Answer:
\(\huge\boxed{7\ \text{inches}}\)
Step-by-step explanation:
As I mentioned earlier with a single side (line), rotations do not change the size of something. Only dilations do that. This goes for both lines AND shapes.
However, if the question said she dilated the piece, then yes, the length in inches would be different. However, rotation just changes the position and nothing happens to the length.
Hope this helped!
Which of the following are solutions to the equation below?
Check all that apply.
x2 + 4x-9 = x + 1
A. 2
B. 4
C. -7
D. -5
E. -3
F. -4
Answer:
A.2
Step-by-step explanation:
X is equal to 2
If you plug in 2 for X both sides will equal each-other
2(2) + 4(2)-9 = (2) + 1
4 + 8 - 9 = 3
12-9 = 3
3 = 3
Therefore X is equal to 2
Answer:
-5 and 2
Step-by-step explanation:
Brennan studied the relationship shown in the table.
x 3 4 5 6 7
y 36 48 60 72 ?
Which expression describes a method Brennan could use to determine the y-value when x equals 7?
Answer:
y = 12x
Step-by-step explanation:
Note the relationship
x = 3 : y = 36 , that is 36 = 12 × 3
x = 4 : y = 48, that is 48 = 12 × 4
x = 5 : y = 60 , that is 60 = 12 × 5
x = 6 : y = 72 , that is 72 = 12 × 6
The value of y is obtained by multiplying corresponding x value by 12
Then
x = 7 → y = 12 × 7 = 84
in general for any x
y = 12x
Jack earns $40 in interest each year on an investment. What is his interest rate if his principal was $200
Answer:
The interest rate is 20%.
Step-by-step explanation:
In order to calculate the interest rate, we need to compute how many percents the value he recieves is related to the total he invested. In this case he recieves 40 every year and he invested 200, to calculate that we will apply a rule of three. We have:
$200 -> 100%
$40 -> x%
200/40 = 100/x
200*x = 40*100
200*x = 4000
x = 4000/200 = 20
The interest rate is 20%.
You go to the movies and want to buy the combo at the concession that includes popcorn, candy and soda. You may choose from 8 candy items, 6 soda pops, and 2 popcorn. (a) How many different possible combos are available when you select a popcorn, a candy, and a soda? (Provide numerical answer.) (b) What is the name of the principle you use to calculate the number of possible combos? (State full name)
There are 96 different possible combos.
The principle used to calculate the number of possible combos is called the multiplication principle.
We have,
(a)
The number of possible combos, when you select a popcorn, a candy, and a soda.
= 8 (choices of candy) x 6 (choices of soda) x 2 (choices of popcorn)
= 96
(b)
The principle used to calculate the number of possible combos is called the multiplication principle.
Thus,
There are 96 different possible combos.
The principle used to calculate the number of possible combos is called the multiplication principle.
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Haley bought 5 boxes of pencils. She is going to give out the pencils to 10 of her friends. She wants to give each friend the same number of pencils. What does Haley need to know to figure out how many pencils she can give each friend?
We are given the quantities :
+) The number of boxes of pencils
+) The number of her friends
She cannot hand out pencils in boxes to her friends, as she has less boxes of pencils than the number of her friends (assuming they cannot share boxes of pencils.)
Therefore, the quantity we need to know is : The number of pencils in each box of pencils.
Will Give Brainliest Expert Help Please Find The Value Of X.
Answer:
343 is x because all you have to do is add them all together
10. A study of workplace benefits found that 56% of all American workers have a retirement plan, 68% have health insurances, and 49% have both. a) What is the probability that a randomly selected worker has a retirement plan or health insurance
To find the probability that a randomly selected worker has a retirement plan or health insurance, we need to add the probabilities of having a retirement plan and having health insurance and then subtract the probability of having both,
Since we don't want to count those workers twice. P(retirement plan or health insurance) = P(retirement plan) + P(health insurance) - P(both), P(retirement plan or health insurance) = 0.56 + 0.68 - 0.49, P(retirement plan or health insurance) = 0.75.
Therefore, the probability that a randomly selected worker has a retirement plan or health insurance is 0.75. we'll use the formula: P(A or B) = P(A) + P(B) - P(A and B), where A represents having a retirement plan, B represents having health insurance, and P(A and B) represents having both.
Given:
P(A) = 56% (retirement plan)
P(B) = 68% (health insurance)
P(A and B) = 49% (both)
Now we can plug these values into the formula: P(A or B) = 0.56 + 0.68 - 0.49 = 0.75, The probability that a randomly selected worker has a retirement plan or health insurance is 75%.
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I need help on this one please
Answer:
i think the answer is c
Step-by-step explanation:im just guessing but if it is wrong then im sorry
Find the area of ABCD with vertices A (5,-5), B(8,5), C(11, -15), and D(8, – 15).
The area of ABCD is
What square units?
( HURRY PLEASE HELP )
The area of ABCD is calculated as: 25 square units.
How to Find the Area of a Quadrangle?Given the following vertices for ABCD as:
A (5,-5),
B(8,5),
C(11, -15),
D(8, – 15)
The area of ABCD = area of triangle ABC + area of triangle ADC.
Use the area of a triangle formula, 1/2|x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|, to find the area of triangle ABC and the area of triangle ADC.
Area of triangle ABC:
A (5,-5) = (x1, y1)
B(8,5) = (x2, y2)
C(11, -15) = (x3, y3)
Plug in the values
Area of triangle ABC = 1/2|5(5 - (-15)) + 8(-15 - (-5)) + 11(-5 - 5)|
Area of triangle ABC = 1/2|100 - 10 - 110|
Area of triangle ABC = 1/2|-20|
Area of triangle ABC = 10 units²
Area of triangle ADC:
A (5,-5) = (x1, y1)
D(8, – 15) = (x2, y2)
C(11, -15) = (x3, y3)
Plug in the values
Area of triangle ADC = 1/2|5(-15 - (-15)) + 8(-15 - (-5)) + 11(-5 - (-15))|
Area of triangle ADC = 1/2|0 - 80 + 110|
Area of triangle ADC = 1/2|30|
Area of triangle ADC = 15 units²
Area of ABCD = 10 + 15 = 25 units².
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given a fixed point and a fixed line, a parabola consists of all points that are equidistant to the fixed point and the fixed line. t or f
True, parabola consists of all the set of points that are equidistant from the fixed point and the fixed line.
As given in the question,
Given statement is: Parabola consist of set of all the points which are equidistant from fixed point and fixed line.
The set of all the points which are lie on the trajectory of parabola are equidistant from a fixed point and the fixed line.Fixed point is known as the focus or focal point of parabola.Fixed line is called the directrix of the parabola.Equation of a parabola is: y = a(x-h)² + k or x = a(y-k)² +h, where (h, k) are the vertex of the parabola.Standard equation of a parabola is given by y² = 4ax.Therefore, parabola consists of all the set of points that are equidistant from the fixed point and the fixed line is a true statement.
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If a researcher needs a sample that is representative of the population they are studying, they could utilize a _______.
The researchers could utilize a probability sample.
Meaning of a Probability Sample
Every member of a population must have an equal chance of being chosen for a study in order for a sample to be considered a probability sample, and the researcher must be aware of this likelihood. The most typical type of sampling used in public opinion research, election polling, and other studies whose findings will be generalized to a larger population is probability sampling in which probability samples are made use of.
Probability Sample as the Representative of Population Sample
Here, a sample that qualifies for a representative of the population the researchers are studying, must consist of members having equal chances to be chosen for the study. Thus, a probability sample is the best representative of their study population.
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please help. The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?
Answer:
(-4,0) (-5,0) and (1,0)
Step-by-step explanation:
Jake opened up an account with $300 and
pays 2% annual simple interst. What is the
total amount of the account at the end of 3
years?
Answer:
5 he'll pay
Step-by-step explanation:
The mean, median and mode of the numbers below are the same,
what is the value of a?
6, 2, a, 7, 4, 9,6
Answer:
8
Step-by-step explanation:
Put the numbers in order from lowest to highest. Add all the numbers together. We will ignore a for this step. You should get 34 when adding it all together. Then if you were to add 8 to that 34 you'd get 42. Divide 42 by the amount of numbers you have which is 7. Your answer is 6. Now to make sure 8 is our value. We want to make sure the median is also 6. to find the median you need to have the numbers in order for lowest to highest and find the number in the middle. Don't forget to add your new number 8 into that order. You should get 6 as the median. Therefore our answer is 8
plz help plzzzz i really need help
Simplify 6a + 5a - a - 5 + 2a712a-513a-512a
By arranging similar terms, we have
\(\begin{gathered} 6a+5a+2a-a-5 \\ \text{which gives} \\ 13a-a-5 \end{gathered}\)since 13a minus a is 12a, the answer is
\(12a-5\)which corresponds to option 2 from top to bottom
Terry bought 4 apples for $0.59 each and a loaf of bread at the grocery store. If Terry
spent a total of $4.85, how much did he spend on the loaf of bread?
Answer: 2.36
Step-by-step explanation:
4x0.59=2$ 36 c
Write 13 /2 as a mixed number. Give your answer in its simplest form.
