Answer:
3%
Step-by-step explanation:
the raise was $96; 96/3200; .03*100
ABCD is a rhombus. If AB = 2x + 12 , AC = 7x - 3, ∠=12°, and ∠= (4y - 1)°.
CD = __ .
Answer:
Step-by-step explanation:
ABCD is a rhombus. If AB = 2x + 12 , AC = 7x - 3, ∠=12°, and ∠= (4y - 1)°.
CD = __ .
A father is 38 years old, his sons are 13 and 5 years old, and his daughter is 8 years old. In how many years will the father be the same age as his children put together?
Answer: 6
Step-by-step explanation:
38+x= 13+5+8+x
38+x=26+x
38-26=2x
12=2x
x=6
If f(x) = 9-2 |x+2|, find f(-7).
-15
-1
1
19
Step-by-step explanation:
f(x) = 9 - 2|x + 2|
When x = 7, f(-7) = 9 - 2|(-7) + 2|
= 9 - 2|(-5)|
= 9 - 2(5)
= 9 - 10
= -1.
9514 1404 393
Answer:
-1
Step-by-step explanation:
Put -7 where x is and do the arithmetic.
f(-7) = 9 -2|-7+2|
= 9 -2|-5| = 9 -2·5 = 9 -10
f(-7) = -1
Decide whether the statement is true or false.
∅
⊆{1,2,3}
Yes, the given statement ∅ ⊆ {1,2,3} is correct.
We have to given that,
Relation is,
∅ ⊆ {1,2,3}
Since, We know that,
The empty set is a subset of every set.
Hence, The given statement ∅ ⊆ {1,2,3} is correct.
Therefore, It is true, such that ∅ ⊆ {1,2,3}
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Write an equation for the transformed logarithm shown below, that passes through (3,0) and (0,2) f(x)= Question Help: −b Video
The equation for the transformed logarithm that passes through the points (3,0) and (0,2) can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants to be determined.
To find the equation for the transformed logarithm, we need to use the given points (3,0) and (0,2) to determine the values of a, b, h, and k. Let's start with the point (3,0). Plugging the x-coordinate (3) into the equation, we have:
0 = -b * log(base a)(3 - h) + k
Next, we'll use the point (0,2) to obtain another equation. Plugging the x-coordinate (0) into the equation, we get:
2 = -b * log(base a)(0 - h) + k
Simplifying these equations, we have a system of equations to solve for a, b, h, and k. However, since the equation involves a logarithm, we need more information to determine the specific values of a, b, h, and k.The transformed logarithm function includes transformations such as vertical stretches/compressions (b), horizontal shifts (h), and vertical shifts (k). Without more specific information about these transformations or the base of the logarithm, it is not possible to determine the equation uniquely.
In general, the equation for a transformed logarithm can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants determined by the specific transformations applied to the logarithm function. It's important to have additional information or instructions to determine the values of a, b, h, and k and provide an equation that accurately represents the given transformed logarithm.
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Select the correct answer.
A company is analyzing whether its employees prefer to skip their lunch break and leave a half-hour early each day or take a lunch break and
leave at the normal time each day. It conducts an observational study to determine which option is selected more often. At the end of the first
week, the company finds that the majority of employees prefer to skip their lunch break and leave a half-hour early each day.
The company then repeats the observational study for 10 more weeks. The study yields the same results for only five of the weeks. What
generalization can be made from the results of this study?
A.
The majority of employees prefer to take a lunch break and leave at the normal time each day.
В.
The sample is biased; therefore, a generalization cannot be made regarding which option is selected more often.
C.
The results are inconclusive; therefore a generalization cannot be made regarding which option is selected more often.
D.
The majority of employees prefer to skip their lunch break and leave a half-hour early.
Answer:
C. The results are inconclusive; therefore a generalization cannot be made regarding which option is selected more often.
explanation:
just took the test on plato
Since the study yields the same results for only five of the weeks. So here the generalization could be made like option c.
What type of generalization made?Since at the closing of the first week the company determined the majority of the employees should prefer the lunch break and also the company repeats the observational study for 10 more weeks.
So here the output is to be inconclusive. Due to this, the generalization cannot be made with respect to the selection of the given options.
hence, the option c is correct.
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HELP PLEASE! for 20 points
PLEASE HELP!!!!! Consider the functions f(x)=x−7 and g(x)=4x3.
What is f(x)+g(x)?
Answer:
The answer is 13x-7
Step-by-step explanation:
f(x) is x-7, and g(x) is 4x3. 4x3 can also mean 12x , because 4x3 is 4*x*3. So, f(x) can be replaced with x-7, and g(x) can be replaced by 12x. (x-7)+(12x) is 13x-7.
