero.
Setting -6z = 0, we find:
z = 0
So, one possible nonzero value of z is 0.
However, since we are looking for nonzero values of z, we need to find another value that satisfies the condition.
Let's consider the equation for the imaginary part:
-6z = 0
Dividing both sides of the equation by -6, we have:
z = 0/(-6)
z = 0
Again, we find z = 0, which is not a nonzero value.
Therefore, there are no other nonzero values of z that make the product with the complex number 5-6i a real number. The only value that satisfies the condition is z = 0.
The cost in dollars to carpet a room that has a floor area of a square feet is 50a + 12h, where h is the number of hours it takes to lay the carpet. what is the cost of carpeting a room that has an area of 40 square feet and takes 6 hours to lay the carpet?
Therefore , the solution to the given problem of equation comes out to be the cost of carpet is $2072.
Explain equation.An equation is referred to as linear when all of the highest powers of the variables are equal to one. The components are interconnected. This kind of issue is also known as a one-degree equation. Learn how to solve a linear equation in one or two variables using the standard form, formula, graph, and instructions in the following paragraphs.
Here,
Given :
floor area of a square feet is 50a + 12h,
where h is the number of hours
Thus.
At t =6 and a =40
So ,
the cost of carpet
=> Cost = 50a + 12h
=> Cost = 50*40 + 12*6
=> Cost = 2000 + 72
=> Cost = 2072
Therefore , the solution to the given problem of equation comes out to be the cost of carpet is $2072.
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T/F: a dss can do a follow-up assessment on how well a solution is performing.
True, a decision support system (DSS) can conduct a follow-up assessment on how well a solution is performing. This is because a DSS is designed to analyze and evaluate data, as well as provide ongoing feedback on the effectiveness of decisions made using the system.
By monitoring key performance indicators and other metrics, a DSS can provide valuable insights into the success of a particular solution or course of action, allowing users to make more informed decisions going forward.
True: A Decision Support System (DSS) can do a follow-up assessment on how well a solution is performing. This allows for continuous improvement and optimization of the implemented solution based on the collected data and feedback.
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Thomas has 12 more marbles than twice the number of marbles Andrew has. Andrew has x marbles. Which expression represents how many marbles Thomas has?
Answer:
2x + 12
Step-by-step explanation:
Let
x = number of marbles Andrew has
Number of marbles Thomas has = 2x + 12
The expression which represents number of marbles Thomas has = 2x + 12
If Andrew has 2 marbles, that is, x = 2
Then, 2x + 12 = 2(2) + 12
= 4 + 12 = 16
Thomas = 16 marbles
Your group decides to visit a total of 4 rides. You will begin at the entrance,
visit 4 rides, and end at the exit.
Select 4 rides based on two criteria.
• First, select rides based on the most popular rides.
Second, select rides based on the shortest travel time between
locations.
State which 4 rides you selected and why you selected them.
Then, compute the total travel time. Be sure to include the travel time from
the entrance and to the exit.
PLEASE
ANSWER ASAP NO LINKS!!
Once the specific rides are selected based on popularity and shortest travel time, you can compute the total travel time by summing the travel times between the rides, including the time from the entrance to the first ride and from the last ride to the exit.
What is the distance?
Distance refers to the amount of space between two objects or points. It is a measure of the length of the path traveled by an object or a person from one point to another. The most common units of distance are meters, kilometers, feet, miles, and yards.
Based on the two criteria mentioned (popularity and shortest travel time), the selection of 4 rides would depend on the specific information available regarding popularity and travel times.
Since I do not have access to the information about the rides, I am unable to make a specific recommendation for the 4 rides to select.
However, I can provide a general approach to selecting the rides based on the given criteria:
1. Popularity: Identify the rides that are most popular based on factors such as visitor ratings, reviews, or attendance numbers. Choose the top 4 rides that are consistently mentioned as popular choices.
2. Shortest travel time: Determine the travel time between each ride location, including the entrance and exit.
Calculate the time it takes to move between each ride and consider the shortest overall travel route. Select the 4 rides that minimize the total travel time.
Hence, Once the specific rides are selected based on popularity and shortest travel time, you can compute the total travel time by summing the travel times between the rides, including the time from the entrance to the first ride and from the last ride to the exit.
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Work out m and c for the line:
2y+ 6x = -4
Answer:
Step-by-step explanation:
Solution for Solve for x. Assume that lines which appear tangent are tangent. 5) 13x + 2 T. U V 48° S. 130° M. ... A: Given: fx,y,z=x2y3+z4 and x=s2, y=st2 and z=s2t. a) Calculate the primary derivatives ∂f∂x, ∂f∂y, ∂f
Answer:
m = - 3, c = - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2y + 6x = - 4 ( subtract 6x from both sides )
2y = - 6x - 4 ( divide terms by 2 )
y = - 3x - 2 ← in slope- intercept form
with slope m = - 3 and y- intercept c = - 2
Let f, g, and h be the functions defined by f(x)=1−cosxx2, g(x)=x2sin(1x), and h(x)=sinx(x) for x≠0. All of the following inequalities are true for x≠0. Which of the inequalities can be used with the squeeze theorem to find the limit of the function as x approaches 0
The inequalities that can be used with the squeeze theorem to find the limit of the function as x approaches 0 are:
0 ≤ |g(x)| ≤ |f(x)|
0 ≤ |h(x)| ≤ |f(x)|
To apply the squeeze theorem to find the limit of a function as x approaches 0, we need to find two functions that "squeeze" the given function and have the same limit as x approaches 0.
Let's analyze the given functions:
f(x) = (1 - cos(x)) / x^2
g(x) = x^2sin(1/x)
h(x) = sin(x) / x
By examining the given functions, we can see that the squeeze theorem can be applied with the inequalities involving g(x) and h(x) because g(x) and h(x) both approach 0 as x approaches 0.
Specifically, the following inequalities can be used with the squeeze theorem to find the limit of the function as x approaches 0:
0 ≤ |g(x)| ≤ |f(x)|
0 ≤ |h(x)| ≤ |f(x)|
These inequalities show that g(x) and h(x) are bounded by f(x) and approach 0 as x approaches 0. Therefore, we can use the squeeze theorem to conclude that the limit of g(x) and h(x) as x approaches 0 is also 0.
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The application of the Squeeze Theorem can be demonstrated using g(x)=x^2 sin(1/x) bounded between -x^2 and x^2 as x approaches 0. Since the bounding functions approach 0, the limit of g(x) is also 0.
Explanation:The Squeeze Theorem, also known as the Sandwich Theorem, is a concept in calculus which states if a function f(x) is 'squeezed' between two other functions g(x) and h(x) for all x in an interval, and the limit of g(x) and h(x) at a point c is the same, then the limit of f(x) at c must also be the same.
Considering the functions in the question, it's possible that g(x)=x2sin(1/x) can be 'squeezed' between two appropriate functions for applying the Squeeze Theorem. One can create two bounding functions for g(x): -x2 ≤ g(x) ≤ x2, since sin(1/x) is bounded between -1 and 1. Therefore, as x approaches 0, both bounding functions approach 0, hence by the Squeeze theorem, the limit of g(x) as x approaches 0 is also 0.
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the options are
A- 156
B-91
C-26
D-11
The solution is, that central angle Ф is, 3.49 radians.
What is arc length?Arc length formula is used to calculate the measure of the distance along the curved line making up the arc (a segment of a circle). In simple words, the distance that runs through the curved line of the circle making up the arc is known as the arc length.
here, we have,
The arc length formula is s = rФ,
where r is the radius and Ф is the central angle.
We know s and r and need to calculate Ф.
now, we get,
From s = rФ
we get Ф = central angle = s/r
Here, that central angle Ф is,
(31.4 cm) / 9 cm
= 3.49 radians
Hence, The solution is, that central angle Ф is, 3.49 radians.
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A peron buy 5 cup of coffee at a kiok in the mall. The bill i under $20. 0. What i the cot of each cup?
The cost of each cup of coffee at a kiosk is $ 4.
Let the cost of each cup of coffee is $ x.
A person buys 5 cup of coffee at a kiosk in the mall.
This question is related to unitary method problems.
The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.
Then, the cost of 5 cup of coffee is 5x.
Given that bill is under $20.
So the cost of 5 cup of coffee will be $20.
5x=20
x=20/5
x=4
Therefore, the cost of each cup of coffee is $4.
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What is the volume of this Sphere?
8 pi cm3
16 pi cm3
27 pi cm2
36 pi cm2
Answer:
V = 36 pi cm^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3 where 4 is the radius
V = 4/3 pi(3)^3
V = 36 pi cm^3
Consider the given pseudo code. Write the function T(n) in terms of the number of operations, and then give the asymptotic (big Oh) complexity of the algorithm, show all the work you do. [ write the summation formula and solve it, or use the "Look for pattern"method. a. Matrix Multiplication
The function T(n) in terms of the number of operations is:
T(n) = 2n^3 + 3n^2 + 2n + 1 and the asymptotic complexity of the matrix multiplication algorithm is O(n^3).
To analyze the provided pseudo code for matrix multiplication and determine the function T(n) in terms of the number of operations, we need to examine the code and count the number of operations performed.
The pseudo code for matrix multiplication may look something like this:
```
MatrixMultiplication(A, B):
n = size of matrix A
C = empty matrix of size n x n
for i = 1 to n do:
for j = 1 to n do:
sum = 0
for k = 1 to n do:
sum = sum + A[i][k] * B[k][j]
C[i][j] = sum
return C
```
Let's break down the number of operations step by step:
1. Assigning the size of matrix A to variable n: 1 operation
2. Initializing an empty matrix C of size n x n: n^2 operations (for creating n x n elements)
3. Outer loop: for i = 1 to n
- Incrementing i: n operations
- Inner loop: for j = 1 to n
- Incrementing j: n^2 operations (since it is nested inside the outer loop)
- Initializing sum to 0: n^2 operations
- Innermost loop: for k = 1 to n
- Incrementing k: n^3 operations (since it is nested inside both the outer and inner loops)
- Performing the multiplication and addition: n^3 operations
- Assigning the result to C[i][j]: n^2 operations
- Assigning the value of sum to C[i][j]: n^2 operations
Total operations:
1 + n^2 + n + n^2 + n^3 + n^3 + n^2 + n^2 = 2n^3 + 3n^2 + 2n + 1
Therefore, the function T(n) in terms of the number of operations is:
T(n) = 2n^3 + 3n^2 + 2n + 1
To determine the asymptotic (big O) complexity of the algorithm, we focus on the dominant term as n approaches infinity.
In this case, the dominant term is 2n^3. Hence, the asymptotic complexity of the matrix multiplication algorithm is O(n^3).
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Keith's Florists has 10 delivery trucks used mainly to deliver flowers and flower arrangements. Of these 10 trucks, 4 have brake problems. A sample of five trucks is randomly selected. What is the probability that two of those tested have defective brakes?
The probability that exactly two out of the five randomly selected trucks have defective brakes is approximately 0.3456, or 34.56%.
To calculate the probability that two out of five randomly selected trucks have defective brakes, we need to use the concept of combinations and the probability of selecting a truck with brake problems.
We know that there are 10 trucks in total and 4 of them have brake problems, we can first calculate the probability of selecting a truck with a brake problem.
The probability of selecting a truck with a brake problem is given by:
P(defective truck) = Number of defective trucks / Total number of trucks
P(defective truck) = 4 / 10 = 0.4
Next, we need to calculate the probability of selecting exactly two defective trucks out of the five trucks tested. We can use the binomial probability formula for this calculation:
P(X = k) = C(n, k) * p^k * (1-p)^(n-k)
where:
P(X = k) is the probability of exactly k successes,
n is the total number of trials (number of trucks tested),
k is the number of successes (number of defective trucks),
p is the probability of success (probability of selecting a truck with brake problems), and
C(n, k) is the number of combinations of n items taken k at a time.
In this case, we have n = 5 (five trucks tested), k = 2 (two defective trucks), and p = 0.4 (probability of selecting a truck with brake problems).
Using the formula, we can calculate the probability:
P(X = 2) = C(5, 2) * 0.4² * (1-0.4)⁽⁵⁻²⁾
P(X = 2) = 10 * 0.4² * 0.6³
P(X = 2) = 10 * 0.16 * 0.216
P(X = 2) = 0.3456
Therefore, the probability that exactly two out of the five randomly selected trucks have defective brakes is approximately 0.3456, or 34.56%.
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what is the value of x in the equation 0.7x - 1.4 = -3.5
Answer: x=-3
Step-by-step explanation:
Answer:
I believe x=3
Step-by-step explanation:
0.7x- 1.4 = -3.5
+1.4. +1.4
0.7x = 2.1
divide both sides by 0.7 x= 3
What is the value of s after the following statement:
String s = (!true) + " : " + (10 + 4) + " is 104";
a. "!true : 104 is 104"
b. "false : 104 is 104"
c. "!true : 14 is 104"
d. "false : 14 is 104"
e. This is a compile-time error
Based on this evaluation, the correct answer is:
d. "false : 14 is 104"
The value of 's' after the given statement can be determined by evaluating each part of the expression step by step:
1. Evaluate (!true): Since 'true' is negated using the '!' operator, this expression becomes 'false'.
2. Concatenate " : " to "false": The resulting string also becomes "false : ".
3. Calculate (10 + 4): This arithmetic expression is equals to 14.
4. Concatenate "14" to "false : ": The resulting string becomes equal to "false : 14".
5. Finally, concatenate " is 104" to "false : 14": The final value of 's' becomes "false : 14 is 104".
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Thank u two for helping me just a little more
;)
Answer:
The last one, \(\frac{2}{5}\)
Step-by-step explanation:
This can be written as a ratio, 2:5.
Ratios can be rewritten as fractions.
\(\frac{2}{5}\)
i need help getting the answer to this pleaseDetermine the equation of the circle graphed below
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
Graph
Center = ( - 7 , 2)
Radius = 2
equation of the circle = ?
Step 02:
equation of the circle
(x - h) ² + (y - k) ² = r ²
( h , k) = ( - 7 , 2)
r = 2
( x - (-7)) ² + (y - 2)² = 2 ²
(x + 7)² + (y - 2)² = 4
The answer is:
The equation of the circle is (x + 7)² + (y - 2)² = 4
Consider the following closed economy, which we shall call Gazzalestan. C=80+9/10×Y D
I=1800
G=1600
TR=10
T=1/3×Y
If there is a B220 increase in autonomous investment, what is the change in equilibrium real GDP (assuming no change in the price level)? Round to two decimal places and do not enter the currency symbol. If your answer is B6.114, enter 6.11. If your answer is B6.115, enter 6.12. Do not forgot to enter the negative sign, if appropriate. For inquiring minds B is the currency symbol for Bitcoin, which is the official currency of Gazzalestan.
The change in equilibrium real GDP is B220.
To calculate the change in equilibrium real GDP resulting from an increase in autonomous investment, we need to use the expenditure-output model. In this model, equilibrium real GDP (Y) is determined by the aggregate expenditure (AE), which is the sum of consumption (C), investment (I), government spending (G), and net exports (NX). The equation is:
Y = AE = C + I + G + NX
Given the information provided, let's calculate the initial equilibrium real GDP (Y) using the given values:
C = 80 + (9/10)Y
DI = 1800
G = 1600
TR = 10
T = (1/3)Y
Substituting the values into the equation:
Y = (80 + (9/10)Y) + 1800 + 1600 + 10 - (1/3)Y
Simplifying the equation:
Y = 3490 + (5/6)Y
Multiplying through by 6 to remove the fraction:
6Y = 6(3490) + 5Y
6Y = 20940 + 5Y
Y = 20940
The initial equilibrium real GDP is 20940.
Now, let's calculate the equilibrium real GDP after the B220 increase in autonomous investment (ΔI):
Y' = Y + ΔI
Substituting the values:
Y' = 20940 + B220
Calculating the change in equilibrium real GDP:
Change in Y = Y' - Y
Change in Y = (20940 + B220) - 20940
Change in Y = B220
The change in equilibrium real GDP is B220.
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Referring to question 12, what is the probability that the father is heterozygous? a. 1/4 b. 1/2 c. 1 d. 1/16
The probability that the father is heterozygous is 1/2.
What is the probability?
Probability is a mathematical concept that describes the likelihood of an event occurring. It is a value between 0 and 1, where 0 means an event is impossible to occur and 1 means an event is certain to occur.
The concept of probability is used in many areas of mathematics, science, and engineering to make predictions and decisions based on uncertain information. In reference to question 12, the probability that the father is heterozygous would be one of the given answer options a. 1/4, b. 1/2, c. 1, or d. 1/16, depending on the specific details of the question and the information available.
Hence, The probability that the father is heterozygous is 1/2.
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Find the coordinates of the midpoint of HK if H (-1, 2) and K (-7, -4).
Answer:
(-4, -1)
Step-by-step explanation:
Given points:
H (-1, 2) and K (-7, -4)Midpoint coordinates are found using midpoint formula:
x = (x1+x2)/2 = (-1 - 7)/ 2 = -8/2 = - 4y = (y1+y2)/2 = (2 - 4)/2 = -2/1 = - 1Point coordinates:
(-4, -1)adult great basin rattlesnakes have a mean length of 40 inches and a standard deviation of 7.2 inches; the length of adult southern pacific rattlesnakes is also 40 inches on average, but with a standard deviation of 10.8 inches. both species have lengths that follow a normal distribution. you randomly select one great basin rattlesnake and one southern pacific rattlesnake. which is more likely be longer than 43.6 inches?
A Southern Pacific rattlesnake is more likely to be longer than 43.6 inches.
To calculate the probability of a rattlesnake having a length greater than 43.6 inches, we need to find the standard score (z-score) of 43.6 inches for each species and then use a standard normal table to find the corresponding probability.
The formula for the standard score is:
\($z = \frac{x - \mu}{\sigma}$\) where,
x is the value (43.6 inches)\($\mu$\) is the mean length of the species\($\sigma$\) is the standard deviation of the species.For Great Basin rattlesnakes:
\($\mu\) = 40 inches
\($\sigma\) = 7.2 inches
So,
\($z = \frac{43.6 - 40}{7.2} = 0.5$\)
Using a standard normal table, we find that the probability of a Great Basin rattlesnake having a length greater than 43.6 inches is approximately 0.306.
For Southern Pacific rattlesnakes:
\($\mu\) = 40 inches
\($\sigma\) = 10.8 inches
So,
\($z = \frac{43.6 - 40}{10.8} = 0.333$\)
Using a standard normal table, we find that the probability of a Southern Pacific rattlesnake having a length greater than 43.6 inches is approximately 0.379.
So, a Southern Pacific rattlesnake is more likely to be longer than 43.6 inches.
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subtract - 42 from - 32
Answer:
\(\boxed{10}\)
Step-by-step explanation:
-32 - (-42)
→ Remember that 2 minuses cancel to make a plus
-32 + 42 = 10
Answer:
\( - 32 - ( - 45) \\ = - 32 + 45 \\ = 10\)
Note :
Minus Minus -(-) = plus (+)
if (5x-72) what’s is x
Answer:
14.4
Step-by-step explanation:
5x-72=0
5x=72
(divide 5 from both sides)
x=14.4
There are 230 students enrolled in stat 155. suppose 127 of these students are majoring in computer science. The frequency for the number of computer science students enrolled in stat 155 is ____ and the relative frequency is ___ enter any decimal values to 3 places.
The frequency for the number of computer science students enrolled in Stat 155 is 127, and the relative frequency is approximately 0.552 (to 3 decimal places).
In Stat 155, there are 230 students enrolled, and 127 of them are majoring in computer science. The frequency for the number of computer science students enrolled in Stat 155 is 127. To find the relative frequency, divide the frequency by the total number of students:
Relative frequency = (Number of computer science students) / (Total number of students)
Relative frequency = 127 / 230 ≈ 0.552
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ABCD is a Rhombus with side length 10 cm. Angle ADC = 40. DAC is a sector of a circle with center D. BAC is a sector of a circle with center B. Calculate the shaded area.
The value of the shaded area is approximately 34.907 square centimeters.
How to calculate the area between a rhombus and a circle
According to the description in statement we prepared a representation of the figure in the image attached below. The shaded area is equal to the area of the circle sector (\(A\)), in square centimeters:
\(A = \frac{\theta\cdot \pi \cdot R^{2}}{360}\) (1)
Where:
\(R\) - Length of the radius, in centimeters. \(\theta\) - Angle of circle arc, in degrees.If we know that \(\theta = 40^{\circ}\) and \(R = 10\,cm\), then the area of the circle is:
\(A = \frac{(40)\cdot \pi\cdot (10\,cm)^{2}}{360}\)
\(A\approx 34.907\,cm^{2}\)
The value of the shaded area is approximately 34.907 square centimeters. \(\blacksquare\)
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Answer
1. x=12
hope it helped
Step-by-step explanation:
The answer is: X = 3
The right side has 20 while the left side has 8 in cubes.
3 X 4 = 12
The left side also has 12 in rectangle.
given that f(x) =3x+7 and g(x) x2/2 what is the value of f(g(4))
Given the following functions:
\(\begin{gathered} f(x)=3x+7 \\ g(x)=\frac{x^2}{2} \end{gathered}\)to find f(g(4)), we can start by finding g(4) first:
\(\begin{gathered} x=4 \\ \Rightarrow g(4)=\frac{(4)^2}{2}=\frac{16}{2}=8 \\ g(4)=8 \end{gathered}\)now that we know that g(4) = 8, we can calculate the composition f(g(4)):
\(undefined\)Answer:
f(g(4) ) = 31
Step-by-step explanation:
evaluate g(4) then substitute the value obtained into f(x)
g(4) = \(\frac{4^2}{2}\) = \(\frac{16}{2}\) = 8 , then
f(8) = 3(8) + 7 = 24 + 7 = 31