Answer:
6·¹₂ 6¹/₂
Step-by-step explanation:
by dividing 13 by 2, we get the quotient 6, remainder 1 and divisor as 2.
as we know, to write a mixed fraction, we follow Q^R/D, so we get 6¹/₂.
1) how many numbers between 1 and 1000 are divisible by 2 or 3, but not by 6? (figure out general approach.)
There are 500 numbers between 1 and 1000 that are divisible by 2 or 3 but not by 6. The approach is given below along with details.
To find the numbers between 1 and 1000 that are divisible by 2 or 3 but not by 6, we can use the principle of inclusion-exclusion.
First, let's determine the number of numbers divisible by 2. We know that every second number is divisible by 2, so there are 500 numbers divisible by 2 between 1 and 1000.
Next, let's determine the number of numbers divisible by 3. Every third number is divisible by 3, so there are 333 numbers divisible by 3 between 1 and 1000.
To find the numbers divisible by 6, we need to consider both 2 and 3 as factors. Every sixth number is divisible by 6, so there are 166 numbers divisible by 6 between 1 and 1000.
Now, to find the numbers that are divisible by 2 or 3 but not by 6, we subtract the numbers divisible by 6 from the total numbers divisible by 2 or 3.
The total numbers divisible by 2 or 3 are 500 + 333 = 833. Subtracting the numbers divisible by 6 (166) gives us 833 - 166 = 667 numbers.
However, this count includes the numbers divisible by both 2 and 3, which we need to exclude. Every sixth number is divisible by both 2 and 3, so we subtract the numbers divisible by 6 (166) from the count (667) again.
667 - 166 = 501. Therefore, there are 501 numbers between 1 and 1000 that are divisible by 2 or 3 but not by 6.
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33 + 55 = __ (3+5)
Help me with this
Answer:
11 I think and hi how are u ::):):):):):):):):):):):):):
Hilda adds 5 to a number, then multiplies the sum by -2. The result is 6. What is the number?
Answer:
-8
Step-by-step explanation:
what is equivalent to 15+3x
Answer:
maybe 3(5+x)
Step-by-step explanation:
I don't know if this is what you're looking for but if you factor the expression that is what you would get. It is something equivalent.
(1 point) three dice are rolled. let the random variable x represent the sum of the 3 dice. by assuming that each of the 63 possible outcomes is equally likely, find the probability that x equals 7.
The probability that x equals 7 is 1/9. The 63 possible outcomes is equally likely, the probability of getting a sum of 7 is given by the ratio of favorable outcomes to total outcomes, which is 7/63.
To find the probability that the sum of three dice equals 7, we need to determine the number of outcomes that satisfy this condition.
There are several ways to achieve a sum of 7:
(1, 2, 4), (1, 3, 3), (2, 2, 3), (2, 3, 2), (3, 1, 3), (3, 2, 2), and (4, 1, 2).
Therefore, there are 7 possible outcomes that result in a sum of 7.
Since each of the 63 possible outcomes is equally likely, the probability of getting a sum of 7 is given by the ratio of favorable outcomes to total outcomes, which is 7/63.
This simplifies to 1/9.
Thus, the probability that x equals 7 is 1/9.
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what factors predict how much money a film will earn? a data scientist at a top movie studio fits a multiple regression model to predict domestic gross earnings ($ millions) from: the film budget ($ millions), the film run time (minutes) average rotten tomatoes rating score [0, 100] gross
Therefore, the solution to this problem is the option 3) Gross =$204.1 million is the correct option.
What is regression model ?Regression analysis, which is used in statistical modeling, is a collection of statistical procedures for determining the associations between a dependent variable and one or more independent variables.
Here,
Given: Multiple regression model to predict domestic gross earning.
=> Gross = -27 + (1.1*Budget)-(0.43*runtime)+(2.6*return) + error
We have,
budget = $75 million
runtime = 120 minute
rotten tomatoes =77
=>Gross = -27 + (1.1*75)-(0.43*120)+(2.6*77)
=> Gross =$204.1 million
Therefore, the option 3) Gross =$204.1 million is the correct option.
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A cheetah can run at its top speed for about 25 seconds. Complete the table to represent a cheetah running at a constant speed.
Answer:
Put a picture Then I can help hun
Step-by-step explanation:
Answer:
ok this was a good one so here
Step-by-step explanation:
time (seconds)
distance (meters)
speed (meters per second)
4 120 30
25 750 30
9 270 30
is a subjective question, hence you have to write your answer in the Text-Field given below. A7008 As a Quality Analyst you are seeing the defects trend by type of defects and are plotting a histogram to do a Pareto analysis. Invent your own data to come up with a Pareto diagram, clearly identifying the top 20% category of defects and once done, deep-dive into the top category to do an Root Cause Analysis and come up with corrective action and preventive action plan. Please state your assumptions clearly at the beginning of your answer. a. Plot a neat histogram on plain paper, and identify the top 20% of the category of defects which contribute to 80% of the total volume of defects. [2 marks] b. Once you identify these top 20% defects, perform a Root Cause Analysis for the Top Contributing Factor using either 5-Why or the Fish-bone diagram method. [4 marks] c. Then, come up with a suitable corrective action plan and a preventive action plan to address the root cause, which should include who will do what
Assumptions: For the purpose of this exercise, let's assume that we are analyzing defects in a manufacturing process. We will invent data for five different categories of defects and their corresponding frequencies. the cumulative percentage for each category, we find that the top 20% category of defects is Category A.
a. Based on the invented data, the histogram analysis reveals the following distribution of defects and their frequencies:
Category A: 50 defects
Category B: 30 defects
Category C: 20 defects
Category D: 15 defects
Category E: 10 defects
To identify the top 20% of the category of defects contributing to 80% of the total volume, we calculate the cumulative frequency. Starting with the category with the highest frequency, we add up the frequencies until we reach 80% of the total. In this case, Category A contributes the highest frequency, and its cumulative frequency is 50. The total number of defects is 125 (50 + 30 + 20 + 15 + 10). By calculating the cumulative percentage for each category, we find that the top 20% category of defects is Category A.
b. Performing a Root Cause Analysis for the Top Contributing Factor (Category A) using the 5-Why method or Fishbone diagram helps determine the underlying causes. We identify potential factors such as equipment malfunction, operator error, insufficient training, or process variability. By asking "why" repeatedly, we dig deeper into each cause to uncover the root cause.
c. Based on the analysis, we develop a corrective action plan and preventive action plan. For example:
Corrective Action Plan: Assign qualified technicians to regularly inspect and maintain the equipment, conduct additional training for operators to enhance their skills, and implement process control measures to reduce variability.
Preventive Action Plan: Establish a preventive maintenance schedule for equipment, implement a comprehensive training program for all operators, and conduct regular process audits to identify and address potential issues proactively.
The corrective and preventive action plans should clearly define the tasks, responsibilities, and timelines. The maintenance department may be responsible for equipment maintenance, the training department for operator training, and the quality department for process audits. Regular monitoring and evaluation of the action plans should be conducted to ensure effectiveness and make any necessary adjustments.
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Which expression is equivalent to 30x−10?
Answer:
10 (3 x - 1)
Step-by-step explanation:
Abigail tosses a coin of a bridge into the stream below. The distance in feet, the coin is above the water is modeled by the equation y=-16x^2+96 +112 , where x represents time in seconds.
answer choices -
7 feet
112 feet
120 feet
256 feet
Jerry, Skyler and Kyle were measuring the tank (cylinder) for storing water tower on the hill. Working together Jerry and Skyler determine the circumference was approximately 295.3 feet. Kyle measured the height to be about 40 feet. What is the potential volume of the tank? (Round to the nearest tenth)
PLEASE THE ANSWER IS NOT 277591.1 OR 277450.4
The rounded potential volume of the tank is approximately 348,700.9 cubic feet, making the approximate volume of the tank 348,700.9 cubic feet.
To calculate the potential volume of the tank (cylinder), we need to know the radius of the base. However, the given information only provides the circumference of the tank and the height. We can use the circumference to find the radius, and then use the radius and height to calculate the volume of the cylinder.
Let's proceed with the calculations step by step:
Step 1: Find the radius of the tank's base
The formula for the circumference of a cylinder is given by:
C = 2πr, where C is the circumference and r is the radius.
Given that the circumference is approximately 295.3 feet, we can solve for the radius:
295.3 = 2πr
Divide both sides by 2π:
r = 295.3 / (2π)
Calculate the value of r using a calculator:
r ≈ 46.9 feet
Step 2: Calculate the volume of the cylinder
The formula for the volume of a cylinder is given by:
V = π\(r^2h\), where V is the volume, r is the radius, and h is the height.
Substitute the values we have:
V = π(\(46.9^2)(40)\)
V = π(2202.61)(40)
Calculate the value using a calculator:
V ≈ 348,700.96 cubic feet
Step 3: Round the volume to the nearest tenth
The potential volume of the tank, rounded to the nearest tenth, is approximately 348,700.9 cubic feet.
Therefore, the potential volume of the tank is approximately 348,700.9 cubic feet.
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Find the value of x in the triangle shown below.
15
х
9
Answer:
x=12
Step-by-step explanation:
\(x^{2}\)=\(15^{2}\)-\(9^{2}\)
\(x^{2}\)=225-81
\(x^{2}\)=144 /sqrt
x=12