5 Students in a math class are divided into three groups. Each
group is given a bag filled with an unknown number of
marbles. The students in each group select a marble at
random from their bag and then put it back. Each group
does this 50 times. Which of the statements below are true?
Select all that apply.
A There are definitely no purple marbles in Bag A.
B The probability of selecting a yellow marble from Bag C is approximately 7%.
C The probability of selecting a red marble from Bag B and the probability of
selecting a purple marble from Bag B are the same.
D If the group selects 10 more marbles from Bag C, about 5 will be purple.
E Each bag definitely contains the same number of marbles.
F The probability of selecting a white marble from Bag B and the probability of
selecting a white marble from Bag C are the same.
Red
White
Yellow
Purple
Bag A Bag B
39
10
2
9
0
15
15
10
Bag C
3
15
7
25
The applicable statements to the scenario, based on their probabilities, are as follows:
A. There are definitely no purple marbles in Bag A.
C. The probability of selecting a red marble from Bag B and the probability of selecting a purple marble from Bag B are the same.
D. If the group selects 10 more marbles from Bag C, about 5 will be purple.
E. Each bag definitely contains the same number of marbles.
F. The probability of selecting a white marble from Bag B and the probability of selecting a white marble from Bag C are the same.
What is the probability?Probability refers to the likelihood that an expected event or outcome occurs out of many possible events or outcomes.
The values of probability, which are fractional or proportional, lie between 0 and 1 based on the certainty level.
Red White Yellow Purple Total
Bag A 39 2 9 0 50
Bag B 10 15 15 10 50
Bag C 3 15 7 25 50
Total 52 32 31 35 150
A There are definitely no purple marbles in Bag A, which = 0.
B The probability of selecting a yellow marble from Bag C is approximately 7%. No, but 14% (7/50 x 100).
C The probability of selecting a red marble from Bag B = 20% (10/50 x 100) and the probability of selecting a purple marble from Bag B = 20% (10/50 x 100) are the same.
D If the group selects 10 more marbles from Bag C, about 5 will be purple because the probability of selecting a purple marble is 50% (5/10 = 25/50).
E Each bag definitely contains the same number of marbles, 50 each.
F The probability of selecting a white marble from Bag B (15/50) and the probability of selecting a white marble from Bag C (15/50) are the same (30%).
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Write a story problem for the equation 50 ÷ 10.??
Answer: Hayley is hosting a party. She has 50 pieces of candy she wants to give to her 10 friends. How many pieces should each friend get so everyone receives the same amount?
What is the measure of angle A in the given triangles?
Answer:
Step-by-step explanation:
A + 32° + 45° = 180°
A + 77° = 180°
A = 180° - 77°
A = 103°
I hope I've helped you.
Step-by-step explanation:
A + 32 + 45 = 180 (why? Sum inside angles = 180 degrees. Proof? If you want learning proof, I show you)
A = 103
how many volunteer hours do you need to get the silver cord at graduation at cypress bay high school
Note that a total of 250 volunteer hours is required to get the silver cord at graduation at cypress bay high school.
What is a silver cord in this context?
The Silver Cord program is a distinguished award available to high school students with the purpose of recognizing their out of school volunteer efforts.
Volunteer efforts are recognized within the context of theSilver Cord program to acknowledge and celebrate the contributions that high school students make to their communities through volunteer work.
By engaging in voluntary activities outside of school hours, students demonstrate their commitment to service, leadership, and making a positive impact on society,which aligns with the values promoted by the program.
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Select the correct answer.
Which expression represents a quadratic expression in complete factored form?
Α.
(x + 4)(x-3)
B.
(2x+4)(x+3)
C.
(x - 1)(3x-9)
D.
(x-2) + (x + 3)
Answer:
C. (x + 4)(x − 3)
Step-by-step explanation:
A quadratic expression in complete factored form can be written as the product of two linear factors, where each factor is in the form of (ax + b). The expression (x + 4)(x - 3) is in this form and can be expanded to the quadratic expression x^2 + x - 12.
Option A is a sum of two linear expressions, but it is not factored. Option B is a product of two linear expressions, but it can be simplified to the quadratic expression 3x^2 - 3x. Option D is a product of two linear expressions, but it can be simplified to the quadratic expression 2x^2 + 10x + 12.
Seraphina is driving two hours to visit her family. For the first hour, she traveled at a speed of 60 miles per hour. Then, in the second hour, she traveled at a speed of 74 miles per hour. What is the percentage increase of Seraphina's speed? If necessary, round to the nearest tenth of a percent
Seraphina's speed has increased by a factor of around 23% compared to the first hour.
What Is a Change in Percentage?
The ratio of the difference in the amount to its starting value multiplied by 100 is known as the percentage change. When a number's final value is determined by increasing or decreasing a percentage of its starting value, the percentage change of that quantity will always change.
How can you determine the percentage to the closest tenth?
Rounding to the closest tenth entails adding one integer after the decimal point. The number in the thousandths place, or the second number from the right of the decimal, must be considered while rounding. If the amount is five or more, we add one percent to the number in the tenth position.
Percent Change Formula = \(\frac{ (Final value -Initial value)}{ (Initial value)}\)× 100
Percent Change = \(\frac{(74-60)}{60}\)× 100
… = \(\frac{14}{60}\) × 100
... ≈ 0.23333 × 100
Percent Change ≈ 23.33%
The pace of Seraphina increased by around 23% in the second hour compared to the first.
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Which phrase describes the shape of the temperature data? symmetrical left-skewed right-skewed normal
In this distribution, the shape that describes the temperature data is left-skewed distribution.
What is left-skewed distribution?left-skewed distribution serves as a type of more values on the right side (tail) of the distribution graph .
Therefore, From the graph, majority of the data is to the right of the graph which is a left-skewed distribution.
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Answer:
B) left-skewed
Step-by-step explanation:
Leon has already had 4 science quizzes this semester. Going forward, he expects to have 4 quizzes per month.
Write an equation that shows how the total number of science quizzes, y, depends on the number of months that have passed, x.
The equation that shows how the total number of science quizzes, y, depends on the number of months that have passed, x is y = 4x.
An equation is a mathematical statement that shows the relationship between two or more values.
In this case, Leon has already had 4 science quizzes this semester and expects to have 4 quizzes per month going forward.
We can use an equation to show how the total number of science quizzes, y, depends on the number of months that have passed, x.
The equation for this would be y = 4x, where x is the number of months that have passed and y is the total number of science quizzes.
This equation shows that for each month that passes, the total number of science quizzes increases by 4
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What is the slope of the line?
A.) 1
B.) 1/2
C.) -2
D.) 2
Answer:
D
Step-by-step explanation:
HELP PLEASE
A city just opened a new playground for children in the community. An image of the land that the playground is on is shown.
A polygon with a horizontal top side labeled 40 yards. The left vertical side is 20 yards. There is a dashed vertical line segment drawn from the right vertex of the top to the bottom right vertex. There is a dashed horizontal line from the bottom left vertex to the dashed vertical, leaving the length from that intersection to the bottom right vertex as 12 yards. There is another dashed horizontal line that comes from the vertex on the right that intersects the vertical dashed line, and it is labeled 14 yards.
What is the area of the playground?
1,728 square yards
1,264 square yards
864 square yards
800 square yards
Answer:
multiply you 2 numbers first then you multiply the other numbers use calculator
Lindsay has and 8.5" by 11" piece of notebook paper. Her friends draws
an isosceles right triangle on the paper with legs 3 inches long. To the
nearest thousandth, what is the probability that a dot on the paper is
inside that triangle?
a family has five kids. what is the probability that they are three males and two females?
The probability of a family having three males and two females can be calculated using the concept of binomial probability.
In a family with five kids, each child has a 50% chance of being male or female. The probability of having three males and two females can be calculated by considering the different ways this combination can occur.
There are a total of 10 possible outcomes when arranging three males and two females in a sequence of five children (i.e., 5C3, where 5C3 represents the binomial coefficient "5 choose 3").
The probability of having three males and two females is given by the number of favorable outcomes divided by the total number of possible outcomes, which is 10/32 or 0.3125. Therefore, the probability of a family having three males and two females is approximately 31.25%.
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What is the slope of the line
Answer:
Passes through (0,1) and (1,3).
3-1/1-0=2/1=2
The slope of this line is 2
Step-by-step explanation:
how would you solve for the missing value in a proportion?
Answer:
a/b = c/d
a*d = b*c
Ex:
a/2 = 2/4
4a = 4
a = 1
1/2 = 2/4
if i toss a fair coin five times and the outcomes are ttttt, then the probability that tails appears on the next toss is (a) 0.5. (c) greater than 0.5. (e) 1. (b) less than 0.5. (d) 0.
On a strange railway line, there is just one infinitely long track, so overtaking is impossible. Any time a train catches up to the one in front of it, they link up to form a single train moving at the speed of the slower train. At first, there are three equally spaced trains, each moving at a different speed.
In the given scenario, where there is one infinitely long track and overtaking is impossible, the initial situation consists of three equally spaced trains, each moving at a different speed. The trains have the capability to link up when one catches up to the other, resulting in a single train moving at the speed of the slower train.
As the trains move, they will eventually reach a configuration where the fastest train catches up to the middle train. At this point, the fastest train will link up with the middle train, forming a single train moving at the speed of the middle train. The remaining train, which was initially the slowest, continues to move independently at its original speed. Over time, the process continues as the new single train formed by the fastest and middle trains catches up to the remaining train. Once again, they link up, forming a single train moving at the speed of the remaining train. This process repeats until all the trains eventually merge into a single train moving at the speed of the initially slowest train. In summary, on this strange railway line, where trains can only link up and cannot overtake, the initial configuration of three equally spaced trains results in a sequence of mergers where the trains progressively combine to form a single train moving at the speed of the initially slowest train.
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Which statement about f(x) = -x squared + 8x-7 is true?
Option D : The statement that is true about the quadratic function f(x)=-x²+8x-7, which states that the zeros are 1 and 7, because f(x) = -(x - 1)(x - 7).
To find the zeros of the quadratic function f(x) = \(-x^2 + 8x - 7\), we need to set f(x) equal to zero and solve for x:
\(-x^2 + 8x - 7 = 0\)
We can solve this quadratic equation using the quadratic formula or by factoring. Let's use factoring.
We can rewrite the quadratic expression as:
\(-(x^2 - 8x + 7)\)
To factor the expression, we need to find two numbers whose product is 7 and whose sum is -8. These numbers are -1 and -7. Therefore, we can rewrite the expression as:
-(x - 1)(x - 7)
So the zeros of the function are x = 1 and x = 7.
Therefore, the statement that is true is option D: The zeros are 1 and 7, because f(x) = -(x - 1)(x - 7).
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Which statement about f(x)=-x²+8x-7 is true?
A. The zeros are 1 and -7, because f(x)=-(x-1)(x+7)
B. The zeros are -1 and -7, because f(x)=-(x+1)(x+7)
C. The zeros are -1 and 7, because f(x)=-(x+1)(x-7)
D. The zeros are 1 and 7, because f(x)=-(x-1)(x-7)
10) Determine whether the events of rolling a fair die two times are disjoint, independent, both, or neither. A) Disjoint. B) Exclusive. C) Independent. D) All of these. E) None of these.
The answer is option (C), that is, the events of rolling a fair die two times are independent. The events are neither disjoint nor exclusive.
When rolling a fair die two times, one can get any one of the 36 possible outcomes equally likely. Let A be the event of obtaining an even number on the first roll and let B be the event of getting a number greater than 3 on the second roll. Let’s see how the outcomes of A and B are related:
There are three even numbers on the die, i.e. A={2, 4, 6}. There are four numbers greater than 3 on the die, i.e. B={4, 5, 6}. So the intersection of A and B is the set {4, 6}, which is not empty. Thus, the events A and B are not disjoint. So option (A) is incorrect.
There is only one outcome that belongs to both A and B, i.e. the outcome of 6. Since there are 36 equally likely outcomes, the probability of the outcome 6 is 1/36. Now, if we know that the outcome of the first roll is an even number, does it affect the probability of getting a number greater than 3 on the second roll? Clearly not, since A∩B = {4, 6} and P(B|A) = P(A∩B)/P(A) = (2/36)/(18/36) = 1/9 = P(B). So the events A and B are independent. Thus, option (C) is correct. Neither option (A) nor option (C) can be correct, so we can eliminate options (D) and (E).
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HELP ASAP
A picture is 7 inches wide and 9 inches long. A photographer enlarges it so it is 31.5 inches wide and 40.5 inches long. What scale factor was used to enlarge the picture?
9/7
7/9
31.5/7
7/31.5
The Scale factor was used to enlarge the picture is 7/ 31.5.
What is Scale factor?A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.
Given:
A picture is 7 inches wide and 9 inches long.
A photographer enlarges it so it is 31.5 inches wide and 40.5 inches long.
So, scale factor is
= Original dimension / Enlarged dimension
= 9/ 40.5
= 90/ 405
= 10/45
= 2/9
Now, simplifying the scale factor 7/31.5 because it has Nr < Dr.
= 7/ 3.15
= 70/31.5
= 2/9
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The expression 36/6x2+1 is equal to
13
4
2
18
Answer:
13
Step-by-step explanation:
....….........….....
Graph this line using the slope and y-intercept:
y=3x+3
Click to select points on the graph.
The graph of the function y = 3x + 3 is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
y = 3x + 3
The above function is an linear function that has been transformed as follows
Vertically stretched by a factor of 3Shifted up by 3 unitsNext, we plot the graph using a graphing tool by taking not of the above transformations rules
The graph of the function is added as an attachment
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A football team has four different jerseys that players wear throughout the season: school colors, white, throwback, and pink (for breast cancer awareness). The tree diagram shows the conditional probabilities of the outcome of their games when players wear each type of jersey.
For a randomly selected game, determine the probability that players wore their white jerseys, given that they won.
0.34
0.41
0.42
0.80
Answer:0.41
Step-by-step explanation: