Answer:
$75
Step-by-step explanation:
50% is half of the total, meaning that we can take half of $50, then add it to 50. Half of 50 is 25, so 50 + 25 = 75 dollars.
What is the length of side CB to one decimal place?
B
A
10
53°
C
▸
The length of side CB to one decimal place is 89.3.
To find the length of side CB in the given triangle, we can use the sine rule. The sine rule states that in a triangle, the ratio of the length of a side to the sine of its opposite angle is constant.
In this case, we have the angle C as 53° and the side opposite to it, side CB, as the unknown. Let's denote the length of side CB as x.
According to the sine rule:
sin(C) / x = sin(A) / AB
We know that angle A is 37° and AB is 120 units. Plugging in the values:
sin(53°) / x = sin(37°) / 120
To find x, we can rearrange the equation:
x = (120 * sin(53°)) / sin(37°)
Calculating this expression gives us:
x ≈ 89.32
Rounding this value to one decimal place, the length of side CB is approximately 89.3.
For more such questions on decimal,click on
https://brainly.com/question/28393353
#SPJ8
Shown below are the steps of a proof by contraposition of the statement "If n is an integer and 5n + 3 is odd, then n is even." Match each step with its explanation.1. Assume n is not even, that is, it is odd. 2.Then n = 2k + 1 for some integer k. 3.5n + 3 = 5(2k + 1) + 3 = 10k + 8 = 2(5k + 4) 4. Hence, 5n + 3 is even. Negation of the conclusion Definition of an odd integer Definition of an even number Arithmetic
The correct explanation of each step is 1. Assume n is not even, that is, it is odd. - Negation of the conclusion. 2.Then n = 2k + 1 for some integer k. - Definition of an odd integer.
What is contraposition of the statement?When one is familiar with the inverse statement, it is simple to comprehend how to construct a contrapositive statement. Take the negation of the hypothesis and the conclusion to produce the conditional statement's opposite. Create the inverted statement first, then swap the hypothesis and conclusion to create the contrapositive of the conditional statement.
3.5n + 3 = 5(2k + 1) + 3 = 10k + 8 = 2(5k + 4) - Definition of an even number
1. Assume n is not even, that is, it is odd. - Negation of the conclusion.
2.Then n = 2k + 1 for some integer k. - Definition of an odd integer.
3.5n + 3 = 5(2k + 1) + 3 = 10k + 8 = 2(5k + 4) - Definition of an even number Arithmetic.
4. Hence, 5n + 3 is even.
Learn more about contraposition here:
https://brainly.com/question/25211275
#SPJ4
If, in ΔABC, m∠A is 90º, which statement is true?
A. AB ⊥ BC
B. AB ⊥ AC
C. m∠ABC = m∠ACB
D. m∠ABC = 45º
What is the area, measured in square centimeters, of the green shape
pictured below? Do not include units in your answer.
Answer:
21
Step-by-step explanation:
To find the area of a parallelogram, we can split this shape up into a rectangle and two right triangles.
The rectangle:
The rectangle has dimensions of 4 by 3 centimeters therefore the area would be 4*3=12 cm squared
two right triangles:
The area of a triangle is 1/2 base * height, but since there are two triangles it would just be the base times the height. The base is 3 cm and the height is 3 so 3*3=9
Next, we add the two areas together: 12+9 = 21
. What kind of equation is 15x- 3 = 3(5x - 1)?
an identity
a false equation
an equation with no solution
a numeric equation
pls answer asap!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
whats the question???
Step-by-step explanation:
Answer: theres no question????? um but uh hope ur having a good day
Step-by-step explanation:
:?
\(\sqrt{x} 3500\)
Step-by-step explanation:
Download gauthmath it will help
A store opens at 8am. From 8 until 10am customers arrive at a Poisson rate of four an hour. Between 10am and 12pm they arrive at a Poisson rate of eight an hour. From 12pm and 2pm the arrival rate increases steadily from eight per hour at 12pm to ten per hour at 2pm; and from 2 to 5pm the arrival rate drops steadily from ten per hour at 2pm to four per hour at 5pm. Determine the probability distribution of the number of customers that enter the store on a given day.
The probability distribution of the number of customers that enter the store on a given day is described as follows:
Poisson with a mean of 70 customers.
What is the Poisson distribution?In a Poisson distribution, the mass function probability that X represents the number of successes of a random variable is given by the equation presented as follows:
\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)
The parameters are:
x is the number of successes that we want to find the probability of.e = 2.71828 is the Euler number.\(\mu\) is the mean in the given interval or range of values of the input parameter.A combination of Poisson variables is a Poisson variable, hence the daily distribution is a Poisson variable with mean given by the sum of these following observations:
8 customers from 8 am to 10 am.16 customers from 10 am to 12 pm.18 customers from 12 pm to 2 pm. (the average over the interval is of 9 an hour).28 customers from 2 pm to 5 pm.Hence the mean is of:
8 + 16 + 18 + 28 = 70 customers.
More can be learned about the Poisson distribution at https://brainly.com/question/7879375
#SPJ1
which of the following best describes the graph below?
The correct answer is the option A because in one-to-one functions, each y value corresponds to only one x value.
Jennifer is currently standing at 25 feet above sea level. Jim is swimming at 9 feet below sea level. How far apart are Jim and Jennifer? A. -34 b. -16 c. 16 d. 34
Answer:
D. 34 ft
Step-by-step explanation:
25+9=34
Jim is 34ft below Jenifer
You and your friend enter a drawing with 3 different prizes. A total of 11 people entered the drawing, and prizes are awarded randomly.
There are 990 ways to award the prizes.
What is the probability that you win first prize and your friend wins second prize?
A. \(\frac{1}{11}\)
B. \(\frac{9}{990}\)
C. \(\frac{1}{990}\)
D. \(\frac{11}{990}\)
The probability that you win first prize and your friend wins second prize is given as follows:
B. 9/990.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
The total number of outcomes is given as follows:
990.
The number of desired outcomes is of 9, as:
You win the first prize.Your friend wins the second prize.There are 11 - 2 = 9 people that can win the third prize.Hence:
1 x 1 x 9 = 9.
Meaning that the probability is of:
p = 9/990.
More can be learned about probability at https://brainly.com/question/24756209
#SPJ1
lve for m.
-3 + m
9 = 10
A.
-30
B.
63
C.
87
D.
93
The value of m that satisfies the equation -3 + m = 9 is m = 12.
To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.
-3 + m = 9
To move -3 to the other side, we can add 3 to both sides of the equation:
-3 + 3 + m = 9 + 3
Simplifying, we have:
m = 12
Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.
None of the provided answer options (A, B, C, D) match the correct solution.
for such more question on variable
https://brainly.com/question/19803308
#SPJ8
Compare the best estimate for 1.789/178 and 0.05. Which is less?
Answer:
The smaller number in 0.01
Step-by-step explanation:
To find this answer, just take the fraction and find the quotient of both numbers.
1.789/178 = 0.01005056179
Now take the quotient and compare it to 0.05.
Is 0.01 larger or 0.05 - the answer is 0.01.
Please help I don’t know these questions
GIVING ALOT OF POINTS AND I GIVE BRAINLIEST
The access ramp to a parking lot has a rise of 15 feet and a run of 57 feet. To the nearest degree, find the angle between the ramp and the run
will mark brainleist pls help
Answer:
x = 31°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , that is
x + 54° + 95° = 180°
x + 149° = 180° ( subtract 149° from both sides )
x = 31°
39. From the top of a vertical cliff 50 meters high, the angles of depression of an object that is levelled with
the base of the cliff is 30°. How far is the object from the base of the cliff?
A. 50 meters
B. 50-√3 meters
C. 100 meters
D. 100-√3 meters
40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.
The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."
A. sin 22
B. cos 22
C. tan 22
D. cot 22
41. From the top of the building of a food chain, the angle of depression from where Miguel stands is
45°. If the building is 12 meters high, how far is he from it?
A. 11 meters
B. 12 meters
C. 13 meters
D. 14 meters
42. A plane, at an altitude of 3,000 feet, observes the airport at an angle of 27°. What is the
horizontal distance between the plane and the airport to the nearest foot?
A. 3,000 feet
B. 4,000 feet
C. 5,000 feet
D. 6,000 feet
43. An escalator has an angle of elevation of 10° and a vertical rise of 6 m. Find the length of the
escalator.
C. 34.55 m
D. 36 m
A. 6,09 m
B. 34,03 m
Answer: cos4
Step-by-step explanation: 50 meters
B. 50-√3 meters
C. 100 meters
D. 100-√3 meters
40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.
The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."
A. sin 22
B. cos 22
C. tan 22
D. cot 22
Verify that the following function is a probability mass function, and determine the requested probabilities.
fx = (8/7(1/2)x
x = 0, 1, 2, ...
A. P(X = 2).
B. P(X ≤ 2).
C. P(X > 2).
D. P(X ≥ 1).
Is the function a probability mass function?
Answer:
yes
Step-by-step explanation:
In a data distribution that is skewed left.
The median will be greater than the mean in a left-skewed distribution
We have,
In statistics, skewness is a measure of the asymmetry of a probability distribution around its mean.
A distribution is said to be skewed left if it has a long tail on the left side and the bulk of the data is on the right side.
When the data is skewed left, it means that the distribution is being pulled towards the left side.
This is because there are a few extreme values on the left side that are pulling the mean in that direction.
In contrast, the median is the middle value of the dataset, and it is not influenced by outliers.
For a left-skewed distribution,
The median will be greater than the mean because the mean is being pulled towards the left by the few extreme values.
In a data distribution that is skewed left, the mean will be less than the median.
This is because the mean is sensitive to outliers and is pulled towards the direction of the skewness, while the median is not affected by extreme values and is a more robust measure of central tendency.
Therefore,
The median will be greater than the mean in a left-skewed distribution
Learn more about the median here:
https://brainly.com/question/28060453
#SPJ1
A rectangular garden is to be constructed using a rock wall as one side of the garden and wire fencing for the other three sides. Given that there are 30 meters of fencing available, determine the dimensions that would create the garden of maximum area. What is the maximum possible area?
The dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is 75 square meters
What is measurement?
Measurement is the process of assigning numerical values to physical quantities, such as length, mass, time, temperature, and volume, in order to describe and quantify the properties of objects and phenomena.
Let's assume that the rock wall is the width of the garden and the wire fencing is used for the length and the other two sides. Let's denote the length of the garden as L and the width as W.
Since we have 30 meters of fencing available, the total length of wire fencing used is:
L + 2W = 30 - W
Simplifying this equation, we get:
L = 30 - 3W
The area of the garden is:
A = LW
Substituting the expression for L from the previous equation, we get:
A = W(30 - 3W)
Expanding the expression, we get:
A = 30W - 3W²
To find the maximum area, we need to take the derivative of A with respect to W and set it equal to zero:
dA/dW = 30 - 6W = 0
Solving for W, we get:
W = 5
Substituting this value back into the expression for L, we get:
L = 15
Therefore, the dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is:
A = 5(15) = 75 square meters
To know more about measurement visit:
brainly.com/question/4804936
#SPJ1
Jason cuts out a square. If he rotates it along the edge labeled s, what three-dimensional shape is formed?
The three-dimensional shape is formed would be as; rectangle
Consider the square that has to be rotated about the axis as shown in the picture.
In the attached diagrams this square is black rectangle ABCD.
While rotating each point of the square will describe the circle. The circles with the greatest radii will be circles made by the points from the side that is opposite to the side on the axis of rotation.
We can take that point in any of the two surrounding quadrants. Example, if the point is on the positive x axis, then it can taken as of first quadrant or fourth quadrant.
The formed figure appears to be a rectangle.
Learn more about rotation of a point with respect to origin here:
https://brainly.com/question/18856342
#SPJ1
On a scale drawing of a boat, 15 feet are represented by 10 inches. If the drawing was 8 inches long, how long was the boat?
Answer:
12 feet
Step-by-step explanation:
On a scale drawing of a boat, 15 feet are represented by 10 inches.
This means \(15\,\,feet=10\,\,inches\)
\(1\,\,inch=\frac{15}{10}\,\,feet=\frac{3}{2}\,\,feet\)
Now, find the length of the boat if the drawing was 8 inches long.
Length of the boat = \(8(\frac{3}{2})=12\,\,feets\)
So, length of the boat is 12 feets if the drawing was 8 inches long.
Solve the inequality for n: 4n+2(n-1)>n+52
Answer:
n > 1.8
hope it's helpful ❤❤❤❤
THANK YOU.
Together, teammates Pedro and Ricky got 2673 base hits last season. Pedro had 281 more hits than Ricky. How many hits did each player have?
2,673 minus 281 is 2,392.
2,392 divided by 2 is 1,196.
1,196 plus 281 is 1,477.
Answer: Ricky hit 1,196 and Pedro hit 1,477.
Points A, B, C, and D lie on circle M. Line segment BD is
a diameter. The measure of arc CD equals the measure
of arc DA.
M
D
B
A
D
What is the measure of angle ADM?
O22.5°
30.0⁰
45.0°
67.5°
The measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.
To find the measure of angle ADM, we need to consider that angle ADM is an inscribed angle and its measure is half the measure of the intercepted arc AD.
Given that the measure of arc CD equals the measure of arc DA, it means that these arcs are congruent.
Therefore, the intercepted arcs AD and CD have equal measures.
Since angle ADM is an inscribed angle intercepting arc AD, the measure of angle ADM is half the measure of arc AD.
Therefore, the measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.
for such more question on measure of angle
https://brainly.com/question/25716982
#SPJ8
Huilan is 15 years younger than Thomas. The sum of their ages is 31 . What is Thomas's age?
The calculated value of Thomas's age based on the given parameters is 23 years
How to determine the value of Thomas's age?Let's use T to represent Thomas's age.
From the problem, we know that Huilan is 15 years younger than Thomas, so we can represent Huilan's age as T - 15.
The sum of their ages is given as 31, so we can write an equation:
T + (T - 15) = 31
Simplifying the left side of the equation, we get:
2T - 15 = 31
Adding 15 to both sides of the equation, we get:
2T = 46
Dividing both sides by 2, we get:
T = 23
Therefore, Thomas is 23 years old.
Read more about equations at
https://brainly.com/question/24873140
#SPJ1
6. Error Analysis Dakota said the third term of the expansion of (2g + 3h) is 36g2h². Explain Dakota's error. Then correct the error.
The binomial expansion is solved and the error in Dakota's statement is the incorrect substitution of 36g^2h^2 for the correct expression
Given data ,
Dakota made a mistake because the third term of the expansion of (2g + 3h) should have been 36g2h2. The binomial theorem asserts that the expansion of (2g + 3h) is as follows:
( x + y )ⁿ = ⁿCₐ ( x )ⁿ⁻ᵃ ( y )ᵃ
Here, x = 2g and y = 3h. Since term numbers begin at 0, since we are seeking for the third term, r = 2.
So , on simplifying the equation , we get
= nC2 * (2g)⁽ⁿ⁻²⁾ * (3h)²
= (n! / (2! * (n - 2)!)) * (2g)⁽ⁿ⁻²⁾ * (3h)²
= ((n * (n - 1)) / 2) * (2g)⁽ⁿ⁻²⁾ * (3h)²
Hence , the correct expression for the third term of the expansion of (2g + 3h) is ((n * (n - 1)) / 2) * (2g)^(n - 2) * (3h)², where n is the exponent in the binomial expansion.
To learn more about binomial expansion click :
https://brainly.com/question/3537167
#SPJ1
find any critical numbers of the function.
Answer:
(2, -4)
Step-by-step explanation:
\({ \sf{f(x) = {x}^{3} - {3x}^{2} }} \\ { \sf{ {f}^{l}(x) = {3x}^{2} - 6x }} \\ \\ { \sf{0 = x(3x - 6)}} \\ { \sf{0 = 3x - 6}} \: \: \: \: \: \\ { \sf{3x = 6}} \\ { \sf{x = 2}}\)
For x = 2
\({ \sf{f(2) = {2}^{3} - 3 {(2)}^{2} }} \\ { \sf{f(2) = 8 - 12}} \\ { \sf{f(2) = - 4}}\)
Point is (2, -4)
Drag each number to a box to complete the table. Each number may be used once or not at all
Each number should be dragged to a box to complete the table as follows;
Kilometers Meters
1 1,000
2 2,000
3 3,000
5 5,000
8 8,000
What is a conversion factor?In Science and Mathematics, a conversion factor can be defined as a number that is used to convert a number in one set of units to another, either by dividing or multiplying.
Generally speaking, there are one (1) kilometer in one thousand (1,000) meters. This ultimately implies that, a proportion or ratio for the conversion of kilometer to meters would be written as follows;
Conversion:
1 kilometer = 1,000 meters
2 kilometer = 2,000 meters
3 kilometer = 3,000 meters
4 kilometer = 4,000 meters
5 kilometer = 5,000 meters
6 kilometer = 6,000 meters
7 kilometer = 7,000 meters
8 kilometer = 8,000 meters
Read more on conversion factor here: brainly.com/question/28308386
#SPJ1
Missing information:
The question is incomplete and the complete question is shown in the attached picture.
what is 4 fourths of a dollar
Answer: The answer is 25%
Step-by-step explanation: